Since the big triangle is an isosceles one, we conclude that the angles of the left triangle are: 32, 90 and 3x-10. Sinche the sum of this angles have to be 180° we have:

$(3x-10)+32+90=180$

Solving for x, we have:

$\begin{gathered} (3x-10)+32+90=180 \\ 3x-10+32+90=180 \\ 3x=180+10-90-32 \\ 3x=68 \\ x=\frac{68}{3} \\ x=22.67 \end{gathered}$

Therefore, x=22.67 and the answer is A.

7 0

1 year ago

Which of the following expression is equivalent to sin(5x) ?

RSB [31]

$Use:\\sin(x+y)=sinxcosy+sinycosx\\-------------------------\\sin5x=sin(3x+2x)=sin3xcos2x+sin2xcos3x\\\\Answer:e)$

5 0

2 years ago

Read 2 more answers

Calculate the perimeter of the quadrilateral. Trapezoid

antoniya [11.8K]

I need to know the sides of the trapezoid in order to find the perimeter

8 0

3 years ago

Emily is entering a bicycle race for charity. Her mother pledges $0.40 for every 0.75 miles she bikes. If Emily bikes 21 miles,

lora16 [44]

Answer:

Her mother will donate $11.20

Step-by-step explanation:

$0.40 every 0.75 miles.
21 miles biked.

Step 1: Figure out how many 0.75 increments are in 21 miles.

21 ÷ 0.75 = 28

There are 28 increments of 0.75 in 21 miles.

Step 2: Multiply 28 by $0.40

28 * $0.40 = $11.20

4 0

3 years ago

Read 2 more answers