Answer:
122*
122 degrees
Step-by-step explanation:
m∠GEF is 13 less than 5 times m∠DEG and m∠DEF = 149*
Solution:
As per given data,
m∠GEF = 5m∠DEG - 13* … (i)
m∠DEF = 149* -> m∠GEF + m∠DEG = 149* .. (ii)
Substituting value of m∠GEF in (ii)
We get,
(5m ∠DEG - 13*) + m∠DEG = 149*
6m ∠DEG - 13* = 149*
6m ∠DEG = 149* + 13* = 162*
m∠DEG = * = 27*
Substituting value of m∠DEG in (i)
We get,
m∠GEF = 5(27*) - 13*
m∠GEF = 135* - 13* = 122*
The dimensions i.e. length and width of the deck in the drawing is 8 and 6.4 inches respectively.
Given that the length of the previous deck = 15 feet
The width of the previous deck = 12 feet
Since the new deck will add 5 feet to the length and 4 feet to the width,
The length of the new deck = 15 + 5 = 20 feet
The width of the new deck = 12 + 4 = 16 feet
Also given that a drawing of the new deck uses a scale of 1 inch = 2.5 feet.
So, The length of the deck in the drawing = 20/2.5 inches = 8 inches
The width of the deck in the drawing = 16/2.5 inches = 6.4 inches
Therefore, the dimensions i.e. length and width of the deck in the drawing is 8 and 6.4 inches respectively.
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71° is the answer. 44°+27°=71°
2x-6=2x+2
We move all terms to the left:
2x-6-(2x+2)=0
We get rid of parentheses
2x-2x-2-6=0
We add all the numbers together, and all the variables
-8!=0
There is no solution for this equation
Answer:
cost of one cupcake = $2.75
cost of one brownie = $1.25
Step-by-step explanation:
Let c = number of cupcakes
Let b = number of brownies
Equation 1: 5c + 2b = 16.25
Equation 2: 7c + 6b = 26.75
Multiply equation 1 by 3:
⇒ 15c + 6b = 48.75
Now subtract equation 2 from this equation to eliminate 6b:
⇒ 8c = 22
Divide both sides by 8:
⇒ c = 2.75
Substitute c = 2.75 into one of the original equations and solve for b:
⇒ 5(2.75) + 2b = 16.25
⇒ 13.75 + 2b = 16.25
⇒ 2b = 2.5
⇒ b = 1.25
Therefore, cost of one cupcake = $2.75 and cost of one brownie = $1.25