Answer:
The firstgear needs to make five revolutions in order for the marks to line up again.
Step-by-step explanation:
Answer:
m = 13
Step-by-step explanation:
Given
m - 5 = 8 ( isolate m by adding 5 to both sides of the equation )
m = 8 + 5 = 13
If the ratio of two consecutive exterior angles are 11:7, the supplement of the larger angle will be <u>70 degrees</u>.
The larger angle and the smaller angle are supplementary to each other since they are consecutive exterior to one another.
If the larger angle is x, therefore:
Ratio of Larger angle to smaller angle = 11:7
11x + 7x = 180 degrees
18x = 180
x = 10
Larger angle = 11x = 11(10) = 110 degrees
Smaller angle = 7x = 7(10) = 70 degrees
The supplement of the larger angle, 110 degrees, is <u>70 degrees.</u>
In summary, if the ratio of two consecutive exterior angles are 11:7, the supplement of the larger angle will be <u>70 degrees</u>.
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Answer:
Therefore, the triangles ABD and CDB are congruent by SAS postulate, NOT SSS postulate, which would require 3 pairs of congruent sides.
Answer:2.Triangles ABD and CDB are congruent by the SAS postulate.
Step-by-step explanation:
"Side AB is parallel to side DC so the alternate interior angles, angle ABD and angle CDB, are congruent." is perfectly correct.
"Side AB is equal to side DC and DB is the side common to triangles ABD and BCD." this is also true
so by now we have 2 triangles, with 2 congruent sides, and the angles between these pairs of congruent sides, are also congruent
