The value of the function f(x) = 4 ( 7x ) for x = -2 is equal to f( -2 ) = -56.
As given in the question,
Given expression is equal to :
f(x) = 4 ( 7x )
Calculate the value of the given function for x = -2 is given by :
Substitute value of x = -2 we get.
f(-2)
= 4 ( 7 ( -2) )
Seven is positive and 2 is negative , multiplication of positive to negative is always negative.
So, 7 ( -2 ) is -14 Substitute in above equation we get,
= 4 ( -14 )
= -56
Therefore, the value of the function f(x) = 4 ( 7x ) for x = -2 is equal to
f( -2 ) = -56.
The complete question is :
If f(x) = 4 (7x) , what is the value of f(-2)?
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Pine Street, Rector Street, and Taylor Street intersect to form a triangular-shaped park as shown.
(picture below)
What is the correct order of the lengths of the streets from longest to shortest?
Answer:
Rector, Pine, Taylor
Step-by-step explanation:
The opposite side of each angle's lengths depend on how large the angle is. The larger the angle is, the longer the side. Because the angle opposite to Rector is the greatest, then it is the longest. Thus, then follows Pine and Taylor. Hope this helps!
A frozen yogurt stand charges per ounce of frozen yogurt purchased. There is an extra charge for a waffle bowl. The total cost (c), in dollars, for f ounces of frozen yogurt in a waffle bowl, is described by the function c = 0.45f + 1.
Which statement is true?
A. The cost of 0.45 ounce of frozen yogurt in a waffle bowl is $1.
B. Each ounce of frozen yogurt costs $1 and a waffle bowl is $0.45 extra.
C. Each ounce of frozen yogurt costs $0.45 and a waffle bowl is $1 extra.
D. The cost of 0.45 ounce of frozen yogurt in a waffle bowl is $1.45.
The true statement when the frozen yogurt stand charges per ounce of frozen yogurt purchased is B. Each ounce of frozen yogurt costs $1 and a waffle bowl is $0.45 extra.
How to explain the function?In the scenario, the total cost (c), in dollars, for f ounces of frozen yogurt in a waffle bowl, is described by the function c = 0.45f + 1.
In this case, it is important to note that Each ounce of frozen yogurt costs $1 and a waffle bowl is $0.45 extra.
For example, for 2 ounces, this will be:
= 0.45f + 1
= 0.45(2) + 1
= 0.9 + 1
= $1.9
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I need help with an orthocenter of a triangle question. Brainly is having a problem uploading my picture so here is the question: Find the coordinates of the orthocenter of the triangle with the given vertices: P(-1,2), Q(5,2), R(2,1). My Textbook has horrible step by step instructions and I really want to understand this process. Thanks!
The orthocenter of the triangle with vertices P(-1,2), Q(5,2), R(2,1) is
(2, 5)How to find orthocenterOrthocenter is calculated by
finding the slope of a side and the slope of the line perpendicular to the side finding the equation of the perpendicular line passing through the third side of the trianglerepeat step 1 and 2 for another sideWith two equations, solve for the two unknowns (x, y)this gives the coordinate of the orthocenterformula for slope is
m = (y₂ - y₁) / (x₂ - x₁)
slope of the perpendicular = -1/m
Using side PR P(-1,2) R(2,1) ,
m = (1 - 2) / (2 - -1)
m = 1 / 3
slope of the perpendicular = -1/m = - 1 / (1/3) = -3
using point-slope formula for equation of line passing through Q (5, 2)
point slope formula
(y - y₁) = m (x - x₁)
(y - 5) = -3 (x - 2)
y - 5 = -3x + 6
y = -3x + 6 + 5
y = 11 - 3x
Using side PQ P(-1, 2), Q(5, 2)
m = (2 - 2) / (5 - -1)
m = 0
slope of horizontal line is zero for horizontal line the perpendicular is a vertical line
using point-slope formula for vertical line passing through R (2, 1)
point slope formula
(y - y₁) = m (x - x₁)
0 = (x - 2)
x = 2
The two equations are
y = 11 - 3x
x = 2
solving both equations with x already known
y = 11 - 3 * 2
y = 11 - 6
y = 5
Therefore the orthocenter is (2, 5)
The triangle is attached
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3.) Johannes sold an order of 3 Strawberry pies
for $12.50 each. She paid her assistant
$1.10 for each Strawberrye pie sold. How much
money did Johannesearn from the pies sold?
