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harina [27]
3 years ago
6

If ∠1 and ∠2 are complementary angles, ∠1 and ∠3 are vertical angles, and m∠2 = 36°, find m∠3.

Mathematics
1 answer:
Vedmedyk [2.9K]3 years ago
4 0

Answer:

28>

Step-by-step explanation:

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A case of Mountain Dew (24 cans) cost $7.68. What is the unit price?
Westkost [7]
0.32 cents for each unit because if you divide 7.68 by 24 it is 0.32
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3 years ago
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Which quadratic equation has solutions x=8 and x=−1?
andrezito [222]
There are two ways you can do this

Using the formula


{x}^{2}  - (sum \: of \: roots)x + poduct \: of \: roots = 0

{x}^{2}  - (8+-1)x +  - 1 \times 8 = 0


{x}^{2}  - 7x  - 8 = 0


Working backwards


x = 8 \: or \: x =  - 1
\Rightarrow x-8=0  \: or  \: x+1=0

\Rightarrow (x-8)(x + 1)=0
\Rightarrow  {x}^{2}   + x -8x - 8 = 0
\Rightarrow  {x}^{2}  - 7x - 8 = 0
7 0
3 years ago
Angie mows lawns in her neighborhood to make money. She charges $25 per lawn and buys a new mower for $200. If x is the number o
natali 33 [55]

Answer: Angie's profit equation is 25x−200=p

Step-by-step explanation:

Let x represent the number of lawns that Angie mows in her neighborhood.

Let p represent the profit made by mowing x lawns.

Profit = Revenue - cost

She charges $25 per lawn. This means that the amount charged for x lawns = 25×x = 25x

So her revenue is 25x

She buys a new mower for $200. Thus, the cost is $200. Therefore, Angie's profit,p is expressed as

p = 25x - 200

7 0
2 years ago
Solve this expression 8÷2*5+(6-4)
Annette [7]

Value of expression \frac{8}{2}(5) + (6-4) is 22 .

<u>Step-by-step explanation:</u>

Here we have the following expression to solve :

8÷2*5+(6-4)

⇒ (8/2)*5 + (6-4)

⇒ \frac{8}{2}(5) + (6-4)

But 8 = 4(2) , So

⇒ \frac{4(2)}{2}(5) + (6-4)

⇒ 4(5) + (6-4)

⇒ 20 + (6-4)

⇒ 20 + 2

⇒ 22

Therefore, Value of expression \frac{8}{2}(5) + (6-4) is 22 .

6 0
3 years ago
Gideon is painting all sides of a square pyramid-shaped decoration at the top of his fence post. A net of the decoration is show
frez [133]
Gideon is painting all sides thus we find the overall area of the square pyramid given in the picture. A square pyramid is a polyhedron that consists of a square and 4 triangles. To solve the area that Gideon will have to paint, we can calculate the area of the square and the area of the triangles then add these two values of area. We proceed as follows:
Area of the square = s^2 where s is the measure of the side
Area of the square = 4^2 = 16 in^2

Area of the triangle= 1/2 bh where b is the base of the triangle and h is height of the triangle
Area of the triangle = 1/2 (4) (5) = 10 in^2
We multiply the area of the triangle to four in order to obtain the total area of the triangles.
Total area of the triangles = 4 x 10 = 40 in^2

We then add the two areas,
Total Area = 16 + 40 = 56 in^2

Thus the total area that Gideon will have to paint for one square pyramid is 56 in^2.
6 0
3 years ago
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