Answers
Answer: 30 in.
Step-by-step explanation:
So when you look at the right triangle closely, you can see that the c is the same length as the 30 in. That's why I think it is 30 in. (May be wrong)
Related Questions
Bert keeps honeybees on his farm. When he first started he used a six frame beehive that held 40 pounds of honey. now he uses a 30 frame beehive. It has the same ratios of frames to honey as a smaller beehive.
How much honey does Bert’s new beehive hold?
Answers
If now he uses a 30 frame beehive. It has the same ratios of frames to honey as a smaller beehive. The amount of honey that Bert’s new beehive hold is 200.
How to find the number of honey?Given data:
Number of frame beehive = 6
Pound of honey = 40
Current Frame beehive = 30
First step is to formulate an equation and then use the formulated equation to find the number of honey
40 × 30 ÷ 6
Hence,
40 × 5
= 200 honey
Therefore the number of honey is 200.
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Write a rule for g that represents the indicated transformations of the graph of f.
f(x)=2x5−x3+x2+4; reflection in the y-axis and a vertical stretch by a factor of 3, followed by a translation 1 unit down
Answers
The rule that represents the transformation is g(x) = -6x⁵ + 3x³ + 3x² + 11
How to determine the transformation of the function?The equation of the function is given as
f(x) = 2x⁵ - x³ + x² + 4
The sequence of transformations is given as follows:
Reflection across the y-axisVertically stretched by a factor of 3Translate down by 1 unitWhen the above transformations are combined, we have:
g(x) = 3f(-x) - 1
So, we have
3f(-x) - 1 = 3[2(-x)⁵ - (-x)³ + (-x)² + 4] - 1
This gives
3f(-x) - 1 = -6x⁵ + 3x³ + 3x² + 12 - 1
Expand
3f(-x) - 1 = -6x⁵ + 3x³ + 3x² + 11
So, we have
g(x) = -6x⁵ + 3x³ + 3x² + 11
Hence, the function is g(x) = -6x⁵ + 3x³ + 3x² + 11
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if Richard correctly answered 52 questions on an exam that had 65 questions , what percent did he get
Answers
The percentage that Richard get is 8%
How to determine the percentage he got?The statement can be interpreted as:
He answered 52 correctly from a total of 65 questions
From the above statement, we have the following parameters
Dividend = 52
Divisor = 65
The percentage is then calculated as
Percentage = Dividend/Divisor x 100%
Substitute the known values in the above equation
So, we have
Percentage = 52/65 x 100%
Evaluate the quotient
Percentage = 0.8x 100%
Evaluate the product
Percentage = 8%
Hence, the percentage is 8%
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Question 3(Multiple Choice Worth 6 points)
(02.07 MC)
What are the solutions of 2x² + 3x= -8?
Answers
The solutions to the equation [tex]2x^{2} +3x=-8\\[/tex] are [tex]x=\frac{-3+i\sqrt{55} }{4}[/tex] and [tex]x=\frac{-3-i\sqrt{55} }{4}[/tex] respectively.
What is a quadratic equation?
A second-degree algebraic equation is a quadratic equation in x.
[tex]ax^{2} +bx+c=0[/tex] is the quadratic equation in standard form, where a and b are the coefficients, x is the variable, and c is the constant term.
To find the root value of x, [tex]x= \frac{-b}{2a}[/tex] ± [tex]\frac{\sqrt{b^{2} -4ac} }{2a}[/tex]
Given, [tex]2x^{2} +3x=-8\\[/tex]
or, [tex]2x^{2} +3x+8=0[/tex]
Comparing the equation [tex]2x^{2} +3x+8=0[/tex] with the equation [tex]ax^{2} +bx+c=0[/tex] , we get
[tex]a=2, b=3, c=8[/tex]
Then, [tex]x= \frac{-3}{2*2}[/tex] ± [tex]\frac{\sqrt{3^{2} -4*2*8} }{2*2}[/tex]
or, [tex]x= \frac{-3}{4}[/tex] ± [tex]\frac{i\sqrt{55} }{4}[/tex]
Taking '+' sign, we get [tex]x=\frac{-3+i\sqrt{55} }{4}[/tex] and [tex]x=\frac{-3-i\sqrt{55} }{4}[/tex]
Therefore, the solutions of the given equation are [tex]x=\frac{-3+i\sqrt{55} }{4}[/tex] and [tex]x=\frac{-3-i\sqrt{55} }{4}[/tex].
