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
V125BC [204]
2 years ago
14

Which statement about the figure MUST be true? Select all that apply.

Mathematics
1 answer:
olga55 [171]2 years ago
7 0
<h2>○=> <u>Correct options</u> :</h2><h2>□\color{plum}\tt\bold{(C) \: SR = 27}</h2><h2>□\color{plum}\tt\bold{(D) \: QR = 54 }</h2><h3><u>Steps to derive the correct options</u> :</h3>

Since two sides and one included angle is equal in △PQS and △PRS, we can conclude that they are congruent under the SAS congruence criterion.

Which means :

▪︎Angle S = Angle S

▪︎PS = PS

▪︎QS = RS

Given :

Measure of segment QS = 6n+3

Measure of segment RS = 4n+11

Thus :

= \tt6n + 3 = 4n + 11

= \tt6n + 3 - 4n = 11

=\tt 2n + 3 = 11

= \tt2n = 11 - 3

= \tt2n = 8

=\tt n =  \frac{8}{2}

\hookrightarrow\color{plum}\tt n = 4

Thus, the value of n = 4

Measure of segment QS :

=\tt 6n + 3

= \tt6 \times 4 + 3

= \tt24 + 3

\color{plum}\tt \: \bold{QS = 6n + 3 = \tt\bold{27}}

Thus, measure of QS = 27

Measure of RS :

=\tt 4n + 11

=\tt 4 × 4 + 11

=\tt 16+11

\color{plum}\tt \: \bold{RS = 4n + 11 = \tt\bold{27}}

Measure of QR :

=\tt 27+27

\color{plum}\tt \: \bold{QR = 27+27 \tt\bold{=54}}

Thus :

▪︎QS = 27

▪︎RS = 27

▪︎QR = 54

Therefore, the correct options are :

▪︎(C) SR = 27

▪︎(D) QR = 54

You might be interested in
Need help! Find the area
sammy [17]
7. the formula for octagon is a=2(1+radical2)s^2
s=4
a=about 77.25
8.
7 0
3 years ago
If kip spent $21.45 at the fair, how many tickets did he buy?
azamat
Can you add the price of the tickets?
4 0
3 years ago
The club buys shirts in bulk for 8 each. they mark up the shirts 75% to sell in the school store. At the end of the year, At the
Nitella [24]

The amount of profit the spirit club make on each shirt sold at the end of the year is = $2

<h3>Calculation of profit</h3>

The quantity of shirt bought by the club = $8 per shirt

At the end of the year they sold the shirts at discount of %25 each.

That is 25/100 × 8

= 200/100

= $2

Therefore, they made profit of $2 for each shirt they sold at the end of the year.

Learn more about profit here:

brainly.com/question/19104371

#SPJ1

4 0
2 years ago
1. In trying to decrease the number of overdue books, your school library has revised its system of fines. They are going to giv
il63 [147K]

Answer:

Therefore the correct option is b.) $1.15

Step-by-step explanation:

i) the book is 10 days late

ii) there is one day grace

iii) on the second day there is a fine of $0.25

iv) on the third day there is a fine of $0.20

v) for each of the remaining 7 days there is a fine of $0.10 for each day

  therefore the total fine for the remaining seven days is = 7 \times $0.10 =

   $0.70

vi) therefore the total fine for the book is = $0.25 + $0.20 + $0.70 = $1.15

Therefore the correct option is b.) $1.15

5 0
3 years ago
136 sq km divided by 8 km
Sloan [31]
The answer is 17 km.
6 0
3 years ago
Read 2 more answers
Other questions:
  • 98, 74, 84, 92, 84, 74, 80, 84, 98, 92, 82, 92, 76 <br> Make a frequency table of the data.
    10·1 answer
  • James tosses a coin 40 times and gets 26 heads and 14 tails. what is the relative frequency of tails?
    10·1 answer
  • Help me please thank you
    12·1 answer
  • Rearrange the equation 5x-3y+9=0 from standard form to slope/y-intercept form.
    10·1 answer
  • What number should Rihanna use for the height of the parallelogram if she uses 28 inches for the base
    11·1 answer
  • It Costs $4 to skate each hour and there is a one-time fee of $5 for the skate rental. Which expression represents the cost to s
    6·1 answer
  • What is the perimeter of the quadrilateral with 2 sides 3 inches, 1 side 2.2 inches and another side 4.1 inches?
    12·1 answer
  • The amount of money in an account may increase due to rising stock prices and decrease due to falling stock prices. Marco is stu
    12·1 answer
  • Pls can someone help me‼️‼️‼️‼️<br> and I don’t want files.
    10·1 answer
  • Which other expression has the same value as (-14)-(-8)
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!