Answer:
Step-by-step explanation:
If A is in between Y and Z, then;
YA+AZ = YZ
Given.
YA = 14x,
AZ = 10x and
YZ = 12x + 48
Substitute into the formula
14x+10x = 12x+48
Find x;
24x = 12x+48
24x-12x = 48
12x = 48
x = 48/12
x = 4
Get AZ
AZ = 10x
AZ =10(4)
AZ = 40
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: 492016
Step-by-step explanation:
88+8698= 8786
8786×56= 492016
Answer:
A) 14
Step-by-step explanation:
BC is congruent to DC in saying this you can plug the equations to each other and solve for y and then put its back into the equation for BC to get the length.
3y+5=5y-1
subtract 3y from both sides --> 5=2y-1
add 1 to both sides --> 6=2y
now get y alone, divide by 2 by both side --> y=3
plug y in back to 5y-1 --> 5x3-1
15-1
BC = 14