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kara categorized her spending for this month into four categories: rent, food, fun, and other. the amounts she spent in each category are pictured here. rent $500 food $400 fun $300 other $600 [graphs generated by this script: initpicture(-5.5,5.5,-5.5,5.5);circle([0,0],5);line([0,0],[5,0]);line([0,0],[-.868,4.924]);text([1,2],'rent','right');text([1,1],'$500','right');line([0,0],[-5,0]);text([-1,2],'food','left');text([-1,1],'$400','left');line([0,0],[2.5,-4.33]);text([1,-1],'fun','right');text([1,-2],'$300','right');text([-1,-1],'other','left');text([-1,-2],'$600','left');] what percent of her total spending did she spend on fun? answer to the nearest whole percent. %
Answers
Answer: is 16.6%
Step-by-step explanation: Use the rule of three (mathematic).
Last year, James earned £2,100 per month.
This year, he's had a 6% increase in his monthly pay.
He worked 35 hours per week for 46 weeks in the year.
What is James' average pay per hour this year?
Give your answer to 2 dp.
Answers
James average pay per hour is $17.40
How to find James average pay per hour
information given in the problem are
Last year, James earned £2,100 per month
This year, he's had a 6% increase in his monthly pay
35 hours per week for 46 weeks in the year
The question is a percentage problem
6% increase a factor of 1.16
2100 * 1.16 = 2436
number of hours in a month
35 hours = 1 week
? hours = 4 weeks
? = 4 * 35
? = 140 hours in 4 weeks = 1 month
James average pay per hour is gotten form the calculation below
if 140 hours pays 2436 then1 hour will pay ?
140 = 2346
1 = ?
cross multiplying
? * 140 = 2436 * 1
? = 2436 / 140
? = $17.40
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a/4 - 5/6 = -1/2
URGENT!
ACTUALLY DO THE MATH
Get it right and ill make the first person the brainiest!
Answers
Answer:
a = [tex]\frac{4}{3}[/tex]
Step-by-step explanation:
[tex]\frac{a}{4}[/tex] - [tex]\frac{5}{6}[/tex] = - [tex]\frac{1}{2}[/tex]
multiply through by 12 ( the LCM of 4, 6 and 2 ) to clear the fractions
3a - 10 = - 6 ( add 10 to both sides )
3a = 4 ( divide both sides by 3 )
a = [tex]\frac{4}{3}[/tex]
Answer:
[tex]a=\frac{4}{3}[/tex]
Step-by-step explanation:
Move all terms not containing [tex]a[/tex] to the right side of the equation.
Add [tex]\frac{5}{6}[/tex] to both sides of the equation.
[tex]\frac{a}{4}=-\frac{1}{2} +\frac{5}{6}[/tex]
To write [tex]-\frac{1}{2}[/tex] as a fraction with a common denominator, multiply by [tex]\frac{3}{3}[/tex].
[tex]\frac{a}{4}=-\frac{1}{2}*\frac{3}{3} +\frac{5}{6}[/tex]
Write each expression with a common denominator of 6, by multiplying each by an appropriate factor of 1.
[tex]\frac{a}{4}=-\frac{3}{2*3} +\frac{5}{6}[/tex]
[tex]\frac{a}{4}=-\frac{3}{6} +\frac{5}{6}[/tex]
Combine the numerators over the common denominator.
[tex]\frac{a}{4}=\frac{-3+5}{6}[/tex]
Add [tex]-3[/tex] and [tex]5[/tex] .
[tex]\frac{a}{4}=\frac{2}{6}[/tex]
Cancel the common factor of [tex]2[/tex] and [tex]6[/tex].
Factor [tex]2[/tex] out of [tex]2[/tex].
[tex]\frac{a}{4}=\frac{2(1)}{6}[/tex]
[tex]\frac{a}{4}=\frac{2*1}{2*3}[/tex]
Cancel the common factor.
[tex]\frac{a}{4}=\frac{1}{3}[/tex]
Multiply both sides of the equation by [tex]4[/tex].
[tex]4\frac{a}{4} =4(\frac{1}{3})[/tex]
Simplify both sides of the equation.
Simplify the left side.
Cancel the common factor of [tex]4[/tex].
[tex]a=4(\frac{1}{3})[/tex]
Simplify the right side.
Combine [tex]4[/tex] and [tex]\frac{1}{3}[/tex]
[tex]a=\frac{4}{3}[/tex]
Which ordered pair gives a solution of the system of equations represented in
the graph below?
