If g is the gallons of gas, and the truck holds up to 20 gallons, then g can be anything from 0 to 20.
If there is zero gallons of gas (g = 0) then the truck will travel zero miles because M(0) = 17(0) = 0.
The max miles depends on the max gallons of gas, so the miles possible with 20 gallons is M(20) = 17(20) = 340.
So, g ranges from 0 to 20 and M(g) ranges from 0 to 340.
Therefore your answer is the last option.
Since (x - 2)° and (2x + 5)° represent a pair of supplementary angles, then their sum must be equal to 180°. Therefore, the two supplementary angles are 57° and 123°.
The answer should be 97 trash cans…
Answer:
All angles in this diagram are 51 or 129. See below for a specific angle.
Step-by-step explanation:
Parallel lines cut by a transversal have specific angle relationships.
- Alternate Interior Angles are angles across the transversal between pairs of parallel lines. These angles are congruent. Example: 3, 6, 7, and 10 are all congruent and are pairs of alternate interior angles. 4, 5, 8, and 9 are congruent as well.
- Alternate Exterior Angles are angles across the transversal outside of the parallel lines. These angles are congruent. Example 2 & 11 are congruent alternate exterior angles. 1 and 12 are another set.
- Supplementary angles are angles which form a line and add to 180. If angle 1 + angle 2 = 180 and angle 2 = 129, then Angle 1+ 129 =180. Angle 1 must be 51 degrees.
- Vertical angles are angles across a vertex. They are congruent. Example: Angle 2 and Angle 3 are both 129.
Using these relationships, the following angles have the following measures:
Angle 1 = 51
Angle 2 = 129
Angle 3 = 129
Angle 4 = 51
Angle 5 =51
Angle 6 = 129
Angle 7 = 129
Angle 8 = 51
Angle 9 = 51
Angle 10 = 129
Angle 11 = 129
Angle 12 = 51
Answer:
D. Miko found an incorrect quotient and checked her work using multiplication incorrectly
Step-by-step explanation:
We are given the equation

This can be rewritten as

Miko's work is incorrect as she did not multiply by the reciprocal of denominator's fraction. Instead she just multiplied by that fractions.