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
xenn [34]
2 years ago
10

T

Mathematics
1 answer:
Marianna [84]2 years ago
7 0

Solution:

<u>Note that:</u>

  • AB = EF
  • BC = EG = 6x - 8
  • 7x - 19 = 2x + 11
  • Perimeter of triangle: 24 + 2x + 11 + 6x - 8

<u>Solving for x:</u>

  • 7x - 19 = 2x + 11
  • => 7x - 2x = 19 + 11
  • => 5x = 30
  • => x = 30/5 = 6

<u>Substitute the value of x into the expression (24 + 2x + 11 + 6x - 8): </u>

  • 24 + 2x + 11 + 6x - 8
  • => 24 + 2(6) + 11 + 6(6) - 8
  • => 24 + 12 + 11 + 36 - 8
  • => 24 + 12 + 3 + 36
  • => 75 units

The perimeter of the triangle ABC is 75 units.

You might be interested in
3. Which statements about the line that passes through (-2, 0) and (2, -4) are true?
diamong [38]

Answer:

B, C, and D.

Step-by-step explanation:

Let's go through each answer choice.

A: To find the slope of a line from two points, we use this formula: (y_2-y_1)/(x_2-x_1). Plugging in the values (-2,0) and (2, -4), we get:

  • (-4-0)/(2+2)
  • -4/4
  • -1

Because option A says the slope is 1, but we got -1, option A is false.

B: To find the y-intercept, we use this formula: b = y_1 - m * x_1

  • b = 0 -(-1) * (-2)
  • b = 1 * (-2)
  • b = -2  

Since we know the value of b is the y-intercept, we could write the y-intercept as (0,-2). Therefore, option B is true.

C: The equation of a line (in slope-intercept form) is y = mx + b, where y - y-coordinate, m = slope, x = x-coordinate, and b = y-intercept. Since we already solved for the y-intercept and slope, let's plug in those values:

  • y = mx +b
  • y = -x -2

As you can see, the equation we got here matches the one in option C, meaning it's true.

D: We know that a point is written like this: (x, y). If the x-coordinate is not zero but the y-coordinate is, then it's the x-intercept. Since the question says that (-2,0) is one of the points the line passes through, and option D says that the x-intercept is (-2,0), it's true.

8 0
3 years ago
Read 2 more answers
Similar triangles assignment
mestny [16]

Answer:

Not similar

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Which answer choice contains all the factors of 10
babunello [35]
OK so the factor of 10 is 1 times 10 and 5 times 2
3 0
3 years ago
I NEED HELP ASAP GIVE U 50 POINTS​
Dovator [93]

Answer:

37.5

Step-by-step explanation:

50+160=210.

210 is a 31.25% increase from 160

Multiply 120 by 1.3125 to get 157.5

subtract 120 from 157.5 to get a 37.5km increase or a 31.25% increase :)

4 0
2 years ago
2. 15 x 18 + 12 ÷ 3 + 9
brilliants [131]

Answer:

2. 283

3. 50

4. 23

5. 221

7. -152

6 0
3 years ago
Other questions:
  • The science class is taking a trip to the science center. there are 20 students and an unknown number of adult chaperones going.
    15·2 answers
  • Parallelogram ABCD is dilated to form parallelogram EFGH. Side BC is proportional to side CD. Which corresponding side is propor
    14·2 answers
  • Write statements to declare and initialize two variables: one, named element_number can hold any of the integer values 1 through
    7·1 answer
  • a car travels 360 kilometers in 5.2 hours (with a constant speed). How much time will it take traveling 291.6 kilometers?
    8·1 answer
  • The solution of the system of equations Ax+y=5 and Ax+By=20 is (2,-3). What are the values of A and B
    8·1 answer
  • Multiply the binomials using the box method. <br> (3x^3+2x)(x^3−5)
    9·1 answer
  • Which is the domain of the function f(x) =
    7·1 answer
  • Help ill get 1st place if right
    8·2 answers
  • What is the value of x?<br> Enter your answer in the box
    11·2 answers
  • Determine the slope of each line segment of quadrilateral F(-3,8), G(2,-1), J(-7,6), H(-2,-3)
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!