1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Alex787 [66]
2 years ago
11

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
1/4e-2f - 1/f-2e what is the answer?
timofeeve [1]

Answer:

1

4

(2.718282)−2f−

1

f

−(2)(2.718282)

=

−2f2−4.756993f−1

f

=

−8f2−19.027973f−4

4f

=

−8f2−19.027973f−4

4f

7 0
3 years ago
A boat travels 21 miles due north and then 28 miles due east. Then the boat travels in a straight line back to its starting poin
Aneli [31]
21²+28²=c²
√1225=c
35 miles - distance of the boat to its starting point
3 0
3 years ago
I need help please and thank you
Pachacha [2.7K]

My answers are in the picture above.

8 0
3 years ago
Read 2 more answers
How to tell if your tower can have 2nd monitor?
riadik2000 [5.3K]
Check the tower to see if it has more than multipin monitor connector.
7 0
3 years ago
Estimate the distance you can travel in 3 hours 20 minutes if you drive on average 49 miles per hour. Round your answer to the n
AlexFokin [52]

Answer:

163 miles

Step-by-step explanation:

set up a ratio based on 49 miles in 1 hour (60 minutes):

let 'd' = distance in 3hrs, 20 min

3hrs, 20 min = 200 minutes

49/60 = d/200

cross-multiply:

60d = 9800

d = 163.3

7 0
2 years ago
Other questions:
  • Rewrite x - 2y = 8 using function notation. A) x - 2f(x) = 8 B) f(x) = -x + 8 C) f(x) = 2x + 8 D) f(x) = 1 2 x - 4
    12·2 answers
  • To the nearest hundredth, what is the distance between point (-6, -1) and point (4, 3)?
    10·2 answers
  • A catering company’s recipe for Salad uses a ratio of 2 c of dressing to 4 lb of vegetables (a) write a ratio of dressing to veg
    12·1 answer
  • Use synthetic division with the factor x + 1 to completely factor LaTeX: x^3+2x^2-5x-6x 3 + 2 x 2 − 5 x − 6.
    9·1 answer
  • The sum of the cost of dinner d and a $12 tip divided equally between 3 people. Write an espresso on in a simplest form?
    13·2 answers
  • If P is the incenter of JKL, find each measure
    13·1 answer
  • Solve the equation.
    6·1 answer
  • Help plz:))) I’ll mark u brainliest
    14·1 answer
  • Write -1/6, 5/3, -5/6 in order from least to greatest.
    15·1 answer
  • (04.04 MC)
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!