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REY [17]
3 years ago
10

Given quadrilateral TUVX ~ quadrilateral MNOP and VX = 5, XT = 10, and OP = 7, what is PM?

Mathematics
1 answer:
Likurg_2 [28]3 years ago
8 0
\dfrac{\overline{PM}}{\overline{OP}}=\dfrac{\overline{XT}}{\overline{VX}}\\\\
\dfrac{\overline{PM}}{7}=\dfrac{10}{5}\\\\
\dfrac{\overline{PM}}{7}=2\\\\
\overline{PM}=14

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What is (4/5)² answer​
ELEN [110]

Answer:

16/25

Step-by-step explanation:

use a scientific calculator

5 0
3 years ago
Mrs. Johnson measured 3 rectangular rooms that she wants to tile. What is the total area of the​ rooms?
stich3 [128]

Answer:

Find the area of each room and add the areas

Step-by-step explanation:

Please find the full question in the attached image

the area of rectangle is length x breadth. The area of each room would be found and the three areas would be added together

for example ,

dimension of room 1 = 5 x 3

dimension of room 2 = 2 x 3

dimension of room 3 = 4 x 5

area of room 1 = 15

area of room 2 = 6

area of room 3 = 20

total area = 15 + 6 + 20 = 41

6 0
3 years ago
A researcher is exploring the notion that there is an economy of scale in raising children. While having one child might add to
trasher [3.6K]

Answer:

The probability is   G  =  85%

Step-by-step explanation:

From the question we are told that

   The percentage of parents that have one child under 18 in their homes is  k = 15%

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    The percentage of parents that have three or more children is  Y = 20%

Generally the probability that any given family who is selected have two or more children at home is mathematically evaluated as

     G  =  T  +  Y

=>  G  =  65% +  20%

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4 0
3 years ago
It takes 12 hours for a single hose to fill a large vat. When a second hose is added, the vat can be filled in 4 hours. How many
aksik [14]
<h3>Answer:</h3>

6 hours

<h3>Step-by-step explanation:</h3>

The two hoses together take 1/3 the time (4/12 = 1/3), so the two hoses together are equivalent to 3 of the first hose.

That is, the second hose is equivalent to 2 of the first hose. Two of the first hose could fill the vat in half the time one of them can, so 6 hours.

The second hose alone can fill the vat in 6 hours.

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The first hose's rate of doing work is ...

... (1 vat)/(12 hours) = (1/12) vat/hour

If h is the second hose's rate of doing work, then working together their rate is ...

... (1/12 vat/hour) + h = (1/4 vat/hour)

... h = (1/4 - 1/12) vat/hour = (3/12 -1/12) vat/hour = 2/12 vat/hour

... h = 1/6 vat/hour

so will take 6 hours to fill 1 vat.

8 0
3 years ago
What is 2 1/8 take away 1/2​
goblinko [34]

The equation is 2\frac{1}{8} - \frac{1}{2} .

1/2 is equivalent to 4/8, and 2 1/8 is equal to 17/8. (two full sets of 8 + 1 = 8 + 8 + 1, or 17)

The new equation is \frac{17}{8} -\frac{4}{8} . Subtract the numerators.

17 - 4 = 13 or 13/8

The improper fraction \frac{13}{8} simplifies to 1\frac{5}{8} .

<h2>Answer:</h2>

1\frac{5}{8}

Hope this helps :)

5 0
3 years ago
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