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Andru [333]
2 years ago
13

What is the midpoint of a segment whose endpoints are (3, 7) and (7, 3)

Mathematics
1 answer:
hjlf2 years ago
3 0

Answer:

5/5 is the midpoint.

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What is the length of segment AE?
nexus9112 [7]

Answer:

AE=\frac{50}{3}\ units

Step-by-step explanation:

step 1

In the right triangle ABC

Applying the Pythagoras Theorem fin the hypotenuse AC

AC^{2} =AB^{2}+BC^{2}

substitute

AC^{2} =6^{2}+8^{2}

AC^{2} =100

AC =10\ units

step 2

we know that

If two figures are similar, then the ratio of its corresponding sides is equal

so

\frac{AB}{CD}=\frac{AC}{CE}

substitute and solve for CE

\frac{6}{4}=\frac{10}{CE}\\ \\CE=4*10/6\\ \\CE=\frac{20}{3}\ units

step 3

Find the length of segment AE

AE=AC+CE

substitute the values

AE=10\ units+\frac{20}{3}\ units=\frac{50}{3}\ units

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3 years ago
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natali 33 [55]

Answer:

190/570

Step-by-step explanation:

190/570

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Solving multi step equations 5/6k + 2/3 = 4/3
Tpy6a [65]

Answer:

k = 4/5

Step-by-step explanation:

First, rewrite 5/6k as (5/6)k; this is "five sixths of the variable k."

Next, identify the LCD.  It is 6.  Then the given equation becomes

5k + 4 = 8

Consolidate the constant terms:  

5k = 4

Solve for k: k = 4/5

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Step-by-step explanation:

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