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Alekssandra [29.7K]
3 years ago
13

What is y equal to ?

Mathematics
1 answer:
Oksana_A [137]3 years ago
7 0
To find the answer for this question you need to first understand that 3 angles of a triangle make up 180 degrees. To make a triangle you want to cut the shape down from the 82 degrees to the degrees X. You then will be left with angle Y, a 90 degree angle, and the angle cut in half (which would be 41). You add 41 to 90 to get 131, and subtract that from 180 to get 49 degrees as your angle Y. Hope this helped <3
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To prepare for a triathlon, Amanda starts from position A and rides her bike along a straight road for 12 miles to reach positio
Sergio [31]

Answer:


Step-by-step explanation:

Let's draw the given information first for better understanding . Check the image attached.

We can use cosine rule to find the angles .

for angle A ,

Cos A =\frac{b^2+c^2-a^2}{2bc}

Cos A =\frac{20^2+12^2-15^2}{2*20*12}

Cos A =\frac{319}{480}

m∠A = 48.35 degrees

Similarly for angle B

Cos B =\frac{a^2+c^2-b^2}{2bc}

Cos B =\frac{15^2+12^2-20^2}{2*15*12}

Cos B =\frac{-31}{360}

m∠B = 94.94 degrees

Now use A+B+C=180 degrees

48.35+94.94+C=180

C=180-48.35-94.94

m∠C = 36.71 degrees

3 0
3 years ago
Read 2 more answers
A math teacher instructed students to graph the following equations on a coordinate plane. y=2.5x+2 and y=2x+4. If graphed corre
algol [13]

Both the graphical lines will intersect at (4,12)

Step-by-step explanation:

Step 1; We must find the point in the graph where the lines of y=2.5x+2 and y=2x+4 intersect. To find out the intersecting point we must substitute values of x in both equations and see in which co-ordinate they are the same.

Step 2; We plot various values of x on the line governed by the equation y=2.5x+2

For a value of x=1 , y=2.5(1) + 2 = 4.5

For a value of x=2 , y=2.5(2) + 2 = 7

For a value of x= 3, y=2.5(3) + 2 = 9.5

For a value of x= 4, y=2.5(4) + 2 = 12

For a value of x= 5, y=2.5(5) + 2 = 14.5

Step 3; Now we also plot the values of x on the other line governed by y=2x+4

For a value of x= 1, y=2(1) + 4 = 6

For a value of x= 2, y=2(2) + 4 = 8

For a value of x= 3, y=2(3) + 4 = 10

For a value of x= 4, y=2(4) + 4 = 12

For a value of x= 5, y=2(5) + 4 = 14

Step 4; For both lines we must see if any of the values repeat at a particular point. In this case at the point (4,12) repeats for both so that becomes the point of intersection.

8 0
3 years ago
Factor the expression. 9b2 – 25
rewona [7]

Answer: (3b + 5)(3b - 5)

Because both terms, 9b² and 25, are perfect squares, you can factor by taking the square roots of both terms.

The square root of 9b² is 3b (3b × 3b = 9b²).

The square root of 25 is 5 (5 × 5 = 25).

9b² - 25 has a negative, so the factored expression would be

(3b + 5)(3b - 5). The signs (+ and -) alternate in this case because the  expression, 9b² - 25, has no middle term.

You can check your work by using FOIL. See the attachment below.

F irst

O utside

I nside

L ast

5 0
3 years ago
Read 2 more answers
Julian wants her rectangular garden to cover an AREA of 180 square feet what bare the LENGTHS AND WIDTHS of two possible rectang
AlekseyPX
45 because 180 divided by 2=90 and 90 divided by 2= 45 because she needs area which is length times width= area and area divided by length or width= the other
5 0
3 years ago
The length of a swimming pool is 4 feet longer than 2 times its width. If the perimeter of the pool is 128 feet, what is the wid
alexandr1967 [171]
P = 2(L + W)
P = 128
L = 2W + 4

128 = 2(2W + 4 + W)
128 = 2(3W + 4)
128 = 6W + 8
128 - 8 = 6W
120 = 6W
120/6 = W
20 = W <=== width is 20 ft

L = 2W + 4
L = 2(20) + 4
L = 40 + 4
L = 44 <=== length is 44 ft
5 0
3 years ago
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