Answer:
Step-by-step explanation:
Given the equation solved by Morgan, Dakota and Taylor expressed as 7x+5x+1=73, to get the value of x, the valid steps are as shown;
7x+5x+1=73
take the sum of 7x and 5x
12x+ 1 = 73
subtract 1 from both sides
12x+1-1 = 73-1
12x = 72
Divide both sides by 12
12x/12 = 72/12
x = 6
Based on the calculation above, the students with invalid first step is Dakota.
<em>Dakota added 5x with 1 to get 6x which is an invalid step because 1 is not attached to a variable x. A function cannot be added to a constant hence making his first step invalid.</em>
Your first equation would be:
65 + 3x - 10 + 2x = 180
Then simplify to get:
5x + 55 = 180
Subtract 55 from each side:
5x = 125
Now divide by 5 to find x:
x = 25
The measure of angle B = 65
The measure of angle C = 50
Hope this helps!! :)
Let r represent the radius of cylinder.
We have been given that the height of a right circular cylinder is 1.5 times the radius of the base. So the height of the cylinder would be .
We will use lateral surface area of pyramid to solve our given problem.
, where,
LSA = Lateral surface area of pyramid,
r = Radius,
h = height.
Upon substituting our given values in above formula, we will get:
Now we will find the total surface area of cylinder.
Therefore, the ratio of total surface area to lateral surface area is .
1. x=5/2
2. x=3/4-3/4y
y belongs R
Answer:
(x-8)(x-5)
Step-by-step explanation:
The only way to solve this equation is to factor it. You would have to use the sum and product rule.