All categories

3 years ago

PLEASE HELP!!! Which rule explains why these scalene triangles are similar

Mathematics

1 answer:

olchik [2.2K]3 years ago

7 0

Answer: Ratio of Parts

Step-by-step explanation:

$\text{Ratio of sides:}\ \dfrac{ST}{WS+ST}=\dfrac{66}{6+66}=\dfrac{66}{72}=\dfrac{11}{12}\\\\\\\text{Ratio of bases:}\ \dfrac{TU}{TU+UV}=\dfrac{44}{44+4}=\dfrac{44}{48}=\dfrac{11}{12}\\\\$

The ratios are equal so the triangles are similar.

You might be interested in

A sample with mean of 85 and SD of 12 is transformed into z-scores. After the transformation, what are the values for the mean a

MrRa [10]

Answer:

The value remain unchanged.

Step-by-step explanation:

By Z score, we mean:

Z = $\frac{x-\mu}{\sigma}$ , if we substitute the given values of mean and standard deviation, we obtain the z score value. That is,

Z = $\frac{85 - 0}{12}$ = 85/12 = 7.083333.

NB: We assume that mean and standard deviation are in the same units.

5 0

3 years ago

Find the value of x. Round your answer to the nearest tenth.

leva [86]

Answer:

Pythagorean Theorem:

a^2 + b^2 = c^2

6^2 + b^2 = 12^2

36 + b^2 = 144

b^2 = 108

b = 10.4

Let me know if this helps!

7 0

3 years ago

Read 2 more answers

A=? b=? C =? Can someone tell me the answer please

beks73 [17]

Answer:

Below.

Step-by-step explanation:

a = 37 degrees ( vertical angle to 37 )

c = 180 - 37 = 143 degrees (adjacent angles add up to 180).

b = 180 - 37 - 109 = 34 degrees (angles in a triangle sum to 180 degrees).

5 0

3 years ago

Read 2 more answers

Please help me out with this so I can keep my kitten.

notka56 [123]

Answer:

$y = \frac{32}{3}$

Step-by-step explanation:

Firstly, move over the negative 3/4 fraction (don't forget to swap the operation i.e subtract to add):

$\frac{y}{8} = \frac{7}{12} + \frac{3}{4}$

Now, to add the two fractions, simply multiply the numerator and denominator by 3:

$\frac{3*3}{4*3} = \frac{9}{12}$

Now add this to the other fraction:

$\frac{9}{12} + \frac{7}{12} = \frac{16}{12}$

This can be simplified down by dividing both the numerator and denominator by 4:

$\frac{4}{3}$

Which now simplifies the original equation to:

$\frac{y}{8} = \frac{4}{3}$

Remove the y out of the fraction:

$\frac{1}{8}y = \frac{4}{3}$

Now multiply both sides by 8:

$(\frac{1}{8}y) * 8 = (\frac{4}{3}) * 8$

$y = \frac{4*8}{3}$

$y = \frac{32}{3}$

Hope this helps!

5 0

3 years ago

Read 2 more answers

Find the difference in simplest form:

Andrew [12]

Answer:

D. is the answer I got i think it is right but IDK

4 0

3 years ago

Read 2 more answers