<h3>
Answer: 6</h3>
Work Shown:
He eats ten 12-calorie crackers, so that is 10*12 = 120 calories total
If x is the number of 20-calorie cookies, then the total number of calories here is 20x. We want this to be 120, so,
20x = 120
x = 120/20 .... divide both sides by 20
x = 6
He must eat six 20-calorie cookies to get 120 calories total
The least common multiple of 5 and 12 is 60.
Answer:
x = 9
Step-by-step explanation:
6x - 2(x - 5) = 46 ← distribute parenthesis and simplify left side
6x - 2x + 10 = 46
4x + 10 = 46 ( subtract 10 from both sides )
4x = 36 ( divide both sides by 4 )
x = 9
Note: Consider we need to find the vertices of the triangle A'B'C'
Given:
Triangle ABC is rotated 90 degrees clockwise about the origin to create triangle A'B'C'.
Triangle A,B,C with vertices at A(-3, 6), B(2, 9), and C(1, 1).
To find:
The vertices of the triangle A'B'C'.
Solution:
If triangle ABC is rotated 90 degrees clockwise about the origin to create triangle A'B'C', then

Using this rule, we get



Therefore, the vertices of A'B'C' are A'(6,3), B'(9,-2) and C'(1,-1).
Answer:
16.26°
Step-by-step explanation:
1. tanΘ= 7/24
2.
Θ
3. Θ = 16.26°