Answer:
$34.20
Step-by-step explanation:
Since each pie is $12.50 but the assistant gets $1.10 for each pie, Johannes will get $11.40 for each pie sold.
We know that there were 3 pies sold so you must solve the equation below
11.40*3
The answer is $34.20
Katyhas$100,000inasavingsaccount.Theinterestrateis8%peryearandisnotcompounded.Howmuchwillshehaveintotalin2years? Use the formula i = prt, where i is the interest earned, p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years. $
The amount that Katy would have saved in her savings account in 2 years is $16, 000
How to find the amount saved?Given that the interest on the savings account is not compounded, the amount that Katy would have saved in 2 years can be found by the formula:
= Principal x Interest Rate x Time
Principal = $100, 000
Interest rate = 8%
Time = 2 years
The amount that Katy would have saved is:
= Principal x Interest Rate x Time
= 100, 000 x 8% x 2
= $16, 000
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hole me out on this thanks
Answer: [tex]5^{2} + 4[/tex]
Step-by-step explanation:
[tex]2 + 3^3[/tex] =?
2 + 27 = 29
10 * 2 - 9 = 20 - 9 = 11
[tex]5^2 + 4[/tex] = 25 + 4 = 29
[tex]5^3\\[/tex] = 5 * 5*5 = 125
3+ 4 * 3 = 3 + 12 = 15
f(x)=(-3x^2-1)/3x^3 does f have an inverse function?
Answer: Yes, Probably
A 6-foot-tall woman walks at 8ft/s toward a streetlight that is 30 ft above the ground. At what rate is the tip of her shadow moving? I got nothing on this bit the picture, and don't know where to start. does anyone know how to solve this one?
The rate at which the tip of the woman's shadow is moving, found by making use of the relationships between similar triangle and differentiation is 10 ft/s
What are similar triangles?Similar triangles are triangle in which all three sides of one proportional to three sides of the other triangle
Height of the woman = 6 ft.
The speed with which the woman walks towards the streetlight = 8 ft/s
The length of the shadow of the woman
Height of the street light = 30 ft.
Let a represent the horizontal distance from the woman to the street light, and let b represent the horizontal distance from the woman to the tip of her shadow, from the similar triangles formed by the shadow, we have;
[tex]\dfrac{30}{x+y} =\dfrac{6}{y}[/tex]
Which gives;
[tex]y = \dfrac{x}{4}[/tex]
The length of the tip of the woman's shadow to the street light, l, in terms of x is therefore;
[tex]l =x + y = x + \dfrac{x}{4} = \dfrac{5\cdot x}{4}[/tex]
[tex]\dfrac{dx}{dt} = 8[/tex]
Therefore, dx = 8·dt
x(t) = 8·t
Writing the function for the l in terms of time t gives;
[tex]l = \dfrac{5\cdot x}{4}[/tex]
[tex]l = \dfrac{5\times 8\cdot t}{4} = \dfrac{40\cdot t}{4} = 10\cdot t[/tex]
The speed at which the tip of the shadow is moving,
[tex]\dfrac{dl}{dt} = \dfrac{d}{dt} \left (10\cdot t ) = 10[/tex]
The speed of the shadow dl/dx = 10 ft./s
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Directions - Write an equation in slope-intercept (y = mx + b) form for each line.
The equation in slope intercept form of the line that passes through the graph is y = 2/3x + 2
How to determine the equation of the line?From the graph, we have the points to be given as
(-3,0) and (0,2)
Start by calculating the slope of the points using the following slope equation
m = (y₂ - y₁)/(x₂ - x₁)
Where
(x, y) = (-3,0) and (0,2)
So, we have
m = (2 - 0)/(0 + 3)
Evaluate
m = 2/3
The equation is then calculated as
y = m(x - x₁) + y₁
Where
(x, y) = (0, 2) and m = 2/3
So, we have
y = 2/3(x - 0) + 2
Expand
y = 2/3x + 2
Hence, the equation in slope intercept form of the line is y = 2/3x + 2
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The blood types of 200 people are collected at a doctor’s office. The table shows the breakdown of patients by blood type.
