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lbvjy [14]
3 years ago
7

These triangles are scaled copies of each other. Four right triangles labeled F, B, G, and H. Triangle F has the vertical side l

abeled 8, the horizontal side labeled 6, and the longest side labeled 10. Triangle B has the vertical side labeled 2, the horizontal side labeled 3 halves, and the longest side labeled 5 halves. Triangle G has the vertical side labeled 4, the horizontal side labeled 3, and the longest side labeled 5. Triangle H has the vertical side labeled 8 thirds, the horizontal side labeled 2, and the longest side labeled 10 thirds. For each pair of triangles listed, the area of the second triangle is how many times larger than the area of the first? Triangle G and Triangle F
Mathematics
1 answer:
gulaghasi [49]3 years ago
7 0

Answer:

Mmmmmm... 480 - 60 = 420. 420 is the answer, I guess.

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Solve the triangle. Round your answers to the nearest tenth.
Tresset [83]

Answer:

<B = 47°

<C = 28°

b = AC = 28.0

Step-by-step explanation:

Given:

∆ABC

AB = c = 18

BC = a = 37

<A = 105°

Required:

Length of AC = b

measure of angle B and angle C

SOLUTION:

==>Use the sine rule, sin A/a = sinC/c to find the angle of C:

SinA = sin(105) = 0.9659

a = 37

sinC = ?

c = 18

0.9659/37 = sinC/18

Cross multiply

0.9659*18 = 37*sinC

17.3862 = 37*sinC

Divide both sides by 37

17.3862/37 = sinC

0.4699 = sinC

sinC = 0.4699

C = Sin-¹(0.4699)

C = 28.0° (nearest tenth)

==>Find angle B using sum of angles in a triangle:

Angle B = 180 - (105+28)

Angle B = 180 - 133

Angle B = 47°

==>Find length of b using sine rule, b/sinB = c/sinC:

SinC = sin(28) = 0.4695

SinB = sin(47) = 0.7314

c = 18

b = ?

b/0.7314 = 18/0.4695

Cross multiply

b*0.4695 = 18*0.7314

b*0.4695 = 13.1652

Divide both sides by 0.4695

b = 13.1652/0.4695

b = 28.0 (nearest tenth)

6 0
3 years ago
What is the value of x in the solution to this system of equations? 3x = 2y + 14<br> y = -6x + 18​
zmey [24]
Use substitution
3x = 2(-6x + 18) + 14
3x = -12x + 36 + 14
3x = -12x + 50
15x = 50, x = 50/15 = 10/3
Solution: x = 10/3
4 0
2 years ago
Which of the following statements are true? Check all that apply.
gavmur [86]
"Volume(10) = 1,000" and "Volume(2) = 8" are the two statements among the following choices given in the question that is true. The correct options among all the options that are given in the question are option "B" and option "C". I hope that this is the answer that has actually come to your great help.
8 0
3 years ago
Need to know, are these two equal
MaRussiya [10]

Answer:

They are equal.

Step-by-step explanation:

-\frac{7y}{2} = -\frac{7}{2} y

-\frac{7y}{2}\\ · 2 = -\frac{7}{2} y ·2

-7y  + 7y=-7y+7y

0=0

7 0
1 year ago
Read 2 more answers
Which expression is equivalent to 27 + 45?
PilotLPTM [1.2K]
9(3+5)

if you go through each answer choice you will notice that none of the rest are right 

8(3+6) = 24 +48
8(19 +37) = 152 + 296
9(18 +36)= 162 +324
6 0
3 years ago
Read 2 more answers
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