Question

Ill attach a digram! And I give medals and fan, please help me :)
2. What is GH? (1 point)
5
10
15
25

3. What is the value of y? (1 point)
2
4
16
20

Answer 1

The are saying that segment GH equals segment GI
they also say GH is 5x-10 and GI is 3x
I would set up an equation , solve for x, and then use x to find 5x-10 (which is the length of GH)

Answer 2

Use the same idea to find y. (note by similar triangles, the two angles at the bottom are congruent, and the mark shows the left and middle angles are congruent.)

Answer 3

Yup segment GH and IG are equal. So you can write an equation for that and solve for x.

Answer 4

so 5x-10 = 3x and I work this out to get GH?

Answer 5

Yes

Answer 6

x = 5?

Answer 7

Not GH that is the value of x. Note: GH=5x-10. Substitute the value for x in the equation and simplify. yes x=5

Answer 8

So is it 15?

Answer 9

Yes GH=15

Answer 10

Now the 2 angles are congruent (i.e similar). Therefore, they are equal to each other. Create an equation from 10y and 8y+4

Answer 11

Are those two equations equal? The 10y and 8y+4?

Answer 12

Yes they are. From that statement you should be able to create an equation and solve for y

Answer 13

y = 2?

Answer 14

Yes, good job

Answer 15

Thanks! Now could you help me with a little more? I need to find the measure of DBE.

Answer 16

You can find the value for the two angles by substituting y=2 in the equation for one of the angles.

Answer 17

What would the equation be? The picture confuses me.

Answer 18

I can substitute the x's or y's in.

Answer 19

Angle DBE is the sum of angles 10y and 8y+4. So find the angle by replacing y in each expression with 2 and compute.

Answer 20

So its 40?

Answer 21

Yes it is

Answer 22

Thank you!

Answer 23

Sure no problem.