Answer:
24mm
Step-by-step explanation:
since it's a similar triangle, we solve;
EH/EG=DH/DG
EH=56mm;
EG=44.8mm;
DH=35mm;
DG=X+4.
Fix them,
56/44.8=35/x+4
cross multiply
56(x+4)=35×44.8
56x+224=1,568
collect the like term
56x=1,344
divide via by 56
56x/56=1344/56
x=24mm
Check/ verify
EH/EG=DH/DG
56/44.8=35/24+4
56/44.8=35/28
CROSS MULTIPLY OVER THE EQUAL SIGN.
56×28=35×44.8
1,568=1,568
THAT'S CORRECT.
Answer:
The cost is y = $185
Step-by-step explanation:
Let us have points spelt out here
(2500,125) and (3200,146)
The general form of a straight line equation is;
y = mx + b
where m is slope
So to calculate the slope in this case, we have
m = (146-125)/(3200-2500)
m = 21/700 = 0.03
So we have the equation as
y = 0.03x + b
To get b, we use any of the two points
Let us use (2500,125)
So we have
125 = 0.03(2500) + b
125 = 75 + b
b = 125-75
b = 50
So the complete equation of the line is;
y = 0.03x + 50
So here, we want to find the cost of a house with 4500 square feet
simply substitute 4,500 for x
y = 0.03(4500) + 50
y = 135 + 50
y = $185
The answer is: six more than negative two times x
If you plug in the values 0, 1, 2 for x you will see it matches the graph.
y = -2x + 6
Answer:

Step-by-step explanation:
Given the indicinal expression (2x^2 y^-2 / y^5)^-3
In indices

Applying to solve the question

Answer:
66
Step-by-step explanation:
subtract each external angle by 180 to find the interior angle.
Since you know that all of the interior angles add up to 540 because 180(n-2)
with n is how many sides in the polygon
so 180(5-2)=540
now take each value and subtract it by 180
180-(45)=135
180-(40)=140
180-(x)=180-x
180-(77)=103
180-(2x)=180-2x
135+140+180-x+103+180-2x=540
738-3x=540
x=66
hope that helps :)
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