Step-by-step explanation:
1) supplementary
2) complementary
3) neither
4) neither
5) supplementary
6) complementary
7) supplementary
8) neither
9) complementary
ANSWER
The length of the shadow is 49 ft to nearest feet.
EXPLANATION
We can find the length of the shadow using the tangent ratio.
Recall that,
From the diagram, the length of the shadow is the side of the triangle that is adjacent to the 27° angle
This implies that,
70+80+(m+10)= 180°
150+m+10=180
160+m=180
m=20°
51.82 miles in one hour, so 51.28 x 3 = <span>155.46 miles in 3 hours.
Your answer is </span><span>
155.46 miles in 3 hours.</span>
∠1 and ∠2 are supplementary // given∠3 and ∠4 are supplementary // given∠1 ≅ ∠3 // given m∠1 + m∠2 = 180° // definition of supplementary anglesm∠3 + m∠4 = 180° // definition of supplementary angles m∠1 + m∠2 = m∠3 + m∠4 // transitive property of equality m∠1 = m∠3 // definition of congruent angles m∠1 + m∠2 = m∠1 + m∠4 // substitution property of equality (replaced m∠3 with m∠1) m∠2 = m∠4 // subtraction property of equality (subtracted m∠1 from both sides) ∠2 ≅ ∠4 // definition of congruent angles