I hope this helps you
find trapezoid sides from right triangle
base is 2 unit and the height is 6 unit
let's find hypothenus(trapezoid side)=x
x^2=2^2+6^2=40
x=2 square root of 10
let's sum of the trapezoid sides
2x+2 bases
4 square root of 10+(7unit+3unit)
4 square root of 10 +10
Answer:
66
Step-by-step explanation:
Angle 2 and 4 are supplementary, so if angle 4 is 123, then 180-123=57.
So angle 2 is 57.
Then, if angle 2 and 3 are 57 and we know that all angles of a triangle have to add up to 180, then:
57+57+angle 1=180
114+ angle 1=180
angle 1= 66
<h3>
Answer: Choice B</h3>
=============================================
Explanation:
If you graphed the equation 2x-5y = 14, you'll find it has a positive slope. It turns out the slope in this equation is 2/5, which is positive. A positive slope means the line goes uphill as you move from left to right. This means we can rule out choice because of this (since we want the line to slope downward).
Now let's turn to choice D. If we multiply both sides of the first inequality by -1, then we go from 
to 
. Note the inequality sign flips. This always happens when we multiply both sides by any negative number. The inequality implies that the shaded region will be above the boundary line, but this contradicts the drawing which shows the shaded region is below the diagonal boundary line. We can rule out choice D because of this. Choice A can be ruled out for similar reasoning.
You should find that only choice B is left. The diagonal line is 2x+5y = 14, and we shade below this boundary line, as well as shading to the right of the y axis (to indicate all values have positive x coordinates). Values on the boundary count as solution points as well.
Markup = $4
b) markup as a percentage of cost is 33.3%
Step-by-step explanation:
Markup
markup = selling price - cost
= $13 - 9
... markup = $3
Markup as a Percentage of Cost
To find the percent markup, divide the markup by the reference value and multiply the ratio by 100%. The reference value for markup is usually cost price, but sometimes may be selling price.
... markup / cost × 100% = 3/9×100% = 33 1/3% ≈ 33.3%
The growth factor is 10.5
