Find the value of x. Then find the measure of each labeled angle

Find The Value Of X. Then Find The Measure Of Each Labeled Angle

Answers

Answer 1

Answer:

x = 111°

x° = 111°

(x-42)° = 69°

Step-by-step explanation:

Any polygon with *n* number of sides has an interior angle sum of (n-2) × 180°.

Therefore this right trapezoid must have an interior angle sum of 360° because

a trapezoid has 4 sides → n = 4 →

(n-2) × 180° = (4-2) × 180° = 2 × 180° = 360°

Because we are given a 90 degree angle with a set of parallel sides, the angle above that must also be a right angles well so these will total 180°.

The last two angles are given by the two expressions x°, and (x-42)°. Because we know the sum of these angles which are 360° we can create the following equation from these angles and solve!

180° + 2x - 42° = 360°

(Group the constants / numbers without a variable ; associative property of addition)

180° - 42° + 2x = 360°

(Find the total value of the constants)

138° + 2x = 360°

(subtract 138° from both sides to isolate 2x on the left side ; subtraction property of equality)

138° - 138° + 2x = 360° - 138°

(Work out the value of the constants again)

2x = 222°

(divide by 2 on both sides to cancel out the coefficient of 2 in 2x to get x by itself ; division property of equality)

2x / 2 = 222° / 2

(Simplify the two expressions)

x = 111°

_____________________

To find the measure of the x expressions, just substitute x = 111° into the expressions and simplify to find the measure!

So:

x = 111° → x° = 111°

x = 111° → (x-42)° → (111 - 42)° = (69)° →

(x-42)° = 69°


Related Questions

Select the correct answer.
Which function has the same graph as x + y = 11?

A.
f(x) = -y + 11
B.
f(x) = -x + 11
C.
f(x) = x − 11
D.
f(x) = y − 11

Answers

Answer:

B. f(x) = -x + 11

Step-by-step explanation:

y = f(x)

therefore

x + y = 11 → x + f(x) = 11     |subtract x from both sides

x - x + f(x) = 11 - x

f(x) = -x + 11

The correct function is f(x) = 11 - x, has the same graph as x + y = 11, which corresponds to option B.

Therefore, the correct answer is:

B. f(x) = -x + 11

Here,

To find the function with the same graph as x + y = 11,

we need to isolate y in the equation to make it of the form y = f(x).

Given equation: x + y = 11

Subtract x from both sides of the equation:

y = 11 - x

Now, we have the equation in the form y = f(x).

so, we get, f(x) = -x + 11

i.e. The function which has the same graph as x + y = 11 is: f(x) = -x + 11

so, we have,

The correct function is f(x) = 11 - x, has the same graph as x + y = 11, which corresponds to option B.

Therefore, the correct answer is:

B. f(x) = -x + 11

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is 2.6666666667 a rational number

Answers

Answer:

No.

Step-by-step explanation:

I believe that the number above is irrational, because it repeats.

The person above you is wrong


The decimal is rational

In fact every repeating decimals are rational because you can turn them into fraction

Can you please mark brainleist

What is the solution of |x − 1| + 2 = 4? Enter your answers from least to greatest in the boxes

Answers

Answer:

down

Step-by-step explanation:

are there options

The link between the bases on a basketball field is 93 a scale drawing shows the distance between the Bases as 1 1/2 to 1 inch on the drawing equals how many feet

Answers

Answer:

Distance on drawing is 11.7 feet.

Step-by-step explanation:

A scale is a factor that can be used to either increase or decrease the size of an object.

Scale = [tex]\frac{distance on drawing}{original distance}[/tex]

Given that:

scale = [tex]\frac{3}{2}[/tex] to 1 inch, and the original distance = 93 inches

So,

[tex]\frac{3}{2}[/tex] : 1 = [tex]\frac{distance on drawing}{93}[/tex]

[tex]\frac{3}{2}[/tex] ÷ 1 = [tex]\frac{distance on drawing}{93}[/tex]

[tex]\frac{3}{2}[/tex] x [tex]\frac{1}{1}[/tex] = [tex]\frac{distance on drawing}{93}[/tex]

distance on drawing = [tex]\frac{3*93}{2}[/tex]

                               = [tex]\frac{279}{2}[/tex]

                               = 139.5

distance on drawing = 139.5 inches

Since 12 inches = 1 foot, then;

Distance on drawing in feet = [tex]\frac{139.5}{12}[/tex]

                                              = 11.625 feet

Distance on drawing is 11.7 feet.

the ratio of the measures of the angles of a triangle is 1:2:3 find the measure of each angle​

Answers

Answer: 30, 60, 90

Step-by-step explanation: 30 * (1:2:3)

30+60+90 =180

Sum of all angles of a triangle is 180

between 2002 and 2008, more than 26 cubic miles of groundwater disappeared. how much water has disappeared per year

Answers

Answer: Approximately 4.333 cubic miles

Explanation:

2008 - 2002 = 6 years have passed

In that time frame, we lost 26 cubic miles of ground water.

