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

The three important reasons for studying history are _____.
if an organism starts from only one cell,how do we get different body parts and organs
The two social classes of ancient Rome were made up of patricians and
Genes that carry contrasting inheritance factors are called _____. heterozygotes homozygotes alleles
A sperm cell and an egg cell fuse to form which structure?
Which sentence would be an effective thesis statement for a historical essay on the American industrial revolution? The American industrial revolution grew out
a family went out to dinner and the bill was $113. If they want to leave a 19% tip, how much tip should they leave?
Which kind of pronoun is the underlined word? Uncle Tony cheered himself into a frenzy at the baseball game. A. reflexive B. demonstrative C. indefinite D.
Which is not a reason why the London Company and Plymouth Company were granted charters to form Virginia colonies? to provide new areas to search for gold and s
When Reagan was inaugurated as President in 1981 the economy was as stable as it had been in years. true or false