Answer:
Option A
Step-by-step explanation:
By using the definition of an exterior angle of a triangle,
"Measure of the exterior angle of a triangle is equal to the sum of measures of the opposite interior angles"
m∠STP = m∠SWT + m∠STW
Substitute the measures of the angles from the picture attached,
15x = (7x + 1) + (7x + 6)
15x = (7x + 7x) + (1 + 6)
15x = 14x + 7
15x - 14x = 7
x = 7
Therefore, Option A will be the correct option.
Answer:
The surface area of the figure = 962 ft²
Step-by-step explanation:
The rectangle dimensions and its area given below
Dimensions Number Area
12 x 7 2 12 x 7 x 2 = 168
16 x 7 1 16 x 7 = 112
12 x (16 + 5) 1 12 x 21 = 252
16 x 12 1 16 x 12 = 192
16 x 13 1 16 x 13 = 208
Triangle dimensions
Dimensions Number Area
b = 12 & h = 5 2 bh/2 = (12*5)/2 = 30
To find total area
Total area = 168 + 112 + 252 + 192 + 208 + 30 = 962 ft²
He walks 7,300 miles in 1 year
A proportional relationship is a relationship between variables such that the amount of one variable is a multiple of the other variable
A table showing the amount of sugar in different sizes of orange juice is presented as follows;
![\begin{array}{|c|cc|}\mathbf{Amount \ of \ orange \ juice, \ x}&&\mathbf{Quantity \ of \, sugar\ (g), \ f(x)}\\3&&8.25\\6&&16.5\\9&&24.75\\12&&33\\15&&41.25\end{array}\right]](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7B%7Cc%7Ccc%7C%7D%5Cmathbf%7BAmount%20%5C%20of%20%5C%20orange%20%5C%20juice%2C%20%5C%20x%7D%26%26%5Cmathbf%7BQuantity%20%5C%20of%20%5C%2C%20sugar%5C%20%28g%29%2C%20%5C%20f%28x%29%7D%5C%5C3%26%268.25%5C%5C6%26%2616.5%5C%5C9%26%2624.75%5C%5C12%26%2633%5C%5C15%26%2641.25%5Cend%7Barray%7D%5Cright%5D)
Reason:
The given parameter are;
12 ounces of orange juice contains 33 grams of sugar
Therefore, we have;
The amount of sugar per ounce of orange juice is given as follows;
Therefore, there are 2.75 grams of sugar per ounce of orange juice
which gives;
The amount of sugar in different sizes of orange juice, f(x) = 2.75·x
Where <em>x</em> represents the amount of orange juice, and f(x) represents the amount of sugar in the orange juice
A table showing the amount of sugar present in different sizes of orange juice is given as follows;
Learn more here:
brainly.com/question/18424356
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Answer:
11.60
Step-by-step explanation:
dozen =12
12 divided by 3 is 4. 2.90 times 4
11.60
