loracarpenterlvn loracarpenterlvn
  • 03-05-2022
  • Mathematics
contestada

Given ABC = DCB; m A= 45°; m ABC = 3x;
m DBC = 30 and m ACB = 4y + 2, find the values of x and y.

Given ABC DCB m A 45 m ABC 3x m DBC 30 and m ACB 4y 2 find the values of x and y class=

Respuesta :

MushroomOat
MushroomOat MushroomOat
  • 03-05-2022
Well, since the two triangles are congruent, angles DBC and ACB are equal to each other.
So, 30=4y + 2
Subtract 2, 28=4y
Divide by 4, 7 = y


Now since all angles in a triangle are equal to 180 you can do :
180 = (45 + 3x + 30)
Simplify, 180=3x +75
Subtract 75, 105 = 3x
Divide by 3, 35=x
Answer Link

Otras preguntas

Sally wants to fill ten 8 inch tea glasses. How much tea does she need?
solve the equation ax+b=c for x
emilio build and sells homemade wooden toy for $12 each the festival he is attending charges $50 to set up his Booth how much money will he earn if he sells 32
the digit 5 in the number 9645 represents a value that is ____ times as large as the digit 5 in the number 62,594 A
can anyone help me with this pls? i have no idea what im doing
Is geometry taught multiple ways ?
In the book thief how did death characterize the year 1942
How does photosynthesis help plants meet their basic needs?
Given cos A = -.45 find angle A in degrees. Round your answer to the nearest hundredth.
Q # 10 please. help me. to resolve