Answer:
20% tip
Step-by-step explanation:
Dinner: $48.00
Tax: 0.05($48.00) = $2.40
Total (final) bill before tip: $50.40
Tip: $10.08
Percentage tip was then $10.08 (100%) / $50.40 = 20%
The family left a 20% tip.
Answer:
C
Step-by-step explanation:
The amount Adam invested in a six years CD was $12,000 was 7.1%
Adam made a withdrawal of $2500 early. The early withdrawal was worth eighteen months of interest on the amount withdrawn.
Monthly interest = 7.1% / 12
= 0.59%
The interest for 18 months will be
(7.1% /12)18
= 10.65%
The penalty for withdrawing early was 18 months worth the interest on the amount withdrawn
= 2500 * 10.65%
= 266.25
This means Adam needs to pay a penalty of $266.25 for withdrawing early
<h3>
Answer: 48</h3>
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Explanation:
Triangle ABC is isosceles because AC = BC.
The angles opposite these congruent sides are angle ABC and angle BAC. These are the base angles.
For any isosceles triangle, the base angles are congruent.
Angle BAC = 69 degrees is given. So angle ABC = 69 as well.
-------------------
The missing angle must add to the two other angles so that all three angles in a triangle add to 180
(angle ABC) + (angle BAC) + (angle BCA) = 180
69 + 69 + (angle BCA) = 180
138 + (angle BCA) = 180
angle BCA = 180-138
angle BCA = 42
-------------------
Angle DCE is congruent to angle BCA because they are vertical angles.
Triangle DCE is a right triangle. The missing angle is 90-(angle BCA) = 90-42 = 48
angle EDC = 48 degrees
Answer:
suggestions use algebra calculator or mathaway they will help u and give you the answer
Answer:
Step-by-step explanation:
The question is incomplete, as the angles of rotation are not stated.
However, I will list the angles less than 360 degrees that will carry the hexagon and the nonagon onto itself
We have:
Divide 360 degrees by the number of sides in each angle, then find the multiples.
<u>Nonagon</u>
List the multiples of 40
<u>Hexagon</u>
List the multiples of 60
List out the common angles
This means that, only a rotation of will lift both shapes onto themselves, when applied to both shapes.
The other angles will only work on one of the shapes, but not both at the same time.