what's the answer to this math picture please?

What's The Answer To This Math Picture Please?

Answers

Answer 1

Answer:

m<BGC = 145°

Step-by-step explanation:

<AGC and <DGB are vertical angles. Vertical angles are congruent. Therefore:

m<AGC = m<DGB

[tex] 3x + 20 = 8x - 5 [/tex] (substitution)

Collect like terms

[tex] 3x - 8x = -20 - 5 [/tex]

[tex] -5x = -25 [/tex]

Divide both sides by -5

x = 5

m<BGC = 180 - (m<AGC) (linear pair)

m<BGC = 180 - (3x + 20)

Plug in the value of x

m<BGC = 180 - (3(5) + 20) = 180 - 35

m<BGC = 145°


Related Questions


If the perimeter of ABC = 9.7cm,
E is the midpoint of AC, and DE||BC, find the length of DE.

Answers

Answer:

3.2333 (repeated)

3.23 (rounded

Step-by-step explanation:

ADE is 1/3 of ABC so we just divide the perimeter by 3

9.7cm / 3 = 3.2333

This rounds to: 3.23

Which linear equations have an infinite number of solutions? Check all that apply.


(x – 3\7) = 2\3 (3\2x – 9\14 )

8(x + 2) = 5x – 14

12.3x – 18 = 3(–6 + 4.1x)

1\2(6x + 10) = 7(3\7x – 2)

4.2x – 3.5 = 2.1 (5x + 8)

Answers

Answer:

a) (x – 3\7) = 2\3 (3\2x – 9\14 )

c) 12.3x – 18 = 3(–6 + 4.1x)

Step-by-step explanation:

A linear equation can be said to have an infinite number of solutions when the number of the right hand side is the same at the number on the left hand side of the equation.

For example:

2 = 2 or x = x or 0 = 0

Solving the question above:

Which linear equations have an infinite number of solutions? Check all that apply.

a) (x – 3\7) = 2\3 (3\2x – 9\14 )

x - 3/7 = 6x/6 - 18/42

x - 3/7 = x - 3/7

Collect like terms

x - x = -3/7 + 3/7

0 = 0

The linear equation in option a has an infinite number of solutions

b) 8(x + 2) = 5x – 14

8x + 16 = 5x - 14

Collect like terms

8x - 5x = -14 - 16

3x = -30

x = -30/3

x = -10.

The linear equation in Option b has a true solution.

c) 12.3x – 18 = 3(–6 + 4.1x)

12.3x - 18 = -18 + 12.3x

Collect like terms

12.3x - 12.3x = -18 + 18

0 = 0

The linear equation in Option c has infinite number of solutions

d) 1\2(6x + 10) = 7(3\7x – 2)

6x/2 + 5 = 21/7x - 14

3x + 5 = 3x - 14

Collect like terms

3x - 3x = -14 - 5

0 = -19

The linear equation Option d has no solution

e) 4.2x – 3.5 = 2.1 (5x + 8)

4.2x - 3.5 = 10.5x + 16.8

Collect like terms

4.2x - 10.5x = 16.8 + 3.5

-6.3x = 20.3

x = -20.3/6.3

x = -3.22

Hence, the linear equation in Option e has a true solution

Therefore, the linear equations have an infinite number of solutions are:

a) (x – 3\7) = 2\3 (3\2x – 9\14 )

c) 12.3x – 18 = 3(–6 + 4.1x)

Answer(x – 3\7) = 2\3 (3\2x – 9\14 ) and (12.3x – 18 = 3(–6 + 4.1x)

Step-by-step explanation:

For a party, Samantha bought eight half gallon bottles of soda. About how many cups of soda did Samantha buy?
Help please!!!! thank you sm!!

Answers

Answer:

64 cups

Step-by-step explanation:

64 cups! A half gallon equals 8 cups. 8 cups x 8 half gallons = 64 :)

Determine the coordinates of the point shown



•(1.5 , - 2.5)
•(-2.5 , - 1.5)
•(-5, 3)
•(-2, 1)​

Answers

Answer:

There the coordinates of the point are:

(x, y) = (-2.5, 1.5)

Therefore, option 'b' is true.

Step-by-step explanation:

From the coordinate plane, it is clear that the point is located in the 2nd quadrant.

We know that the second quadrant has negative x values and positive y values.

2nd quadrant → (-, +)

The point is clearly located at the location at x=-2.5 and y=1.5

There the coordinates of the point are:

(x, y) = (-2.5, 1.5)

Therefore, option 'b' is true.

Question is attached PLS HELP!​

Answers

Answer:

B

Step-by-step explanation:

A building 350 feet tall casts a shadow 1/2 mile long. How long is the shadow of a person five feet tall?

