Answer:
<h2>210 cm³</h2>
Step-by-step explanation:
let V represent the volume of the triangular prism
V = base × height
base = (7×6)/2 = 42/2 = 21
height = 10
then
V = 21×10 = 210
Answer:
see below
Step-by-step explanation: 5 23 8 03
the lenght of the longer leg of a right triangle is 9 ft longer than the lenght of the shorter leg x. The hypotenuse is 9 ft shorter than twice the lenght of the shorter leg.
shorter leg = x
longer leg = x + 9
hypotenuse = 2x - 9
Pythagorean theorem = a² + b² = c²
shorter-leg² + longer-leg² = hypotenuse²
x² + (x+9)² = (2x - 9)² solve for x
x² + (x+9) (x+9) = (2x - 9)(2x - 9)
x² + (x²+18x+81) = (4x² - 36x + 81)
(2x²+18x+81) = (4x² - 36x + 81)
0 = 2x² -54x
0 = x(2x - 54)
0 = x and 0 = 2x -54
54 = 2x
27 = x
shorter leg = 27
longer leg = 36
hypotenuse = 45
divided all the values by 9 and you get a 3, 4, 5 right triangle, so the answer checks correct
Answer:
This is a function because each x value has a different y value. If one of x values would of had two different y values then it would of not have been a function
Step-by-step explanation:
Answer:
16 =x
Step-by-step explanation:
The angles are corresponding angles and since the lines are parallel, they are equal
5x+18
=7x-14
Subtract 5x from each side
5x+18 -5x=7x-5x-14
18 = 2x-14
Add 14 to each side
18+14 = 2x-14+14
32 = 2x
Divide by 2
32/2 = 2x/2
16 =x
Answer:
JL is not congruent to KM
Step-by-step explanation:
The length of JL is 23-21 = 2.
The length of KM is 25-22 = 3
So, because the lengths are not equal,
JL is not congruent to KM
