I could be wrong (and I apologize if I am), but I believe these are the answers to your questions.
1.) Angle 4
2.) Angle 6
3.) Angle 10
4.) 30 degrees
5.) 48 degrees
6.) 55 degrees
7.) 68 degrees
8.) 148 degrees
9.) 102 degrees
10.) 38 degrees
If I turn out to be correct, then I am happy I was able to help you.
Answer:
5,376in^3
Step-by-step explanation:
find the volume of the smaller box first
10×4×12 = 480in^3
find volume of bigger box
17×12×24 = 4,896in^3
add both volumes 4,896 +480 = 5,376in^3
When a quadrilateral is inscribed in a circle, the opposite angles are supplementary.
x + 2 + 3x + 6 = 180
4x + 8 = 180
4x = 172
x = 43
Now solve for A
3(43) + 6 = A
129 + 6 = A
135 = A
The measure of angle A is 135 degrees.
Hope this helps =)
23 and 9 are the two numbers
Explanation:
x = one number
y = other number
x + y = 32 {sum of two numbers is 32
x - y = 14 {difference is 14}
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2x = 46 {added the two equations together}
x = 23 {divided both sides by 2}
x + y = 32 {top equation}
23 + y = 32 {substituted 23, in for x, into top equation}
y = 9 {subtracted 23 from both sides}
23 and 9 are the two numbers
