To win a lottery, 7 numbers are drawn at random from a pool of 21 numbers. Numbers cannot repeat. If a person has one ticket,
2 answers:
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Answer:
Step-by-step explanation:
The opposite angles in a quadrilateral theorem states that when a quadrilateral is inscribed in a circle, the angles that are opposite each other are supplementary, their degree measures add up to 180 degrees. One can apply this here by using the sum of (<C) and (<A) to find the measure of the parameter (z). Then one can substitute in the value of (z) to find the measure of (<B). Finally, one can use the opposite angles in a quadrilateral theorem to find the measure of angle (<D) by using the sum of (<B) and (D).
Use the opposite angles in an inscribed quadrialteral theorem,
<A + <C = 180
Substitute,
14x - 7 + 8z = 180
Simplify,
22z - 7 = 180
Inverse operations,
22z = 187
z =
Simplify,
z =
Now substitute the value of (z) into the expression given for the measure of angle (<B)
<B = 10z
<B = 10()
Simplify,
<B = 85
Use the opposite angles in an inscribed quadrilateral theorem to find the measure of (<D)
<B + <D = 180
Substitute,
85 + <D = 180
Inverse operations,
<D = 95
Answer:
8, 133, 47, 43, 90 (remember to put degree symbols!)
Step-by-step explanation:
i added all of the work and explanations in this files! if you still have questions feel free to comment or message :)
Answer:
The result is 1/8
Step-by-step explanation:
What you do is simplify the fractions, like I did in the picture:
sorry, I couldn't crop it in any other way.
I hope it helped!
