asiaredwie asiaredwie
  • 04-06-2019
  • Mathematics
contestada

Ð1 and Ð2 are congruent. If mÐ1 = 10x – 5 and mÐ2 = 6x + 15, then what is the degree measure of Ð1?

Respuesta :

gmany
gmany gmany
  • 15-06-2019

Answer:

mÐ1 = 45

Step-by-step explanation:

If Ð1 and Ð2 are congruent, then mÐ1 = mÐ2.

We have mÐ1 = 10x - 5 and mÐ2 = 6x + 15.

The equation:

10x - 5 = 6x + 15      add 5 to both sides

10x - 5 + 5 = 6x + 15 + 5

10x = 6x + 20      subtract 6x from both sides

10x - 6x = 6x - 6x + 20

4x = 20       divide both sides by 4

4x : 4 = 20 : 4

x = 5

Put the value of x to the expression 10x - 5:

10(5) - 5 = 50 - 5 = 45

Answer Link

Otras preguntas

Tom doesn't really want to give away blue marbles and would like to change the probability that he chooses a blue marble to 1/10.How many marbles that are not b
Which number line shows 1/3 and it's opposite
what is the domain and range for y=lxl
Population density is the number of people per unit of area. What is the population density of a state that has 1627260 people in 1490 square miles? Round to th
50/7 as a mixed number
what is 3a + 1 = -3.6(a - 1)
What is the greatest common factor of 42,84,and 105 and how do you find it
how do you use distributive property to find the answer of 75 divided by 3
43.586 rounded to the nearest hundredth
how do you compare 1/5 and 0.201