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4 years ago

(PLEASE ANSWER QUICK)

Mathematics

1 answer:

sammy [17]4 years ago

3 0

Answer:

FG=21 m

Step-by-step explanation:

we know that

A dilation is a no-rigid transformation that produces similar figures

Remember that

If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor

using proportion

$\frac{DA}{HE}=\frac{BC}{FG}$

we have

$\frac{DA}{HE}=\frac{2}{3}$

$BC=14\ m$

substitute

$\frac{2}{3}=\frac{14}{FG}$

Solve for FG

$FG=14(3)/2\\FG=21\ m$

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I neeeeed help with this one

skad [1K]

Answer:

All the terms are alike.

Step-by-step explanation:

6 0

4 years ago

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Guys please help! In triangle CDE, the measure of angle C is 90 degrees, side CD is 15 and DE is 3 more than CE. Find the length

AURORKA [14]

You can calculate it using the law of cosines: c^2=a^2+b^2-2*a*b*cos(C)

your triangle is
CD=15=a
CE=?=b
DE=CE+3=b+3=c
and C=90°

-> insert those values, with c substituted with b+3 to remove c

c^2=a^2+b^2-2*a*b*cos(C)
(b+3)^2=15^2+b^2-2*15*b*cos(90)
cos(90)=0->
(b+3)^2=15^2+b^2
b^2+2*3*b+3^2=225+b^2
6b+9=225
6b=216
b=36=CE

DE=CE+3=36+3=39

4 0

4 years ago

If f(x) =2x-6 and g(x) =(x) -2x 2squared, find each value. 1. g(-1/3) 2. g(-1)

harina [27]

1 will get your answer

6 0

3 years ago

Alyssa is jogging near Central Park. She runs along 65th Street for about 0.19 miles, then turns right and runs along Central Pa

Kryger [21]

Answer:

Her total run is 0.81 miles.

Step-by-step explanation:

Consider the provided information.

The provided information can be visualized by the figure 1.

The path she covers represent a right angle triangle, where the length of two legs are given as 0.19 and 0.28.

Use the Pythagorean theorem to find the length of missing side.

$a^2+b^2=c^2$

Where, a and b are the legs and c is the hypotenuse of the right angle triangle.

The provided lengths are 0.19 and 0.28.

Now, calculate the missing side.

$(0.19)^2+(0.28)^2=(c)^2$

$0.0361+0.784=(c)^2$

$0.1145=c^2$

$\sqrt{0.1145}=c$

$c\approx{0.34}$

Thus, the total distance is:

0.34 + 0.19 + 0.28 = 0.81

Therefore, her total run is 0.81 miles.

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4 years ago

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What is the area of the figure?? HELP PLS!!

Alchen [17]

Hi!

I've included an image showing the shape divided into 3 rectangles. We're going to find the area of each rectangle.

To find the area of a rectangle, multiply the length times the width.

The red rectangle:

8 · 9 = 72
The area of the red rectangle is 72in.

The orange rectangles:

The orange rectangles have the same area.
10 · 3 = 30
30 + 30 = 60
The area of both orange rectangles is 60in.

72 + 60 = 132

The answer is 132 square inches.

Hope this helps! :)

3 0

4 years ago