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hjlf
3 years ago
12

What is DE? Enter your answer as a decimal in the box.

Mathematics
1 answer:
GalinKa [24]3 years ago
6 0

Answer:

DE = 6.3

Step-by-step explanation:

Using the midline theorem.

A segment joining the midpoints of 2 sides of a triangle (DE) is

Parallel to the third side and half the length of the third side, thus

DE = 0.5 × 12.6 = 6.3

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A pile of 42 coins worth $4.90, consisting of nickels and quarters. How many nickels are there?
Ymorist [56]

Answer:14

Step-by-step explanation:

A nickel is 5 cents (20% of dollar)

and a quarter is 25 cents (25% of dollar)

We have given a pile of 42 coins worth of $4.90

Let x be the no nickels and

y be the no of quarter

therefore

x+y=42    -----1

\frac{x}{4}+\frac{y}{20}=4.90 ---2

Solving \left ( 1\right )&\left ( 2\right ) we get

x=14 & y=28

Therefore no of nickels is 14 & no of quarters is 28

6 0
3 years ago
10]The graph of a function is a line that passes through the coordinates (2, 11) and (8. 14).Which is an equation in terms of x
aksik [14]

We know that the graph of a function is a line that passes through the coordinates (2, 11) and (8, 14) and we must find the equation for the line.

1. We must use the next formula to find the slope

m=\frac{y_2-y_1}{x_2-x_1}

Where (x1, y1) and (x2, y2) are the points.

Now, replacing the points in the formula for the slope

m=\frac{14-11}{8-2}=\frac{3}{6}=\frac{1}{2}

2. We must replace the slope and one of the points in the next formula

y-y_1=m(x-x_1)

Now, replacing the slope and the point (2, 11)

\begin{gathered} y-11=\frac{1}{2}(x-2) \\  \end{gathered}

3. We must delete the parenthesis and solve the equation for y

\begin{gathered} y-11=\frac{1}{2}x-\frac{1}{2}\cdot2 \\ y-11=\frac{1}{2}x-1 \\ y=\frac{1}{2}x-1+11 \\ y=\frac{1}{2}x+10 \end{gathered}

ANSWER:

y=\frac{1}{2}x+10

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1 year ago
Is -12 an irrational or rational number
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-12 is a Irrational number
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3 years ago
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Tom drove 130 Miles at the speed of 65 mph, and then 200 more miles at the speed of 30 mph. What was his average speed for the e
ch4aika [34]
47.5 mph- because 30+65 equals 95 and 95 divided by 2 is 47.5
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3 years ago
Parallel lines cut by transversal. How to find angle measure.
allochka39001 [22]
#1 30
#2 150
#3 110
#4 60

#5 2x+50+3x=180
combine like terms

5x+50=180
subtract 50 from both sides

5x=130
divide both sides by 5 to isolate the variable

x=26

#5 3x=3(26)=78
#6 2x+50=2(26)+50=102

#7 AGE and CHG, AGH and CHF, EGB and GHD, HGB and FHD

#8 AGE and FHD, CHF and EGB
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