If a person from this group is selected at random, what is the probability that this person has type AB blood? Express your answer as a fraction
Blood Type Survey Results
Blood Type Number of Patients
A 45
B 65
O 75
AB 15
When a person from this group is selected at random, the probability that this person has type AB blood is 3/40
What is probability?Probability is the occurence of likely events. It is the area of mathematics that deals with numerical estimates of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1. In this case, 0 denotes the impossibility of the event and 1 represents certainty.
It should be noted that in this case, the number of people with AB blood is 15 and there are 200 people. The probability will be:
= Number of AB blood type / Total number of people
= 15 / 200
= 3/40
The probability is 3/40.
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The table shows the fraction of the world's surface land area taken up by each continent. In other words, the continent of Africa makes up StartFraction 20 Over 100 EndFraction of the land in the world. How much greater is the fractional part of the continent of North America than the fractional part of the continent of Europe ?
Answer:
[tex]\frac{9}{100}[/tex]
Step-by-step explanation:
According to the map, North America makes up [tex]\frac{16}{100}[/tex] of the world's land surface area, while Europe makes up [tex]\frac{7}{100}[/tex]. Since both fractions already have a common denominator ( [tex]\frac{n}{100}[/tex] ), we can simply subtract the two to find how much greater the fractional part of North America is than the fractional part of Europe:
[tex]\frac{16}{100}-\frac{7}{100}=\frac{9}{100}[/tex]
Given: 5(2x-4)=10
Prove: x=3
Drag the correct reason to the box.
After simplifying an equation the value of x is x = 3.
What is solving an equation?
Unifying Principle for Equation Solving
By deleting parenthesis and grouping like terms, each side of the equation can be made simpler.
The variable term on one side of the equation can be separated using addition or subtraction.
To find the variable, use multiplication or division.
Consider, the given equation
5(2x - 4) = 10
10x - 20 = 10 Removing parenthesis
10x -20 + 20 = 10 + 20 Adding 20 on both sides
10x = 30 Simplifying
x = 3 Dividing both sides by 10
Hence, the value of x is, x = 3.
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Please refer to picture
Using the corresponding angle theorem, the value of x is 15 and y is 12.
In the given question we have to find the value of x and y.
From the graph we can see that
From the corresponding angle theorem
4x+2=62
Subtract 2 on both side, we get
4x=60
Divide by 4 on both side, we get
x=15
So the value of x is 15.
Similarly from the corresponding angle theorem
12y=144
Divide by 12 on both side, we get
y=12
So the value of y is 12.
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Juan is playing a game in which he can win $100 with probability 0.2, $300 with probability 0.3, and $500 with probability 0.5. What is the expected value of Juan's winnings?
Juan's winnings has an expected value of $360
How to determine the expected value of Juan's winnings?The given parameters in the question are:
$100 with probability 0.2,
$300 with probability 0.3,
$500 with probability 0.5.
The expected value is then calculated as
E(x) = Sum of (amount * probability)
Substitute the known values in the above equation, so, we have the following representation
E(x) = 100 * 0.2 + 300 * 0.3 + 500 * 0.5
Evaluate
E(x) = 360
Hence, the expected value is $360
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Find the dimensions of the rectangle with the largest area; it has two vertices on the x-axis and two vertices above the x-axis on the graph of
y = 5 − x^2.
Answer:
(2/3)√15 wide by 10/3 tall, approx 2.582 by 3.333
Step-by-step explanation:
You want the dimensions of the largest rectangle that fits under the graph of y = 5 -x² above the x-axis.
DimensionsThe graph of y=5-x² is symmetrical about the y-axis, so the width of it will be x -(-x) = 2x and the height will be 5-x².
AreaThe area will be the product of the width and height:
A = WH
A = (2x)(5 -x²) = 10x -2x³
Maximum areaThe area will be a maximum where the derivative of the area function is zero.
dA/dx = 10 -6x² = 0
x² = 10/6
x = (√15)/3
The corresponding rectangle dimensions are ...
width = 2x = (2/3)√15
height = 5 -x² = 5 -5/3 = 10/3
The rectangle with largest area is (2/3)√15 wide by 10/3 tall.
pls i will give top rating
A summation, also known as a sum, is the result of arithmetic addition of numbers or quantities.
The value of x = 6 and y = 6 then the number exists 6 and the sum of the digits is 9.
