siristhor siristhor
  • 21-05-2021
  • Mathematics
contestada

If cos(2/3x+20)°=sin(2x−10)°, find the acute angles of the corresponding right triangle.

A =
B =

Respuesta :

reeserl reeserl
  • 21-05-2021

Answer:

A = 40°

B = 50°

Step-by-step explanation:

If cos A = sin B, then A + B = 90

So, 2x/3 + 20  + 2x - 10 = 90

      2x + 60 + 6x - 30 = 270

               8x + 30 = 270

                       8x = 240

                          x = 30

2x/3 + 20 = 60/3 + 20 = 20 + 20 = 40

2x - 10 = 2(30) - 10 = 60 - 10 = 50  or  90 - 40 = 50

       

Answer Link

Otras preguntas

what is when you divide 33-55 divide by 11 will egual
can you help me on problem 1 of Three-Dimensional Figures
What made Poseidon so angry with Odysseus?
. Which of the following statements about President Andrew Johnson is true? A. He was well educated, but he was a poor stump speaker. B. He defended th
algebra 2 logarithms ln(4x-1)=9
Who was Dona Marina? a. The god of disease c. The ruler of the Taino b. A bi-lingual guide d. A missionary
Which religion celebrates Yom Kippur and Hanukkah? Hinduism Judaism Islam Buddhism
can you help me on problem 2 of poetry I want to plant some flowers to brighten up my lawn; I'll sit and watch for hours, the pretty, bursting blooms. I'll star
Why were “separate but equal” schools often unfair to African Americans?
Was the Japanese attack on Pearl harbor a success or failure from the Japanese point of view?