This means we lost about 26/6 = 4.333 cubic miles of ground water per year.

Jan's flower garden has only daffodils and tulips
in it. There are 15 dallodils and 12 tulips. What
is the ratio of the number of tulins to the total
number of flowers in Jan's garden?

Answers

12/27 tulips to total flowers

A snack bar at an outdoor fair is open from 10 A.M. To​ 5:30 P.M. And has 468 bottles of water for sale. Sales average 1.3 bottles of water per minute.

Answers

Answer:

the question is incomplete, so I looked for similar ones

the number of bottles of water remaining as a function of time:

f(x) = -78x + 468

1.3 bottles are sold per minute x 60 minutes per hour = 78 bottles per hour

x = number of hours

the slope is -78

the y intercept is 468

domain = 0 ≤ x ≤ 7.5 hours (from 10 AM to 5:30 PM)

range = 0 ≤ y ≤ 468 bottles

the snack will run out of bottles of water by 4 PM

78x = 468

x = 468 / 78 = 6 hours

if the snack wants to have enough bottles of water to serve all its customers, it will need:

78 x 7.5 hours = 585 bottles of water

Find the maximum height of the rocket and explain in at least threes sentence how you calculated your answer of y = - 16x ^ 2 + 480x

Answers

Answer:

The maximum height of the rocket is 3600

Step-by-step explanation:

The vertex of the quadratic equation y = ax² + bx + c is (h, k), where

h = [tex]\frac{-b}{2a}[/tex]k = y at x = hThe vertex (h, k) is a minimum point if a is positive  The vertex (h, k) is a maximum point if a is negative

The height of the rocket calculated using the equation y = -16x² + 480x, where y is the height and x is the time

To find the maximum height, do that

Find the x-coordinate of the vertex of the equation ⇒ hSubstitute the value of x in the equation by h to find the y-coordinate of the equation ⇒ kThe maximum height equal the value of k

Let us do that

∵ y = -16x² + 480x

a = -16 ⇒ the vertex is a maximum point

b = 480

→ Use the rule above to find h

∵ h = [tex]\frac{-b}{2a}[/tex]

∴ h = [tex]\frac{-480}{2(-16)}[/tex] = [tex]\frac{-480}{-32}[/tex]

h = 15

∵ k = y at x = h

→ Substitute x by 15 in the equatuion and y by k to find x

∵ k = -16(15)² + 480(15)

∴ k = -3600 + 7200

k = 3600

∵ The maximum height equal the value of k

The maximum height of the rocket is 3600


[tex] {x}^{ 2} + 4x - 21[/tex]
I'm trying to solve for x but I dont understand and need help ​

Answers

x= 3, -7 ( happy thanksgiving lovely! )

can you guys please help me with this and fast?
∛125?

Answers

Answer:

5

Step-by-step explanation:

125 breaks down into 5×5×5, which proves that it's 5.

Answer:

5 is the right answer

Step-by-step explanation:

In December of 2003, the average price for a gallon of regular gas in the United States was $1.50.

b. Is the relationship between number of gallons and cost proportional? Explain. ​

Answers

Answer:

yes

Step-by-step explanation:

because the cost stays the same and you would multiply blank gallons of gas by 1.50 every time so it is proportional. For example: it would be $1.50 to 1 gallon, $3 to 2 gallons, $4.50 to 3 gallons and would keep going like that, adding the same amount every time

A cook has 11.64 pints of olive oil before the dinner service. There were 5.2 pints of olive oil used during the dinner service. What amount of olive oil is left after the dinner service, with the correct number of significant digits?

A. 6.44 pints

B. 16.84 pints

C. 6.4 pints

D. 17 pints ​

Answers

Answer:

c

Step-by-step explanation:

put x^2+15x+56 and make it into a word problem!​

Answers

Kevin throws a ball from a point that is 56 ft above the ground. The height of the ball from the ground after “x” seconds is defined by the function h(x)= 40x + x^2

7 divided by c expression

Answers

Answer:

7/c

Step-by-step explanation:

7 divide by c is the same as 7/c

Point \blue{A}Astart color #6495ed, A, end color #6495ed is at \blue{(-2, -7)}(−2,−7)start color #6495ed, left parenthesis, minus, 2, comma, minus, 7, right parenthesis, end color #6495ed and point \purple{M}Mstart color #9d38bd, M, end color #9d38bd is at \purple{(2.5, -1.5)}(2.5,−1.5)start color #9d38bd, left parenthesis, 2, point, 5, comma, minus, 1, point, 5, right parenthesis, end color #9d38bd.

