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
MrRissso [65]
3 years ago
9

triangle QRS is an equilateral triangle if QR is 7 less than twice X RS is 61 less than 5 times x and QS is 11 more than x find

X and the measure of each side

Mathematics
2 answers:
Katarina [22]3 years ago
4 0

Answer:

QR=RS=QS=29    

Step-by-step explanation:

Given QRS is an equilateral triangle, thus all the three sides of the given triangle will be equal.

Also, from the given statement, we have

QR=2x-7, RS=5x-61 and QS=11+X

Now, As all the sides of the triangle are equal, therefore

QR=RS=QS

⇒QR=RS

⇒2x-7=5x-61

⇒-7+61=5x-2x

⇒54=3x

⇒x=18

Thus, the measure of QR=2(18)-7=29,RS=5(18)-61=29 and QS=11+18=29.

wel3 years ago
4 0

Answer: The answer is 29 units.


Step-by-step explanation:  As given in the question and shown in the attached figure, ΔQRS is an equilateral triangle, where the measure of the sides are given in the form of an unknown variable 'x' as follows.

\textup{QR}=2x-7,~~\textup{RS}=5x-61,~~\textup{QS}=x+11.

Since the triangle is an equilateral one, so all the sides must be equal to one another. So, we have

\textup{QR}=\textup{RS}\\\\\Rightarrow 2x-7=5x-61\\\\\Rightarrow 5x-2x=61-7\\\\\Rightarrow 3x=54\\\\\Rightarrow x=18.

Therefore,

\textup{QR}=2x-7=2\times 18-7=36-7=29.

Since, QR = RS = QS, so measure of each side is 29 units.

Thus, the answer is 29 units.


You might be interested in
The length of a swimming pool is 4 feet longer than 2 times its width. If the perimeter of the pool is 128 feet, what is the wid
alexandr1967 [171]
P = 2(L + W)
P = 128
L = 2W + 4

128 = 2(2W + 4 + W)
128 = 2(3W + 4)
128 = 6W + 8
128 - 8 = 6W
120 = 6W
120/6 = W
20 = W <=== width is 20 ft

L = 2W + 4
L = 2(20) + 4
L = 40 + 4
L = 44 <=== length is 44 ft
5 0
4 years ago
This Is challenging I hope you can figure it out
max2010maxim [7]

Answer:

980 hers your proof so 170 * 7 =180

Step-by-step explanation:

3 0
3 years ago
Anna cut a right triangle from a piece of fabric. The legs of the triangle measure 9 centimeters (cm) and 12 cm. What is the
Andrei [34K]

Answer:

15 centimeters

4 0
3 years ago
Stanley bought some tins and decided to fill them with brownies to give to his friends. Stanley baked 471 brownies. He put 9 bro
Temka [501]

3 brownies left over :) he filled 52 tins

8 0
3 years ago
A salesperson earns commission on the sales that she makes each mouth.The sales person earns a 5% commissions on the first $5,00
Maslowich
She makes 5% on 5000 and 7.5% on the other 3000.

0.05 x 5000= 250
0.075 x 3000= 225

Add 250 and 225

She earns $475 in all.
4 0
3 years ago
Other questions:
  • Adriano wants to get a new cell phone plan. Company A: $80 for a new phone in the monthly fee of $45 a month. Company B: she can
    5·1 answer
  • A bottle of cologne cost $19.98. The amount of sales tax is $.99. How much money should the customer pay the clerk for the colog
    11·2 answers
  • In Asad's class, 4/5 of the students like cake. Of those, 2/3 like chocolate cake. What ftaction of Asad's class likes chocolate
    9·1 answer
  • Subtract. <br> –84 – 55<br> a. –29<br> b. –139<br> c. 29<br> d. 139
    12·1 answer
  • Monica scored 32 points for her team at team at the Science Bowl. She got 5 four-point question correct, and the rest of her poi
    8·2 answers
  • A carpenter has a board that is 8 feet long. He cuts off two pieces. One piece is 3 1/2 feet long and the other is 2 1/3 feet lo
    14·1 answer
  • What is the value of tan x ?
    8·1 answer
  • The teen shop stores sweaters in boxes there are 2 sweaters in the first box 4 sweaters in the second box 6 sweaters in the thir
    5·1 answer
  • A grade has 81 girls and 72 boys. The grade is split into groups that have the same ratio of girls to boys as the whole grade.Ho
    8·1 answer
  • What is 1/3 plus 1/2 in fraction form
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!