Answer:
Step-by-step explanation:
According to the diagram we observe:
- ∠ACD is the exterior angle of triangle ABC.
As we know the exterior angle is same as the some of the remote interior angles.
It can be shown as:
Substitute the values and solve for x:
- 5x - 18 = 3x - 2 + x + 14
- 5x - 18 = 4x + 12
- 5x - 4x = 12 + 18
- x = 30
Find the measure of m∠ABC:
The matching <u>answer</u> choice is D.
Answer:
The answer is B ...........
Answer:
- 5x+3
- x -7
- -x +7
Step-by-step explanation:
Combine like terms. The associative and commutative properties of addition apply, as does the distributive property.
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1. (2x+5)+(3x-2) = (2x +3x) +(5 -2) = 5x +3
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2. (3x-2)-(2x+5) = 3x -2 -2x -5 = (3x -2x) +(-2 -5) = x -7
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3. (2x+5)-(3x-2) = 2x +5 -3x +2 = (2x -3x) +(5 +2) = -x +7
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<em>Additional comment</em>
Note that swapping the order of operands in a subtraction problem (problems 2 and 3) will cause the sign of the result to reverse.
Answer:
25
Step-by-step explanation:
I added them
Width of the rectangle is 13 cm and length is 29 cm.
<u>Step-by-step explanation:</u>
Step 1:
Given perimeter of the rectangle = 84 cm. Let the width be x, then the length of the rectangle = 2x + 3. Use the formula for perimeter of a rectangle = 2(length + width) to find the dimensions.
84 = 2(2x + 3 + x) = 2(3x + 3) = 6(x + 1) [taking 3 as common factor outside)
⇒ 84 = 6x + 6
⇒ 78 = 6x
∴ x = 13
⇒ Width of the rectangle = 13 cm
∴ Length of the rectangle = 2x + 3 = 29 cm
