Equals 180 because the exterior angle in question is equal to the sum of the other two angles in the triangle. In other words, the other two angles in the triangle (the ones that add up to form the exterior angle) must combine with the angle in the bottom right corner to make a 180 degree angle.

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Add whole numbers.

2x + 1 + 37 + 118 = 180

Add whole number (if there is any).

2x + 38 +118 = 180

Subtract 156 from both sides to have one side have a variable.

2x + 156 = 180

-156 -156

Divide both sides by 2 because you don't need the whole number with the variable.

2x = 24

--- ----

2 2

You get the answer as 12.

x = 12

Check:

2(12) + 1 + 37 + 118 = 180

24 + 1 + 37 + 118 = 180

25 + 37 + 118 = 180

62 + 118 = 180

180 = 180

6 0

2 years ago

Luigi uses 39 cups of flour for every 6 pizzas he makes.Complete the table using equivalent ratios. Pizzas

zlopas [31]

Answer:

Part 1) The number of cups of flour needed to make 4 pizzas is 26

Part 2) The number of pizzas Luigi can make with 13 cups of flour is 2

Step-by-step explanation:

we know that

Luigi uses 39 cups of flour for every 6 pizzas he makes

Let

y ----> the number of cups of flour used

x ---> the number of pizzas he makes

In this problem

The relationship between the variables x, and y, represent a proportional variation

we have the ordered pair (6,39)

$\frac{y}{x}=\frac{39}{6}$

Part 1) Find out the number of cups of flour needed to make 4 pizzas

using a proportion

$\frac{y}{4}\ \frac{cups\ of\ flour}{pizzas}=\frac{39}{6}\ \frac{cups\ of\ flour}{pizzas}$

Solve for y

$y=\frac{39}{6}(4)$

$y=26\ cups\ of\ flour$

Part 2) Find out the number of pizzas Luigi can make with 13 cups of flour

using a proportion

$\frac{13}{x}\ \frac{cups\ of\ flour}{pizzas}=\frac{39}{6}\ \frac{cups\ of\ flour}{pizzas}$

Solve for x

$x=13(6)/39$

$x=2\ pizzas$

6 0

2 years ago

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