Step-by-step explanation:
all angles of a triangle sum to 180
180 = 15x + 24x +21x
180=60x
solve for x
then substitute that for 24(x) to get the angle
Answer:
280
Step-by-step explanation:
V=Bh
V=1/2(7x10)8 *it is a triangluar pyrmid so the base is a triangle*
V=1/2x70x8
V=35x8
V=280
Answer:280
Answer:
Step-by-step explanation:
Jim drank 2 and 4/5 orange juice
2and 4/5=14/5 orange juice
jack drank 1and 1/10 less than Jim= 11/10 less than Jim
I introduce the whole numbers into the fractions
we will convert the number 14/5 into a fraction that has the denominator 10, by multiplying by 2 both numerator and denominator
(14/5 )*2=28/10
Now we can find out how much juine Jack drank
28/10- 11/10= 17/10
so Jack drank 17/10 orange juice , the fraction can be written also as
1 and 7/10
Answer:
(x + 1)² = 7
Step-by-step explanation:
Given:
-2x = x² - 6
We'll start by rearranging it to solve for zero:
x² + 2x - 6 = 0
The first term is already a perfect square so that's fine. Normally, if that term had a non-square coefficient, you would need to multiply all terms a value that would change that constant to a perfect square.
Because it's already square (1), we can simply move to the next step, separating the -6 into a value that can be doubled to give us the 2, the coefficient of the second term. That value will of course be 1, giving us:
x² + 2x + 1 - 1 - 6 = 0
Now can group our perfect square on the left and our constants on the right:
x² + 2x + 1 - 7= 0
x² + 2x + 1 = 7
(x + 1)² = 7
To check our answer, we can solve for x:
x + 1 = ± √7
x = -1 ± √7
x ≈ 1.65, -3.65
Let's try one of those in the original equation:
-2x = x² - 6
-2(1.65) = 1.65² - 6
- 3.3 = 2.72 - 6
-3.3 = -3.28
Good. Given our rounding that difference of 2/100 is acceptable, so the answer is correct.
