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andreyandreev [35.5K]
3 years ago
10

In rectangle abcd measure of angle d =(3x+15) measure b =(6x-42) find measure of angle a

Mathematics
1 answer:
slava [35]3 years ago
6 0
5) So for parallelogram ABCD, ∠B ≅ ∠D, and ∠A ≅ ∠C. Further, ∠B and ∠A are supplementary (i.e., their sum is 180°), and ∠D and ∠C are also supplementary.
So, we have that m∠B = m∠D. Therefore, 
6x-42=3x+15\\3x=57\\x=19

Now, let's substitute for x back into the expression for either ∠B or ∠D to find it's angle measure.
m∠B = 6(19)-42=72
Now, remember that ∠B or ∠D are supplements of ∠A. 
So, m∠B + m∠A = 180°.
That means m∠A = 180° – 72° = 108°.
That seems reasonable, because A appears to be an obtuse angle.
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6 0
2 years ago
The volleyball team is selling raffle tickets for $1.50 each. It wants to make at least $250 from the sales. Assume everyone buy
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Each person needs to buy at least 3 tickets, because 2 is too small
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5 0
3 years ago
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Daniel works in a market. He has a large bag of potatoes that weighs 261/4 pounds and he is going to sell them in smaller bags o
Lynna [10]

Answer:

11 6/9

Step-by-step explanation:

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Daniel is going to sell them in smaller bags 9/4 pounds each

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= 26 1/4 ÷ 9/4

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7 0
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3 0
3 years ago
PLEASE HELP ME!!
Step2247 [10]

Answer:

A = $10,441.68

A = P + I where

P (principal) = $10,400.00

I (interest) = $41.68

Step-by-step explanation:

First, convert R as a percent to r as a decimal

r = R/100

r = 0.02/100

r = 0.0002 rate per year,

Then solve the equation for A

A = P(1 + r/n)nt

A = 10,400.00(1 + 0.0002/2)(2)(20)

A = 10,400.00(1 + 0.0001)(40)

A = $10,441.68

Summary:

The total amount accrued, principal plus interest, with compound interest on a principal of $10,400.00 at a rate of 0.02% per year compounded 2 times per year over 20 years is $10,441.68.

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