Answer:
-7x - 6
Step-by-step explanation:
1
Distribute
(−2+5)−1(6+4)+(−7)
(−2+5)−6−4+(−7)
2
Eliminate redundant parentheses
(−2+5)−6−4+(−7)
−2+5−6−4+−7
3
Add the numbers
−2+5−6−4+−7
−2−6−6+
4
Combine like terms
−2−6−6+
Answer:
−7−6
Answer:
D. 6x + 3
Step-by-step explanation:
A perimeter is just the sum of all sides of a shape.
First, write an equation to add all sides of the triangle:
(x + 4) + (3x - 2) + (2x + 1)
What is inside the parentheses is all already simplified. Also, it is addition, so the order in which we add does not matter. So, we can now get rid of the parentheses and combine like terms:
x + 3x + 2x + 4 -2 + 1
6x + 3
And that's our final answer: 6x + 3
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Area of part 1:A1=base*height/2=(8+2)*(8-2-2-1)/2=10*3/2=15 ft^2Area of part 2:A2=length*width=(8+2)*1=10 ft2Area of part 3:A3=length*width=8*2=16 ft2
Total shaded area : A1+A2+A3=41 ft2Total area of the reactangle : A=16*8=128 ft2Total area of the nonshaded region : 128-41=87 ft2
First, do 110-30 (You'll get 90). Then, divide 90 by 2 (You'll have 45). Finally, take 45 from 350. Your final answer should be 305.
Answer: Angle A = 120° and angle C = 45°
Step-by-step explanation: The first thing to note at the back of our minds is that the sum of the interior angles of a triangle equals 180°. Given that the three angle are available, we can start by adding them all together. Hence,
{12x + 12} + 15 + {3x + 18} = 180
12x + 12 + 15 + 3x + 18 = 180
By collecting like terms, we arrive at,
12x + 3x + 12 + 15 + 18 = 180
15x + 45 = 180
Subtract 45 from both sides of the equation
15x = 135
Divide both sides of the equation by 15
x = 9
At this point, we can now substitute for the value of x = 9 in the expressions representing angles A and C.
Angle A = 12x + 12
= 12(9) + 12
= 108 + 12
= 120
Angle A = 120°
Angle C = 3x + 18
= 3(9) + 18
= 27 + 18
= 45
Angle C = 45°