Point \purple{M}Mstart color #9d38bd, M, end color #9d38bd is the midpoint of point \blue{A}Astart color #6495ed, A, end color #6495ed and point \green{B}Bstart color #28ae7b, B, end color #28ae7b.

What are the coordinates of point \green{B}Bstart color #28ae7b, B, end color #28ae7b?

Answers

Answer:

(7,4)

Step-by-step explanation:

The midpoint formula is expressed as:

M(X, Y) = {(x2+x1)/2, (y2+y1)/2

Given the coordinates of the midpoint

M(2.5, -1.5)

Endpoint A(-2, -7)

Required

Endpoint B

From the formula;

X = x2+x1/2

Given

X = 2.5, x1 = -2

Get x2

2.5 = -2+x2/2

5 = -2+x2

x2 = 5+2

x2 = 7

Also

Y = y2+y1/2

-1.5 = -7+y2/2

-3 =-7+y2

y2 = -3+7

y2 = 4

Hence the coordinate of the endpoint B (x2,y2) is (7,4)

Answer:

(0,0.5)

Step-by-step explanation:

Trust me, it's from Khan Academy

factory has supplies expenses of $1135.78 a day, in addition to the wages above and makes $60,128.72 in one week, what is the factory's total profit or loss in one week?

Answers

Answer:

A= $54144B=  loss of $829.96 per week

Step-by-step explanation:

The question is incomplete, here is the detailed version:

A) A certain small factory employs 98 workers. Of these, 10 receive a wage of $150 per day and

the rest receive $85.50 per day. To the management, a week is equal to 6 working days. How much

does the factory pay out for each week?

B) If the same factory has supplies expenses of $1,135.78 a DAY in addition to the wages above

and makes $60,128.72 in a week, what is the factory’s total profit or loss in one week? .

A. The total pay per week

  =  (10(150)+88(85.5))*6

  =(1500+7524)*6

  =9024*6

  =$54144

B. The factory’s total profit or loss in one week.

 = 60,128.72-(54144+6(1135.78))

 =60128.72-(54144+6814.68)

 =60128.72-60958.68

 = -829.96

The factory will make a loss of $829.96 per week

Camila started reading a 500 page book. She read of the book in hour. What is the maximum number of pages can she read in hour if she reads at the same rate?
A.
10 pages
B.
15 pages
C.
40 pages
D.
20 pages

Answers

Answer:

Need more information

Step-by-step explanation:

I need to know what percentage/fraction of the book she read in 1 hour or any other information about the rate she is reading

PLEASE HELP ME!!
BEST ANSWER GETS BRAINLIEST

Which of the following could represent a diver’s position in relation to the surface of the water after diving into a pool? Select all that apply.
3 meters
-2 meters
-3.1 meters
1 and StartFraction 7 over 8 EndFractionmeters
Negative 2 and one-halfmeters

Answers

Answer:

-2, -3.1, -2.5

Step-by-step explanation:

Since the diver dived into the pool, they are below the surface (assuming it is an inground pool). So the correct answers will be the negative answers.

The numbers to represents a diver’s position in relation to the surface of the water after diving into a pool is;

-2 meter

-3.1 meter

Negative 2 and one-half meters

Given that;

A diver’s position is in the surface of the water diving into a pool.

We have to find number to represents a diver’s position in relation to the surface of the water after diving into a pool.

What is Negative number?

A number less than zero is called the negative number.

A diver’s position is in the surface of the water diving into a pool.

Since, Diving into a pool is represents negative number.

Hence, The number to represents a diver's position is in negative sign.

So, The numbers are;

⇒ -2 meter

⇒ -3.1 meter

⇒ Negative 2 and one-half meters.

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If a turkey weighs 16 pounds, how many calories does it have? (remember there are
170 calories in 4 ounces of turkey)

Answers

The answer is 680 calories

Calculate the perimeter for the given figure.
8 ft
8.5 14
.ft
10 11
A. 16.5 feet
B. 25.5 feet
C: 26,5 feet
D. 26.5 feet

Answers

Answer:

the answer is C and D because perimeter is the sum of all sides of a figure

The temperature in Anchorage, Alaska was -3°C in the afternoon. After the sun went down, the temperature dropped 6 degrees. Write an equation to represent the situation. What was the temperature after the sun went down? ( 3 points )

Answers

Answer:

-9

Step-by-step explanation:

-3 - 6

-3 + -6

-9

hope this helps!