How to find the value of x?Any of the following algebraic expressions should be used: addition, subtraction, multiplication, and division. Bring the variable to the left and all the remaining values to the right to find the value of x.
From the given information, we get
x - y = 6 ...............(1)
"if five times the smaller number is two times the larger number"
from the above information, we get
5y = 4x + 2
5) To simplify the value of y:
y = (4x +2) / 5 ...............(2)
Substitute y = (4x +2) / 5 in (1), then we get
x - (4x + 2) / 5 = 6
5x / 5 - (4x + 2) / 5 = 6
simplifying the above equation, we get
(5x - 4x - 2) / 5 = 6
x - 2 = 5 x 6
x -2 = 30
x = 32
Substitute the value of x in (2)
y = 4(32) + 2 / 5
simplifying the above equation, we get
y = 130 / 5
y = 26
From (1), we get
x - y = 6
substitute the value of x and y in the above equation,
32 - 26 = 6
6 = 6
6) T is the 10s digit
X is the one's digit
The two digit number is 10T + X
It is 7 times the sum of the digits, so the 2 digit number is 7 times as large as the sum of the digits
10T + X = 7(T+X)
By using distributive law
10T + X = 7T + 7X
10T + X - 7T - 7X = 0
simplifying the above equation, we get
3T - 6X = 0
3(T - 2X) = 0
T - 2X = 0
T = 2X
The tens digit is 3 more than the one's digits, so
T = X + 3
Then we have
T = 2X = X + 3
Subtracting X from both sides,
T - 3 = X + 3 - 3
X = 3
The Tens digit is 6.
The number is 63.
The sum of the digits is 9.
9 × 7 = 63.
Therefore, the value of x = 6 and y = 6 then the number exists 6 and the sum of the digits is 9.
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Kyle buys $50,000 of company XYZ's shares, at a share price of
$100. A year later, XYZ's share price is $110, and Kyle sells all his
shares. How many dollars did Kyle's investment gain?
The share Kyle sells worth $55000 and Kyle's gain amount is $5000
Given,
The share bought by Kyle of company XYZ = $50,000
The share price = $100
The share price after an year = $110
We have to find the gain amount by Kyle when Kyle sells all his shares.
Here,
We can apply Unitary method;
100 ⇒ 110
50000 ⇒ x
Compute;
100x = 110 x 50000
x = (110 x 50000) / 100
x = 110 x 500
x = $55000
Now,
Kyle gains,
55000 - 50000 = $5000
That is,
The share Kyle sells worth $55000 and Kyle's gain amount is $5000
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A plant manufactures part whose lengths are normally distributed with a mean of 16.3 centimeters and a standard deviation of 2.5 centimeters.
Question:
If one part is randomly selected, find the probability that the part is between 10.8 and 12.8 centimeters.
The probability that the plant manufactures a part between 10.8 and 12.8 centimeters 13%
How to find the probability that the part is between 10.8 and 12.8 centimetersThe probability is solved z scores, this measures the amount of standard deviation sample X is from mean. the formula is below
z = (X - μ) / σ
Definition of variables
mean, μ = 16.3 centimeters
standard deviation, σ = 2.5 centimeters
X = 10.8 and 12.8 centimeters
z score, z
substituting into the formula
for X = 12.8 centimeters
= (X - μ) / σ
= (12.8 - 16.3) / 2.5
= -1.4
the p value for z of -1.4 = 0.161513
for X = 10.8 centimeters
= (X - μ) / σ
= (10.8 - 16.3) / 2.5
= -2.2
the p value for z of -2.2 = 0.027807
the probability is calculated as below
0.161513 - 0.027807= 0.133706
= 0.13
=13%
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Marvin is helping his teachers plan a field trip. There are 136 people going on the field trip and each school bus holds 51 people. What is the minimum number of school buses they will need to reserve for the trip?
Answer: 3 busses
Step-by-step explanation:
HELPPP FOR BRAINLEST????
Answer:
[tex]2,8,14,20[/tex]
Step-by-step explanation:
If the first term of a sequence is [tex]2[/tex] and the common difference is [tex]6[/tex], then each successive term in the sequence is [tex]6[/tex] more than the previous term:
[tex]a_n=6n-4[/tex]
Therefore, the first term is [tex]2[/tex], followed by [tex]8[/tex], [tex]14[/tex], and [tex]20[/tex].
write 10 forms for 1 over 8 as you can think of, be creative and use positive and negative powers or other forms of number.
