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
Studentka2010 [4]
3 years ago
7

Angle QRS is an equilateral triangle. If QR is seventeen more than twice X, RS is 19 less than six times x, and QS is one less t

han four times x, find x and measure each side.
Mathematics
1 answer:
Aleksandr [31]3 years ago
7 0

Answer:

The value of x is 9 ,  

And The measure of each sides of equilateral i.e QR , RS , QS is 35  .

Step-by-step explanation:

Given as :

Triangle QRS is an equilateral triangle  

The side of triangles are , QR , RS , QS

Now, According to question

QR = 2 x + 17

RS  = 6 x - 19

QS = 4 x - 1

∵ The Triangle is equilateral , then all sides are equal

So , QR = RS = QS

Or, 2 x + 17 = 6 x - 19 = 4 x - 1

Now, 2 x + 17 = 6 x - 19

So, 17 + 19 = 6 x - 2 x

Or, 36 = 4 x

∴   x = \frac{36}{4}

I.e x = 9

So, the measure of side QR = 2 x + 17 = 2 × 9 + 17

Or, the measure of side QR = 35

The measure of side RS  = 6 x - 19 = 6 × 9 - 19

Or, The measure of side RS  = 35

The measure of side QS =  4 x - 1 = 4 × 9 - 1

Or , The measure of side QS = 35

Hence The value of x is 9 ,  

And The measure of each sides of equilateral i.e QR , RS , QS is 35  . Answer

You might be interested in
Joe biked the following distances this past week to train for a triathlon. Joe biked 37 miles, 88 miles, 44 miles, 54 miles, 62
Artyom0805 [142]

Answer:

The median is 50.

Step-by-step explanation:

First you put all the numbers in order. (37, 44, 46, 54, 62, 88) then you look for the middle number. Since there is two middle numbers, you add them together then divide it by 2.

So 46+54= 100

100/2= 50

8 0
3 years ago
A square piece of paper 10 cm on a side is rolled to form the lateral surface area of a cylinder and then a top and bottom are a
Anika [276]

Answer:

The surface = pi*10cm2

Step-by-step explanation:

The area of any rectangle is Base *  Height,

We know that the square originally has 10cm High, when is rolled to form a cylinder, it's new shape has a bottom side that is equals to a circle.

The length of a circle is 2*pi*Radio= pi*Diameter.

Since the square has the same length in each side, we know that pi*Diameter= 10cm*pi

The surface (area) of the cylinder is= Base * Height= 10cm*10cm*pi

 

6 0
3 years ago
Victoria works at the Apple Store. She is paid
Greeley [361]

Answer:

hdjebejdbydvdfdvgdgbehdbdjgdjd

4 0
3 years ago
Read 2 more answers
What is the solution to the equation 26=-d+6
Likurg_2 [28]
I believe the answer you are looking for is -20. 
7 0
3 years ago
Read 2 more answers
Plz helpppp:Tammy conducted a survey to find the favorite subject of the students at her school. She asked 25 students from her
alexira [117]

Answer: Tammy's sample may not be vaild because she surveyed the students only from her class and it is likely that other classes might not like the subject maths. She might get the accurate results by surveying a larger number of people in the school instead of just her class.

3 0
3 years ago
Other questions:
  • What's the answer to 4n - 9 = -9
    5·2 answers
  • Is 25/40 proportional to 15/24
    15·2 answers
  • I need to solve this problem
    13·1 answer
  • Elisa won 40 lollipops playing basketvall at the fair. She gave two to every student in her math class. She has at least 7 lolli
    13·1 answer
  • Can any body tell me the last 2 answers please <br>the last box and the cicle next to it
    11·2 answers
  • What is the slant height x of this square pyramid?
    13·2 answers
  • Lorenzo rides his bike at a rate of 5yards per second. about how many miles per hour can he ride his bike?
    10·1 answer
  • A baseball ticket costs $75, but they are having a
    11·2 answers
  • The following table shows the distance from Tessa's house to several different locations.
    10·1 answer
  • Which of these is equivalent to the expression below when x = 3?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!