Answer:
m∠x = 65°
m∠y = 81°
m∠z = 34°
Step-by-step explanation:
Since we have 2 transversals and a pair of parallel lines, we can see that at ∠A it equals 65°. If we use the Corresponding Angles Theorem, the m∠A = m∠x. Therefore, x = 65°
To find <em>y</em>, we know that a line is 180°. So, 180 - (65 + 34) = 81°
To find <em>z</em>, we know that all angles in a triangle add up to 180°. So, 180 - (81 + 65) = 34°. Alternatively to find <em>z</em>, we could use Alternate Interior Angles Theorem.
y = 2x - 5
To find the x and y intercepts, plug in 0 for y (solving for x intercept) and 0 for x (solving for y intercept) then solve for the remaining variable.
Let's solve for the x intercept first, so plug in 0 for y.
0 = 2x - 5
Add 5 to both sides.
5 = 2x
Divide both sides by 2.
x = 5/2
Now plug in 0 for x and solve for y.
y = -5
x intercept = 5/2, y intercept = -5
Answer:
The simplified value of is .
Step-by-step explanation:
As the given expression is
Lets simplify this expression step by step
As
So, lets plug in equation [A] i.e.
∵
∵
Therefore, the simplified value of is .
Keywords: simplification, exponent rule
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Divide the arc’s degree measure by 360,then multiply the Length of the full circle by the fraction you got from dividing
The numbers 7 and 14, 28 and 7 have the greatest common factor. The correct options are A and B.
<h3>What is the greatest common factor?</h3>
The largest factor of the two numbers which divides both the numbers is called as greatest common factor or GCF. In other words, the greatest common factor is the largest positive number which can be divided into given numbers evenly.
Given the number is 7 the pair of numbers having the greatest common factor is calculated below:-
For pairs 7 and 14. Both the numbers are the multiple of 7 it can be divided by 7. The greatest common factor will be 7 for pairs 7 and 14.
Similarly for pairs 7 and 28. Both the numbers are the multiple of 7 it can be divided by 7. The greatest common factor will be 7 for pairs 7 and 28.
Therefore, the numbers 7 and 14, 28 and 7 have the greatest common factor. The correct options are A and B.
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