Answer:
t=1
Step-by-step explanation:
16-2t=t+9+4t
Combine like term
16-2t = 5t+9
Add 2t to each side
16-2t +2t= 5t+2t+9
16 = 7t+9
Subtract 9 from each side
16-9 = 7t+9-9
7 = 7t
Divide each side by 7
7/7 = 7t/7
1=t
Answer:
Option C.
Step-by-step explanation:
Given information: RSTU is a parallelogram, Digonals RT and SU intersect each other at point V, UV=(x-3) and VS=(3x-13).
According to the properties of a parallelogram, the diagonals of a parallelogram bisect each other.
Using the properties of parallelogram we can say that point V divides the diagonal SU in two equal parts, UV and VS.


Subtract x from both sides.

Add 13 on both sides.

Divide both sides by 2.

Therefore, the correct option is C.
Answer:
x = 88
Step-by-step explanation:
The sum of the angles in a triangle add to 180
47+45 +x = 180
Combine like terms
92+x = 180
Subtract 92 from each side
92+x-92= 180-92
x =88
Answer:
y = 394
Step-by-step explanation:
Answer:

Step-by-step explanation:
By definition, the sum of the interior angles of a triangle is 180 degrees.
You can observe that the given triangle has an angle that measures 90 degrees and it also has two equal sides.This means that the other two angles are equal.
Knowing this, you can conclude that the triangle is an Isosceles Right Triangle and the other angles measure 45 degrees each.
Therefore, now you know that:

Solving for "x", you get that its value is:

And for the other angle:

Solving for "y", you get that its value is the following:
