Answer:
m∠C = 26°
m∠D = 108°
m∠E = 46°
Step-by-step explanation:
Set up the equation adding the expressions together to equal 180 (sum of all angles in a triangle)
(2x) + (x+3) + (5x-7) = 180
Remove the parentheses
2x + x+ 3 + 5x - 7 = 180
Add like terms
8x - 3 -7 = 8x -4 = 180
8x - 4 = 180
Add 4 on each side to cancel it out on the right
8x - 4 = 180
+4 = +4
8x = 184
Divide each side by 8 to get the variable by itself
8/8 =1 184/8 = 23
x = 23
Substitute x in eac expression
2x = 2(23) = 46°
x + 3 = 23 + 3 = 26°
5x - 7 = 5(23) - 7 = 115 -7 = 108
Chek it by adding all the degrees to make sure it equals 180
46 + 26 + 108 = 72 + 108 = 180
Answer:
x = 55
Step-by-step explanation:
a triangle's angles must equal when added up to 180.
so
76 + 49 + x = 180
combine terms
125 + x = 180
x = 55
Answer:
The Total amount of of 33 boxes of chocolates including taxes is $838.358
Step-by-step explanation:
Given as :
The sales tax rate for city = 4.306%
The sales tax rate for the state = 44%
Total number of boxes = 33
The price of each chocolates = $17.13
So , The price of 33 boxes of chocolates = $17.13 × 33
I.e The price of 33 boxes of chocolates = $565.29
Now total tax including state and city = 4.306% + 44% = 48.306 %
So, The tax amount paid for 33 boxes of chocolates = 48.306 % of $565.29
∴ The tax amount paid for 33 boxes of chocolates = 48.306 % × $565.29
= 0.48306× $565.29
= $273.068
∴ The Total amount of of 33 boxes of chocolates including taxes = $565.29 + $273.068 = $838.358
Hence The Total amount of of 33 boxes of chocolates including taxes is $838.358 . Answer
The standard deviation is the square root of the variance
so if the variance is 256, then the standard deviation is : sqrt 256 = 16 <==
Answer:
20-x; -20+x; -20-x; 20+x
Step-by-step explanation:
|14-x+6|
|20-x|
20-x; -20+x; -20-x; 20+x
