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andrew-mc [135]
3 years ago
13

The dashed-line triangle is a dilation image of the solid-lined triangle.

Mathematics
1 answer:
Gre4nikov [31]3 years ago
8 0
Refer to the edited figure.

Triangles ABC and A'B'C' are similar because of AAA.
Also,
\frac{AB}{A'B'}= \frac{15}{5}=3 \\\\  \frac{AC}{A'C'}= \frac{12}{4}=3

Therefore
ΔA'B'C' is 1/3 the size of ΔABC.
This means that the scale factor from ΔABC to ΔA'B'C' is a 3-factor reduction.

Answer:   reduction; one-third.
The dilation is a reduction.
The scale factor of the dilation is one-third.

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The perimeter of the rectangle below is 112 units. Find the length of side VW . Write your answer without variables. Top YX: 4z
dimaraw [331]

Answer:

VW = 33

Step-by-step explanation:

<em>See attachment for complete question</em>

Given

VY = 4x - 1

VW = 5x + 3

Perimeter = 112

Required

Determine the length of VW

Perimeter is calculated as:

Perimeter = 2 * (Width + Length)

This gives:

Perimeter = 2 * (VW + VY)

Substitute values for VW, VY and Perimeter

112 =  2 * (4x - 1 + 5x + 3)

Collect Like Terms

112 = 2 * (4x + 5x -1 +3)

112 = 2 * (9x +2)

Divide through by 2

56 = 9x + 2

Collect Like Terms

9x = 56 - 2

9x = 54

x = 54/9

x = 6

Substitute 6 for x in VW = 5x + 3

VW = 5 * 6 + 3

VW = 30 + 3

VW = 33

4 0
3 years ago
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4 0
3 years ago
PLLLLLLZZZZ HELP!! MULTIPLE CHOICE!!
liubo4ka [24]
First, set 2x+7 equal to 3x-7 since they are the same angle due to the parallel lines.

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Then, since 2x+7 and 12y+1 equals 180, put it together to find y:

(2x+7)+(12y+1)=180
(2(14)+7)+(12y+1)=180
12y+1=145
12y=144
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So, x=14 and y=12. Your answer should be C!
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