The average of your 3 quiz grades is 17 points. Two of your quiz grades are 14 points and 19 points. Write and solve an equation to find the score of your third quiz.

Answers

Answer:

The equation required is [tex]17=\frac{14+19+Grade \ of \ Quiz \ 3}{3}[/tex] and Grade of quiz 3 is 18

Step-by-step explanation:

We are given

Average of 3 quiz grades = 17

Grade of quiz 1 = 14

Grade of quiz 2 = 19

We need to find Grade of quiz 3

The formula used will be: [tex]Average \ of \ 3 \ quiz \ grades = \frac{Grade \ of \ Quiz \ 1+Grade \ of \ Quiz \ 2+Grade \ of \ Quiz \ 3}{3}[/tex]

Using formula and finding the grade of quiz 3

[tex]Average \ of \ 3 \ quiz \ grades = \frac{Grade \ of \ Quiz \ 1+Grade \ of \ Quiz \ 2+Grade \ of \ Quiz \ 3}{3}\\17=\frac{14+19+Grade \ of \ Quiz \ 3}{3} \\17*3=14+19+Grade \ of \ Quiz \ 3\\51=33+Grade \ of \ Quiz \ 3\\Grade \ of \ Quiz \ 3=51-33\\Grade \ of \ Quiz \ 3=18[/tex]

So, The equation required is [tex]17=\frac{14+19+Grade \ of \ Quiz \ 3}{3}[/tex] and Grade of quiz 3 is 18

0.608 meter long. The average Chuckwalla is 0.395 meter long. How many times as long is the Gila Monster as the Chuckwalla, to the nearest hundredth?

Answers

Complete question :

The two largest lizards in the United States are the Gila monster and the Chuckuwalla. The average Gila monster is 0.608 meter long. The average Chuckwalla is 0.395 meter long. How many times as long is the Gila Monster as the Chuckwalla, to the nearest hundredth?

Answer:

1.54 times

Step-by-step explanation:

Given that:

Average length of Gila monster = 0.608 meter

Average length of chuckwalla = 0.395 meter

Number of times the Gila monster is than the Chuckuwalla :

Average Length of Gila monster / average Length of chuckwalla

= 0.608 meter / 0.395 meter

= 1.5392405 times

= 1.54 times

Please answer correctly !!!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!

Answers

Answer:

47°

Step-by-step explanation:

they are parallel to each other

Answer:

47

Step-by-step explanation:

47 and x are alternate interior angles

Help DUE IN 30 MINUTES ​

Answers

Here is the working
Hope it helps :)

i gotta another question!!
−6+x/8=1
Solving Two-Step
p.s the -6 + x is both on top of 8

Answers

Answer:

14

Step-by-step explanation:

-6+x=1

8

-6+x=1×8

x=8+6

x= 14 ans

1) (-8,-8), (8,4)
Find the slope of the line through each pair of points

Answers

2 duhhhhhhhhhhhhhhhhhhhhhhhhhhhhh

Answer: 3/4

Step-by-step explanation:

PLease help me find the unit rate for $140 for 18 ft

Answers

Answer:

Step-by-step explanation:

So,

$140 Dollars per 18 feet

Divide by 18 on both sides

140/18=18/18

140/18 is equal to 7 and 2/9

The answer is 7.77777778

Complete the point-slope equation of the line through (1,-1)(1,−1)left parenthesis, 1, comma, minus, 1, right parenthesis and (5,2)(5,2)left parenthesis, 5, comma, 2, right parenthesis. Use exact numbers. y-(-1)=y−(−1)=y, minus, left parenthesis, minus, 1, right parenthesis, equals

Answers

Answer:

y+1 = 3/4(x-1)

Step-by-step explanation:

Given the coordinates of a line, (1, -1) and (5, 2), we are to find the equation of the line in point-slope form.

The point slope form of the equation is generally expressed as;

y -y0 = m(x-x0)

m is the slope

(x0, y0) is the point

Get the slope first;

m = y2-y1/x2-x1

m = 2-(-1)/5-1

m = 3/4

Substitute any of the point sat=y (1, -1) and m = 3/4 into the point slope form of the equation

y - (-1) = 3/4 (x-1)

y+1 = 3/4(x-1)

Hence the required equation is y+1 = 3/4(x-1)

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