Answer:
11. c
12. c
Step-by-step explanation:
11. Since Angle RST = 60 degrees, Angle RTS = 60 degrees.
Triangle STU is a right triangle, so Angle STU and Angle SUT are both 45 degrees.
Angle RTS + Angle STU + Angle UTQ = 180 degrees
60 + 45 + Angle UTQ = 180
Angle UTQ = 180 - 105
= 75 degrees
12. Using the corresponding angles theorem, x = 45 degrees and y = 35 degrees.
x + y
45 + 35
80
Answer:
B
Step-by-step explanation:
Pythagorean theorem (applicable on right triangles only) says:

- Where
and
are the two legs of the triangle and
is the length of the hypotenuse [THE LONGEST SIDE].
<u>We can square each leg on the triangle and take the sum, if that is equal to the square of the longest side, we have a right triangle. Let's check for all of these.</u>
A.


They're not right triangle.
B.


This is a right triangle.
C.


They're not right triangle.
D.


They're not right triangle.
Only B is the right triangle.
Sixtyseventhousand four hundred nine
Answer:
2 and 3
Step-by-step explanation:
I really don't have one but I did get it right
Isolate the term with
.

Differentiate both sides with respect to
.

By the product and chain rules,

Solve for the partial derivative, then evaluate at
.

