Answer:
4. Corresponding angles of congruent triangles. ( Angle)
5. Common side. (Side)
6. From 1, 4, and 5. (SAS axiom)
Step-by-step explanation:
Answer:
Step-by-step explanation:
This question is asking us to find where sin(2x + 30) has a sin of 1. If you look at the unit circle, 90 degrees has a sin of 1. Mathematically, it will be solved like this (begin by taking the inverse sin of both sides):
![sin^{-1}[sin(2x+30)]=sin^{-1}(1)](https://tex.z-dn.net/?f=sin%5E%7B-1%7D%5Bsin%282x%2B30%29%5D%3Dsin%5E%7B-1%7D%281%29)
On the left, the inverse sin "undoes" or cancels the sin, leaving us with
2x + 30 = sin⁻¹(1)
The right side is asking us what angle has a sin of 1, which is 90. Sub that into the right side:
2x + 30 = 90 and
2x = 60 so
x = 30
You're welcome!
Answer:
3.7
This means that the answer is past the 3 point on the number line and 3 tick marks before the 4 point.
Answer:
1.4
Step-by-step explanation:
0.5f-2.3g where f=12 and g=2
substitute 12 in for f and 2 in for g and solve
0.5(12)-2.3(2)
6-4.6=1.4
Answer:
19 - (6/5)j
Step-by-step explanation:
In this expression we have addition, subtraction and multiplication.
According to order of operations rules, mult. and div. must be carried out before add. or subt.
Therefore, we begin with 17+(-4), which becomes 17 - 4, or 13.
Next we see -4/5j, by which I assume you mean -4/5 * j.
Summarizing what we have so far:
13 - (4/5)j - 2/5j + 6
Combining the j terms, we get
13 - (6/5)j + 6, which collapses to 19 - (6/5)j.
