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bearhunter [10]
2 years ago
5

The sum of two nonzero real numbers is 4 times their product. What is the sum of the reciprocals of the two numbers

Mathematics
1 answer:
zlopas [31]2 years ago
7 0

Answer:

  4

Step-by-step explanation:

If the two numbers are 'a' and 'b', the sum of their reciprocals is ...

  \dfrac{1}{a}+\dfrac{1}{b}=\dfrac{a+b}{ab}=\dfrac{4ab}{ab}=\boxed{4}

The sum of their reciprocals is 4.

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Anni [7]
B and A

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2 years ago
If angle JKM= 15x-48 and angle L= 5x+12 and angle M= 40, find angle MKL
horrorfan [7]
JKM = M + L
15x - 48 = 40 + 5x + 12
10x - 48 = 52
10x = 100
x = 10
JKM = 15(10) - 48 = 102

180 = JKM + MKL
180 = 102 + MKL
MKL = 180 - 102 = 78
5 0
3 years ago
Point Y is in the interior of ∠XWZ. Given that WX→ and WZ→ are are opposite rays, and m∠XWY=4(m∠YWZ) is m∠YWZ?.
EleoNora [17]

Answer:

m∠YWZ=36°

Step-by-step explanation:

Opposite rays are two rays that both start from a common point and go off in exactly opposite directions. Because of this the two rays (WX and WZ) form a single straight line through the common endpoint W.

If rays WX and WZ are opposite, then angle XWZ is straight angle. A straight angle always has the measure of 180°.

Point Y is in the interior of ∠XWZ, then angles XWY and EWZ are supplementary angles (together form straight angle XWZ). Supplementary angles always add up to 180°, then

m∠XWY+m∠YWZ=180°

You are given that

m∠XWY=4(m∠YWZ).

Substitute it into the previous equality:

4(m∠YWZ)+m\angle YWZ=180°

5(m∠YWZ)=180°

m∠YWZ=36°

5 0
3 years ago
Please help :(<br> find b
FinnZ [79.3K]

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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