Answer: She gained 340 points!
Step-by-step explanation: Tori lost 80 in the morning while playing geology, meaning she has reduced 80 from her total count. After lunch, by earning 420, she gains 420 on top of the reduced 80. All you have to do is subtract 80 from 420, giving you a gain of 340 points.
A; you need to bring down the first term, 2, multiply it by -2, resulting in -4. Add -4 to 2 to get -2. Multiply -2 and get a product of 4, and add that to the third term, -4. That would give you 2, that would then be multiplied by -2 to get -4 and when added to 4, would give you a remainder of 0.
The quotient coefficients would be 2, -2, and 2, which becomes 2x² -2x + 2.
Hope this helped :)
Answer:
C = 90
Step-by-step explanation:
ABC is similar to DEF
That means <A = <D
<B = <E
<C = <F
Since ABD is a triangle
A + B + C = 180
We know A = 75 and E = 15 and E = B = 15
Substituting what we know
75 + 15 + C =180
Combine like terms
90 + C = 180
Subtract 90 from each side
90-90 +C = 180-90
C = 90
Answer:
$48
Step-by-step explanation:
The video store sold 5 movies for 12 dollars .
Each movie cost 12/5 dollars
Which is 2.4dollars .
20 movies will be sold for
$2.4 x 20 = $48
Answer:
Step-by-step explanation:
Since this is a 30-60-90 triangle, we need the Pythagorean triple for such a triangle. the side length across from the 30 degree angle is labeled as x, the side across from the 60 degree angle is x√3, and the hypotenuse is 2x. Since we know the side length of the side across from the 60 degree angle, we use that identity and solve for x:
and
and rationalizing the denominator,
This is the side length of the side across from the 30 degree angle. In order to find the hypotenuse, we have to multiply this value by 2 to get
12√3, the third choice down.