Answer:
13. c,
14. a.
Step-by-step explanation:
13. The length of a side PQ with coordinates of
P as (x,y) and Q as (w,z)
is:
- so, the length of the side AB =
now, the easiest one will be when the vertices are on the coordinate axes.
- so, option c will be the most appropriate one.
14. If u see the figure clearly, the lines l and FH are parallel.
the parallel postulate, i.e, the alternate interior angles will always be congruent.
- here, the alternate interior angles are angle1 and angle4.
- therefore to prove this step, he used parallel postulate as a reason.
- so, the correct option is "a"
Answer:
30 degrees
Step-by-step explanation:
To figure out theta is using a bit of simple trigonometry.
2sin(theta) = 1
= sin(theta) = 0.5
Using arcsin (sin^-1) we can isolate x
x = arcsin(0.5)
x = 30
Answer:
4
Step-by-step explanation:
Given :
5c+cd where, and d=15
Now,
5×
=1+3
=4
Answer is 4
Answer: 8/27 cubic yards
Step-by-step explanation:
Volume of cube = side length ³
(2/3)³ = 2³ / 3³ = 8 / 27
Answer:
A.
Step-by-step explanation:
Factoring is the process of taking common terms out of an expression such that one can represent the expression as the result of smaller values. When given the following expression:
First, represent the linear term as the sum of two terms such that each term shares a common factor with the other terms in the expression.
Now take out the common factors,
Thus, the correct option is choice (A).