3 years ago

Find the length of ST

Mathematics

1 answer:

Andru [333]3 years ago

3 0

Answer:

$ST = 12$

Step-by-step explanation:

By AA Similarity, triangles ASR and EST are similar.

The ratio of the lengths of the sides of triangle ASR to those of EST is 6/8 or 3/4.

$\dfrac{SR}{ST} = \dfrac{3}{4}$

Also,

$SR + ST = 21$

By a rule of proportions, you get

$\dfrac{SR + ST}{ST} = \dfrac{3 + 4}{4}$

$\dfrac{21}{ST} = \dfrac{7}{4}$

$7ST = 4 \times 21$

$7ST = 84$

$ST = 12$

You might be interested in

The horsepower, H(s), required for a racecar to overcome wind resistance is given by the function: H(s) = 0.003s^2+0.07s-0.027,

Ira Lisetskai [31]

Answer: 0.61

Step-by-step explanation:

5 0

3 years ago

What fomula can be used to describe the sequence? -2/3,-4,-24,-144

Lunna [17]

This is a geometric sequence with n th term formula

$a_{n}$ = $a_{1}$ $(r)^{n-1}$

where r is the common ratio and $a_{1}$ the first term

here $a_{1}$ = - $\frac{2}{3}$ and

r = $\frac{-144}{-24}$ = $\frac{-24}{-4}$ = 6

$a_{n}$ = - $\frac{2}{3}$ $(6)^{n-1}$

or in terms of x

f(x) = - $\frac{2}{3}$ $(6)^{x-1}$

5 0

3 years ago

In AWXY, mW<br> Find mZX<br> (2x – 12), m_X = (2x + 17), and m_Y = (9x-7)<br> Find m

sladkih [1.3K]

Answer:

Step-by-step explanation:

The sum of interior angles in a triangle is equal to 180

2x - 12 + 2x + 17 + 9x - 7 = 180 add like terms

13x - 2 = 180 add 2 to both sides

13x = 182 divide both side by 13

x = 14

m<X = 2x + 17 replace x with 14

2*14 + 17 = 45

5 0

2 years ago

Richard cuts a piece of wood for a project. The first cut is shown and can be represented by the equation y = 1/2x + 2. The Seco

Morgarella [4.7K]

Since it is parallel, gradient must be the same so it will be 1/2
y=1/2x+c
-7=1/2(0)+c
c=-7
equation is y=1/2x-7

5 0

3 years ago

Read 2 more answers

Can someone please help me with this page

Oduvanchick [21]

Can you possibly take a clearer picture? Maybe I can help you with that.

7 0

3 years ago