The formula for the area of a trapezoid is 1/2 (b1 + b2) h
So, take your b1 and b2, 12 and 6, and add them together. You get 18.
Divide this by 2, and you get 9.
Now, multiply 9 by your height, which is 4.
9 x 4 = 36.
The area of the trapezoid is 36 square inches.
Answer:
17% off $35
Step-by-step explanation:
The reason I say 17% off $35 is better price is because you get $5.95 off the original price.
So how did you do it they wonder, well in order to find out how much we are going to be taking off of a number as a percentage we have to turn 17% and 12% into a decimal by multiplying 17% and 12% by 100.
17% * 100 = 0.17
12% * 100 = 0.12
Now we multiply 0.12 by $32 and 0.17 by $35 in order to find out how much money you are saving:
0.12 * $32 = $3.84
0.17 * $35 = $5.95
So since $5.59 is bigger than $3.84 you have your answer 17% off $35 is a better price.
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.
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<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.
