Answer:
x = 6
Step-by-step explanation:
x/16 = 3/8
Step 1: Cross-multiply.
x/16 = 3/8
x*(8) = (3)*(16)
8x = 48
Step 2: Divide both sides by 8.
8x/<em>8</em> = 48/<em>8</em>
<em>*Ta da!*</em>
x = 6
- Have a great day! -
Answer:
d = 0.4
Step-by-step explanation:
Given
- 10(d + 1) = - 14 (divide both sides by - 10 )
d + 1 = 1.4 ( subtract 1 from both sides )
d = 0.4
The given pair of lines are not perpendicular.
<h3>What is a line?</h3>
The line is a curve showing the shortest distance between 2 points.
5x - 5y = -2 - - - - - (1)
Transform the equation into standard form,
5x + 2 = 5y
y = 5x /5 + 2/5
y = x + 2/5
The slope of equation 1 is
and intercept c = 2 / 5
Similarly
x + 2y = 4 - - - - - - - -(2)
Transform it into standard form
y = -x/2 + 4 /2
y = -x / 2 + 2
Slope of the equation 2
= -1 / 2 and intercept c = 2
Slope of line 1 * slope of line 2 = 1 * -1/2 = -1/2
Since the lines are not perpendicular because the pair of lines does not satisfy the property of perpendicular lines i.e

Thus, the given pair of lines are not perpendicular.
Learn more about lines here:
brainly.com/question/2696693
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Multiply your equation by the inverse of the coefficient of d to get d by itself.

With d on the left, this is
... d = r·t
Answer:
106°
Step-by-step explanation:
Given that the points B, C and D are colinear, it means that
2x + 40 = 5x + 10
collecting like terms
40 - 10 = 5x - 2x
3x = 30
x = 10
Hence the angle ∠E
= 5(10) + 10
= 60°
∠BCE = X + 4
= 10 + 4
= 14°
Given that the sum of angles in a triangle is 180°
∠D + 14 + 60 = 180
∠D = 180 - 74
= 106°