Answer:
13.9cm
Step-by-step explanation:
13^2 = 169
5^2 = 25
169 + 25
= 194
13.9
Answer: 45
Explanation: two angles that form a Line always equal 180 degrees, so we start with the equation 180-u+47, which is the measure of the missing interior angle measure. All of the angles inside of a triangle also equal 180 degrees, so we can set up this equation to find U:
u-18+u+(180-u+47)=180
We can start to simplify by first simplifying what’s inside the parenthesis:
u-18+u+153-u=180
Then you solve the equation to get
U=45 degrees
Answer:
8 one-dollar bills
3 five-dollar bills
2 ten-dollar bills
Step-by-step explanation:
Let x = # of one-dollar bills, y = # of five-dollar bills, and z = # of ten-dollar bills. Total amount in the wallet is $43, so the first equation would be 1x + 5y + 10z = 43. Next, there are 4 times as many one-dollar bills as ten-dollar bills, so x = 4z. There are 13 bills in total, so x + y + z = 13
x + 5y + 10z = 43
x = 4z
x + y + z = 13
x + 5y + 10z = 43
x + 0y - 4z = 0
x + y + z = 13
5y + 14z = 43
-y - 5z = -13
5y + 14z = 43
-5y - 25z = -65
-11z = -22
z = 2
x = 4z
x = 4*2 = 8
x + y + z = 13
8 + y + 2 = 13
10 + y = 13
y = 3
Answer:
104 degrees
Step-by-step explanation:
First let's start by finding Angle DGC. Since Angle FGD and DGC are a linear pair, Angle DGC = 180-90 = 90 degrees.
Next we need to find GDC
Angles in a triangle add up to 180 degrees therefore...
Angle GDC + DCG + DGC = 180
Plug in the values we found into the equation
Angle GDC + 37 + 90 = 180
Angle GDC + 127 = 180
Angle GDC = 53
Therefore Angle ADC = 53 + 51 = 104 degrees
Since ABCD is a parallelogram, then opposite angles are equal therefore...
Angle B = 104 degrees
L = H - 24
L = low temperature.
H = High Temperature = 92 degrees
L = 92 - 24
L = 68
