So first of all they are similar because they are in the same degree and the top and bottom of each one is equal, and so are the left and right. You need to set up a proportion of 10:3.12 and 5:1.2 because those are the sides that match up. They match because if you rotate the second figure to the right it would match the figure on the right. The only available answer then out of 10:3.12 and 5.12 is letter A. Hope this helps comment if you need any more help or it’s confusing.
Answers:
x = 5
m∠C = m∠H = 38 degrees
WORKINGS
Given that ABCD ≅ FGHJ
We know that corresponding angles of two congruent
quadrilaterals are equal
Therefore,
m∠A = m∠F
m∠B = m∠G
m∠C = m∠H
m∠D = m∠I
Given,
m∠C = 9x – 7
m∠H = 5x + 13
Since m∠C = m∠H
9x – 7 = 5x + 13
Add 7 to both sides of the equation
9x – 7 + 7 = 5x + 13 + 7
9x = 5x + 20
Subtract 5x from both sides of the equation
9x – 5x = 5x – 5x + 20
4x = 20
Divide both sides of the equation by 4
4x/4 = 20/4
x = 5
To determine the measures of angle C and angle H
m∠C = m∠H
We know that m∠C = 9x – 7
Since x = 5
m∠C = 9(5) – 7
m∠C = 45 – 7
m∠C = 38
Therefore, m∠C = m∠H = 38 degrees
Answer:
y=6-3x
Step-by-step explanation:
first subtract 9x from 9x+3y=18
-9x -9x
so you get 3y=18-9x or 3y=-9x+18 then divide both sides by 3
so you get y=6-3x hope this helps :)
Step-by-step explanation:
directrix = (1, -1)
focus = (-3, 2)
vertex = (-3, 3)
