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
Iteru [2.4K]
3 years ago
11

The perimeter of the triangle shown are equal. Find the side lengths of each triangle.

Mathematics
2 answers:
Lunna [17]3 years ago
6 0

Good morning ☕️

___________________

Step-by-step explanation:

Let p1 be the perimeter of triangle ABC

p2 be the perimeter of triangle PQR

p1=(2x+4)+(2x+3)+(2x) = 6x+7

p2=(2x)+(2x)+(3x+1) = 7x+1

p1=p2 ⇔ 6x+7=7x+1 ⇔ 7x-6x=7-1 ⇔x=6

Then :

AC=2(6)=12

AB=2(6)+4=16

BC=2(6)+3=15

PQ=12

QR=12

PR=3(6)+1=19.

_____

:)

Licemer1 [7]3 years ago
5 0

Answer:

12,16,15 and 12,12,19

Step-by-step explanation:

Hello,  I think I can help you with this.

the perimeter of a triangle is the sum of its three sides

Perimeter = side1+side2+side3

Step 1

Perimeter1=(2x+4)+(2x+3)+2x

P1=2x+4+2x+3+2x

P1=6x+7

Step 2

Perimeter2=2x+2x+(3x+1)

P2=2x+2x+3x+1

P2=7x+1

Step 3

find x,

P1=P2

6x+7=7x+1

7-1=7x-6x

6=x

x=6

Step 4

replace the value of x to find each side length

triangle1(left)

2x=2(6)=12

<u>2x=12</u>

2x+4=12+4=16

<u>2x+4=16</u>

2x+3=12+3=15

<u>2x+3=15</u>

triangle2(right)

2x=2(6)=12

<u>2x=12</u>

3x+1=3(6)+1=18+1=19

3x+1=19.

Have a great day

You might be interested in
Help with pre algebra
olganol [36]

Answer:

The y-axis.

Step-by-step explanation:

This is because it is mirroring across the y-axis, and the x-coordinate's sign is getting changed from positive to negative.

4 0
3 years ago
Read 2 more answers
Which of the following graphs shows the<br> solution set to 2x &lt; 6 and 3x + 2 &gt;<br> -4?
Ilya [14]

Answer:

The third picture

Step-by-step explanation:

Solve for x in both equations

2x<6

Divide both sides by 2:

x<3

3x+2>-4

Subtract 2 from both sides:

3x>-6

Divide both sides by 3:

x>-2

There is this trick you can use when x is on the left side of the equation to find out which way to shade in you graph. Keep in mind this is only for the left side, it will not work if your variable is on the right.

When the symbol is facing left < then shade left, imagine it is pointing which way to shade. x<3 is represented by the 3 picture on the left. When the symbol is facing right > then shade right, again it is pointing which way to shade. x>-2 is represented by the 3 picture on the right.

The circles are not filled in because the symbol is < and > rather than \leq  and \geq. When it is greater than or equal to or less than and equal to (represented by the line under the symbol), then the circle is shaded in.

5 0
2 years ago
Solve the absolute value inequality: |x + 12| + 5 &lt; 27 Isolate the absolute value by subtracting 5 from both sides.
Feliz [49]

Answer:

- 34 < x < 10

Step-by-step explanation:

Inequalities of the type | x | < a, always have a solution of the form

- a < x < a

given | x + 12 | + 5 < 27 ( subtract  5 from both sides )

| x + 12 | < 22, then

- 22 < x + 12 < 22 ( subtract 12 from all 3 intervals )

- 34 < x < 10


8 0
3 years ago
Read 2 more answers
Rational, irrational numbers
liberstina [14]
Page from ready workbook, it’s about rational numbers
5 0
3 years ago
18/25 equals 126/?<br><br>Help, my dudes!<br><br>What does that question mark represent?
kap26 [50]

Answer:

the "?" represents the number 175

Step-by-step explanation:

126/18=7

so, you would multiply the 25 by 7 to get 175

hope this helps!

4 0
3 years ago
Other questions:
  • 50 ÷ (-5) =<br><br><br> Please simplify
    8·1 answer
  • Antoine and Tess have a disagreement over how to compute a 15% gratuity on $46.00. Tess says, “It is easy to find 10% of 46 by m
    10·1 answer
  • Solve The Triangle (See Picture!!)
    14·1 answer
  • The leader of two postpartum women’s support groups is interested in the depression levels of the women in her groups. She admin
    6·1 answer
  • A company sells cereal in two different-sized boxes: a 17-ounce box for $2.89, and a 24-ounce box for $3.29. How do the unit pri
    5·1 answer
  • What is the product of (−4)⋅(−4)⋅(−4)⋅y⋅y using exponents
    13·1 answer
  • Please help ASAP! Geometry gotta find the angle measures.
    10·1 answer
  • Can someone answer these questions? I know it’s a lot but please can someone answer them? No scams and I will mark brainliest if
    14·2 answers
  • The equation for the line shown in the graph below is y= 2x + b in slope intercept form.
    6·1 answer
  • How do you solve 33 + 27.2 – (6.8 + 24) – 3.1 i need it for an paper im doing and need to show my work
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!