Since this is a right triangle, we can use the Pythagorean Theorem, which states a² + b² = c² in a right triangle.
Plugging our numbers in, we get:
(12)² + (35)² = c²
From there, we can square the numbers.
(144) + (1225) = c²
Then, we can add them together to find the sum;
(1369) = c²
And finally, we can find the square root of both sides.
(37) = c
Therefore, 37 is the answer and your answer choice is correct.
Answer:
y = 8
x = 21
Step-by-step explanation:
Find x first. Since there is a straight line, we can conclude it's equal to 180 degrees.
11x + 10 -61 = 180
Add 10 to negative 61.
11x - 51 = 180
Add 51 to both sides.
11x = 231
Divide 11 both sides
x = 21.
Now put x in the equations to solve.
This is for the small angle on the right side.
(21+10) = 31
This is for the big angle on the right side.
(10(21) - 61)
210 - 61 = 149.
Now for the other side, we know the degree for the smaller side on the left side since it's a vertical angle.
31 degrees for top left angle. Since we know this side is 180 just subtract 31 from 180 and you'll get 149.
18y + 5 = 149
Subtract 5 both sides.
18y = 144
y = 8.
Answer:
Option C is correct
$528 will the total cost spends by coffee shop
Step-by-step explanation:
Unit rate defined as the rates are expressed as a quantity of 1, such as 3 feet per second or 7 miles per hour, they are called unit rates.
As per the statement:
A coffee shop spends $408 for an order of 17 cases of paper cups.
Unit rate per cases = 
Now, if If the coffee shop adds 5 more cases of paper cups to the order
then,
total number of cases = 17 +5 = 22 cases
To find how much total cost coffee shop spends.
Total cost = unit rate 
total number of cases
= 
Therefore, total costs coffee shop spends = $528
do parentheses first which gives you 42-4+111 then aubtract to get 38+111 which equals 149
Answer:
depends on what the price of the bicycle is and the discount percentage
