work out the size of angle x 24

Work Out The Size Of Angle X 24

Answers

Answer 1

Answer:

  78°

Step-by-step explanation:

You want the measure of base angle x in an isosceles triangle with a.pex angle 24°.

Base angle

The 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°.


Related Questions

Find the product. Simplify your answer
2x² (4x³+2y¹)
12x³y +6
08x5 +4y6
48x5y6
8x5 +8x²y¹

Answers

Answer: The answer is D bc i did the test before hope you have a great day:]

Step-by-step explanation:

8

x

5

6

x

4

+

12

x

3


Find the value of x.
36
x+3
x=?

Answers

Answer:

x = 15

Step-by-step explanation:

A segment joining the midpoints of two sides of a triangle is half the length of the third side , then

x + 3 = [tex]\frac{1}{2}[/tex] × 36 = 18 ( subtract 3 from both sides )

x = 15

NO LINKS!! Please help me with these graphs Part 3​

Answers

Answer:

[tex]\textsf{a.} \quad x = 1 - \sqrt{7},\quad x = 1 + \sqrt{7}[/tex]

b.  y = -6

c.  Minimum point at (1, -7).

d.  Domain:  (-∞, ∞)

e.  Range:  [-7, ∞)

f.  See attachment.

Step-by-step explanation:

Given function:

[tex]\text{f}(x)=x^2-2x-6[/tex]

As per the question, use a graphing calculator to graph the given function.

Part a

The x-intercept(s) are the points at which the curve crosses the x-axis.

x-intercepts:  [tex]x = 1 - \sqrt{7},\quad x = 1 + \sqrt{7}[/tex]
These are x = -1.6 and x = 3.6 to one decimal place.

Part b

The y-intercept is the point at which the curve crosses the y-axis.

y-intercept:  y = -6

Part c

From inspection of the graph:

Minimum point at (1, -7).

Part d

The domain of a function is the set of all possible input values (x-values).

The domain of the given function is unrestricted.

Domain:  (-∞, ∞)

Part e

The range of a function is the set of all possible output values (y-values).

As the function has a minimum point at y = -7, the range is restricted.

Range:  [-7, ∞)

Part f

Graph label the axes using a scale of 1 (see attachment).

Plot the minimum point (1, -7).  
The axis of symmetry is the x-value of the vertex:  x = 1.Plot the x-intercepts:  (-1.6, 0) and (3.6, 0)Plot the y-intercept:  (0, -6)Using the axis of symmetry to ensure the curve is symmetrical, draw a curve through the plotted points.



17. Copy each statement. Insert +, -, x, or ÷ symbols to make each statement
true.
a. 17 ? 2? 3 ? 8 = 3
b. 33 ? 3? 2 ? 5 = 1

Answers

Answer:

a. 17 - 2 × 3 - 8 = 3

b. 33 ÷ 3 - 2 × 5 = 1

Step-by-step explanation:

a. 17 - 2 × 3 - 8 = 3

b. 33 ÷ 3 - 2 × 5 = 1

in​ 2017, a journal reported on trends in​ sugar-sweetened beverage​ (SSB) consumption. A random sample of youths aged 12 to 19 years old were asked to monitor all food and beverages consumed in a​ 24-hour period. The study was done in 2005 and repeated in 2014. The numbers who consumed a sugary beverage such as soda or fruit juice in a day are shown in the accompanying table

Answers

The 95% confidence interval for the distribution of the difference of proportions, using the z-distribution, is given as follows:

(0.11, 0.146).

How to find the confidence interval for the difference of proportions?

The first step is finding the proportion and standard error for each sample, as follows:

2005: [tex]n = 3486 + 2248 = 5734, p_1 = \frac{3486}{5734} = 0.608, s_1 = \sqrt{\frac{0.608(0.392)}{5734}} = 0.0064[/tex]2014: [tex]n = 2754 + 2980 = 5734, p_2 = \frac{2754}{5734} = 0.48, s_2 = \sqrt{\frac{0.48(0.52)}{5734}} = 0.0066[/tex]

For the distribution of differences, the mean and the standard error are given as follows:

p = 0.608 - 0.48 = 0.128.s = sqrt(0.0064² + 0.0066²) = 0.0092.

The z-distribution is used as we are working with proportions, hence the bounds of the interval are given as follows:

p ± zs.

The critical value for a 95% confidence interval with the z-distribution is of z = 1.96.

Hence the lower bound of the interval is:

0.128 - 1.96 x 0.0092 = 0.11.

The upper bound of the interval is:

0.128 + 1.96 x 0.0092 = 0.146.

What is the missing information?


The information regarding each sample is given by the image at the end of the answer, and the problem asks for the 95% confidence interval for the differences.

