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

round 32.697 to the nearest hundredths
In "Marian Anderson Sings," why does Anderson finally accept the invitation to sing at the Lincoln Memorial on Easter?
what is 12.09 and 9.88 rounded to the nearest hundreth
Phil has 50 nickels and dimes worth $4.15. How many of each coin does he have?
Why was America important to both sides in the conflict between England and France, and what role did the Americans hope to play in the struggle?"
Please can someone help me on these?solve this equation by factorising:2x^2 + 5x + 2 = 0 Solve this equation by completing the square: x^2 - 4x + 1 = 0
For a fundraiser , Brad sold 2 less than 3 times the number of candy bars calls that Mary did . If they sold 334 total bars, find the number sold by each . Show
what was the battle cry of the colonists
how are simple cations and anions named ?
Why was America important to both sides in the conflict between England and France, and what role did the Americans hope to play in the struggle?"