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2 years ago

Which lines, if any, must be parallel based on the given information? Justify your conclusion.

Mathematics

2 answers:

77julia77 [94]2 years ago

7 0

A must be parallel to b.

Proof:
∠3 = ∠13 (given)
∠15 = ∠13 (vertically opposite angles are equal)
Since ∠13 = ∠3 and ∠13 = ∠15, ∠15 = ∠3

Then, a must be parallel to b (transverse line d cuts parallel lines producing converse alternate angles that are equal (ie ∠15 = ∠3))

Ivanshal [37]2 years ago

7 0

Answer:

Step-by-step explanation:

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mote1985 [20]

Answer:

Step-by-step explanation:

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2 years ago

Consider the diagram below which of the following represents the values of x and y?

V125BC [204]

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2 years ago

9(u-2) + 1.5u=8.25

Colt1911 [192]

Answer:

u= 2.5

Step-by-step explanation:

Using BIDMAS

Step 1: Expand the bracket

9(u-2) + 1.5u=8.25

9u-18+1.5u=8.25

Step 2: collect like terms

9u+1.5u=8.25+18

10.5u=26.25

Step 3: Divide both sides by 10.5 to get u

u= $\frac{26.25}{10.5}$ = 2.5

6 0

3 years ago

Read 2 more answers

1 point

tekilochka [14]

Answer:

$6.03

Step-by-step explanation:

Let's begin by listing out the given variables:

height (h) = 12 cm, diameter (d) = 8 cm, r = d ÷ 2 ⇒ r = 4 cm, cost of coconut oil (c) = $0.01 /cm³

The formula of cylinder is given by:

V = πr²h = π * 4² * 12 = 603.1858 cm³

cost of filling the tin can with coconut oil = cost of coconut oil * Volume of cylinder

Cost = c * V = 0.01 * 603.1858

Cost = $6.03

5 0

2 years ago

(25 points) What is the value of k? Please explain your answer

galben [10]

Answer:

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Step-by-step explanation:

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