Answer:
Shes needs to work 26.67 hours
Step-by-step explanation:
In order to find the amount of time she needs to work, we need to divide the total by the rate that she earns money at. She needs a total of $400 and she gets 15 every hour.
400/15=26.67
Shes needs to work 26.67 hours
Mixed. an improper fraction is when the number on top is higher than the number on bottom
If two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent.
Value of X is 9 and Angle 6 is 79°
If two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent.
If two parallel lines are cut by a transversal, then the pairs of alternate interior angles are congruent.
If two parallel lines are cut by a transversal, then the pairs of alternate exterior angles are congruent.
Since, angle 1 and angle 4 are vertically opposite angles . Hence, these are equal.
∠1 = ∠4 = 11x + 2
Similarly, ∠6 and ∠7 are vertically opposite angles.
Thus, ∠6 = ∠7 = 8x + 7
If two parallel lines are cut by a transversal, then the sum of interior angles on one side is equal to 180 degree.
Therefore, ∠4 + ∠6 = 180
11x + 2 + 8x + 7 = 180
19x + 9 = 180
19x = 171
x = 9
Value of angle 6 = value of angle 7
= 8x + 7
= 8 (9) + 7
= 79 Degree
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Answer:
m∠1 = 112°
Step-by-step explanation:
To solve for m∠1, we need to find the supplementary angle and subtract from 180°. We also know that m∠2 = 44° and the remaining two angles inside the triangle are the same because of the congruent sides, let's call each angle x.
Therefore m∠2 + x + x = 180; combine x's
m∠2 + 2x = 180; substitute m∠2 = 44°
44 + 2x = 180; subtract 44 from both sides
2x = 136; divide by 2
x = 68°
Therefore using the supplementary angle
x + m∠1 = 180 (because it is supplementary)
68 + m∠1 = 180; subtract 68 from both sides
m∠1 = 112°
Step-by-step explanation:
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