Answer:
77
Step-by-step explanation:
Let's let the unknown number be x.
Supplementary angles add up to a total of 180 degrees. Since we already know one angle is 103, this means that:
Subtract 103 from both sides:
So, the measure of its supplementary angle is 77 degrees.
And we are done!
Answer:
2= 4 1/6
Step-by-step explanation:
draw the diagram and extend BC to D
draw AD
use the Pythagorean Theorem with triangle ADC
call AD "h"
call DC "x"
h2+x2=102
now use the Pythagorean Theorem with triangle ADB
AD=h, AB=16, DB=(x+9)
h^2+(x+9)^2=16^2
from the first equation get h^2=10^2-x^2
from the second equation get h^2=16^2-(x+9)^2
set the two right sides equal to each other because they both equal h2
10^2-x^2=16^2-(x+9)^2
100-x^2=256-x^2-18x-81
cancel -x2 from both sides
100=256-18x-81
100=175-18x
100-175=-18x
-75=-18x
18x=75
x=75/18
x=4.1666... inches or 4 1/6 inches for the length of DC
Answer:
Step-by-step explanation:
One of the most important things to understand about lines is the definition of slope. Slope is the 'steepness' of the line, also commonly known as rise over run. We can calculate slope by dividing the change in the y-value between two points over the change in the x-value.
Answer:
x = 45
Step-by-step explanation:
Each corner of the square is a right angle measuring 90 degrees.
x + 45 = 90
x = 45
First find the area of the pizza:
area = PI x r^2
diameter = 16 inches...radius = 16 /2 =8 inches
area = 3.14 x 8^2 = 3.14 x 64 = 200.96 sq inches. Round to 201 square inches
the pizza has 6 calories per square inch so now multiple the total square inches by 6 to get total calories:
201 * 6 = 1206 total calories
now divide total calories by 144 to find the number of slices:
1206 / 144 = 8.375 so the pizza can be cut into 8 slices and each slice would have a little over 144 calories
