Using the same-side interior angles theorem, the values of x and y are:
x = 80
y = 130
<h3>What is the Same-side Interior Angles Theorem?</h3>
The same-side interior angles theorem states that two interior angles on same side of a transversal are supplementary.
(x - 30) and (x + 50) are same-side interior angles, therefore:
(x - 30) + (x + 50) = 180
Solve for x
x - 30 + x + 50 = 180
2x + 20 = 180
2x = 180 - 20
2x = 160
x = 160/2
x = 80
(x - 30) + y = 180
Plug in the value of x
(80 - 30) + y = 180
50 + y = 180
y = 180 - 50
y = 130
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Answer:
2² • 89
The prime factors are: 2 x 2 x 89
or also written as { 2, 2, 89 }
Written in exponential form: 2² x 891
Step-by-step explanation:
56 ÷ 2 = 178 - No remainder! 2 is one of the factors!
178 ÷ 2 = 89 - No remainder! 2 is one of the factors!
89 ÷ 2 = 44.5 - There is a remainder. We can't divide by 2 evenly anymore. Let's try the next prime number
89 ÷ 3 = 29.6667 - This has a remainder. 3 is not a factor.
89 ÷ 5 = 17.8 - This has a remainder. 5 is not a factor.
89 ÷ 7 = 12.7143 - This has a remainder. 7 is not a factor.
Answer:
120
Step-by-step explanation:
Answer can be gotten using simple addition
64+56
=120
A linear equation in two variables describes a relationship in which the value of one of the variables depends on the value of the other variable. In a linear equation in x and y, x is called x is the independent variable and y depends on it. We call y the dependent variable.
Answer: 4
Step-by-step explanation:
I think the answers correct because, If they give us pactricia's age and it's 23, then we have to subtracct 7 and divide by 4. First of all 23 minuts 7 equals 16, then we divide 16 by 4 and that equals 4 and you got your answer.
Hope This Helps!