The 10 forms 1/8 can be written is as follows;
1/81 ÷ 81/2³1/√64[tex]{8}^{ - 1} [/tex][tex]{√64}^{ - 1} [/tex]1 : 8[tex]{2}^{ - 3} [/tex]2/164 : 32How to write 1/8 in different forms?A fraction refers to a number which consists of a numerator and a denominator.
A numerator is the upper value of a fraction.
A denominator is the lower value of a fraction.
1 over 8 can be written in the following ways;
1/8
1 ÷ 8
1/2³
= 1 / 2×2×2
= 1/8
1/√64
= 1/8
[tex]{8}^{ - 1} [/tex]
= 1/8
1 : 8
= 1/8
[tex]{√64}^{ - 1} [/tex]
= 1/√64
= 1/8
[tex]{2}^{ - 3} [/tex]
= 1/2³
= 1/8
2/16
= 1/8
4 : 32
= 4/32
= 1/8
In conclusion, 1/8 can be written in different forms including using square root and ratios.
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A plant manufactures parts whose links are normally distributed with a mean of 16.3 cm and a standard deviation of 2.5 cm if one part is randomly selected find the probability that the part is between 10.8 and 12.8 cm
The probability that the part is between 10.8 and 12.8 cm is 0.0669.
What is a normal distribution?
Data near the mean are more likely to occur than data distant from the mean, according to the normal distribution, which is symmetric around the mean.
Here, we have
Mean = 16.3cm
Standard deviation = 2.5cm
We have to find the probability that the part is between 10.8 and 12.8 cm
Now,
we know that z = (x−μ)/σ
putting values in the normal distribution formula, we get
P( 10.8 < x < 12.8) = P( (10.8 - 16.3)/2.5 < z < (12.8 - 16.3)/2.5)
= P ( -2.2 < z < -1.4)
P( 10.8 < x < 12.8) = 0.0669, by normal distribution table
Hence, the probability that the part is between 10.8 and 12.8 cm is 0.0669.
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Write as a single fraction in its lowest terms: 3(2x-1)/5 -2 (4x -2)/2
The single fraction in its lowest terms will be;
⇒ - 7(2x - 1)/2
What is mean by Fraction?
A fraction is a part of whole number, and a way to split up a number into equal parts.
Or, A number which is expressed as a quotient is called fraction.
It can be written as the form of p : q, which is equivalent to p / q.
Given that;
The fraction is,
⇒ 3 (2x - 1)/5 - 2 (4x - 2)/2
Now,
Solve the fraction as;
The fraction is,
⇒ 3 (2x - 1)/5 - 2 (4x - 2)/2
⇒ 3 (2x - 1)/5 - (4x - 2)
⇒ 3 (2x - 1)/5 - 2 (2x - 1)
⇒ (2x - 1) (3/5 - 2)
⇒ (2x - 1) (3 - 10)/2
⇒ (2x - 1) (- 7/2)
⇒ - 7(2x - 1)/2
Thus, The single fraction in its lowest terms will be;
⇒ - 7(2x - 1)/2
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find zeros f(x)=x^4-6x^3-21x^2=150x-100 given k=5
The zeros of the polynomial x⁴ - 6x³ - 21x² - 150x - 100 are 0.6511 and 8.262 respectively
Zeros of a PolynomialZeros of polynomial are the points where the polynomial equals zero on the whole. In simple words, we can say that zeros of polynomial are values of the variable such that the polynomial equals 0 at that point. Zeros of a polynomial are also referred to as the roots of the equation and are often designated as α, β, γ respectively.
The zeros of a polynomial f(x) are the values of x which satisfy the equation f(x) = 0. Here f(x) is a function of x, and the zeros of the polynomial are the values of x for which the f(x) value is equal to zero. The number of zeros of a polynomial depends on the degree of the equation f(x) = 0. All such domain values of the function, for which the range is equal to zero, are called the zeros of the polynomial.
To find the zeros of this polynomial function, we have to write the function appropriately.
x⁴ - 6x³ - 21x² = 150x - 100
x⁴ - 6x³ - 21x² - 150x - 100 = 0
The roots of this function is 0.6511 and 8.262 respectively
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PLEASE HURRY I WANT TO FIISH MY TEST PLEASE ASAP!!!