A. (-1.5, 2.5)
B. (-2.5, 1.5)
C. (2.5, -1.5)
D. (2.5,1.5)
Answers
Answer: The correct answer is D. (2.5,1.5)
Step-by-step explanation:
As noted in the graph, the lines intersect at the location where x=2.5 and y=1.5 in Quadrant I (both positive).
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. On a number line, point D is at -3, and point E is at 6. The point F lies on segment DE . The ratio of DF to FE is 2 : 3. Where does point F lie on the number line? Point F is at on the number line.
Answers
Using the section formula, point F lie on 3/5 in the number line.
In the given question,
On a number line, point D is at -3, and point E is at 6.
The point F lies on segment DE .
The ratio of DF to FE is 2 : 3.
We have to find where point F lie on the number line.
Since point D lies is at -3 at x axis so the point should be ( -3,0).
Point E lies is at 6 at x axis so the point should be ( 6,0).
F lies on segment DE. So let the point of F is (X, Y)
The ratio is 2:3.
Now firstly finding the value of X using section formula
X = [tex]\frac{mx_{2}+nx_{1}}{m+n}[/tex]
where [tex]x_{1}[/tex]= -3, [tex]x_{2}[/tex]= 6, m= 2 and n=3
Now putting the value
X = {2×6+(-3)3}/(2+3)
Simplifying
X = (12-9)/5
X = 3/5
Now firstly finding the value of Y using section formula
Y = [tex]\frac{my_{2}+ny_{1}}{m+n}[/tex]
where [tex]y_{1}[/tex]= 0, [tex]y_{2}[/tex]= 0, m= 2 and n=3
Now putting the value
Y = (2×0+3×0}/(2+3)
Y = 0/5
Y = 0
Hence, point F lie on 3/5 in the number line.
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for a questionnaire survey of employees of a particular organisation to investigate a range of aspects of their job satisfaction, a researcher invites all 1000 employees to participate and aims for a sample of 200 men and 200 women. what method of sampling is this?
Answers
This is an example of stratified random sampling as the population is divided into two groups males and females and 200 samples are selected from each group.
Given that,
A researcher asks all 1000 employees to engage in a questionnaire survey to look at various areas of employee job satisfaction with the goal of selecting a sample of 200 males and 200 women.
A crucial element of the sampling method known as stratified random sampling is the division of a population into smaller subgroups known as strata
Therefore, the population is separated into two categories, males and females, and 200 samples are chosen from each group in this stratified random sampling example.
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Write The recursive formula for the sequence 18,22,26,30?
Answers
The recursive formula is an = a(n-1) +4. A recursive formula is one that defines each term in a sequence by using the term before it (s)
What is recursive formula?A recursive formula is one that defines each term in a sequence by using the term before it (s). The following parameters are defined by the recursive formulas: The sequence's first term. The pattern rule for obtaining any term from its preceding term. A recursive formula is composed of two parts: a statement of the first term and a statement of the formula that connects successive terms. The sequence is as follows: 10, 15, 20, 25, 30, 35,... Look for a recursive formula. This is an arithmetic sequence (the same number, 5, is added to each term to get to the next term).The sequence's first term
The pattern rule for obtaining any term from its preceding term
Recursive Arithmetic Sequence Formula
To find the nth term of an arithmetic sequence, use the recursive formula:
an = an-1 + d for n ≥ 2
Where
an is the nth term of a A.P.
d is the common difference.
Given:
14, 18, 22, 26, 30, …
a1 = 14
and, d = 18-14
d = 4
a2 = a1 + 4
a2 = 14 + 4 = 18
Similarly, going this way
an = a(n-1) +4
Hence, the recursive formula is an = a(n-1) +4
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Write 95% as a fraction or mixed number in simplest form.
Answers
How much of a radioactive kind of zinc will be left after 2 hours if the half-life is 1 hour and
you start with 259,288 grams?
grams
Answers
Answer:
64822
Step-by-step explanation:
Half-life model:
[tex]P=P_o* \left(\frac{1}{2}\right)^{\frac{t}{D}}[/tex]
[tex]P_o[/tex] is the initial value, D is the time taken for the quantity to reduce half-life and t is the given time period.
