Answer:
Step-by-step explanation:
Triangles EFG and FGH are similar.
x/15 = 36/39
x/15 = 12/13
x = 15*12/13 = 180/13 ≈ 13.8 units
1x + 4 (-×+3) = 6
1× -4× + 12 = 6
-3× = -6
× = 2
2× +2y = 6
× - y = 3
multiply second equation by 2x - 2y = 6
now add equations
4x = 12 so x = 3. substitute 3 - y = 3 so y is 0. check in first equation 2×3 + 2×0 = 6. 6+0= 6
<h3>
Answer:</h3>
33
<h3>
Step-by-step explanation:</h3>
Vocabulary
Before going into an explanation, let's go over some important vocabulary.
- Collinear - Collinear describes points that are on the same line. This means that there is 1 line with the 3 points L, M, and N.
- Segment addition postulate - The segment addition postulate states that if there are 2 collinear points (A and C) with another point in between them (B), then the statement AB + BC = AC must be true.
Solving for MN
Using the postulate above we can make a new equation. First, let's set up an equation that mirrors the postulate.
Now, let's plug in the values we know.
Then, solve.
This proves that a possible value of MN is 33.
Answer:
18 Cups of Apples
3 Cups Brown Sugar
1 and 1/8 Cup of Oats
1 and 1/2 Cups Butter
2 and 1/4 Teaspoon Salt
3 and 3/8 Teaspoon Cinnamon
9/16 Teaspoon Allspice
4 1/2 Cup Flour
Step-by-step explanation:
Serving for 18 people is 4.5 times the original amount of ingredients.
Answer:
Answer C: The distribution for town A is positively skewed, and for town B is symmetric.
Step-by-step explanation:
Notice that for town A the third quartile is at a longer distance from the mean (to the right) than the first quartile (shorter distance to the left), and also, the maximum value (55) is way to the right of the mean (20), compared to the minimum value (10) to the left. This distribution is therefore skewed to the right (positively skewed).The distribution for town B on the other hand looks absolutely symmetric from the mean (30) to the right (55) and to the left (5).
