Answer:
b) AC
Step-by-step explanation:
Exterior angle C is the sum of interior angles A and B. If angle A is 70, then angle B is 120-70 = 50. Angle C is the supplement of its exterior angle, so is 180-120 = 60.
The smallest angle is B, so the opposite side, AC, is the shortest side.
Hello!
Recall that the first number in the coordinate is 'x', and the second number is 'y'.
Since all the answer choices have '0' as the x-coordinate, we can substitute in this value for 'x' in the equation for the line to solve for the correct y-value.
y = 2(0) + 5
y = 5
The only answer choice that has this combination is D, (0, 5). This is the correct answer.
Answer: the number of boats that are in the marina is 105.
Step-by-step explanation:
Let x represent the number of boats that are in the marina.
Two-thirds of the boats in the marina are white. It means that the number of white boats in the marina is
2/3 × x = 2x/3
The remaining number of boats will be
x - 2x/3 = x/3
4/7 of the remaining boats are blue. It means that the number of boats that are blue is
4/7 × x/3 = 4x/21
The number of boats left would be
x/3 - 4x/21 = 3x/21
If there are 15 red boats, it means that
3x/21 = 15
3x = 21 × 15 = 315
x = 315/3
x = 105
Answer:
1 1/2 teaspoon of salt is required
Step-by-step explanation:
The recipe requires 3/4 cup of flour and Nick wants to make the recipe using 1 cup of flour.
The recipe requires 1 1/8 teaspoon of salt and Nick wants to know how much salt he heeds.
Consider short description:
3/4 cup of flour - 1 cup of flour,
1 1/8 teaspoon of salt - x teaspoon of salt.
Mathematically, you can wrte a proportion:
<u>3/4 </u> = 1 / x
<u>1 1/8 </u>
Then
3/4 * x = 1 x 1 1/8,
3x/4 = 9/8,
3x x 8 = 4 x 9,
24x = 36,
x = 36/24 = 3/2 = 1 1/2
