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Elden [556K]
3 years ago
14

Which formula will tell that? See attachment.

Mathematics
1 answer:
kaheart [24]3 years ago
5 0
The answer will be A
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Which statement is true about the angles?
liq [111]

Complete Question:

Triangle abc has the angle mesausres shown.

m<A = (2x)°

m<B = (5x)°

m<C = (11x)°

Which statement is true about the angles?

A. m<A = 20°

B. m<B = 60°

C. m<A and m<B are complementary

D. m<A + m<C = 120°

Answer:

A. m<A = 20°

Step-by-step explanation:

m<A + m<B + m<C = 180° (sum of interior angles of a triangle)

2x + 5x + 11x = 180 (substitution)

Solve for x. Add like terms.

18x = 180

Divide both sides by 18

\frac{18x}{18} = \frac{180}{18}

x = 10

Find the measure of each angle by substituting x = 10:

m<A = (2x)° = 2(10) = 20°

m<B = (5x)° = 5(10) = 50°

m<C = (11x)° = 11(10) = 110°

Therefore, the only true statement is:

A. m<A = 20°

3 0
3 years ago
Read 2 more answers
The diagram below shows a rectangle with a shaded region. What is the area, in square meters, of the shaded region in the diagra
Mila [183]

Answer:

Step-by-step explanation:

Area of shaded region= area of rectangle- area of triangle

Area of rectangle= l×b

                            =9×3

                            = 27m²

Area of triangle= \frac{1}{2} b×h

                        =\frac{1}{2} ×3×3

                        =\frac{9}{2} ⇒4.5

Area of shaded region= area of rectangle- area of triangle

                                     =27-4.5

                                     =22.5m²

5 0
2 years ago
Solve the system of equations. If a system has one unique solution, write the solution set. Otherwise, determine the number of s
Sauron [17]

The value of x, y and z from the system of equation are -1, -8 and 5 respectively.

Data;

  • -2x + 6y + 3z = -31
  • -3y + 7z = 59
  • 2z = 10

<h3>System of Equation</h3>

To solve this problem, we have to solve the system of equation using substitution method.

From equation (iii)

2z = 10\\z = 5

let us substitute the value of z into equation (ii)

-3y + 7z = 59\\z = 5\\-3y + 7(5) = 59\\-3y + 35 = 59\\-3y = 59 - 35\\-3y = 24\\y = -8

Let's substitute the value of x and y into equation (i)

-2x + 6y + 3z = -31\\y = -8, z = 5\\-2x + 6(-8) + 3(5) = -31\\-2x - 48 + 15 = -31\\-2x - 33 = -31\\-2x = -31 + 33\\-2x = 2\\x = -1

From the calculation above, the value of x, y and z are -1, -8 and 5 respectively.

Learn more on system of equations here;

brainly.com/question/14323743

6 0
2 years ago
Haley placed 5 of the bookmarks end to end Draw a point on the number line below to represent the total length of the 5 bookmark
Liula [17]
<-------------.-------------->
  0 1 2 3 4 5 6 7 8 9 10
5 0
3 years ago
A lake initially contains 3000 fish. Suppose that in the absence of predators or other causes of removal, the fish population in
katrin [286]

Let x = number of months.

Let y = total number of fish in pond.

6% of 3,000 = 180 fish

We can use an equation to help us with this problem.

y = 3,000 + 180x - 400x. Combine like terms.

y = 3,000 - 220x. Plug 9 in for x.

y = 3,000 - 220(9). Solve for y

y = 1,020.

There are 1,020 fish in the pond after 9 months.

7 0
3 years ago
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