Answer:
Option (D)
Step-by-step explanation:
Area of a rectangle = Length × width
Area of large rectangle = (3x - 1)(3x + 7) square units
= (9x² + 21x - 3x - 7)
= 9x² + 18x - 7
Area of small rectangle = (2x + 5)x
= (2x² + 5x) square units
Area of the shaded region = Area of large rectangle - Area of small rectangle
= (9x²+ 18x - 7) - (2x² + 5x)
= (9x² - 2x²) + (18x - 5x) - 7
= (7x² + 13x - 7) square units
Therefore, Option (D) will be the correct option.
Okay, so we know the first triangle is an equilateral and the second is an isosceles. (the lines indicate congruence)
To find x, we have to figure out the other triangle's angles.
Since it is equilateral, all its sides are 60 degrees.
All triangles angles add up to 180. 180/3= 60
To find x we subtract the angle beside it by 180 to find the angle's degree.
180-60= 120. x= 120.
Since it is an isosceles, the last two angles are the same.
Subtract the vertex from 180.
180- 120= 60
Divide that by 2. (since there are two angles)
y= 30 Or choice A. <span />
Answer:
at ten minutes it will be at 60.7 and at 12 minutes itll be at 57.7
Answer:
h(x) = 5x - 3
Step-by-step explanation:
f(x) = 3x-7
g(x) = 2x+4
3x-7 + 2x+4
5x-3
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Answer:
Step-by-step explanation:
Let number of large pizzas be l and number of small be s.
<u>Then we have equations:</u>
- l + s = 100
- 16l + 11s = 1550
<u>From the first equation, we get l = 100 - s and substitute in the second equation:</u>
- 16(100 - s) + 11s = 1550
- 1600 - 16s + 11s = 1550
- 5s = 1600 - 1550
- 5s = 50
- s = 10
Number of small pizzas is 10