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Elza [17]
4 years ago
13

In the figure,(p)parallel(q) and (r)pparallel(s). Match each pair of congruent angles with the reason for their congruency.

Mathematics
2 answers:
klio [65]4 years ago
7 0
Corresponding angles for parallel lines r and s cut by transversal q. Corresponding angles are congruent angles. 
1 and 9
2 and 10
3 and 11
4 and 12

Corresponding angles for parallel lines p and q cut by transversal s. Corresponding angles are congruent angles. 
11 and 15
9 and 13
12 and 16
10 and 14

Corresponding angles for parallel lines p and q cut by transversal r. Corresponding angles are congruent angles. 
1 and 5
3 and 7
2 and 6
4 and 8

Linear pair theorem. These 2 angles are equal to 180°
∠1 + ∠2 = 180
∠3 + ∠4 = 180
∠9 + ∠10 = 180
∠11 + ∠12 = 180
∠5 + ∠6 = 180
∠7 + ∠8 = 180
∠13 + ∠14 = 180
∠15 + ∠16 = 180
∠1 + ∠3 = 180
∠2 + ∠4 = 180
∠9 + ∠11 =180
∠10 + ∠12 = 180
∠5 + ∠7 = 180
∠6 + ∠8 = 180
∠13 + ∠15 = 180
∠14 + ∠16 = 180

Vertical angles theorem. Vertical angles are congruent.
1 and 4
2 and 3
9 and 12 
10 and 11
5 and 8
6 and 7
13 and 16
14 and 15



Mariana [72]4 years ago
5 0

Answer:

∠1≅∠5 by Corresponding angles for parallel line p and q cut by traversal r

∠5≅∠13 by Corresponding angles for parallel line r and s cut by traversal q

∠10≅∠14 by Corresponding angles for parallel line p and q cut by traversal s

∠13≅∠16 by Vertical angles theorem

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Answer:

A:90

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Step-by-step explanation:

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3 years ago
Mrs. Smith has $20,000 to invest. She wants to earn $10,000 in interest. She is considering a savingsand loans bank that is offe
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Answer:

Number of year to get $10,000 as interest = 7.5 year (Approx)

Step-by-step explanation:

Given:

Initial investment = $20,000

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Rate of interest = 5.6% = 0.056

Find:

Number of year to get $10,000 as interest:

Computation:

Interest\ on\ investment = Initial\ investment[(1+r)^n-1]\\\\10,000 = 20,000[(1+0.056)-1]\\\\0.5=(1.056)^n-1\\\\1.5 =(1.056)^n\\\\n=7.44

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Number of year to get $10,000 as interest = 7.5 year (Approx)

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Step-by-step explanation:

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