Answer: Infinite
Step-by-step explanation:
We know that in a triangle the sum of all the interior angles must be 180°.
The given angles 50º, 90º and 40º
The sum of the angles 50º+ 90º + 40º= 180°
Thus, a triangle is possible with the given measurement.,
Let there is another triangle with the given angles, then by AAA similarity criteria they are similar.
Similarly, all the triangles with the same measurements of the angles must be similar.
Therefore, there are infinite number of triangles can be possible with angles measuring 50º, 90º, and 40º.
Answer:
Budget annual payroll = $168,480
Step-by-step explanation:
Given:
Expect sales per week = $9,000
Revenue over sales = 36% = 0.36
Find:
Budget annual payroll = ?
Computation:
Assume number of week per year = 52
⇒ Budget annual payroll = Expect sales per week × Number of week per year × Revenue over sales
⇒ Budget annual payroll = $9,000 × 52 × 0.36
⇒ Budget annual payroll = $168,480
Answer:
y = 4
Step-by-step explanation:
y = 4
The line will always go along y = 4 and therefore is parallel to the x axis
Well, since you have the value of b, the first thing you want to do is substitute that value in for b.
5a - 10(3) = 45
10*3 = 30
5a - 30 = 45
Now, to get the variable by itself (a) you have to + 30 because you have to reverse the subtraction.
5a = 75
Now, you divide by 5 to finish getting a by itself.
a = 15
Hope this helps!
Answer:
Step-by-step explanation:
Perimeter of Square = 40 cm
4*side = 40
side = 40/4
side = 10 cm
Area of shaded region= Area of square - [Area of triangle 1 + Area of triangle 2]
![=[side*side]-[\frac{1}{2}*b*h+\frac{1}{2}*b*h]\\\\=[10*10]-[\frac{1}2}*3*10+\frac{1}{2}*10*6]\\\\=100-[3*5+5*6]\\\\=100-[15+30]\\\\=100-45\\\\=55cm^{2}\\](https://tex.z-dn.net/?f=%3D%5Bside%2Aside%5D-%5B%5Cfrac%7B1%7D%7B2%7D%2Ab%2Ah%2B%5Cfrac%7B1%7D%7B2%7D%2Ab%2Ah%5D%5C%5C%5C%5C%3D%5B10%2A10%5D-%5B%5Cfrac%7B1%7D2%7D%2A3%2A10%2B%5Cfrac%7B1%7D%7B2%7D%2A10%2A6%5D%5C%5C%5C%5C%3D100-%5B3%2A5%2B5%2A6%5D%5C%5C%5C%5C%3D100-%5B15%2B30%5D%5C%5C%5C%5C%3D100-45%5C%5C%5C%5C%3D55cm%5E%7B2%7D%5C%5C)
Percentage = (55/100)*100=55%