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After a 31% mark up, you purchase a new television for $524. What was the original price of the television?

Answers

Answer:

162.4$

Step-by-step explanation:

mark me on brainliest please follow me to

Finding slope for (-1,1) and (5,4)

Answers

Answer:

Slope = 0.75

Step-by-step explanation:

Slope Formula: y2-y1/x2-x1

4-1/5-1=3/4=0.75

Which of the following statements would be represented with P → Q? Question 14 options: A) x = 5, but y = 9. B) If x = 5, then 2x = 10. C) x = 5, and 2x ≠ 8. D) x = 5 if and only if y = 9.

Answers

The statement that can represent P = Q is If x = 5, then 2x = 10. That is option B.

What is equivalent value?

An equivalent value is defined as the value or an equation that can be used to replace another value in an expression.

From the question, the expression P--> Q means that P = Q.

The statement that shows that a value is equivalent to the other;

x = 5, then 2x = 10

That is, X = 5 can also be written as follows;

2x = 10.

This is because, when 2x = 10 is simplified, X = 10/2 =5

Therefore, P =Q because both shears the same value and can be said to be equivalents.

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Write a sentence for 2(3+5n)=an

Answers

The sentence which represents the algebraic equation is; "Twice the sum of 3 and and five times a number n is equal to the product of the number and another number, a".

Which sentence represents the algebraic expression?

It follows from the task content that the sentence which represents the equation given be determined.

First, the expression 3 + 5n can be interpreted as; the sum of 3 and 5 times a number, n.

Also, the expression "an" can be interpreted as the product of n and another number a.

Therefore, the whole equation; 2(3+5n)=an can be interpreted as;

"Twice the sum of 3 and and five times a number n is equal to the product of the number and another number, a".

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the width of a desk is 3 inches lees than its length write an expression to represent the width of the desk

Answers

The expression to represent the width of the desk is (x-3) inches where x is the length of the desk.

According to the question,

We have the following information:

The width of a desk is 3 inches less than its length.

Now, let's take the length of the desk to be x inches.

Now, we will convert the given word sentence using this variable into an algebraic expression.

Note that the words less than means that the number has to be subtracted from the length of the desk.

So, we have the following expression:

Width of the desk = (x-3) inches

Hence, the expression to represent the width of the desk is (x-3) inches where x is the length of the desk.

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Describe in words where the square root of 50 minus 10 would be plotted on a number line.

Between −3 and −2, but closer to −3
Between −3 and −2, but closer to −2
Between 6 and 7, but closer to 6
Between 6 and 7, but closer to 7

Answers

The required value lies Between 6 and 7, but closer to 6. Option C is correct.

Given that,
The square root of 50 minus 10 would be plotted on a number line.

What is a number line?

A number line is defined as the number marked on the line calibrated into an equal number of units. For example -1, 0, 1, and so on.

According to the question,
= √[50-10]
= √40
= 6.32
Which is closer to 6.

Thus, the required value lies Between 6 and 7, but closer to 6. Option C is correct.

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Write the equation of a parabola with the focus at (3, 0) and the directrix at x = –3.

x^2 = –3y
y^2 = –3x
x^2 = 12y
y^2 = 12x

Answers

The equation of the parabola whose focus is at (3, 0) and directrix at x = - 3 is y² = 12 · x. (Correct choice: D)

How to derive the equation of the parabola

In this problem we need to determine the equation of a parabola based on the information of the focus and the directrix. The vertex form of the parabola is described below:

4 · p · (x - h) = (y - k)²

Where p is the distance from the vertex to the focus. The coordinates of the vertex is the midpoint of the line segment of the least distance between the directrix and the focus.

First, determine the coordinates of the vertex:

(h, k) = 0.5 · (- 3, 0) + 0.5 · (3, 0)

(h, k) = (0, 0)

Second, calculate the distance from the vertex to the focus:

p = 3 - 0

p = 3

Third, write the vertex form of the parabola:

y² = 12 · x

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a) 50 students in a hostel had provisions for 60 days. (i) How long would the provisions last for 1 student? (ii) How long would the provisions last for 40 students?​

Answers

Answer:0.8

Step-by-step explanation:

0.8 can be used for 1 student and 40. :)

The values are;

i, For 1 student, it would take = 1 1/5 days

ii. For 40 students, 48 days

How to determine the days

First, we need to know that proportion is an equation made equal to another.

From the information given, we have that;

50 students in a hostel had provisions for 60 days.