Answers

Answer:

37.7 feet

Step-by-step explanation:

1/2 mile is 2,640.. which you would do 2,640 ÷ 350 and it will give you some number... now with that number you would multiply that with 5.

The figure below shows the first 3 steps in the construction of a Sierpinski Triangle.
1 equilateral 3 congruent 9 congruent
triangle
equilateral equilateral
triangles
triangles
Which property explains why each of the 9 small triangles in step 3 is similar to the large triangle in step 1?
A. The side-side property of congruent triangles can be used because all the sides of an equilateral triangle are similar.
B. The side-side property of similar triangles can be used because all the sides of an equilateral triangle are congruent.
C. The angle-angle property of congruent triangles can be used because all the angles of an equilateral triangle are similar.
D. The angle-angle property of similar triangles can be used because all the angles of an equilateral triangle are congruent.
ок

Answers

I think the answer is C

Answer:

c

Step-by-step explanation:

who good at math? , cuz i need help .

Answers

Answer:

what kind of math?

Step-by-step explanation:

Answer:

It depends your grade, but I might be able to help.

Step-by-step explanation:

What type of math?

Hiker's Elevation 3,000 Hiking The scatter plot shows a hiker's elevation above sea level during a hike from the base to the top of a mountain. The equation of a trend line for the hiker's elevation is y=9.84x + 651, where x represents the number of minutes and y represents the hiker's elevation in feet. Use the equation of the trend line to estimate the hiker's elevation after 140 minutes. ​

Answers

Answer:

2023

Step-by-step explanation:

The slope of the line whose equation is 6x = 4y - 7 is
A. 04
B. 2/3
C. 3/2​

Answers

Put it in slope intercept y=mx+b
4y = 6x + 7
Divide by 4
y = 6/4x + 7
It would be C. 3/2
the answer is C; 3/2

Find the midpoint of segment AB if A(3, 2) and B(-1,4) Select one: O b (2, 1) O b. (1,3) O c. (2,6) O d. (2,3)​

Answers

Answer:

B (1, 3)

Step-by-step explanation:

midpoint formula is m=(x1 + x2 / 2), (y1 + y2 / 2)

So the xs are 3 and -1 add them to get 2, divided by 2 is 1.

The ys are 2 and 4, which equal 6, divided by 2 is 3.

So (1, 3)

Please help! 30 points!

Use the numbers:
6 3 5 4 2 1
in that order to make 100. Use brackets and the four operations.​

Answers

Answer:

(6*3+5+2)*4/1 or (6*3+4-2)*5/1

Step-by-step explanation:

Have a great day :)

Answer:

((6 x 3 + 4/2) x 5 ) / 1

How much times longer is Jupiter’s orbit than earth’s orbit?

Answers

Answer:

Jupiter's orbit is 5 times longer than earths

Step-by-step explanation:

Evaluate each value expression for the given value of x: 22-x/5 , x=20

Answers

Answer:

18

Step-by-step explanation:

or

for taking sq root:

x=√10 or x=−√10

the rental is 50 dollars and $15 per minute. If mia has $155, how many minutes can she rent the game set. Use an equation to find the answer

Answers

Answer:

Mia can rent the game set for 7 minutes

Step-by-step explanation:

(50)+(15×7)

What is the correct percent for a quiz score of 25 points out of 36?

Answers

Answer:

the answer is 69%

it's just 25/36=0.6944444444.....

then multiply by a hundred= 69.44444444...=69%

hope this helps and feel free to give brainiest

The average price of a movie ticket in the United States from 1980 to 2000 can be modeled by the expression 2.75 + 0.10x, where x is the number of years since 1980.Which parts of the expression correspond to the cost of movie tickets in 1980 and the increase in price per year? Choose the correct value for each part below. Part A: The cost of movie tickets in 1980 is represented by

Answers

Answer:

[tex]2.75,\ 0.1x[/tex]  

[tex]2.75[/tex]

Step-by-step explanation:

In the expression [tex]2.75+0.1x[/tex] the number [tex]2.75[/tex] represents the cost of a movie ticket in 1980 and [tex]x[/tex] represents the years after 1980. So increase per year is represented by [tex]0.1x[/tex].

If the cost of the ticket in 1982 is needed that means 2 years have passed after 1980, [tex]x[/tex] will be [tex]2[/tex].

In 1980, zero years have passed so, [tex]x=0[/tex]

Therefore the cost of movie tickets is represented by [tex]2.75+0.1\times 0=2.75[/tex]

4. Which of the following does NOT represent a constant rate of change?
F. (0,0), (9,1), (18,2), (27,3)
G. (0,0), (2,10), (5,13), (11,19)
H. (0,0), (3,2), (9,6), (15,10)
J. (0.0), (4,10), (8,20), (12.30)

Answers

Answer:

G

Step-by-step explanation:

The answer choice is G.

