Answer: original angle = 75°
Its supplement 105°
Its complement = 15°
Step-by-step explanation:
We know that,
- Sum of supplementary angles is 180 degrees.
- Sum of complementary angles is 90 degrees.
Let x be the original angle , then its supplement = 180° - x
its complement = 90° - x
As per given,
180° - x = 7(90° - x)
⇒ 180° - x = 630° - 7x
⇒ 7x- x = 630° -180°
⇒ 6 x = 450°
⇒ x = 75° [divide both sides by 6]
So, original angle = 75°
Its supplement = 180° - 75° = 105°
Its complement = 90° -75° = 15°
Hence, original angle = 75°
Its supplement 105°
Its complement = 15°
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:
Left
50 feet
Right
16 inches
10 inches
Step-by-step explanation:
Here, we want to make a conversion and fill in the empty spaces
The scale is 1 foot is 1/8 inch
To convert from foot to inch, we multiply by 1/8
To convert from inch to foot, we multiply by 8
Thus, we have ;
Let’s fill in the left spaces first;
6.25 * 8 = 50 feet
Right spaces, top to bottom;
128 * 1/8 = 16 inches
80 * 1/8 = 10 inches
Answer:
464
Step-by-step explanation:
