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aleksklad [387]
2 years ago
7

Find the lengths of the segments with variable expressions.

Mathematics
1 answer:
Luba_88 [7]2 years ago
8 0

Answer:

Step-by-step explanation:

By the trapezoid midsegment theorem,

2x = (x-6) + (2x-8)

2x = x - 6 + 2x - 8

2x = 3x - 14

x = 14

So we know AD = 8, EF = 14, and BC = 20

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neonofarm [45]
The answer to this problem is 4
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If m a is 45, then a is ?
dezoksy [38]
Then a is Half of 45 wich is 22.5 I believe. 
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phyllis invested 66000 dollars, a portion earning simple interest rate of 5% per year and the rest earning a rate of 7% per year
Lelechka [254]

<u>Answer: </u>

Physliis invested 32000 dollar at 5% interest rate and 34000 dollar at 7% interest rate.

<u>Solution:</u>

Let Phyllis invest ‘x’ dollar at 5% per year and (66000-x) dollar at 7% per year.

We know,

\text { Simple interest }=\frac{\text {Principal} \times r a t e \times T i m e}{100}

In the question it is given that Simple interest earned from both the investments at the end of the year is $3980.

Using the given below equation, we will try to find out the investments at each rate.

\begin{array}{l}{\frac{x \times 5 \times 1}{100}+\frac{(66000-x) \times 7 \times 1}{100}=3980} \\\\ {\frac{5 x}{100}+\frac{462000-7 x}{100}=3980} \\\\ {\frac{5 x+462000-7 x}{100}=3980} \\\\ {-2 \mathrm{x}+462000=3980 \times 100} \\\\ {-2 \mathrm{x}=398000-462000} \\\\ {-2 \mathrm{x}=-64000} \\\\ {\mathrm{x}=\frac{-64000}{-2}}\end{array}

x = 32000

We can calculate amount for 7% interest rate by,

(66000-32000) =34000

Thus Phyllis invested 32000 dollar at 5% interest rate and 34000 dollar at 7% interest rate.

8 0
3 years ago
Which expression shows how 8⋅54 can be rewritten using the distributive property
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What is the answer to this question
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