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adelina 88 [10]
2 years ago
8

Determine whether y varies directly with x

Mathematics
1 answer:
agasfer [191]2 years ago
7 0

Answer:

true

Step-by-step explanation:

i believe its true, i may be wrong, if so, im sorry :((

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In circle O, RT and SU are diameters.
nataly862011 [7]

In circle O, RT and SU are diameters. mArc R V = mArc V U = 64°. Thus, option C is correct.

Given that:

mArc R V = mArc V U,

Angle S O R = 13 x degrees

Angle T O U = 15 x - 8 degrees

<h3>How to calculate the angle TOU ?</h3>

∠SOR = ∠TOU  (Vertically opposite angles are equal).

Therefore:

13 x = 15x - 8

Subtracting 13x from both sides

13x - 13x = 15x - 8 - 13x

0 = 15x - 13x - 8

2x - 8 = 0

Adding 8 to both sides:

2x - 8 + 8 = 0 + 8

2x = 8

2x/2 = 8/2  

x = 4

∠SOR = 13x

= 13(4)

= 52°

∠TOU = 15x - 8

= 15(4) - 8

= 60 - 8

= 52°

Let a = mArc R V = mArc V U

Therefore:

mArc R V + mArc V U + ∠TOU = 180 (sum of angles on a straight line)

Substituting:

a + a + 52 = 180

2a = 180-52

2a = 128

a = 128/2

a= 64°

mArc R V = mArc V U = 64°

In circle O, RT and SU are diameters. mArc R V = mArc V U = 64°. Thus, option C is correct.

Learn more about angles here:

brainly.com/question/2882938

#SPJ1

6 0
2 years ago
3x+2y=23<br> 1/2x-4=y<br><br> What should I do for this one...? I dont really understand
Hitman42 [59]

Since you have y alone on one side of the equation......

Use substitution and plug in 1/2x-4 for y in the other equation.


3x+2(1/2x-4)=23\\

Distribute

3x+x-8=23

Combine like terms

4x-8=23

Add 8 to both sides

4x=31

Divide by 4

and x=31/4

Plug this value in for x

31/4*1/2-4=y

Simplify

31/8-4=y

Multiply everything by 8 and simplify

31-32=8y\\-1=8y

Divide.....

y=-1/8


Your answers are:

y=-1/8\\x=31/4



8 0
3 years ago
Paul is making bread using a recipe. The amount of flour he uses is proportional to the number of loaves of bread. He uses 1114
DiKsa [7]

Answer:

$20

Step-by-step explanation:

Paul is making bread using a recipe. The amount of flour he uses is proportional to the number of loaves of bread. He uses 11 1/4 cups of flour to make 5 loaves of bread. If Paul used 18 cups of flour, and then sold the loaves of bread he made at a bake sale for $2.50 each, how much money would Paul make from his bread sales?

Step 1

Find out how many loaves of bread he can produce from 18 cups of flour

11 1/4 cups of flour = 5 loaves of bread

18 cups of flour = x loaves of bread

Cross Multiply

11 1/4 cups × x loaves = 18 cups × 5 loaves

x loaves = 18 cups × 5 loaves/ 11 1/4 cups

x loaves = 90 ÷ 11 1/4

x loaves = 90 ÷ 45/4

x loaves = 90 × 4/45

x loaves = 8 loaves of bread

He can produce 8 loaves of bread from 18 cups of flour.

Step 2

We are told that:

1 loaf of bread costs $2.50

Hence,

1 loaf of bread = $2.50

8 loaves of bread = $x

Cross Multiply

$x = 8 loaves of bread × $2.50

$x = $20

Therefore, Paul made $20 from his bread sales

8 0
2 years ago
49 = -5n – 2n<br> I think I know the answer but just wanna be sure?
Svetach [21]

Answer:

n = -7

Step-by-step explanation:

49 = -5n - 2n

combine like terms

-5 - 2 = -7

49 = -7n

divide both sides by -7

49/-7 = -7n/-7

49/-7 = n

49/-7 = -7

-7 = n

3 0
3 years ago
You attend a baseball game with friends and visit the snack stand between innings. Soda costs $2 a can, and a box of popcorn cos
horsena [70]

Answer:

I feel that is would be D

Step-by-step explanation:

This is the most reasonable awnser.

8 0
2 years ago
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