Answer:
Step-by-step explanation:
1. 4x=7(x-3) Reason: Starting equation
2. 4x=7x-21 Reason: Distributive Property
3. -3x=-21 Reason: Subtracting Combining like terms
4. x=7 Reason: Division
Answer:
<h2>(a) 5</h2><h3>> 5 is greater than 4</h3>
It was 210 cm.
The function she used is h(t) = 210 + 33t. This is a linear function, since it is of the form f(x) = mx+b. In a linear function, we have the slope, m, which tells us how much the height increases per year, and the y-intercept, b, which tells us how tall it was when we began measuring. Our m value would be 33 and our b would be 210, so the original height was 210.
Answer:
-2
Step-by-step explanation:
Let's solve this problem step-by-step.
First of all, let's establish that supplementary angles are two angles which add up to 180°.
Therefore:
Equation No. 1 -
x + y = 180°
After reading the problem, we can convert it into an equation as displayed as the following:
Equation No. 2 -
3x - 8 + x = 180°
Now let's make (y) the subject in the first equation as it is only possible for (x) to be the subject in the second equation. The working out is displayed below:
Equation No. 1 -
x + y = 180°
y = 180 - x
Then, let's make (x) the subject in the second equation & solve as displayed below:
Equation No. 2 -
3x - 8 + x = 180°
4x = 180 + 8
x = 188 / 4
x = 47°
After that, substitute the value of (x) from the second equation into the first equation to obtain the value of the other angle as displayed below:
y = 180 - x
y = 180 - ( 47 )
y = 133°
We are now able to establish that the value of the two angles are as follows:
x = 47°
y = 133°
In order to determine the measure of the bigger angle, we will need to identify which of the angles is larger.
133 is greater than 47 as displayed below:
133 > 47
Therefore, the measure of the larger angle is 133°.
