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mars1129 [50]
3 years ago
8

What is the length of AB?

Mathematics
2 answers:
butalik [34]3 years ago
8 0

Answer:

6

Step-by-step explanation:

3x=4x-2

-1x=-2

X=2

3x = 6

Rainbow [258]3 years ago
4 0

Answer:  The correct option is (C) 6.

Step-by-step explanation:  We are given a triangle ABC in the figure, in which

m\angle A=m\angle C=63^\circ,~~~AB=3x~\textup{units}~~\textup{and}~~BC=(4x-2)~\textup{units}.

We are given to find the length of side AB.

In ΔABC, we have

m\angle A=m\angle C.

We know that in a triangle,

if two angles have equal measures, then the sides opposite to them are equal in length.

So, we must have

BC=AB\\\\\Rightarrow 4x-2=3x\\\\\Rightarrow 4x-3x=2\\\\\Rightarrow x=2.

Therefore, the length of AB will be

AB=3x=3\times 2=6.

Thus, the length of side AB is 6 units.

Option (C) is CORRECT.

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What is the common denominator for 1 2/3 and 3/4
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Answer:

The answer is 12

Step-by-step explanation:

Multiply 1*3

Add 2 to the number

Change the first number to 5/3

Multiply 3*4

3 0
2 years ago
The arm of a steel crane is 62 feet long. When it is fully extended, the crane arm forms a 30 degree angle with a line parallel
yuradex [85]

Answer: The top of the Crane is 31 feet above the ground.

Step-by-step explanation:

When it is fully extended, the crane arm forms a 30 degree angle with a line parallel to the ground. This means that a right angle triangle is formed. The length of the Crane's arm represents the hypotenuse. The horizontal distance represents the adjacent side of the right angle triangle. The distance, h of the top of the Crane from the ground represents the opposite side of the right angle triangle.

To determine h, we would apply

the Sine trigonometric ratio.

Sin θ, = opposite side/hypotenuse. Therefore,

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3 0
3 years ago
Whats 2 + 6? If the 2 is really a 7?
goldenfox [79]

Answer:

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Step-by-step explanation:

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6 0
3 years ago
Read 2 more answers
In this situation, which equation is NOT equivalent to the rest? Mrs. Jones deducts $3 from each of her 5 children's allowances
lawyer [7]

Answer:

c. 5x - 3 = 125

Step-by-step explanation:

Mrs. Jones deducts $3 from each of her 5 children's allowances this week because they didn't finish their chores. They then received a total of $125 in allowance. a. 5(x - 3) = 125

b. 5x - 15 = 125

c. 5x - 3 = 125

d. 5x = 140

Solution:

Let x represent the allowance for each of Mrs. Jones children. Since she deducts $3 from each children because they didn't finish their chores, the allowance for each child becomes x - 3.

There are 5 children, hence the allowance for the 5 children would be:

5(x-3)

Since they received a total of $125 in allowance, hence:

5(x-3) = 125

5x - 15 = 125

5x = 125 + 15

5x = 140

Option c is wrong

3 0
2 years ago
What is the degree measure of z?
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