In order for the triangle to be isosceles, we have to set two lengths of the triangle equal to each other.
Let's take the lengths 5x-12 and x+20 and set them equal to each other.
5x - 12 = x + 20
Combine like terms by moving them over to their respective sides.
Subtract x from both sides of the equation.
4x - 12 = 20
Add 12 to both sides of the equation.
4x = 32
Divide both sides by 4.
x = 8
Check your answer by substituting.
5x - 12 = x + 20
5(8) - 12 = 8 + 20
40 - 12 = 28
28 = 28
Solution: x = 8
Answer:
581
Step-by-step explanation:
<u>Population of Grizzlys</u>
1970 >>> 270
2005 >>> 115% INCREASE
We need to find 115% of 270 and increase 270 by that amount. Firstly, converting percentage to decimal (division by 100):
115/100 = 1.15
So, that would be now:
1.15 * 270 = 310.5
Increasing, we get:
270 + 310.5 = 580.5
We round to 581
In 2005, the population was about 581
Answer:
45
Step-by-step explanation:
These work problems are always done in terms of fractions ie if both (Kevin & Eric) took 30mins to mow and Kevin took 1.5hrs (90mins) alone then we can make an equation like below
1/time took for both = 1/time took for Kevin + 1/time took for Eric
1/30 = 1/90+1/x ==> calling time took for Kevin x
solving the above 1/x = 1/30-1/90
1/x=2/90
x=45
Hi, here is the correct answer <3
Answer:
A rectangle.
Step-by-step explanation:
Since the cross-section will be perpendicular to the base, it is parallel to the lateral faces of the prism. This means it will be the same shape as the lateral faces.
The lateral faces of a rectangular prism are rectangles; this means this cross-section will be a rectangle as well.
false, false, true, false
