I think the answer is: 6 = -21
Answer:
46degrees
Step-by-step explanation:
Find the value of x.
Using the circle theorem which states that
The angle at the vertex is half the difference that at the intercepted arcccs
x = 1/2(152 - 60)
x = 1/2 (92)
x = 92/2
x = 46degrees
Hence the value of x is 46degrees
Direct variation is a relation that has the form
y = kx
where k is the constant of proportionality.
If you are told that a relation is a direct proportion, and you are given one data point, you can find k. The you can write the equation of the direct relation.
Here is an example.
The price of gasoline follows a direct variation.
John bought 5 gallons of gas and paid $15.
a) Write an equation for the relation.
b) Using the relation you found, how much do 13.8 gallons cost?
Solution:
Since the relation is a direct variation, it follows the general equation of a direct variation:
y = kx
We are given one data point, 5 gallons cost $15.
We plug in 5 for x and 15 for y and we find k.
y = kx
15 = k * 5
k = 3
Now that we know that k = 3, we rewrite the relation using our value of k.
y = 3x
This is the answer to part a).
Part b)
We use our relation, y = 3x, and we plug in 13.8 into x and find y.
y = 3x
y = 3 * 13.8
y = 41.4
The price of 15 gallons of gas is $41.40.
Hi there!
2(4z - 9 - 7) = 166 - 46
let's make this a little more simpler...
2(4z - 16) = 120
use distributive property.
multiply 2 and 4z , 2 and -16.
8z - 32 = 120
add 32 on both sides to isolate the variable
8z = 152
divide both sides by 8...
z = 19
So your answer is A. 19
Hope this helped!! :)
Answer:
25
Step-by-step explanation:
'. a=3
b=8
c =2
d=5
so
3^2+3(8)+2-2(5).
9+24+2-10
=25