[tex]\sf P_o = 259,288 \ grams\\\\D = 1 \ hour\\\\t = 2 \ hours[/tex]
[tex]P = 259,288*(\frac{1}{2})^\frac{2}{1}\\\\P = 259,288*(\frac{1}{2})^2\\\\P = 259,288*\frac{1}{4}\\\\P = 64822[/tex]
Solve using proportions: If a 4-pound roast takes 140 minutes to cook, how long should a 5-pound roast take to cook?
Answers
Step-by-step explanation:
[tex]4pound \: roast \: = 140 \: minutes \\ 5 \: pounds \: roast \: = {?} \\ then cross multiplication \\ 140 \times 5 \: divide \: by \: 4 \\ 700 \div 4 = 175 \\ 5 \: pound \: roast \: take \: 175 \: minutes[/tex]
in the figure, h II o find the value of x and y
Answers
Answer:
y = 119
30 =x
Step-by-step explanation:
61 and y are same side interior angles and they add to 180
61+y = 180
y = 180-61
y = 119
y and 6x-61 are vertical angles and they are equal
y = 6x-61
119 = 6x-61
Add 61 to each side
119 + 61 = 6x
180 = 6x
Divide each side by 6
180/6 = x
30 =x
Answer:
y = 119°
x = 30°
Step-by-step explanation:
We know that if two lines are parallel, the co - interior angles are added up to 180°°.
Accordingly,
y + 61 = 180
y = 180 - 61
y = 119°
Also, we know that, vertically opposite angles are equal to each other.
y = 6x - 61
119 = 6x - 61
Now, we have to make x the subject.
For that, first, add 61 for both sides.
119 + 61 = 6x
180 = 6x
Now, divide both sides by 6.
30° = x
A satellite dish has the shape of a parabola when viewed from the side. the dish is 48 inches wide and 36 inches deep. how far is the receiver from the bottom of the dish if the receiver is placed at the focus?
Answers
If the receiver is placed at the focus, it is 4 inches from the bottom of the dish. The result is obtained by using the equation of parabola with the vertex is at (0,0).
What is the equation of a parabola?With the vertex at (0,0), the equation of a parabola can be expressed as
x² = 4ay
Where
x = half of the diameter of parabola a = the y-axis of the focus of parabolay = the depth of parabolaGiven
Diameter of the dish = 48 inchesy = 36 inchesHow far is the receiver from the bottom of the dish if it is placed at the focus?
Suppose that the vertex is at (0,0).
x = 1/2 × diameter
x = 1/2 × 48
x = 24
Now, we got two points (-24, 36) and (24,36). See the picture in the attachment!
By using the x and y value, the value of a is
x² = 4ay
24² = 4a(36)
576 = 144a
a = 576/144
a = 4 inches
Hence, the receiver is placed at 4 inches from the bottom of the dish.
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correct answer gets brainliest!
Answers
Answer:
x = 14
Step-by-step explanation:
the inscribed angle JKL is half the measure of its intercepted arc, that is
83 = [tex]\frac{1}{2}[/tex] arc JL = [tex]\frac{1}{2}[/tex](9x + 40) ← multiply both sides by 2 to clear the fraction
166 = 9x + 40 ( subtract 40 from both sides )
126 = 9x ( divide both sides by 9 )
14 = x
A carpenter needs to build a box to hold his wood screws. He has a sheet of wood that measures 18 inches by 12 inches. He then cuts equal squares from each corner. (a) Write an expression for the length, width, and height for the open box. (b) Write a function for the volume (use factored form).
Answers
The expressions for the length, width, and height are 18 - 2x, 12 - 2x, and x while the volume function is V = (12 - 2x)(18 - 2x)x
(a) How to determine the expression for the length, width, and heightFrom the question, we have the following parameters:
Dimension of sheet = 8 inches by 12 inches
Also from the question, we understand that:
He cuts equal squares from each corner.
The cut-out length from the sheet would represent the height of the box
Represent this cut-out length with x
So, we have
Height = x
The width and the length are then represented as
Width = Initial width - 2x
Length = Initial length - 2x
So, we have
Width = 12 - 2x
Length = 18 - 2x
(b) Write a function for the volumeThe volume of a box is the product of its dimensions
In this case, we have
Width = 12 - 2x
Length = 18 - 2x
Height = x
So, we have
Volume = Width * Length * Height
Substitute the known values in the above equation So, we have the following equation
V = (12 - 2x)(18 - 2x)x
So, the volume function is V = (12 - 2x)(18 - 2x)x
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small airplane flew 104 miles in 50 minutes. At this rate, how many miles can it fly in 3 hours?
