The angles opposite equal sides are also equal. The sum of angles in a triangle is 180. So 2x + 27 + 2x + 27 + 3x + 28 = 180.

7x + 82 = 180
7x = 98
x = 14

Now plug x into each angle to find their measures.

6 0

3 years ago

Twice the sum of 15 and a number

pashok25 [27]

2(15+N)

replace a number by N

replace the sum of 15 and N by (15+N)

and lastly, replace twice by 2

So your answer is 2(15+N)

7 0

3 years ago

Read 2 more answers

verbally explain how to obtain the graph of the quadratic function f(x)=-2(x+3)^2-4 from the graph of y=x^2.

Ksivusya [100]

Answer:

The graph f(x)= $-2(x+3)^2-4$ is a reflection over the x-axis, vertical stretch by a factor of 2, a horizontal translation left 3 units and a vertical translation 4 units down of the graph y= $x^2$ .

Step-by-step explanation:

The graph f(x) is reflected over the x-axis because the negative is outside of the parenthesis.

it's a vertical stretch by a factor of 2 because 2 is outside of the parenthesis and is greater than 1.

(x+3) is a horizontal translation left 3 units because it is inside the parenthesis.

-4 is vertical translation 4 units down because it is outside of the parenthesis.

7 0

3 years ago