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tekilochka [14]
3 years ago
11

Line X and Y are parallel lines crossed by transversal, t if angle 1 equals (4x-28) and angle 2 equals (x+68) then find the meas

ure of angle 1 and angle 2. please show step by step instruction .

Mathematics
2 answers:
Nezavi [6.7K]3 years ago
7 0

Answer:A

: 4x-28= X+68 corresponding angles are congruent

-X. = -X

3x-28=68

+28=+28

3x= 96

Divide by 3

X= 32. 4x-28

Angle 1 = 4(32)-28 128-28=100

X+68

Angle 2= 32+68=100

ipn [44]3 years ago
3 0

Answer: option A is the correct answer

Step-by-step explanation:

Since line X is parallel to line Y, it means that angle 1 and angle 2 are corresponding angles. Since corresponding angles are congruent or equal, it means that

4x - 28 = x + 68

Adding 28 to the left hand side and the right hand side of the equation, it becomes

4x - 28 + 28 = x + 68 + 28

4x = x + 96

Subtracting x from both sides of the equation, it becomes

4x - x = x - x + 96

3x = 96

Dividing both sides of the equation by 3, it becomes

3x/3 = 96/3

x = 32

Therefore,

Angle 1 = 4x - 28 = 4 × 32 - 28 = 100 degrees

Angle 2 = x + 68 = 32 + 68 = 100 degrees

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In this case, 5 feet is the width and 2.4 feet is the length.
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garri49 [273]

The scale factor that Thea uses to go from Rectangle Q to Rectangle R is equal to 6.

<h3>What is the scale factor from rectangle Q to rectangle R?</h3>

In geometry, the scale factor is a ratio of the resulting length to the initial length. Since the area of the square is equal to the square of its side length, then the scale factor is equal to:

k² = A' / A

k = √(A' / A)

Where:

  • k - Scale factor
  • A' - Area of the rectangle R.
  • A - Area of the rectangle Q.

If we know that A = 2 and A' = 72, then the scale factor is:

k = √(72 / 2)

k = √36

k = 6

Then, the scale factor that Thea uses to go from Rectangle Q to Rectangle R is equal to 6.

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7 0
1 year ago
Is this right and plz help
FrozenT [24]
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8 0
3 years ago
How to convert a repeating decimal to a fraction when only 1 digit is repeating?
Alecsey [184]
Example 0.777777

x = 0.77
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5 0
3 years ago
The diagram shows a prism.
telo118 [61]

Answer:

Total surface area of the prism = 920 cm²

Step-by-step explanation:

Given prism has 2 similar triangular surfaces and 3 rectangular surfaces of different dimensions.

Area of one triangular side = \frac{1}{2}(\text{Base})(\text{Height})

Area of 2 similar sides = Base × Height

                                     = 8 × 15

                                     = 120 cm²

Area of rectangular side with dimensions 17cm × 20cm

Area of the side = 17 × 20 = 340 cm²

Area of the second rectangular side with dimensions 8cm × 20cm

Area of the side = 8 × 20 = 160 cm²

Area of third rectangular side with dimensions 20cm × 15cm

Area of the side = 20 × 15 = 300 cm²

Total surface area of the given triangular prism = 120 + 340 + 160 + 300

                                                                               = 920 cm²

6 0
3 years ago
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