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erastova [34]
3 years ago
10

Based on the similar triangles shown below, Theodore claims that ∆TUV is transformed to ∆WXY with a scale factor of 32. Is Theod

ore correct? Yes, the triangles are similar with a scale factor of 32. No, the triangles are similar with a scale factor of 21. No, the triangles are similar with a scale factor of 23. No, the triangles are similar with a scale factor of 43.

Mathematics
1 answer:
vazorg [7]3 years ago
3 0

Answer:

No, the triangles are similar with a scale factor of ⅔

Step-by-step explanation:

Given that ∆TUV was transformed to ∆WXY, it means the original lengths of ∆TUV were multiplied by a scale factor that reduced the lengths of ∆TUV to get the lengths of ∆WXY.

AA scale factor of ³/2 will increase the lengths rather than reduce it.

Therefore, the scale factor that was used was ⅔.

Thus, ⅔ of UT will give you the size of XW. Check it out below:

UT = 12, therefore, ⅔*12 = 8.

You might be interested in
A rectangular pool has a sidewalk around it. The pool measures 6 feet by 10 feet and the total area of the pool and sidewalk is
Otrada [13]

Answer:

width of the sidewalk = 1 feet

Step-by-step explanation:

Area of the pool = length × width

Length = 10 feet

Width = 6 feet

Area of the pool = length × width

= 10 feet × 6 feet

= 60 feet²

Area of the pool = 60 feet²

Total area = Area of the pool + Area of sidewalk

96 feet² = 60 feet ² + Area of sidewalk

Area of sidewalk = 96 feet² - 60 feet ²

Area of sidewalk = 36 feet²

Length of pool + sidewalk = 10 + 2x

width of pool + sidewalk = 6 + 2x

( 10 + 2 x ) ( 6 + 2 x ) -60 = 36

60 + 20x + 12x + 4x² - 60 = 36

4x² + 32x - 36 = 0

4x² + 36x - 4x - 36 = 0

4x (x + 9) -4(x + 9) = 0

(4x - 4) (x + 9) = 0

4(x - 1) (x + 9) = 0

(x - 1) = 0 (x + 9) = 0

x = 1 or x = -9

The width of the side walk can't be a negative value

Therefore, width of the sidewalk = 1 feet

7 0
3 years ago
The side lengths, in centimeters, of a triangle are 5x, 32, and 2(3x + 2). perimeter of the triangle is 80 centimeters. what is
Lerok [7]

Answer:

20 cm

Step-by-step explanation:

5x + 32 + 6x + 4 = 80

11x + 36 = 80

11x = 44

x = 4

sides of triangle:

5(4) = 20 cm

32 cm

6(4) + 2 = 26 cm

4 0
3 years ago
Keisha is riding her bike on Bayview Bike path. Keisha‘s bike got a flat tire 2/3 of the way down the path, so she had to stop.
Leona [35]

Answer:

\frac{7}{12} miles.

Step-by-step explanation:

Please consider the complete question.

Bay View Bike Path is 7/8 miles. Keisha is riding her bike on Bay View bike path. Keisha's bike got a flat tire 2/3 of the way down the oath and she had to stop. How far did Keisha ride?

To find the distance covered by Keisha while riding the bike, we need to find 2/3 of 7/8 miles.

\text{Distance that Keisha ride}=\frac{2}{3}\times \frac{7}{8}

\text{Distance that Keisha ride}=\frac{1}{3}\times \frac{7}{4}

\text{Distance that Keisha ride}=\frac{1\times 7}{3\times 4}

\text{Distance that Keisha ride}=\frac{7}{12}

Therefore, Keisha ride \frac{7}{12} miles.

3 0
3 years ago
In the figure what is the length of BD?
Dmitry_Shevchenko [17]

Answer: 24

Step-by-step explanation: The triangle is a 45-45-90. It’s an isosceles triangle

5 0
3 years ago
Fractions greater than one 7-4
Oksana_A [137]
N > 1/3
n = 1/4

sorry if I was wrong
5 0
3 years ago
Read 2 more answers
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