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AfilCa [17]
2 years ago
12

The perimeter of the triangle at right is 52 units. Write and solve an equation based on the information in the diagram. Use you

r
solution for to calculate the length of each side of the triangle. Be sure to confirm that your answer is correct. Homework Help
7x-4/
19
Equation:
Solve: z
10x + 3
Length of each side:
Red side:
7x - 4
19
Blue Side:
Yellow Side:
10r+3
(hp

Mathematics
1 answer:
marysya [2.9K]2 years ago
3 0

Answer:

  • equation: (7x-4) +19 +(10x+3) = 52
  • x = 2
  • red: 10
  • blue: 19
  • yellow: 23

Step-by-step explanation:

The equation is based on the relation that the perimeter is equal to the sum of the side lengths.

  P = red + blue + yellow

  52 = (7x -4) +(19) +(10x +3)

  52 = 17x +18 . . . . . . . . . . . . . . simplify

  34 = 17x . . . . . . . . . . . . . subtract 18

  2 = x . . . . . . . . . . . . divide by 17

__

  red = 7(2) -4 = 10

  blue = 19

  yellow = 10(2) +3 = 23

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Reptile [31]

Answer:

x=10

Step-by-step explanation:

We can use the Pythagorean theorem to find x

The height meets the base at a right angle

The base is bisected ( cut in half) so the base is 6 the height is 8

a^2 + b^2 = c^2

6^2 + 8^2 = x^2

36+64 = x^2

100 = x^2

Taking the square root of each side

sqrt(100) = sqrt(x^2)

10 = x

4 0
2 years ago
Read 2 more answers
CRITICAL THINKING The total area of the polygon is 176 square feet. What is the value of $x$ ?
Katarina [22]

Answer:

x = 6

Step-by-step explanation:

this figure involves two triangle and one rectangle

for area of rectangle= Length * Width = 16 * 8 = 128 feet^2

for area of one triangle = 1/2 * base * height = 1/2 * x *8 = 4x

for two triangles = 8x ft^2 total

whole area = two triangles + one rectangle

176 = 8x + 128

8x =48

x = 6

8 0
2 years ago
PLEASE HELP ME!! I can’t figure this out
DochEvi [55]
Hello!

The problem has asked that we write a point-slope equation of the line in the image above. Point-Slope Form uses the following formula:

y – y_{1} = m(x – x_{1})

In this case, M represents the slope while X_{1} and Y_{1} represent the corresponding X and Y values of any given point on the line.

We are given that the slope of the line is -\frac{5}{7}. We also know that any given point on a graph takes the form (x,y). Based on the single point provided in the image above, we can determine that X_{1} is equal to 6 and Y_{1} is equal to 2. Now insert all known values into the point-slope formula above:

y – 2 = -\frac{5}{7}(x – 6)

We have now successfully created an equation based on the information given in the problem above. Looking at the four possible options, we can now come to the conclusion that the answer is C.

I hope this helps!

7 0
3 years ago
!!help!!
IrinaVladis [17]

Answer:

3x

x

+

2

x

−

(5)(8)x

x

+2

=

−35x+2

x

Step-by-step explanation:

4 0
3 years ago
What is the due date of a 190-day loan made on March 12?
sasho [114]

Answer:

September 18 is the due date

Step-by-step explanation:

the rest of March = 19 days

April has 30

may has 31

june has 30

july has 31

and August has 31 also

...if we add all of those days it equals to 172 days....u need approximately 18 more days to make the 190 days (due date) ;take 18 days out of September ....making the due date the 18th of September

6 0
3 years ago
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