All categories

2 years ago

Given MTS and SQP, find sq

Mathematics

1 answer:

STALIN [3.7K]2 years ago

5 0

The measure of the side SQ from the given diagram is 19/6

<h3>Similar shapes</h3>

Similar shapes are shapes that has equal length and equal side measures and angles.

From the given diagram, the measure of the sides TSis congruent to SP and the measure of MS is congruent to SQ.

Using the expression below to determine the value of x

MS/ST = SQ/SP

Given the following parameters

MS =30

ST = 10

SQ = 6x-1

SP = 3 - 2x

Substitute the given parameters into the formula to have:

30/10 = 6x-1/3-2x

Cross multiply

10(6x-1) = 30(3-2x)

Expand

60x - 10 = 90 - 60x

60x + 60x = 90 + 10

120x = 100

x = 10/12

x = 5/6

Determine the measure of SQ

SQ = 6x - 1

SQ = 5(5/6) - 1

SQ = 25/6 - 1

SQ = 19/6

Hence the measure of the side SQ from the given diagram is 19/6

Learn more on similar triangles here: brainly.com/question/4163594

#SPJ1

You might be interested in

Four members from a 45-person committee are to be selected randomly to serve as chairperson, vice-chairperson, secretary, and

wariber [46]

Answer:

3575880

Step-by-step explanation:

We need to use Permutation method,

$nPr= \frac{n!}{(n-r)!}$

Where n is the sample of size and r the combination considered, so

$n=45\\r=4\\45P4= \frac{45!}{(45-4)!}\\45P4 = 3575880$

There is 3575880 possibilities to make leadership structures in that committee

6 0

4 years ago

Helppppppppp

Anettt [7]

Answer:

The total number of U.S. high school students that played on a sports team that year can be estimated to be 7,950,000.

Step-by-step explanation:

From the random sample, we can expect that $\frac{250000}{500000}=\frac{1}{2}$ of all students played on a sports team that year. So in the bigger sample of 15900000 high school students, we can expect $15900000 \cdot \frac{1}{2} = 7950000$ students to have played on a sports team that year.

7 0

3 years ago

What is the distance, d, between the points (3,5/2) and (5/3,1)?

Aleks [24]

Answer:

The correct answer is $\sqrt{145}/6$

Step-by-step explanation:

6 0

3 years ago

Students have 40 minuets to complete 50 questions on the aspire ___ test

Murljashka [212]

I believe the answer to this is C. English.

3 0

4 years ago

Read 2 more answers

Using the quadratic formula to solve 7x^2-x=7, what are the values of x?

ycow [4]

Quadratic equation is $x= \frac{-b {\pm} \sqrt{ b^{2}-4ac}}{2a}$ WHEN
$a x^{2} +bx+c=0$

So, to make this true subtract 7 from each side.

The equation is now 7 $x^{2}$ - x - 7 = 0

Values for a, b, and c: a = 7, b = -1, c = -7

Plug these variables into the quadratic equation.

$x= \frac{1 {\pm} \sqrt{ -1^{2}-4*7*-7}}{2*-7}$

Square -1 to get 1 and multiply -4 x 7 x -7 to get 196.

$x= \frac{1 {\pm} \sqrt{1+196}}{2*-7}$

Multiply 2 x -7 to get -14, the denominator, and add 1 to 196.

$x= \frac{1 {\pm} \sqrt{197}}{-14}$

Since 197 is not a square number, and I don't know if you want to leave it in radical form or not, I will just because it's easier to understand.

Hope this helps!

8 0

3 years ago