Answers
An airplane can fly 374.4 miles in 3 hours.
A small airplane flew 104 miles in 50 minutes.
So, the rate would be,
rate = distance / time
rate = 104/50
rate = 2.08 miles/minute
We need to find the distance the airplane can flay in 3 hours.
3 hours = 180 minutes
t = 180 minutes
r = d/t
2.08 = d/180
d = 2.08 * 180
d = 374.4 miles
Therefore, an airplane can fly 374.4 miles in 3 hours.
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Which statement is true?
O
The letter has rotation symmetry only.
0
The letter has both reflection and rotation symmetry.
The letter has neither reflection nor rotation symmetry,
The letter has reflection symmetry only.
Answers
The letter has reflection symmetry only. When one half of an object or form reflects the other half, this is known as reflection symmetry. The line where you cut is referred to as the line of symmetry, generating the two equal portions, and the two halves are reflections of one another.
What is reflection symmetry?Mirror symmetry, line symmetry, reflection symmetry, and mirror-image symmetry are all terms used in mathematics to describe symmetry with respect to a reflection. To put it another way, a figure with reflectional symmetry is unaffected by reflection. There is a symmetry line or axis in 2D and a symmetry plane in 3D.
A sort of symmetry that pertains to reflections is called reflection symmetry. Line symmetry and mirror symmetry are other names for reflection symmetry. If a figure has at least one line dividing it into two halves, one half is said to be the mirror image of the other half.
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Hi I don't understand this can you please help me. Maura multiply 1. 8 by 2. 4 and write the product as 0. 432. Tom says that her product is incorrect. How could Tom know this without multiplying a two numbers
Answers
The correct multiplication of 1.8 and 2.4 will be 4.32.The product 0.432 calculated by Maura was incorrect.
Define the term multiplication of number?One of the four fundamental mathematical operations, along with addition, subtraction, and division, is multiplication. Multiply in mathematics refers to the continual addition of sets of identical size. The symbols for multiplication are cross (×), asterisk (*), and dot (.). You seem to utilize the cross a lot when you write in your notebooks.For the given question-
Maura divide 1. 8 by 2. 4 and enter 0. 432 as the result.
Tom claims her product is unreliable.
Tom is able to make this deduction without the need for multiplication because the value 0.432 is less than even 1.8, which is not conceivable.
Thus,when multiplying by a number bigger than 1, the result will always be greater than the starting numbers.
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Please answer <3
A line passes through the points (-5,10) and (0,-10). What is its equation in slope-intercept form?
y=__x+___
Answers
Answer:
The equation for the slope-intercept form is y = 4x - 10
Hope this helps!
Step-by-step explanation:
Slope = [tex]\frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex] Equation = y = mx + b
The two points given are ( -5, 10 ) and ( 0, -10 ).
Putting in the values gives you [tex]\frac{-10-10}{0-(-5)} = \frac{-20}{5} =-4[/tex].
y = 4x + b, to find b, insert one of the points:
-10 = 4(0) + b -> -10 = 0 + b, b = -10
Putting it all together gives you y = 4x - 10
Britney can do a job in 12 hours. if she works with jimmy, together they can get the job done in eight hours. how long would it take jimmy to do the job alone?
Answers
Jimmy will take 24 hours to do the given job alone.
What is the teamwork equation for problem solving?
Problems with teamwork are resolved using this technique. If the first person completes a task in 'A' units of time and a second person completes a task in 'B' units of time, they can complete a task in 'T' units of time together (total).
The teamwork equation can be applied, that is: (1/A) + (1/B) = (1/T)
Given, time taken by Britney to do the job individually = B = 12 hours
Also, time taken by Britney and Jimmy to do the job together = A = 8 hours
Let the time taken by Jimmy to do the job individually = A hours
Thus, using the equation established in the literature above and substituting the given values, we have:
(1/A) + (1/B) = (1/T) ⇒ (1/A) + (1/12) = 1/8 ⇒ 1/A = (1/8) - (1/12)
⇒ 1/A = (3/24) - (2/24) ⇒ 1/A = 1/24 ⇒ A = 24
Thus, Jimmy will take 24 hours to do the given job alone.
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Find the x- and y-intercepts of the graph of 4x - 9y = 20. State each answer as an
integer or an improper fraction in simplest form.
