Answer: B. They are alternate interior angles, so angle 3 also measures 130°.
Step-by-step explanation:
Here, according to the given figure, lines a and c are parallel lines.
And pipe cleaner is a transversal which is passing through to these parallel lines.
Therefore, by the property of parallel lines, the corresponding and alternative exterior or interior angles made by the common transversal ( pipe cleaner) on the lines a and c must be equal.
And, Here and are alternative interior angles by lines a and c with the same transversal, So, they must be equal.
Thus,
Answer:
Step-by-step explanation:
Given
The attached figure
Required
Find x
To find x, we make use of the following equivalent ratios:
This gives:
Convert to fractions
Cross Multiply
Open brackets
Collect Like Terms
Multiply through by -1
B because all 3 angles in a triangle add up to 180 always
The volume of the <span>cylinder </span>= π r² h
r ⇒⇒⇒ radius
h ⇒⇒⇒ height
r = 5 ft and h = 3 ft
volume = π * 5² * 3 = 235.62 ft³
rounding to the nearest ft² = 236 ft³
The fourth choice is the correct answer
Answer:
Ounces of strawberry juice: 20 ounces
Ounces of water: 80 ounces
Step-by-step explanation:
For this problem, we can use the equation:
x + y = 100 ounces
Where x = The number of ounces of strawberry juice
and y = The number of ounces of water
Since we know that Molly uses four times as many ounces of water for each ounce of strawberry juice, we can conclude that:
y = 4x
With this information, we can use substitution to solve for x.
x + y = 100 ounces
x + (4x) = 100
Combine like-terms.
5x = 100
x = 20
Now that we know the value of x, we can figure out how many ounces of strawberry juice and how many ounces of water Molly needs.
Since x = The number of ounces of strawberry juice, Molly needs to use 20 ounces of strawberry juice.
Since y = The number of ounces of water, Molly needs to use 80 ounces of strawberry juice. (y = 4x | x = 20 | y = 4(20) | y = 80)
~Hope this helps!~