Answer:
Step-by-step explanation:
The formula of an area of a trapezoid:
<em>b₁, b₂</em> - <em>bases</em>
<em>h</em><em> - height</em>
We must use the Pythagorean theorem:
<em>subtract 64 from both sides</em>
We have <em>b₁ = 6 + 6 = 12m</em>, <em>b₂ = 6m</em> and <em>h = 8m</em>.
Substitute:
Answer:
don't cry because it is over smile because it happened
Step-by-step explanation:
It would take Lin 36 minutes to ride 6 miles. To answer this you must divide 120 by 20. You'll get the answer 6. This is your unit rate. You then take the unit rate, 6, and multiply it by how many miles she rode. In this case, 6*6. Or if you prefer an equation: (120÷20)*6=36min.
Answer:
1. Interior angles:- B and F
C and G
2. Corresponding angles:- E and G
F and H
A and C
B and D
3. Equal
4. Angle A = 105
Angle C = 105
Angle D = 75
Angle E = 75
Angle F = 105
Angle G = 75
Angle H = 105
5. Angle D
6. Angle B = 65
Step-by-step explanation:
1. The pairs of angles on one side of the transversal but inside the two lines are called Consecutive Interior Angles.
∴ Pair of interior angles are:- 1) B and F
2) C and G
2. Corresponding angles:- the angles which occupy the same relative position at each intersection where a straight line crosses two others.
∴ Pair of corresponding angles:- 1) A and C
2) B and D
3) E and G
4) F and H
3. Angle D and E are equal as they form alternate exterior angles.
4. Angle B = 75 degrees
Angle A = (180-B) = 105 degrees
Angle C = (180-B) = 105 degrees(interior angles)
Angle D = B = 75 degrees(corresponding angles)
Angle E = B = 75 degrees(congruent angles)
Angle F = (180-B) = 105 degrees
Angle G = B = 75 degrees(alternate interior angles)
Angle A = (180-B) = 105 degrees
5. Angle D
6. Angle F = 115 degrees
Angle B = (180-115) = 65 degrees