This is represented as;

50 students = 60 days

Then, we get that;

i, If 50 students = 60 days

1 students = x days

cross multiply the values

x = 60/50

x = 1 1/5 days

ii.  If 50 students = 60 days

40 students = x days

x = 60(40)/50

divide the values

x = 48 days

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Given m=-1/2 and n= -1/3 which is greater

Answers

Answer: n is greater than m

Step-by-step explanation:

if m=-1/2 then that means its -.50 and n=-1/3 meaning its -.333(...)

so n is greater (remember its negative so higher numbers are actually lesser in value)

Hope this helped... :)

Question 1 (1 point) Saved Is the following statement True or False? We want to use the formula A = ½ab(sin(C)). Consider an obtuse triangle ABC. We know the lengths of a,b and c. but only know the angle for B. Are we are still able to use this formula? True False​

Answers

Answer:

1). True

2). x = 16.4 m^2

3). A = 24, h = 4

4). A = 18.39

5). 162

Step-by-step explanation:

I took this quiz on K12 and got everything correct! Brainliest welcome! :)

Can you please help and finish with steps by 8/11/2022 PLEASE !

Answers

Answer:

squares: 1, 36, 64, 289, 324cubes: 1, 64, 125, 216, 512

Step-by-step explanation:

You want lists of the perfect squares and perfect cubes from the set {1, 36, 64, 98, 125, 216, 289, 324, 480, 512}.

Perfect squares

A "perfect square" is the square of an integer, the value obtained by multiplying the integer by itself.

Squares of numbers 1–10 are ...

  1, 4, 9, 16, 25, 36, 49, 64, 81, 100

And from 11–20:

  121, 144, 169, 196, 225, 256, 289, 324, 361, 400

The squares on your list are 1, 36, 64, 289, 324.

Perfect cubes

A "perfect cube" is the cube of an integer, the value obtained by using the value 3 times as a factor in a product. (n³ = n×n×n)

Cubes of numbers 1–10 are ...

  1, 8, 27, 64, 125, 216, 343, 512, 729, 1000

The cubes on your list are 1, 64, 125, 216, 512.

__

Additional comment

Any integer to the 6th power will be both a perfect square and a perfect cube. The integers 1 = 1⁶, 64 = 2⁶, and 729 = 3⁶ are such numbers.

one number is 10 more than another. their product is -25

Answers

Answer: resource - trust me bro

Step-by-step explanation: Let x = the smaller numberLet 2x + 10 = the larger numberx(2x + 10) = 1002x^2 + 10x - 100 = 0Divide both sides of the equation by 2.x^2 + 5x - 50 = 0(x - 5)(x + 10) = 0x - 5 = 0 or x + 10 = 0x = 5 or x = -10, not a positive number2x + 10 = 2(5) + 10 = 20

Neeeedddd Helpp Pls!!! I'll give brainliest to the person with the correct answer!
Show work please.

M∠M = 6x – 6 and m∠P = 4x + 10, what is m∠M?

Answers

First, we need to write an equation. Because there’s 2 markings around both angle M and angle P, they are congruent. From there, we can say:

6x-6 = 4x + 10
This equation is to solve for x

2x-6 = 10 (Subtract 4x from both sides)
2x = 16 (Add 6 to both sides)
x = 8 (Divide both sides by 2)

Then, plug in 8 to x. You’ll get 48-6 is the measure of angle M, so the answer is 42 degrees. Hope this helps

ANSWER: 42 degrees

A pentagon is transformed according to the rule R0, 180°. Which is another way to state the transformation?

Answers

Answer:

Using transformation rules, the transformation can also be stated by option A, that is (x, y) → (–x, –y).

------------------------------------

The first option, of (x, y) → (–x, –y), is a rotation of 180º degrees around the origin, which is the transformation made on the pentagon.

As for the other transformations:

The second option, (x, y) → (–y –x), is a reflection around the line y = -x.

The third option, of (x, y) → (x, –y), is a reflection across the x-axis.

The fourth option, of (x, y) → (–x, y), is a reflection across the y-axis.

Step-by-step explanation:

Please help it's due to tomorrow

Answers

Answer:

Account A is incorrect the interest that you would earn is $8.60, not $860.00

Step-by-step explanation:

differentiate y=in(3-4cosx)​

Answers

For given equation y = ln(3 - 4 cos(x))​,

dy/dx =  4sin(x) / (3 - 4 cos(x))

In this question, we have been given an equation y = ln(3 - 4 cos(x))​

We need to differentiate y = ln(3-4cosx)​

dy/dx

= d/dx(ln(3 - 4 cos(x))​)

= 1/(3 - 4 cos(x))​ * d/dx(3 - 4cos(x))               .......(by Chain rule)

= 1/(3 - 4 cos(x))​ * [4 sin(x)]

= 4sin(x) / (3 - 4cos(x))

Therefore, for given equation y = ln(3 - 4 cos(x))​,

dy/dx =  4sin(x) / (3 - 4 cos(x))

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Anthony wants to start making periodic investments in a retirement account. He will make a yearly contribution of $3,000 at the beginning of each year. The account will pay 7.2% interest, compounded monthly. How much will his account be worth after 35 years?

