Answer:
C
Step-by-step explanation:
The last one.
Hope this helped!
Given:
A figure in which a transversal line intersect two parallel lines.
and
.
To find:
The value of x and y.
Solution:
We know that, if a transversal line intersect two parallel lines, then
(1) Alternate exterior angles are equal.
(2) Same sided interior angles are supplementary. So their sum is 180 degrees.
In the given figure j and k are parallel lines and l is a transversal line.
From the given figure, it is clear that,
(Alternate exterior angles are equal)



Therefore, the value of x is 20.
Now,
(Same sided interior angles are supplementary)






Therefore, the value of y is 38.
9514 1404 393
Answer:
16
Step-by-step explanation:
48 = 16·3
112 = 16·7
80 = 16·5
3, 5, 7 have no common factors. The GCF of {48, 112, 80} is 16.
_____
It can be helpful to recognize 48 = 16·3 and 80 = 16·5. A simple check shows 112 = 16·7, so 16 is the GCF.
__
You can find GCF(48,112) using Euclid's algorithm:
112 mod 48 = 16
48 mod 16 = 0 ⇒ GCF(48, 112) = 16
and the GCF(16, 80) is ...
80 mod 16 = 0 ⇒ GCF(16, 80) = 16
So, GCF(48, 80, 112) is 16.
Answer:
D = 15
Step-by-step explanation:
|-10|+|5|=10+5=15
|-10|=10
|5|=5
Answer: =135
Step-by-step explanation:
f(x) = 6(21)+9
f(x)= 135