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

What is 2.333333 in fraction form
Why does a pendulum eventually stop swinging?
What are enzymes also known as? What do enzymes do to biological reactions? What do we call the special shape on an enzyme molecule? What are enzymes made of? W
what does the agora tell us about the culture of athens?
what are two human uses for mosses?
List two factors that might cause an organism to restrict its use of a resource.
A box contains bags of crisps. Each bag of crisps weighs 25 grams. Altogether, the bags of crisps inside the box weigh 1 kilogram. How many bags of crisps are i
What are enzymes also known as? What do enzymes do to biological reactions? What do we call the special shape on an enzyme molecule? What are enzymes made of? W
If the function h(x) represents the number of full hours that it takes a person to assemble x sets of tires in a factory, which would be an appropriate domain f
What are 2 numbers that when multiplied together you get 360 and when added together you get -96