Answers

After 35 years, Anthony's account is going to be worth $34193.12

How to solve for the compound interest

The formula for the compound interest is given as

[tex]A = P(1 + r)^t[/tex]

Where we have the principal = 3000

the rate of interest = 7.2%

The period of time = 35 years

We have to input these values in the formula above so that we would have

A = 3000 ( 1 + 0.072)³⁵

A = 3000 x 11.398

= $34193.12

Hence we would have that after the period of 35 years, the account would be worth $34193.12

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Fewer than ​%97 of adults have a cell phone. In a reputable poll of 1160 ​adults, ​%88

said that they have a cell phone. Find the value of the test statistic

Answers

The value of the test statistic of the hypotheses is; -17.969

How to find the test statistic?

The test statistic is defined as a number, calculated from a statistical test, which is used to find if your data could have occurred under the null hypothesis.

We are given;

Sample size; n = 1160

Sample proportion; p^ = 88% = 0.88

Population proportion; p = 97% = 0.97

The claim is about the population proportion (p) in the hypotheses. Since we are told that fewer than 97% of adults have a cell phone, then the claim is; p < 0.97

The null hypothesis is expressed as;

H₀: p = 0.97

The alternative hypothesis is expressed as;

Hₐ: p < 0.97

The value of the test-statistic is gotten from the formula;

z = (p^ - p)/(√(p(1 - p)/n))

z = (0.88 - 0.97)/(√(0.97(1 - 0.97)/1160))

z = -17.969

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2(x+5)=20 what does x===???????????????????/

Answers

Answer:

x = 5

Step-by-step explanation:

2(x+5) =20  Distribute the 2

2(x) + 2(5) = 20

2x + 10 = 20  Subtract 10 from both sides of the equation

2x = 10  Divide both sides by 2

x = 5

Answer:

5

Step-by-step explanation:

2(x + 5) = 20 Divide both sides by 2

x + 5 = 10

x = 10 - 5

x = 5

What is the largest multiple of 30 which is less than 520?

Answers

The largest multiple of 30 that is less than the number, 520, can be found to be 510.

How to find the multiple?

To find the largest multiple that 30 has, which is also less than 520, first find the number of times that 30 can go into 520:

= 520 / 30

= 17.333

Then use this number to find the largest multiple below 520 by rounding 17.33 downwards to 17.

The multiple of 30 that is the largest and below 520 is then:

= 30 x Rounded down result of division of 520

= 30 x 17

= 510

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A margin of error tells us:

Answers

The margin of error tells you how many percentage points your results differ from the true population value.

What is margin of error?

The margin of error is a close guess at a given level of probability about the confidence interval. It is denoted as a tiny percentage that is allowed for in the event of an error.

The amount of uncertainty associated with a survey result is referred to as the margin of error. It indicates how confident you can be in the outcome's accuracy. A smaller margin of error indicates that your survey is more precise. A confidence level is the probability that a survey will yield the same results if repeated.

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Write an absolute value equation which means t is 7 units
from zero.

Answers

The absolute value of t = |t| = 7

Can someone awnser all three questions please.

Answers

Answer:

Step-by-step explanation:

87

99

128

Joel sold her house for $545,450, which was 85% of the amount she paid for it.
Calculate the amount she paid for the property.
Round to the nearest cent

Answers

85% : 545,450, divide both sides by 85 to get 1% which should give a long decimal of 6,417.05882. If you round the 5 up to 6 making the value 6,417.06 then multiply it by 100 giving you 641, 706 dollars the amount Joel paid for the property

The photo added is the question.

Answers

By taking some products we will see that the total number of cupcakes ordered is 6 cupcakes.

How many cupcakes are ordered?

Here we want to see how many cupcakes this person is ordering. We know that orders 9 halves of a cupcake for the family, plus a quarter of a cupcake for each of the 6 friends.

The total number of cupcakes is given by the order for the family plus the order for the friends.

The order for the familiy is given by the product:

9*(1/2) = 9/2 = 4.5

That is 9 times 1/2 of a cupcake, so for the family the person orders 4.5 cupcakes.

For the friends the person orders 6 times 1/4 of a cupcake, so now we have the product:

6*(1/4) = 6/4 = 3/2 = 1.5

If we add these two numbers we get the total number of cupcakes:

4.5 + 1.5 = 6

The person ordered 6 cupcakes.

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The poet includes references to night and despair and then turns to day and hope. The poet uses only negative connotation throughout to make the reader feel his sadness. The poet uses repeating lines to show his thoughts are stuck on his loss of hope. The poet uses rhythm and rhyme scheme to reflect his childhood.