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3 years ago

The measure of three angles of a triangle are (2×), (3×) and (×+60) what is the value of x ?

1 answer:

4 0

Since the sum of the angles of a triangle = 180°

Then (2x)º + (x + 60)º + (3x)º = 180°
(6x)° + 60° = 180°
(6x)° = 180° - 60°
x = 120° ÷ 6
∴ x = 20

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Ad libitum [116K]

In order for the triangle to be isosceles, we have to set two lengths of the triangle equal to each other.

Let's take the lengths 5x-12 and x+20 and set them equal to each other.

5x - 12 = x + 20

Combine like terms by moving them over to their respective sides.

Subtract x from both sides of the equation.

4x - 12 = 20

Add 12 to both sides of the equation.

4x = 32

Divide both sides by 4.

x = 8

Check your answer by substituting.

5x - 12 = x + 20

5(8) - 12 = 8 + 20

40 - 12 = 28

28 = 28

Solution: x = 8

5 0

3 years ago

Resolute academy algebra 1

Goryan [66]

Answer:

Step-by-step explanation:

We can see in the expression that there are 2 x² blocks, 4 -x blocks, and 3 -1 blocks. Therefore, we can write this as

2 * x² + 4 * (-x) + 3 * (-1) = 2x²-4x-3

Comparing this with each answer, we have

A: x²-2x-4 + x² + 2x-1 = 2x²-5. This is not correct

B: 3x²-7x+1-(x²-3x+4) = 3x²-7x+1 -x²+3x-4 = 2x²-4x-3. This seems correct but we can check the other answers to be sure

C: (2x+1)(x-3) = 2x²-6x+x-3 = 2x²-5x-3. This is incorrect

D: $\frac{8x^{12} - 16x^7 - 12x^6}{4x^6} = 2x^6 - 4x - 3$ . This is incorrect

3 0

3 years ago

A company has two types of machines, type R and type S. Operating at a constant rate, a machine of type R does a certain job in

SashulF [63]

Answer:

The number of machines to complete job in 2 hours is 6.

Step-by-step explanation:

Using the relation of the rate of each one machine and knowing that adding up both rates.

$Rate R +Rate S= Rate total$

Rate R = $\frac{x}{36}$ 'x' is the job

Rate S = $\frac{x}{18}$ 'x' is the job

So, using the equation of rates

$Rate total =\frac{x}{36} + \frac{x}{18}$

Rate total is going to be a job in 2 hours so = $\frac{1}{2}$

$\frac{1}{2} = \frac{x}{36}+\frac{x}{18}$ adding up

$\frac{1}{2}= x*\frac{3}{36}$ factoring the x

$\frac{1}{2}= x*\frac{1}{12}$ simplifying

x= $\frac{12}{2} \\$

x= 6

3 0

3 years ago

Help ASAP! Correct answer will be marked BRAINLIEST!!!

Nataly_w [17]

Answer:

not telling u the answer but first multiply 2 x 2 1/2 (4 1/2) then add that to 6 2/5

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

What is 8/15 plus 2/5 equal to

anastassius [24]

We have to add 8/15 to 2/5.

To add two fractions we have to make them have the same denominator, so we have to convert 2/5 to have a denominator of 15. To do this, we have to multiply 2/5 by 3 and then we can add the fractions:

$\begin{gathered} \frac{8}{15}+\frac{2}{5} \\ \frac{8}{15}+\frac{2}{5}\cdot\frac{3}{3} \\ \frac{8}{15}+\frac{6}{15} \\ \frac{14}{15} \end{gathered}$

Answer: 14/15

5 0

1 year ago