Determine which integers in the set S:{−32, −8, 16, 32} will make the inequality one fourth times the difference of m and four is less than or equal to one eighth times the difference of m and sixteen false.
The integer in the set S:{−32, −8, 16, 32} will make the inequality one fourth times the difference of m and four is less than or equal to one eighth times the difference of m and sixteen false is 32
What is an inequality?Inequalities are created through the connection of two expressions. It should be noted that the expressions in an inequality aren't always equal. Inequalities implies that the expressions are not equal. They are denoted by the symbols ≥ < > ≤.
In this case, based on the information we will replace m with 32. This will be illustrated thus:
1/4(32 - 4) ≤ 1/8 (32 - 16)
= 1/4(28) ≤ 1/8(16)
= 7 ≤ 2
In this case, 7 isn't less than or equal to 2. Therefore, 32 is the correct integer.
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Can you help me solve this problem?
The probability that the sample proportion surviving for at least 3 years will be less than 67% is of:
0.1131 = 11.31%.
Normal Probability DistributionThe z-score of a measure X of a variable that has mean symbolized by [tex]\mu[/tex] and standard deviation symbolized by [tex]\sigma[/tex] is given by the rule presented as follows:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score represents how many standard deviations the measure X is above or below the mean of the distribution, depending if the calculated z-score is positive or negative.Using the z-score table, the p-value associated with the calculated z-score is found, and it represents the percentile of the measure X in the distribution.By the Central Limit Theorem, for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex], as long as [tex]np \geq 10[/tex] and [tex]n(1 - p) \geq 10[/tex].The proportion and the sample size are given as follows:
p = 0.73, n = 80.
Hence the mean and the standard error are given as follows:
[tex]\mu = 0.73[/tex].[tex]s = \sqrt{\frac{0.73(0.27)}{80}} = 0.0496[/tex]The probability that the sample proportion surviving for at least 3 years will be less than 67% is the p-value of Z when X = 0.67, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
Z = (0.67 - 0.73)/0.0496
Z = -1.21
Z = -1.21 has a p-value of 0.1131.
Hence the probability is:
0.1131 = 11.31%.
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The data from a simple random sample with 25 observations was used to construct the plots given below. The normal probability plot that was constructed has a correlation coefficient of 0.975. Judge whether a t-interval could be constructed using the data in the sample.
It could be said that the normal probability plot does not suggest that the data could come from a normal population, even though the boxplot does not show any outliners, so a t- interval could not be constructed.
If the data from a simple random sample with 25 observations was used to construct the plots given below. The normal probability plot that was constructed has a correlation coefficient of 0.975., on analysing
The normal plot does not suggest that the data could come from a normal population, even though the boxplot does not show any outliners, so a t- interval could not be constructed.
Therefore, It could be said that the normal plot does not suggest that the data could come from a normal population, even though the boxplot does not show any outliners, so a t- interval could not be constructed.
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Given the inequality 4x ≤ 28, determine the value of x.
Step-by-step explanation:
Given the inequality 4x ≤ 28, determine the value of x.
4x ≤ 28
divide both sides by 4:
4x/4 ≤ 28/4
x ≤ 7
set builder notation: (-∞, 7]
answer:
The value of x is 7.
Step-by-step explanation:
4x ≤ 28 | divide both sides by 4
4x / 4 = x and 28 / 4 = 7
therefore, x ≤ 7
Mark earns a salary of £28000 per annum. At the end of the on increase first year he is given he is of 3%.. At end of the second given an increase of 2.5%. Work out Mark's salary at the end of the two years.
Answer:
£27839
Step-by-step explanation:
O×M=N (original x multiplier = original value)
£28000×0.97%=£27160< 1st year decrease
£27160x1.025=£27839<2nd year increase
work out the size of angle x 24
Answer:
78°
Step-by-step explanation:
You want the measure of base angle x in an isosceles triangle with a.pex angle 24°.
Base angleThe two base angles of an isosceles triangle are congruent. The sum of all angles is 180°, so we have ...
24° +2x = 180°
12° +x = 90° . . . . . . divide by 2
x = 78° . . . . . . . subtract 12°
The measure of angle x is 78°.
