Answer:
74.4°
Step-by-step explanation:
Given
- ∠G=90° => ΔEFG is a right triangle
- EF = 95 feet
- FG = 26 feet
Use sine law to find ∠F
As we know:
Sin(GEF)/ GF = Sin(EGF)/EF
<=> Sin(GEF) / 26 = Sin(90)/95
<=>Sin(GEF) / 26 = 1/95
<=> Sin(GEF) = 26/95
<=> ∠GEF ≈ 15.8°
=> ∠F = 180° - ∠G - ∠GEF
∠F = 180° - 90° - 15.8° = 74.4°
Answer:
Let v = ml of 100% vinegar
Then 150-v = ml of dressing
v + .05(150-v) = .24(150)
v + 7.5 - .05v = 36
.95v = 28.5
v = 28.5/.95
v = 30 ml of vinegar
dressing = 150-30 = 120 ml
Step-by-step explanation:
-4(8-3x)≥6x-8
Expand the left side.
-32+12x≥6x-8
Add 32 to both sides
12x≥6x+24
Subtract 6x.
6x≥24
Divide both sides by 6.
x≥4
Answer: x ≥ 4
answer from calculator is 1083.33
If the two triangles are similar you can use a proportion to solve for the length of the legs.
=
Now, you would cross multiply to get
4x=18
Now, you simplify that using the division property of equality.
You end up with
x=4.5
Therefore, the legs of the triangle with a base of 9 inches will each be 4.5 units long.
