Step-by-step explanation:
Please can u put the graph... By the way the perimeter is the sum if sides
<u>D</u> is the correct answer folks
Answer:
x = 9 ⇒ second answer
Step-by-step explanation:
∵ (a + 3)(-2a² + 15a + 6) =
-2a³ + 15a² + 6a - 6a² + 45a + 18 =
-2a³ + 9a² + 51a + 18
∵ (a + 3)(-2a² + 15a + 6) = -2a³ + xa² + 51a + 18
∴ -2a³ + 9a² + 51a + 18 = -2a³ + xa² + 51a + 18
∴ x = 9
Answer: 10.5 feet
Step-by-step explanation:
From the question, we are informed that Marcel is purchasing a board to build a bookcase he wants to divide the board into 1.75-foot sections and that he needs 6 sections.
The size of the board that Marcel need will be calculated by multiplying 6 by 1.75 foot. This will be:
= 6 × 1.75
= 10.5 feet
<h3>Answer:
122 degrees</h3>
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Explanation:
Angle BAC can be shortened to "angle A" since the letter A is in the middle.
Angle BCA can be shortened to "angle C" for similar reasoning.
We're told that angles A and C are base angles. For any isosceles triangle, the base angles are congruent
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Let's use this fact to solve for x.
angle A = angle C
7x+1 = 5x+9
7x-5x = 9-1
2x = 8
x = 8/2
x = 4
Once we know what x is, we can find each base angle
- angle A = 7x+1 = 7*4+1 = 28+1 = 29
- angle C = 5x+9 = 5*4+9 = 20+9 = 29
Both angles A and C are 29 degrees each, so this confirms we have the correct x value.
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The last step is to use the fact that all three angles of a triangle add to 180 degrees. This will help us find angle B, which is the vertex angle.
A+B+C = 180
29+B+29 = 180
B+58 = 180
B = 180-58
B = 122
The vertex angle is 122 degrees.
So we can say either angle B = 122, or we could say angle ABC = 122
"angle ABC" is the same as "angle CBA".
