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Artyom0805 [142]
3 years ago
9

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:
ICE Princess25 [194]3 years ago
4 0

Answer:

Yes, the triangles are simirar with a scale factor of 3/2.

Step-by-step explanation:

We find the scale factor by dividing corresponding sides:

12/8=3/2

18/12=3/2

24/16=3/2

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Find the slope of the line that passes through the points (0,-11) and (8,-8).
Korolek [52]

To find the slope of a line, we can use the following formula:

\displaystyle \large{m =  \frac{y_2 - y_1}{x_2 - x_1} }

m-term stands for slope or gradient. The formula is useful whenever you want to find a slope of two points.

Let these be the following:

\displaystyle \large{(x_1,y_1) = (0, - 11)} \\  \displaystyle \large{(x_2,y_2) = (8, - 8)}

Substitute the points in formula:

\displaystyle \large{m =  \frac{ - 8 -( - 11)}{ 8 - 0} }

Negative multiply negative always come out as positive.

\displaystyle \large{m =  \frac{ - 8  +  11}{ 8 - 0} } \\  \displaystyle \large{m =  \frac{ 3}{ 8 } } \\

Since m stands for slope, we can say that:

\displaystyle  \large \boxed{ \tt{slope  =  \frac{3}{8} }}

5 0
3 years ago
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Quall o numero de diagonais de um poligono com 15 lados
Romashka [77]

Answer:

90 diagonais.

Step-by-step explanation:

n(n-3)/2=15(15-3)/2=15*6=90

7 0
3 years ago
What’s the GCF of (45x power of 2) y, and (54xy power of 2)
Firlakuza [10]

Answer:

9xy

Step-by-step explanation:

I suppose you're asking for the GCF of 45x^2y and 54xy^2.

45x^2y = 3^2 \times 5 \times x^2 \times y\\54xy^2 = 2 \times 3^3 \times x \times y^2

The GCF is 3^2 \times x \times y = 9xy.

6 0
3 years ago
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Convert the following standard form equation into slope-intercept form:<br> 6x + 5y = -15
olasank [31]

Answer:

y=\frac{-6){5}x-3

Step-by-step explanation:

given 6x+5y=-15

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y=\frac{-6}{5}x-\frac{15}{5}

y=\frac{-6}{5}x-3

slope=[tex]\frac{-6}{5}[tex], intercept=-3

6 0
3 years ago
Please help me. !no links or files! please and thank you :))
almond37 [142]

Answer:

7x+8m+7

Step-by-step explanation:

2(3x+4m)+x+7 =

6x+8m+x+7=

7x+8m+7

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