All categories

3 years ago

Circles M and K are congruent,arc QR is congruent to arc LN and arc OP is congruent to arc VW find y

Mathematics

2 answers:

andreev551 [17]3 years ago

5 0

Answer:

Option D. y = (-5) is the answer.

Step-by-step explanation:

Two circles M and K are congruent.Arc QR is congruent to arc LN and arc OP is congruent to arc VW.

We have to find the value of y.

Since arc QR ≈ arc LN

Therefore, 2x - y = 11 ----------(1)

and arc WV ≈ arc PO

So, 5x + y = 10 ---------(2)

Now by solving equation 1 and equation 2 we will get the value of y.

To solve the equations we will multiply equation 1 by 5 and equation 2 by 2 first, then we will subtract equation 1 from 2.

2(5x + y) - 5(2x - y) = 10×2 - 11×5

10x + 2y - 10x + 5y = 20 - 55

7y = -35

y = (-5)

y = (-5) is the answer.

Sladkaya [172]3 years ago

3 0

The answer is -5. Just plug in -5 to check and x will equal 3.

You might be interested in

aliyah tapi brianna and greg always split two pizzas for lunch. each pizza is cut into 8 slices. if aliyah eats 3 pieces tapi ea

NemiM [27]

Answer: 5

Step-by-step explanation: There 2 pizza boxes cut into 8 so that make it 16 slices 16-3-4-1-3= 5.

7 0

3 years ago

Read 2 more answers

24 , Factor: x²-9 A (x + 3XX-3) B (x+3)2 с (x-3) (x+3)(x+3)

Katarina [22]

Answer:

(x-3)(x+3)

Step-by-step explanation:

We are given the expression $\displaystyle \large{x^2-9}$ :—

To factor this expression, we have a formula for it which is difference of two squares:—

$\displaystyle \large{a^2-b^2=(a+b)(a-b)}$

You can also swap from $\displaystyle \large{(a+b)(a-b)}$ to $\displaystyle \large{(a-b)(a+b)}$ via multiplication property.

From the expression, factor using the formula above:—

$\displaystyle \large{x^2-9=(x^2)-(3)^2}\\\displaystyle \large{x^2-9=(x-3)(x+3)}$

Therefore, the factored expression is:—

$\displaystyle \large{\boxed{(x-3)(x+3)}}$

__________________________________________________________

If you have any questions regarding the problem or need clarification of my answer/explanation, do not hesitate to ask in comment!

5 0

2 years ago

What is the answer to 7y-4.5-6y

Archy [21]

Answer:

y=3.5

Step-by-step explanation:

7y-4.6-6y

4.5=7y+6y

4.5=13y

4.5. 4.5

y=3.5

3 0

3 years ago

Read 2 more answers

Solve for y -17x + 11y = 13

sveta [45]

Answer:

y=13/11+17x/11 (these are fractions)

Step-by-step explanation:

Move all terms that don't contain

to the right side and solve.

4 0

3 years ago

A satellite is orbiting Earth at an altitude of 480 kilometers. What is the satellite's altitude, in meters? (1

marysya [2.9K]

Answer:

480,000

Step-by-step explanation:

480*1,000=480,000

7 0

3 years ago