Answers
Calculation
Find the dependent variable by itself: [tex]y= \frac{4x}{9} -\frac{20}{9}[/tex]
Find the function's x-intercept: x= 5
Find the dependent variable by itself: [tex]y= \frac{4x}{9} -\frac{20}{9}[/tex]
Find the function's y-intercept: y = [tex]-\frac{20}{9}[/tex]
The chart for : 4x-9y = 20
see the attachment
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The x- and y-intercepts of the graph 4x - 9y = 20 In the simplest form, state each answer as an integer or an improper fraction. x = 20 + 9y /4
What is meant by fraction?A fraction is a portion of a whole. In arithmetic, the number is expressed as a quotient, which is the numerator divided by the denominator. In a simple fraction, both are integers.A complex fraction has a fraction in either the numerator or denominator. In a proper fraction, the top number is less than the lowest common.A fraction pretty much tells us how many parts of a whole we have. A fraction is identified by the slash that is written between the two numbers. Designers have a top number, the quaternion, and a bottom number, the denominator. For instance, 1/2 is a fraction.Given
x, 4x - 9y = 20
x = 20 + 9 /4 y
Steps
4x - 9y = 20
Add 9 y to both sides
4x - 9y + 9y = 20 + 9y
Simplify
4x = 20 + 9y
Divide both sides by 4
4x/4 = 20/4 + 9y/4
Simplify
x = 20 + 9y /4
Hence, The x- and y-intercepts of the graph 4x - 9y = 20 In the simplest form, state each answer as an integer or an improper fraction.
x = 20 + 9y /4
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questions 1-4: the number of classes (x) a student takes in a given semester follows the following probability distribution: x 0 1 2 3 4 5 p(x) 0.4 0.25 0.15 0.08 0.02 ??? what is the expected number of classes a student will take in a given semester?
Answers
The expected number of classes a student will take in a given semester is 1.89
How calculate the expected value of x?Expected value is defined as the predicted value of a variable, calculated as the sum of all possible values each multiplied by the probability of its occurrence.
Given :
x| 0 1 2 3 45
p| 0.4 0.25 0.15 0.08 0.02
where x = number of classes
p = probability
The expected value of x, E(x) =Σ xp
E(x) = (0×0.4) + (1×0.25) + (2×0.25) + (3×0.08) + (45×0.02)
E(x) = 0 + 0.25 + 0.5 + 0.24 + 0.9
E(x) = 1.89
Therefore, the expected number is 1.89.
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PLEASE HELP ASAP I NEED TO GET THIS DONE!!
Answers
Answer:
B and D
Step-by-step explanation:
A is wrong because x has a negative exponent
C is wrong because x is a denominator
A baseball is thrown from the pitcher's
mound at 40 m/s. It takes 0.46 seconds for
the ball to reach home plate. What is the
distance between the mound and home
plate?
Answers
Answer:
Step-by-step explanation:
Velocity = distance / time
In this problem, we need to calculate for distance, knowing time and velocity.
multiply time on both sides, on the right side the time will cancel out leaving time alone.
velocity * time = distance
40m/s * 0.46s = distance
distance = 18.4 meters
Hope it helped!
There are 39 students in the bike club.
All but 8 of them participated in a race.
What is the total cost if each student who entered the race paid $6?
Answers
Answer:
Total Cost = $186
Step-by-step explanation:
All but 8 means that All of them participated except for 8 of them
Since there is 39 Students in the Club
Then the Number of Students participated = 39 - 8 = 31 Students
Total Cost = (Cost per Student ) * ( Number of Students )
=$6 * 31 = $186
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What does x equal to??
Answers
x is equal to 125° in the triangle
How to determine the value x in the triangle?The figure given here is a triangle. And we know that the sum of the angles in a triangle is 180°. So we can apply this concept by writing the expression below:
x + 25° + 30° = 180°
x + 55° = 180°
x = 180° - 55°
x = 125°
Therefore, the value of x is 125°. So x is equal to 125°
Learn more about angles in a triangle on:
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Find the distance between points P(8, 2) and Q(3, 8) to the nearest tenth.
Answers
[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ P(\stackrel{x_1}{8}~,~\stackrel{y_1}{2})\qquad Q(\stackrel{x_2}{3}~,~\stackrel{y_2}{8})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ PQ=\sqrt{(~~3 - 8~~)^2 + (~~8 - 2~~)^2} \implies PQ=\sqrt{( -5 )^2 + ( 6 )^2} \\\\\\ PQ=\sqrt{ 25 + 36 } \implies PQ=\sqrt{ 61 }\implies PQ\approx 7.8[/tex]
