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Harman [31]
2 years ago
13

Solve for x. The problem is in the picture!

Mathematics
1 answer:
Harrizon [31]2 years ago
4 0
<h2>Question:- Solve for X </h2>

<h3>Given:- </h3>

According to the diagram:-

  1. Angle D = (6x+ 8)°
  2. Angle E = (5X+8)°
  3. Exterior angle C = 82°

<h2>Answer:- </h2>

<h3>Exterior angle property:- </h3>

Exterior angle is equal to the sum of two opposite interior angle

<h3>ATQ :- </h3>

\angle D +  \angle \: E = ext  \angle C \\ 6x + 8 + 5x + 8 = 82 \\ 11x + 16 = 82 \\ 11x = 82 - 16 \\ 11x = 66 \\ x =  \frac{66}{11}  \\ x =  \frac{ \cancel{66}^{ \:  \: 6} }{ \cancel{11} } \\ x = 6

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3 years ago
A 72° sector in a circle has an area of 16.4π yd². What is the area of the circle? Use 3.14 for pi.
Dmitry [639]
The area of a sector of a circles is calculated by the equation A = πr^2 (theta/360). From the data of the sector, we determine the radius of the circle. THen, we can calculate for the area of the circle.

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r = 9.06

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6 0
3 years ago
PLZZZZ HELP WITH THIS QUESTION
Sauron [17]

A. 1/5 fish

We know that 2/5 of Mike's fish are clownfish. Therefore, 3/5 are not clownish as 5/5 – 2/5 = 3/5. Also, if you look at the model, there are five pieces. If we assume that model represents the whole of Mike's fish and you take away two pieces, you are left with 3/5. So we know that the remaining fish is 3/5

Next, we know that of these 3/5 fish, 1/3 is damselfish, so we need to find 1/3 of 3/5. To do this, we must multiply 1/3 by 3/5 as "of" means multiply in Math.

So: 1/3 • 3/5 = 1 • 3/3 • 5 = 3/15       3 ÷ 3 = 1 and 15 ÷ 3 = 5    3/15 = 1/5

1/5 of Mike's fish are damsel fish


B. 2/5 fish

Now we know that 1/5 of Mike's fish is damselfish, and 2/5 is clownfish. To find the fraction of his fish that are neither, therefore, we must subtract their sum from the whole.

First, we add 1/5 and 2/5 together. Adding the numerators, 1 and 2, we get 1/5 + 2/5 = 3/5

Next, we subtract: 5/5 – 3/5 = 2/5, so 2/5 of his fish are neither clownfish or damselfish

And if you look at the model again, you can see that if you cross out 1 piece for the damselfish, and 2 pieces for the clownfish, you are left with 2/5

8 0
3 years ago
Which of the following expressions are equivalent to -19/8 x(-50)
dmitriy555 [2]

1. Move the negative sign to the left.

-
\frac{19}{8}X*-50

2. Use this rule: \frac{a}{b}*\frac{c}{d}=\frac{ac}{bd}

-\frac{19x*-50}{8}

3. Simplify -  \frac{-950x}{8}

4. Move the negative sign to the left.

-(-950x/8)

5. Simplify 950x/8 to 475x/4

6. Remove parentheses.

5 0
2 years ago
Dana says that all even numbers are composite.<br><br> Is she correct?
Ksenya-84 [330]

Answer:

yes

Step-by-step explanation:

all even numbers greater than two are composite numbers

8 0
3 years ago
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