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OlgaM077 [116]
2 years ago
11

What is the measure of A

Mathematics
1 answer:
Rainbow [258]2 years ago
3 0

Given:

A figure of a triangle.

To find:

The measure of angle A.

Solution:

Label the points in the figure as shown below.

In the below figure,

\angle ACB\cong \angle DCE            (Vertically opposite angles)

m\angle ACB=m\angle DCE              (Congregant angles)

m\angle ACB=8x+4

Using exterior angle theorem in triangle ABC, we get

m\angle A+m\angle C=\text{Exterior }m\angle B

m\angle BAC+m\angle ACB=130^\circ

(3x-6)+(8x+4)=130^\circ

11x-2=130^\circ

Isolate the variable term x.

11x=130^\circ+2

11x=132^\circ

x=\dfrac{132^\circ}{11}

x=12^\circ

Now, the measure of angle A is:

m\angle A=3x-6

m\angle A=3(12^\circ)-6

m\angle A=36^\circ-6

m\angle A=30^\circ

Therefore, the correct option is B.

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Answer:

graph{y>2/3x-1 [-10, 10, -5, 5]}

Explanation:

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graph{2/3x-1 [-10, 10, -5, 5]}

However, we are graphing an inequality so we're gonna have to shade either the area above the line or below the line. First, let's look at the inequality symbols.

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If the inequality includes equal to, then the line will be solid. If not, then the line will be dotted. Since the inequality y>23x−1 doesn't contain the equal to, the line will be dotted.

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graph{y>2/3x-1 [-10, 10, -5, 5]}

5 0
3 years ago
I will give brainlest please explain and answer
OLga [1]

Answer: the answer is D.

Step-by-step explanation:

8 0
3 years ago
The coordinate plane shows the floor plan for a swimming pool. What is the area of the pool's border?
LekaFEV [45]

Answer:

  border area: 100 m²

Step-by-step explanation:

The area of the pool border will be the overall area of the pool and boder, less the area of the pool. The area of each rectangle is the product of its length and width. The length and width of each can be found using the Pythagorean theorem.

__

<h3>Pythagorean Triple</h3>

The triple (3, 4, 5) is called a Pythagorean triple, because ...

  3² +4² = 5²

That is, a triangle with sides of lengths 3, 4, and 5 will be a right triangle with a hypotenuse of length 5.

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<h3>Application to Pool/Border Dimensions</h3>

We notice that the sides of the rectangles in the figure have a rise/run of ±3/4 or ±4/3. In each case, the side of the rectangle is the hypotenuse of a triangle with dimensions a multiple of 3 or 4 meters. Hence the hypotenuse (rectangle side length) is the corresponding multiple of 5 meters. The attachment illustrates this point, showing a triangle with sides that are (6, 8, 10), 2 times the basic triple.

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  A = LW = (10 m)(5 m) = 50 m²

The overall area is 10 m by 15 m, for an area of ...

  A = (15 m)(10 m) = 150 m²

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<h3>Border Area</h3>

The pool's border is the difference between the overall area and the pool area:

  150 m² -50 m² = 100 m² . . . . area of pool's border

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2 years ago
Which could be the length of the third side of a triangle with side lengths 3ft and 9ft? explain
lakkis [162]
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3 years ago
Sum of exactly two terms that is equivalent to 3(6x + 9y).
Ronch [10]

Answer:

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Step-by-step explanation:

6 0
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