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3 years ago

Which type of triangle will always have a perpendicular bisector that is also an angle bisector?

Mathematics

1 answer:

tamaranim1 [39]3 years ago

7 0

Equilateral triangle

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PLEASE HELP

irina [24]

Answer:

$12\sqrt{3}$ feet

Step-by-step explanation:

In a 30-60-90 triangle, the ratios of the side lengths of the triangle is $1:\sqrt{3} :2$

Where 1 is the shortest leg, root(3) is the longer leg, and 2 is the hypotenuse.

First we can set x equals to the length of the original pole, and so the shorter leg has a length of x/3 and using the ratio of side lengths, we can find that:

$\frac{x}{3} * \sqrt{3} = \frac{\sqrt{3} x}{3} = 12$

Solving for x, we find that

$x=\frac{36}{\sqrt{3} } = \frac{36 * \sqrt{3} }{\sqrt{3} * \sqrt{3} } = \frac{36 \sqrt{3} }{3} = 12\sqrt{3}$

So the length of the original pole would be $12\sqrt{3}$ feet

If you found this answer helpful, please consider marking it as brainliest, or give it a thanks and a 5 star review. Thanks!

6 0

3 years ago

Solve and graph the following inequality: 3(7x+17) > -19 + 14x

love history [14]

Answer:

Solving the inequality we get: $\mathbf{x>-7}$

Step-by-step explanation:

We need to solve and graph the inequality $3(7x+17) > -19 + 14x$

Solving:

$3(7x+17) > -19 + 14x$

Step 1: Multiply 3 with terms inside the bracket

$21x+51 > -19 + 14x$

Step 2:Subtracting 51 on both sides

$21x+51-51 > -19 + 14x-51\\21x>14x-70\\$

Step 3: Subtract 14x on both sides

$21x-14x>+14x-70-14x\\7x>-70$

Step 4: Divide both sides by 7

$\frac{7x}{7}>\frac{-70}{7}\\x>-10$

Solving the inequality we get: $\mathbf{x>-7}$

The graph is attached in the figure below.

5 0

3 years ago

A store owner puts in an order for product X and product Y for a total of 4,000 units. It costs $0.10 per item to ship of produc

lyudmila [28]

Answer:

0.1x+0.04y=4,000

x+y=352

Step-by-step explanation:

5 0

3 years ago

Attachment Mathswatch!!

anygoal [31]

Answer:

y=2x + 2

Step-by-step explanation:

2 is the slope and 2 is also the y-intercept

y = mx + b

3 0

3 years ago

I need help on 21 . Please

kupik [55]

Answer:

Air travels 6,920 meters in 20 seconds.

Step-by-step explanation:

If in one second air travels 346 meters, and you want to find out how many meters air travels in 20 seconds, then just multiply 346 by 20.

4 0

3 years ago