Answer:
61 degrees
Step-by-step explanation:
First, find x. CBD=BDA
x+18=4x-15
x=11
Four interior angles of a rectangle are all 90 degrees. So to find ABD, subtract CBD from 90 degrees. So 90-29=61 degrees.
Answer:
The equation representing the Amount of profit Peter earns is
.
Step-by-step explanation:
Given:
Money spent on supplies = $64.50
Per lawn charge for mowing lawn = $12
Solution:
Let the amount of profit Pete earns be represented by 'y'.
Let the number of lawns to be mowed be represented by 'x'
Now we can say that:
Amount of profit Pete earns is equal to Per lawn charge for mowing lawn multiplied by number of lawns to be mowed minus Money spent on supplies.
framing in equation form we get;

Hence The equation representing the Amount of profit Peter earns is
.
Based on the calculations, the sum of this geometric series is equal to 9,990.
<h3>The standard form of a geometric series.</h3>
Mathematically, the standard form of a geometric series can be represented by the following expression:

Where:
- a₁ is the first term of a geometric series.
<h3>How to calculate the sum of a geometric series?</h3>
Also, the sum of a geometric series is given by this mathematical expression:

<u>Given the following data:</u>
- Common ratio, r = 900/9000 = 0.1
Substituting the given parameters into the formula, we have;

S = 9000(0.999)/0.9
S = 8,991/0.9
S = 9,990.
Read more on geometric series here: brainly.com/question/12630565
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Answer:
75°, 105°
Step-by-step explanation:
Supplementary angles sum to 180°
Sum the parts of the ratio, 5 + 7 = 12 parts
Divide 180° by 12 to find the value of one part of the ratio.
180° ÷ 12 = 15° ← value of 1 part of the ratio, thus
5 parts = 5 × 15° = 75°
7 parts = 7 × 15° = 105°
Answer:
3^4
Step-by-step explanation: