Let's use the line on the right side. In the smaller triangle, the length is 4. The same side on the bigger triangle is 12. The ratio of the smaller triangle to the bigger triangle is:

$\frac{4}{12} \rightarrow 4:12$

$12 \div 4 = 3$

To find a side length for the bigger triangle, all you need to do is multiply by 3. The same side on the smaller triangle is 5. Multiply by 3

$5 \times 3 = 15$

That means x = 15

8 0

3 years ago

1.) At a restaurant, your bill has a food total of $33.50. Find the amount of a 16% tip on the food total.

lukranit [14]

$5.36 hope this helps

8 0

3 years ago

svet-max [94.6K]

Answer:

The polygon has 9 sides

Step-by-step explanation:

we know that

A regular polygon has equal length sides and equal interior angles

step 1

Find the measure of the interior angle

Remember that

The interior angle plus the exterior angle must be equal to 180 degrees (form a linear pair)

Let

x ----> the measure of each interior angle in the regular polygon

$x+40^o=180^o$

solve for x

$x=180^o-40^o=140^o$

step 2

Find the number of sides of the regular polygon

we know that

The measure of each interior angle in a regular polygon is given by the formula

$x=\frac{(n-2)180^o}{n}$

where

n is the number of sides of the polygon

substitute the given values

$140^o=\frac{(n-2)180^o}{n}$

solve for n

$140n=180n-360\\180n-140n=360\\40n=360\\n=9\ sides$

therefore

The polygon has 9 sides

8 0

3 years ago

Pleaseeeeeeee helllppppppppppp

Sophie [7]

Answer:

Distributive property

Step-by-step explanation:

Think of Distributive property being a party. the host is outside of the house (the parenthesis) and wants to greet everyone at the party. so 2x3k=6k and 2x5=10. so you replace 2(3k+5) with 6k+10

7 0

3 years ago