The opposite angles of an inscribe quadrilateral are supplementary.
angle P + angle R = 180
6x + 7 + 12x + 11 = 180
18x + 18 = 180
18x = 162
x = 9
Now we will substitute in the value of x to find angle P and R.
angle P = 6(9)+7 = 61
angle R = 12(9)+11 = 119
Now we will find the value of y.
angle Q + angle S = 180
10y + 7 + 3(3y + 7) = 180
10y + 7 + 9y + 21 = 180
19y + 28 = 180
19y = 152
y = 8
Now substitute in the value of y to find angle Q and S.
angle Q = 10(8)+7 = 87
angle S = 3(3*8+7) = 93
Hope this helps :)
Answer:
#3
<u>What was the area left unpainted?</u>
Option D
#4
<u>How big is Ben's share?</u>
- 998.50 - 18.6² = 652.54 m²
Option A
#5
<u>The area of a circular pool whose radius is 2 m:</u>
- A = π² = 3.14*2² = 12.56 m²
Option A
The question is an illustration of combination and there are 729 potential pass codes available
<h3>How to determine the number of potential pass codes?</h3>
The given parameters are
Symbols available = 9
Length of pass code = 3
From the question, we understand that a symbol may be entered any number of times.
This means that each of the 9 available symbols can be used three times
So, the number of potential pass codes is
Passcodes = 9 * 9 * 9
Evaluate the product
Passcodes = 729
Hence, there are 729 potential pass codes available
Read more about combination at:
brainly.com/question/11732255
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Look up the question on the Internet the answers will pop up and tell you how they answered it
Answer:
56
Step-by-step explanation:
8 cupcakes per 1 cup of flower
56 cupcakes per 7 cups of flower
times both by 7