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MariettaO [177]
2 years ago
15

What is the value of angle k

Mathematics
1 answer:
lesantik [10]2 years ago
4 0

Answer:∠k = 121°

Step-by-step

Exterior Angle Theorem:

The measure of an exterior angle is equal to the sum of the two remote interior angles.

Add 31° and 90° to get ∠K

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From 1980 to 1990, the consumer price index (CPI) increased from 82.4 to 130.7. If a gallon of apple juice cost $0.95 in 1980 an
ryzh [129]
Answer: C $1.51

To solve this, start with a proportion. Put the CPI numbers on the left and the apple juice prices on the right.

You will have:

82.4/130.7 = 0.95/x

Cross multiply to solve and you will get the price of the juice is $1.51.
4 0
3 years ago
Read 2 more answers
If two of the four expressions x + y, x + 5y, x – y, and 5x – y are chosen at random, what is the probability that their product
storchak [24]

Answer:

  1/6

Step-by-step explanation:

The product will only be of the required form if the two chosen factors are of the form (x +by) and (x -by).

For the factor (x+y), there is also a factor (x-y) on the list. For the factor (x+5y), there is no factor (x-5y) available.

So, of the (4·3)/2 = 6 possible ways to choose two expressions from the four given expressions, only one pair of the 6 will have a product of the required form.

The probability is 1/6.

8 0
3 years ago
Use the distributive property 4x13 Find the product<br><br>I NEED HELP PLEASE!
Leviafan [203]
4(10+3)
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4 0
2 years ago
At what rate per annum does the compound interest of Rs 576 becomes to Rs 153 in 2 years
ArbitrLikvidat [17]

Answer:

The value of rate per annum is R = 12.5 %

Step-by-step explanation:

Principal amount = 576

Interest = 153

Amount after 2 years = 576 + 153 = 729

We know that

A = P [1 + \frac{R}{100} ] ^{T}

Put all the values in above equation

729 = 576 [1 + \frac{R}{100} ]^{2}

\frac{27}{24} = 1 + \frac{R}{100}

R = 12.5 %

This is the value of rate per annum.

4 0
3 years ago
If a questiong does not tell you to answer in terms of pi do you round
Wittaler [7]
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8 0
2 years ago
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