Answer:
x=20
Step-by-step explanation:
180=2x+6x+20
180=8x+20
160=8x
20=x
Answer:
m (x) = -2(x-6)^2 +18
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
a number by itself is a constant.
Answer:
x ≈ 2879.4 m
Step-by-step explanation:
Measure of ∠DAC = 10°
Measure of ∠DAB = 90°
Measure of ∠BAC = 90° - 10° = 80°
By applying cosine rule in ΔABC,
cos(80°) = 
= 
0.17365 = 
x = 
x = 2879.36
x ≈ 2879.4 m
9514 1404 393
Answer:
no
Step-by-step explanation:
Angles 6 and 9 are alternate interior angles where transversal 'a' crosses parallel lines p and q. As such, they are congruent. This means the measure of angle 6 is the same as that of angle 9, 110°.
Angles 6 and 8 are <em>corresponding</em> angles. If lines 'a' and 'b' were parallel, those angles would be congruent. We know angle 6 has a measure of 110° and angle 8 has a measure of 70°, so the angles are not congruent. Hence, lines 'a' and 'b' are not parallel.
__
<em>Alternate solutions</em>
Since you are not allowed to plagiarize my answer, you may be interested in other ways to show the same thing. The basic idea is to use angle relationships where transversals cross parallel lines. Ones that can be useful here are ...
- corresponding angles are congruent
- vertical angles are congruent*
- alternate interior (or exterior) angles are congruent
- sequential interior (or exterior) angles are supplementary.
- angles of a linear pair are supplementary*
The relations marked with an asterisk (*) apply where <em>any</em> lines cross, and have no specific relationship to parallel lines. The remaining relationships only occur if the lines are parallel. Showing one of those is not true will show that the lines are not parallel.
