Question

What is m∠CDJ?



°



Line AK and line MJ intersect at a right angle at point D. Line LC also passes through point D, forming angle ADC and angle JDC. Angle ADC measures four x degrees, and angle JDC measures three x minus eight degrees.

Answer 1

@Data_LG2

Answer 2

@jim_thompson5910 @perl

Answer 3

"MJ intersect at a right angle at point D"
so it means angle ADJ is equal to 90 degrees:
ADC + CDJ = 90
(4x)+ (3x-8) = 90

first calculate the variable x, then plug it into angle CDJ which is 3x-8

Answer 4

5?

Answer 5

@Data_LG2

Answer 6

solving for the value of 'x'

i'll give you a similar problem, let's say we have
5x+ 2x - 7 = 180
first, collect like terms:
5x+2x -7 + 7= 180 + 7 [add both sides by seven]
5x+2x=180 + 7 [simplify]
then evaluate:
7x = 187 [divide both sides by 7]
x= 187/7

now, do the same thing with 4x + 3x-8 = 90 ...

Answer 7

so 90

Answer 8

hello?

Answer 9

@Data_LG2

Answer 10

no, let's do it step by step

let's simplify this 4x + 3x-8 = 90 to get the value of x :

tell me what's 4x + 3x ?

Answer 11

98?

Answer 12

nope... 4 +3 ?

Answer 13

oh ok the X's in were confusing me 7

Answer 14

it's just a variable-we're looking for its value, yes 7 is right
so we will have

4x + 3x-8 = 90
7x - 8 =90

now add both sides by 8..what will you end up with?
[don't touch 7x ]

Answer 15

23x?

Answer 16

@Data_LG2

Answer 17

nope

don't touch 7x
7x - 8 =90
now add both sides by 8.

7x-8 \(\sf \color{red}{+\ 8}\) = 90 \(\sf \color{red}{+\ 8}\)

answer these questions:
-8 + 8 is ?
90 + 8 is?

7x + ____ = ______

Answer 18

0 and 98

Answer 19

yes
so we have:

7x = 98

now divide both sides by 7 to get rid of the 7 beside x

Answer 20

7/7=1 98/7=14

Answer 21

yes, so x = 14

now, let's go back to the angle CDJ which is (3x-8)

we know that x=14, so plug it in in 3x-8, what will you get?

Answer 22

34

Answer 23

right (:

Answer 24

ok thank you so much

Answer 25

np ^_^