Answer:
C) 24
Step-by-step explanation:
Alternate interior angles are equal
so angle 1 equals angle 6
3x+10=x+58
subtract 10 from both sides
3x=x+48
then subtract x from both sides
2x=48
dived each side by two
x=24
Answer:
Option B is correct.
Step-by-step explanation:
Given: RSTU is a parallelogram.
By definition of parallelogram, two pairs of opposite sides are congruent in length.
⇒
and 
In triangle RST and triangle TUR
[Side]
[Side]
[Common side]
SSS(Side-Side-Side) postulates states that if three sides of one triangle are congruent to three sides of other triangle, then the triangles are congruent.
then, by SSS postulates we have;
Range is the difference between the largest and the smallest variable. If the range is 18 and the smallest number is 9. Add 9 to 18.
9+18= 27. 27 is the largest number.
Answer:
Option (3)
Step-by-step explanation:
Properties for the vertical stretch or shrink of a function,
If a function is f(x) = k|x|
1). Function will be vertically stretched if k > 1
2). Function will have a vertical shrink if 0 < k < 1
To fit the given data graph of f(x) = |x| will vertically shrink without any translation along x or y-axis.
And the value of k will be, 0 < k < 1.
Therefore, g(x) =
will be the transformed graph.
Therefore, Option (3) will be the correct option.