Answer:
See below.
Step-by-step explanation:
H.
f = 3x + 31
c = 12x - 1
3x + 31 + 12x - 1 = 180
15x + 30 = 180
15x = 150
x = 10
same-side interior, supplementary
R.
b = x - 10
g = 4x + 60
x - 10 + 4x + 60 = 180
5x + 50 = 180
5x = 130
x = 26
same-side exterior, supplementary
E.
d = 2x + 13
e = 7x + 5
2x + 13 + 7x + 5 = 180
9x + 18 = 180
9x = 162
x = 18
same-side interior, supplementary
I.
a = 10x - 30
e = 8x + 20
10x - 30 = 8x + 20
2x = 50
x = 25
corresponding, congruent
G.
b = x + 30
h = 5x - 14
5x - 14 = x + 30
4x = 44
x = 11
alternate exterior, congruent
Answer:
4/5
Step-by-step explanation:
- Games won/Total games = 20/25
- Simplify 20/25, by dividing each part by 5. It should now look like this: 4/5
I hope this helps!
Answer:
D. HL (hypotenuse leg)
Step-by-step explanation:
There are two triangles in the picture, ABQ and CDP. The condition for the hypotenuse leg are:
1. both triangles are right triangle
2. the hypotenuse and one of the leg/side is equal
Both B and D angle is 90 degrees, so both triangles is right triangle. The hypotenuse for the triangle is AQ and PC, and both are equal. One of the triangles legs also equal, which is AB and CD. With that, you fulfill HL postulate for the congruent triangle.
Don't confuse this with SAS theorem for the same angle should be on the middle of two equal sides.
Answer: 16/25 (sorry I'm not really sure bc I'm just a middle schooler)
Step-by-Step explanation:
2 2/5 km=2.4 kilometers
3 3/4 minutes=3.75 minutes
2.4/3.75=240/375
240/375=48/75=16/25=64/100=0.64
0.64 km/minute (0.64 km per minute)
you can solve the problem using the fractions...
2 2/5=12/5
3 3/4=15/4
(12/5)/(15/4)=(12/5)*(4/15)=48/75=16/25=0.64 again, or you can simplify before multiplying...
(12/5)/(15/4)=(12/5)*(4/15)=(4/5)*(4/5)=16/25...
