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
rasheed is buying wings and quesadillas for a party. A package of wings costs $8. A package of quesadillas costs $10. He must sp
Alexus [3.1K]
4 packages of wings and 4 packages of quesadillas
5 0
3 years ago
Read 2 more answers
Graph the equation y=-1(x-3)^2+4
Elena L [17]

Answer:

Direction : Open Down

Vertex : (3,4)

Focus : (3,15/4)

Axis of Symmetry : x=3

Directrix : y=17/4

x : 1,2,3,4,5

y : 0,3,4,3,0

Step-by-step explanation: Graph the parabola using the direction, vertex, focus, and axis symmetry. Graph is included down below!

Hope this helps you out! ☺

3 0
3 years ago
Find the measure of 41.<br> s<br> 839<br> 41<br> 41 = [?]
Mila [183]

<1=97°

steps:

<1+83=180 co interior angle

<1=180-83=97°

5 0
3 years ago
Whats 2400000 as a standard form
frosja888 [35]

Answer:

2 400 000

Step-by-step explanation:

is that right? not sure wut u were looking for

3 0
3 years ago
In Exercise,solve for<br> 0 &lt; x - 5
uysha [10]

Answer:

x > 5

Step-by-step explanation:

0 < x-5. Add 5 to both sides...

+5 +5

5 < x Rearrange answer

x > 5

3 0
3 years ago
Other questions:
  • Determine whether the given value is a solution of the equation x over nine=4; x=36
    9·2 answers
  • Solve for x. Enter your answer as a whole number or reduced fraction.<br><br><br><br> x = ___ a0
    12·1 answer
  • Solve for x.<br><br> please help me
    7·1 answer
  • You deposit $100 in an account earning 4% interest compounded annually. How much will you have in the account in 10 years? Round
    9·1 answer
  • Two Friends share 3 Fruit bars equally. How much does each friend get?
    8·1 answer
  • Solve for g <br> 4(g-1)+2(g+5)=36
    11·2 answers
  • What is the equation of this graphed line? Enter your answer in slope intercept form in the box.
    5·1 answer
  • The ratio of the prices of Emma's phone to Sophie's phone is 7:8. If Sophie's phone costs $640, how much should the prices of th
    8·1 answer
  • What is the relationship between Angle DXA and Angle AXB?
    15·1 answer
  • Find the greatest common factor.<br> 42²x² + 42²x+ 40²<br> Enter the correct answer.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!