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2 years ago

Look at the figure. If ∠1≡∠5, describe the relationship between lines a and b.

Mathematics

2 answers:

loris [4]2 years ago

8 0

<span>∠1 and ∠5 are correspondent angles. If they are congruents, the lines a and b must be parallels.
Answer: Third option. </span><span>The lines are Parallel</span>

neonofarm [45]2 years ago

7 0

Answer: the correct option is (C) The lines are parallel.

Step-by-step explanation: Given that ∠1 ≡ ∠5 in the figure shown.

We are to describe the relationship between the lines a and b.

From the figure, we see that

the lines a and b are cut by a transversal, where ∠1 and ∠5 are corresponding angles.

Since the corresponding angles are congruent, so the measure of the corresponding angles are equal.

i.e., m∠1 = m∠5.

Therefore, the lines a and b are parallel.

Thus, (C) is the correct option.

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Answer:

4.0415

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2 years ago

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2 years ago

The percentage method of withholding for federal income tax (2003) states that a single person whose weekly wages, after subtr

goblinko [34]

The range that the amount withheld vary if the weekly wages, after subtracting withholding allowances, vary from $600 to $700 inclusive is: 76.35<x<101.35.

<h3>Range</h3>

Given

592<x1317

74.35+.25

Hence:

Lowest range

74.35+.25(600-592)

74.35+.25(8)

74.35+2

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Highest range

74.35+.25(700-592)

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1 year ago

1. Kristen spent $131 on shirts at Target last week. She bought some fancy shirts for

Masja [62]

Answer:

Kristen bought 2 fancy shirts and 5 plain t-shirts.

Step-by-step explanation:

Given that,

Kristen spent $131 on 7 shirts.

Cost of one fancy shirt = $28

Cost of one plain t-shirt = $15

Let,

x be the number of fancy shirts

y be the number of plain t-shirts

x+y = 7 Eqn 1

28x+15y=131 Eqn 2

Multiplying Eqn 1 by 15

15(x+y=7)

15x+15y=105 Eqn 3

Subtracting Eqn 3 from Eqn 2

(28x+15y)-(15x+15y)=131-105

28x+15y-15x+15y=26

13x=26

Dividing both sides by 13

$\frac{13x}{13}=\frac{26}{13}\\x=2$

Putting x=2 in Eqn 1

2+y=7

y=7-2

y=5

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Kristen bought 2 fancy shirts and 5 plain t-shirts.

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2 years ago

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