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Alex Ar [27]
4 years ago
12

Given that AD is the perpendicular bisector of BC, AB=15, AC=x, and BD=0.25x, identify BC.

Mathematics
2 answers:
Colt1911 [192]4 years ago
6 0

Answer:

7.5 units

Step-by-step explanation:

BD = DC

Triangles ABD and ACD are congruent.

So, x = 15

Reasoning (if needed)

AC² = AD² + DC²

x² = AD² + (0.25x)²

AD² = 0.9375x²

AB² = AD² + DB²

15² = 0.9375x² + (0.25x)²

225 = x²

x = 15

BC = 2BD

= 2(0.25×15)

= 7.5

zvonat [6]4 years ago
3 0

Answer:

The answer is 7.5

Step-by-step explanation:

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eduard

Answer:

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Step-by-step explanation:

Solve for y in the first equation.

y =  - 5x + 5 \\  - 2y =  - x - 21

Replace all occurrences of yy with -5x+5 in each equation.

10x - 10 =  - x - 21 \\ y =  - 5x + 5

Solve for x in the first equation.

x =  - 1 \\ y =  - 5x + 5

Replace all occurrences of x with -1 in each equation.

y = 10 \\ x  =  - 1

The solution to the system is the complete set of ordered pairs that are valid solutions.

(−1, 10)

<u>Hence</u><u>,</u><u> </u><u>the</u><u> </u><u>system</u><u> </u><u>of</u><u> </u><u>this</u><u> </u><u>equation</u><u> </u><u>is</u><u> </u><u>(</u><u>-1</u><u>,</u><u> </u><u>10</u><u>)</u><u>.</u><u> </u>

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5 0
3 years ago
Work out the value of x please
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Answer:

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Step-by-step explanation:

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Then I do

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4 0
4 years ago
4. What are the two y-intercepts?<br> 5. What are the two slopes?
Sphinxa [80]
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Kevin sold a box of 28 books at a yard sale for a total of $54.64. He sold the paperback books for $1.68 each and sold the hardc
vivado [14]

Answer:

A.  

x + y = 28

1.68x + 2.44y = 54.64

Step-by-step explanation:

Let x = paperback books and y = hardback books

x+y =28

We know that paperbacks cost 1.68 and hardback cost 2.44

1.68x + 2.44y = 54.64

We have 2 equations and 2 unknowns

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8 0
3 years ago
Write the ratio 2/7 over 3/7 in simplest form. Help Please!!! Need answer ASAP
sveticcg [70]
<h3>Answer:  2/3</h3>

============================================

Work Shown:

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When dividing fractions, you flip the second fraction and multiply (step 2).

Note in the last step, the 7's cancel out.

7 0
3 years ago
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