Answer:
∠a = 10°
Step-by-step explanation:
The measure of ∠a = x
The measure of ∠b = 4x-30
It is also mentioned that the measure a and measure b are vertical angles. We need to find the value of a.
For vertically opposite angles,
∠a = ∠b
x = 4x-30
or
4x-30=x
Taking like terms together,
4x-x= 30
3x = 30
x = 10
So, the meausre of ∠a is equal to 10°.
That’s 125 times 9!!! which is 1125!!!
Answer:
<em>No values of x can make f(x)=6</em>
Step-by-step explanation:
Equation with Absolute Value
The absolute value of a number is always positive. That condition must be met when solving equations. Any condition that goes against the rule, must be discarded and not part of the solution.
The function provided in the question is:

We need to find the value(s) of x that make:
f(x)=6
It needs to solve the equation:

Subtracting 1:

Dividing by -0.5:

We reach to this equation to solve:

As stated above, the absolute value is always positive, and the equation forces the absolute value to be negative. There is no possible value of x that makes the absolute value negative, thus:
No values of x can make f(x)=6
Answer:
slope = -1/2 and y-intercept = 80
Step-by-step explanation:
A water tank has 80 gallons of water. But the tank has a leak from which water flows at a rate of 1 gallon every 2 minutes
Rate of change is the slope
Given that rate of change is 1 gallon every 2 minutes that is 1/2. The water flows out at the rate of 1/2. since it flows out the slope is negative.
So slope = -1/2
y intercept is the initial amount of water in the tank
A water tank has 80 gallons of water. so y intercept is 80 gallons of water
y intercept = 80
Answer:
28
Step-by-step explanation:

Substitute 7 for x in the given equation
