Answer:
h = 59 hours
Step-by-step explanation:
Total earnings = fixed charge + variable charge
Fixed charge = $65
Variable charge = $15h
Where, h = number of hours
Total earnings = $950
Total earnings = fixed charge + variable charge
950 = 65 + 15h
Subtract 65 from both sides
950 - 65 = 65 + 15h - 65
885 = 15h
Divide both sides by 15
h = 885 / 15
= 59
h = 59 hours
Answer:
The equations should have been added up to equal 180 instead of being set to equal each other. The two are supplementary angles, which can be seen due the rule that a pair of interior angles on the same side of the transversal is supplementary. To fix this issue from the work that they did, they should subtract the 140 from 180, so the correct measure of DKH is actually 40 degrees.
Step-by-step explanation:
Given:
Vertical angles.
One angle is 85°.
To find:
The measure of ∠1, ∠2 and ∠3.
Solution:
∠2 and 85° are vertically opposite angles and ∠1 and ∠3 are vertically opposite angles.
Vertical angle theorem:
If two lines are intersecting, then the vertically opposite angles are congruent.
⇒ m∠2 = 85°
Sum of the adjacent angles in a straight line = 180°
m∠2 + m∠3 = 180°
85° + m∠3 = 180°
Subtract 85° from both sides.
85° + m∠3 - 85° = 180° - 85°
m∠3 = 95°
By vertical angle theorem:
⇒ m∠1 = m∠3
⇒ m∠1 = 95°
Therefore m∠1 = 95°, m∠2 = 85° and m∠3 = 95°.
Answer: A cross section is the shape we get when cutting straight through an object.
Step-by-step explanation:
