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In rectangle abcd measure of angle d =(3x+15) measure b =(6x-42) find measure of angle a
1 answer:
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,
Now, let's substitute for x back into the expression for either ∠B or ∠D to find it's angle measure.
m∠B =
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.
So, we have that m∠B = m∠D. Therefore,
Now, let's substitute for x back into the expression for either ∠B or ∠D to find it's angle measure.
m∠B =
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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We are given: Degrees Celsius and degrees Fahrenheit are related by formula
To find : Solve formula for F in terms of C.
Solution: We have ,
First we need to get rid 9 from right denominator.
In order to get rid 9 from right denominator, we need to multiply equation both sides by 9.
9C = 5 (F-32).
Distributing 5 on right side over (F-32), we get 5*F - 5*32 = 5F - 160.
9C = 5F - 160.
Adding 160 on both sides,
9C+160 = 5F - 160+160.
9C+160 =5F
Dividing both sides by 5, we get
(9C+160)/5 =5F/5.
Splitting fraction 1/5, we get
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