Which graph can be used to find the solution to the system of equations below?
2x + y = -4
-3y = 2x + 12

Given:

AB= 20, BV=12, VA=14 and SR is a mid segment.

To find:

The lengths of SR and AR.

Solution:

SR is a mid segment. So, SR is parallel to the non-included side BV and the length of SR is half of BV.

[tex]SR=\dfrac{1}{2}BV[/tex]

[tex]SR=\dfrac{1}{2}(12)[/tex]

[tex]SR=6[/tex]

SR is a mid segment. So, it divides the included sides in two equal parts. It means R is the midpoint of VA.

[tex]AR=\dfrac{1}{2}VA[/tex]

[tex]AR=\dfrac{1}{2}(14)[/tex]

[tex]AR=7[/tex]

Therefore, the measure of SR is 6 units and the measure of AR is 7 units.

Answer:

a² + b² = 17

a^4 + b^4 = 257

Step-by-step explanation:

The only solutions for a+b=5 and ab =4 is:

4 and 1 but we don't know which is which. In this case it doesn't matter though.

a² + b² = 16 + 1 = 17

a^4 + b^4 = 256 + 1 = 257

​

Answer:

34

Step-by-step explanation:

Answer:

So it's either 12.1

Step-by-step explanation:

So you must multiply them to get the answer cause it tells how much fiction books are in there, and It 55% of the total so to find the total you must multiply them.  

But if you have a percent you have to make that into a decimal. So 55% will be 55/100 so that's .55, so all you have to do now is multiply them.

Answer: 40 books

Step-by-step explanation:

First divide 22/55 then multiply the product by 100.

22/55= 0.4

0.4*100=40

Hope this helps u Emilee :)

Answer:

m = 3/5

Step-by-step explanation:

use the formula so m = -5 - -2 / 5 - 10 , so m = -5+2 / -5

m = -3/-5 so m = 3/5

Answer:

9.37 km

Step-by-step explanation:

Total distance = length travelled in the bus + length travelled in the autorickshaw

7.87 km + 1.5km = 9.37 km

Answer:

3

Step-by-step explanation:

3x+1=10 subtract 1 to both sides

3x+1-1=10-1

3x=9 divide both sides by three

3x/3=9/3

x=3

Answer: 20

Step-by-step explanation:

Answer:

53

Step-by-step explanation:

when c=6 and d=5 we want to substitute the variables with the numbers in the equation so we'll have

(5) + 8(6)

after evaluating we come up with the answer 53

Answer: i think its 17

Step-by-step explanation:

Answer:

Step-by-step explanation:

WE KNOW THAT THE SUM OF THE ANGLES IN A TRIANGLE=180

9g+2g+7g=180

18g=180

g=180/18

g=10

Answer:

x=4 or x=2

Step-by-step explanation:

Step-by-step explanation:

[tex]6p \geqslant - 42 \\ p \geqslant - 7[/tex]

Answer:

a) 15.28 hours

Step-by-step explanation:

535/-35

≈-15.28

but time is always positive so it would take him 15.28 hours

Answer:

gdghdhsxjsjsj

Step-by-step explanation:

jcjcjcjcjjcjcjcjcjc

Answer:

t is a regular hexagon of side 2′. So it can be divided into 6 triangles equal in all respects.The sum of all interior angle of hexagon =(n-2)*180 = (6–2)180 =720 deg. each interior angle =720/6 =120 deg.Side of the triangle divides this angle into two equal halves each = 60 deg.when two base angles of each triangle are 60 and 60 third angle will also become 60 making it as equilateral triangle. N ow the area of hexagon =6*the area of each equilateral triangle of base 2 ft.=6*1/2*2*h. h is the altitude of the triangle=2/2*tan 60 = rt3 =1.732 .NOW area of hexagon =6*1.732 = 10.392 sq.ft

Answer/Step-by-step explanation:

1.

✔️a = 180 - 110 (consecutive angles are supplementary)

a = 70°

✔️b = a (corresponding angles are congruent)

b = 70°

✔️c = 110° (alternate interior angles are congruent)

2.

✔️a = 180 - 120 (linear pair)

a = 60°

✔️b = a (corresponding angles are congruent)

b = 60°

✔️c = a (alternate interior angles are congruent)

c = 60°

3.

✔️a = 55° (corresponding angles are congruent)

✔️b = 55° (Vertical angles are congruent)

✔️c = 180 - 55 = 125° (linear pair)

4.

✔️a = 115° (corresponding angles are congruent)

✔️b = 180 - a (linear pair)

b = 180 - 115

b = 65°

✔️c = b (vertical angles are congruent)

c = 65°

5.

✔️a = 180 - 25 = 155° (supplementary angles)

✔️b = 25° (corresponding angles)

✔️c = 25° (vertical angles)

6.

✔️a = 180 - 10 = 170° (linear pair)

✔️b = a (corresponding angles are congruent)

b = 170°

✔️c = 10° (corresponding angles are congruent)

Answer:

(-, -)

Step-by-step explanation:

The x value is negative and the y value is also negative

Answer:

5%

Step-by-step explanation:

487/9374=0.05

0.05 would translate to 5%

Hope this helps! :)

Answer:

F (5%)

Step-by-step explanation:

To find the percentage of questions he got correct:

487/9374=0.051....

So, assuming an F is less than 50%, he got an F.

Answer:

(1) linear functions grow by equal factors over equal intervals

I think this is right, I may be wrong

Step-by-step explanation:

Hope this helps :)

Answer: I already answered this question already

Step-by-step explanation:

independent- x or hours

dependent- y or money earned

y=8x

Answer:

The green box by 0.234kg of sugar

Step-by-step explanation:

Given data

The green box weight= 1.26 kg

The red box weight=  1.026 kg

comparing the two values

the green box contains 0.234kg more sugar

=1.26-1.026

=0.234kg

Answer:

A(-2/3)

B(-1/6)

C(1/2)

D(4/3)

Step-by-step explanation:

There are 6 tics in each section.

That means each tic is 1/6

A(-4/6) -> (-2/3)

B(-1/6)

C(3/6) -> (1/2)

D(8/6) -> (4/3)

Answer: x = 50

Step-by-step explanation:

-0.2(x - 20) = 44 - x

-0.2x + 4 = 44 - x (distribute the -0.2)

  + x                + x

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

0.8x + 4 = 44

        - 4    - 4

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

0.8x = 40 (divide by 0.8)

x = 50

Answer:

y ≈ 9.24

Step-by-step explanation:

Using the cosine ratio in the right triangle.

cos30° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{8}{y}[/tex] ( multiply both sides by y )

y × cos30° = 8 ( divide both sides by cos30° )

y = [tex]\frac{8}{cos30}[/tex] ≈ 9.24 ( to the nearest hundredth )

Answer:

8 pounds

Step-by-step explanation:

x = number of pounds

5x<40

x<40/5

so she can buy X<8 pounds

Answer:

x=8

Step-by-step explanation:

23x=184

x=8

Answer:

pretty sure its equation, if its wrong im sorry!