<h3>
Answer: 40 inches</h3>
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Explanation:
- x = first piece
- 2x = second piece, since its twice as long as the first
- 5x = third piece, since its five time as long as the first
x is some positive real number, and the units of each are in inches.
Add up the smaller pieces and we should get 64 inches back again
x+2x+5x = 64
8x = 64
x = 64/8
x = 8
The first piece is 8 inches long.
2x = 2*8 = 16 is the length of the second piece (in inches)
The third piece is 40 inches because 5x = 5*8 = 40
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Summary:
first = 8 inches
second = 16 inches
third = 40 inches
Check: 8+16+40 = 64, which confirms the answer
Answer:
P = 6w + 18
Step-by-step explanation:
A rectangle is a plane shape having a LENGTH and a WIDTH.
Length (l) = w + 4
Width (w) = 2w + 5
To write a simplified equation in terms of w to represent the total length, let's used the idea of a PERIMETER of a RECTANGLE.
Perimeter (P) = 2 ( l + b)
Where l = length= w + 4
Where b = width = 2w + 5
P = 2( w + 4 + 2w + 5)
P = 2( 3w + 9)
P = 6w + 18
Answer:
Yes the ladder is safe because 59.25 degrees < 75 degrees
Step-by-step explanation:
In the below photos I have included a screenshot of the equation I used, which I got from another user, and my work with an unfinished diagram and completed equations to the side
Answer:
x = 27°, ∠JLK = 55°
Step-by-step explanation:
From the diagram in the question above,
The exterior angle of a triangle is equal to the sum of the two opposite side
3x+13 = 39+(2x+1)
3x+13 = 40+2x
collect like terms and solve for x
3x-2x = 40-13
x = 27°.
∠JKL = 2x+1
Substitute the value of x
∠JKL = 2(27)+1
∠JKL = 54+1
∠JKL = 55°
Answer:
angle C = 78
angle D = 108
Step-by-step explanation:
the measure of angle A is 102
To find the measure of angle C
let Angle C be x
102 + x = 180 (linear pair)
x = 180 -102
x = 78
angle C = 78
angle B = 78 (vertically opposite angles are equal)
angle D = 108 (vertically opposite angles are equal)