Consider 8x2 - 48x = -104.

Write the equation so that

a = 1: x2 + x =

Answers

x= 6+√-16/2

or

x= 6-√-16/2

Answer:

-6 and -13

Step-by-step explanation:

Divide both sides by 8

-48/8

and

-104/8

A group of 105 visitors goes on the snow vehicle tour. Each vehicle can carry 9 visitors. How many snow vehicles will be needed for all the visitors?

Answers

Answer:

12 because you have to divide 105 by 9 2inch is 11.6666666... so you round up and get 12

I need Help with this Question Plzz!!!

Answers

What’s the question

Find QR
QR + RS = QS
18 + x + 2x + 24 = 17

Answers

Answer:

QR = 10

Step-by-step explanation:

QR + RS = QS , substitute values

18 + x + 2x + 23 = 17 , that is

3x + 41 = 17 ( subtract 41 from both sides )

3x = - 24 ( divide both sides by 3 )

x = - 8

Thus

QR = 18 + x = 18 - 8 = 10

In a graph, x represents the number of months since a business opened, and y represents the total amount of money the business has earned. The following three points are from the graph: (2, 1990) (5, 4225) (9, 7205) Find the slope and y-intercept. Explain what each represents.

Answers

Sample answer: the slope of this scenario is 745. The slope represents the profit made each month. The y intercept is 500. The y intercept represents the amount of money the company started with.

Just completed the assignment on Applying Linear Functions- lesson 2.4

Answer:

The slope is 745. The slope represents how much money is made each month. The y intercept is how much money the company had when it first started. The y intercept is 500.

Step-by-step explanation:

This is my answer: use it if you want.

Stay safe and have a wonderful day/night!!!!!

Hope this helped!! :)

hi amariharrisdagoat :D

Answers

Answer:

heyyy even though you are not talking to me

BAHBAHA

Step-by-step explanation:

HELP ME PLEASE IT'S DO RIGHT NOW***

Answers

Answer:

[tex]x^{2} -121[/tex] goes with (x+11)(x-11)

[tex]x^{2} +121[/tex] does not have a solution/answer

[tex]16x^{2} -25[/tex] goes with (4x+5)(4x-5)

[tex]25x^{2} -16[/tex] goes with (5x+4)(5x-4)

[tex]x^{2} -50[/tex] does not have a solution/answer

[tex]x^{4}-64[/tex] goes with [tex](x^{2} +8) (x^{2} -8)[/tex]

[tex]x^{2} -144[/tex] goes with (x+12) (x-12)

Step-by-step explanation:

its factoring

Look at terms if it has a perfect squared number or a negative sign. Hope this helps

Giuliana has 22 quarters and dollar coins worth a total of $10.75.

Which equation can be used to find d, the number of dollar coins Giuliana has?

d – 22 + 0.25d = 10.75
0.25d + 22 – d = 10.75
0.25(22 – d) + d = 10.75
d + 0.25(d – 22) = 10.75

Answers

Answer:

0.25(22-d)+d=10.75

Step-by-step explanation:

None of the other equations make sense given the information

When x = 3, y = 4. What is y when x = 12?
Group of answer choices

A)3

B)4

C)12

D)16

Answers

Answer:

A)3

Step-by-step explanation:

if im wrong tell me and i will do it again

HOPE THIS HELPS:::)))

HELP ASAP! Relations and Functions!!! Giving brainliest!!!

Answers

Answer:

Step-by-step explanation:

Neither are a function because they do not pass the vertical line test.

You are given a various set of values: xbar = 12 ybar = 16 r = .46 Sy = 18 Sx = 6 Find a and b, then write them as an equation for a line. b = a = yhat =

Answers

Answer:

Slope, b = 1.38 ; intercept, a = - 0.56 ;

Y = - 0.56 + 1.38x

Step-by-step explanation:

Given that :

xbar = 12

ybar = 16

r = .46

Sy = 18

Sx = 6

The equation of a line can be expressed as :

Y = a + bx

Where ;

a = intercept ; b = slope ; x = independent variable ; y = dependent variable

The slope b ; can be obtained using the relation :

b = r(Sy / Sx)

= 0.46(18/6)

= 0.46(3)

= 1.38

The intercept a, can be obtained using the relation :

Ybar - b(Xbar)

16 - 1.38(12)

16 - 16.56

a = - 0.56

Hence ;

Slope, b = 1.38 ; intercept, a = - 0.56

Th equation of the line will be :

Y = - 0.56 + 1.38x

What is the weight of 2 apples? *
.12
.24
16.67
8.33

Answers

Answer:

0.24

Step-by-step explanation:

Have a wonderful day <3

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