5/4(20x+12) =-35
5/4•20x+5/4•12=-35
25x+15=-35
25x+15-15=-35-15
25x=-50
x=-2
Answer:
new slope = 4/3
Step-by-step explanation:
-3/8 is perpendicular to the new slope
=> new slope = -8/3 * -1/2
= 8/6
= 4/3
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Answer:
I think it would be 35t= this would be the equation
35(25)=875
hope this helps
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Step-by-step explanation:
Answer:
Sum of the interior angles = 1440 degrees.
Step-by-step explanation:
There are a total of 10 interior angles in the decagon. Now for all polygons the sum of all the exterior angles is 360 degrees. There are 10 exterior angles in the decagon and, since it is regular, each of them = 360/10 = 36 degrees. Each interior angle therefore measures 180 - 36 degrees and the sum of the interior angles is this value times ten.
360 / 10 = 36.
180 - 36 = 144.
10 * 144 = 1440 degrees.
Answer:
B. (6√2 + 12) inches
Step-by-step explanation:
The length of the kite edge at upper left is ...
x/sin(45°) = x/(1/√2) = x√2
The length of the kite edge at upper right is ...
x/sin(30°) = x/(1/2) = 2x
The perimeter of the kite is double the sum of the lengths of these edges:
P = 2(x√2 +2x) = 2x(√2 +2)
For x=3 in, this is ...
P = 2·(3 in)(√2 +2)
P = (6√2 +12) in
_____
The sine of an angle is the ratio of the side opposite to the hypotenuse. Here, the side opposite is x, and the hypotenuse is the kite edge of interest.
x/hypotenuse = sin(angle)
hypotenuse = x/sin(angle) . . . . . solve for hypotenuse