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2 years ago

The diagram below shows two parallel lines, m and n, cut by a transversal, k. Angles A, B, and C are shown in the diagram

Mathematics

1 answer:

puteri [66]2 years ago

8 0

9514 1404 393

Answer:

Step-by-step explanation:

Angles A and C are vertical angles; angles B and C are alternate interior angles. Only line 3 of the proof is in error.

The applicable description is found in choice B.

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Use the elimination method to find all solutions of the system:

weqwewe [10]

Answer:

$x = 3$ and $y = 4$

Step-by-step explanation:

Given

[Correct Question]

$x^2 - 2y = 1$

$x^2 + 5y = 29$

Required

Solve using elimination

First, we eliminate x.

Subtract equation (1) from (2)

$x^2 - x^2 + 5y - (-2y) = 29 - 1\\$

$5y - (-2y) = 28$

$5y +2y = 28$

$7y = 28$

Divide through ny 7

$y = 4$

Take $x^2 - 2y = 1$

Make x^2 the subject

$x^2 = 1 + 2y$

Substitute 4 for y

$x^2 = 1 + 2*4$

$x^2 = 1 + 8$

$x^2 = 9$

Take square roots

$x = \sqrt 9$

$x = 3$

7 0

2 years ago

What property do you use to get from 2(x+3)=6 to 2x+6=6?

Sedbober [7]

Answer:

Distribute Property

Step-by-step explanation:

2 ( x + 3 ) = 6

2x + 6 = 6

4 0

2 years ago

Read 2 more answers

One fourth of the 120 students took wood shop. How many students did not take wood shop?

yawa3891 [41]

Answer:

90 students.

Step-by-step explanation:

Given 1/4 of the 120 students took woodshop, just take the 3/4 that didn't take it:

$\frac{3}{4}(120)$

Find common factors between 4 and 120 to simplify, so 4.

$\frac{3}{1} (30)$

Now multiple across to get 90.

5 0

2 years ago

What is the diameter of a hemisphere with a volume of 8514 cm', to the nearest

Mandarinka [93]

Answer:

32.0 cm

Step-by-step explanation:

volume of a hemisphere = (2/3)πr3

r = cube root (Volume * 3/2 * 1/π )

r = cube root ( 8514 * 3/2 * 1/π)

r = 15.96

in the nearest tenth r = 16.0 cm

D= 2r

D= 2(16)

D= 32cm

6 0

1 year ago

Read 2 more answers

Grampy $12 for 4 baseball packs James paid 28 for seven who got a better deal baseball card packs? And why

vitfil [10]

Answer:

Grampy

Step-by-step explanation:

money cards

Grampy= $12 4 packs

James= $28 7 packs

12*2= 24 dollars and 8 packs

while James payed 28 dollars for 7 packs

So Grampy got a better deal.

7 0

2 years ago