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3 years ago

PLEASE HELP ME!!!! WILL MARK BRAINLIEST!!

Mathematics

1 answer:

TiliK225 [7]3 years ago

8 0

There are a variety of ways you can solve this. I'll use the sine trig function.

If the $\frac{sinR}{1}$ = $\frac{8}{17}$ you can simply put $\frac{8}{17}$ into a scientific calculator and press "sin-1" to get an answer of approximately 28, which means that angle R is 28°

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The isosceles trapezoids, ABCD and EFGH, are similar quadrilaterals. The scale factor between the trapezoids is 2:3, = 6 centime

Bingel [31]

Answer:

Part A) see the explanation

Part B) see the explanation

Part C) The perimeter of trapezoid ABCD is 32 centimeters and the perimeter of trapezoid EFGH is 48 centimeters

Step-by-step explanation:

The complete question is

The isosceles trapezoids, ABCD and EFGH, are similar quadrilaterals. The scale factor between the trapezoids is 2:3, GH = 6 centimeters, AD = 8 centimeters, and AB is three times the length of DC

Part A) Write a similarity statement for each of the four pair of corresponding sides

we know that

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

The corresponding sides are

AB and EF

BC and FG

CD and GH

AD and EH

$\frac{AB}{EF}=\frac{BC}{FG}=\frac{CD}{GH}=\frac{AD}{EH}$

Part B) Write a congruence statement for each of the four pair of corresponding angles.

we know that

If two figures are similar, then its corresponding angles are congruent

The corresponding angles are

∠A and ∠E

∠B and ∠F

∠C and ∠G

∠D and ∠H

∠A ≅ ∠E

∠B ≅ ∠F

∠C ≅ ∠G

∠D ≅ ∠H

Part C) Determine the perimeter for each of the isosceles trapezoids

we have

The scale factor between the trapezoids is 2:3, GH = 6 centimeters, AD = 8 centimeters, and AB is three times the length of DC

step 1

Find the measure of CD

Remember that

The ratio between corresponding sides is proportional and this ratio is the scale factor

Let

z ----> the scale factor

$z=\frac{2}{3}$

$\frac{2}{3}=\frac{CD}{GH}}$

we have

$GH=6\ cm$

substitute

$\frac{2}{3}=\frac{CD}{6}}\\\\CD=4\ cm$

step 2

Find the measure of AB

Remember that

AB is three times the length of DC

$AB=3DC$

$DC=CD=4\ cm$

substitute

$AB=3(4)=12\ cm$

step 3

Find the measure of BC

Remember that in an isosceles trapezoid, the legs are equal

BC=AD

we have

$AD=8\ cm$

therefore

$BC=8\ cm$

step 4

Find the perimeter of trapezoid ABCD

$P=AB+BC+CD+AD$

substitute the values

$P=12+8+4+8=32\ cm$

step 5

Find the perimeter of trapezoid EFGH

we know that

If two figures are similar, then the ratio of its perimeters is equal to the scale factor

Let

z ---> the scale factor

x ----> the perimeter of trapezoid ABCD

y ----> the perimeter of trapezoid EFGH

$z=\frac{x}{y}$

we have

$z=\frac{2}{3}$

$x=32\ cm$

substitute

$\frac{2}{3}=\frac{32}{y}$

$y=32(3)/2=48\ cm$

therefore

The perimeter of trapezoid EFGH is 48 centimeters

3 0

3 years ago

Solve the given system by substitution.

wolverine [178]

Answer:

G = 1

h = 2

Step-by-step explanation:

4(2h - 3) - 5h = -6

8h - 12 - 5h = -6

3h - 12 = -6

3h = 6

h = 2

g = 2(2) - 3

g = 4 - 3

g = 1

5 0

3 years ago

Read 2 more answers

Ivory created a scaled copy of rectangle A.

9966 [12]

The scale factor that Ivory used to create their scaled copy is;

Scale is 1 interval on graph represents 4 units of the rectangle. This is 1:4 ratio.

From the given image, we can see that the y-axis of the rectangle has 3 intervals while the x-axis has 1 intervals

Now, from the image, we are told that the area of the scaled copy is 48 square units.

What this means is that the area of the triangle she is trying to represent with that graph is 48 square units.

Now, if one interval of the graph is x-units, then it means;

length; y-axis = 3x units

width; x-axis = x units

Area of a rectangle is given by;

Area = Length × width

Thus;

3x * x = 48

3x² = 48

x² = 48/3

x² = 16

x = √16

x = 4

Thus, 1 interval on the graph represents 4 units of the rectangle.

Read more at; brainly.com/question/17182684

8 0

2 years ago

Examine the diagram. Triangle A B C. Side A C is parallel to a line. The line is at angle B. The angles formed by the line are 7

Marina CMI [18]

Answer:

alternate exterior angles m∠A =70 °

m∠B =80 °

m∠C =30 °

Step-by-step explanation:

8 0

3 years ago

Be sure to complete both parts of this question!

Andru [333]

C !.!.!!.!..!.!!.!.!.!.!.!.!.!.!.!.!.!.!.!.!.!.!.!

8 0

3 years ago