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2 years ago

Which tool(s) are needed to construct a perpendicular bisector of a line segment?

Mathematics

2 answers:

Snowcat [4.5K]2 years ago

4 0

Answer:

You need a straight edge and a compass.

Step-by-step explanation:

The straight edge should not be marked in any way. You are not allowed to put a mark on the straight edge at all. The only property it has is that it has no curvature in any direction.

The compass must be flexible and at the same time it must be able to stay at one radius unless changed by the owner. It's only property is that it can draw a perfect circle once the radius of the circle has been chosen,

zheka24 [161]2 years ago

3 0

Answer: compass and straightedge or ruler

Perpendicular bisector of a line segment

Geometry construction using a compass and straightedge

compass and straightedge or ruler

Step-by-step explanation:

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2 years ago

Which ordered pairs are solutions to the inequality 3x-4y>5

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Note: you did not provide the answer options, so I am, in general, solving this query to solve your concept, which anyways would clear your concept.

Answer:

Please check the explanation.

Step-by-step explanation:

Given the inequality

$3x-4y>5$

All we need is to find any random value of 'x' and then solve the inequality.

For example, putting x=3

$3\left(3\right)-4y>5$

$9-4y>5$

$-4y>-4$

$\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}$

$\left(-4y\right)\left(-1\right)$

$4y$

$\mathrm{Divide\:both\:sides\:by\:}4$

$\frac{4y}{4}$

$y$

So, at x = 3, the calculation shows that the value of y must be less

than 1 i.e. y<1 in order to be the solution.

Let us take the random y value that is less than 1.

As y=0.9 < 1

so putting y=0.9 in the inequality

$3\left(3\right)-4\left(0.9\right)$

$=9-3.6$

$=5.4$

As 5.4 > 5

Means at x=3, and y=0.9, the inequality is satisfied.

Thus, (3, 0.9) is one of the many ordered pairs solutions to the inequality 3x-4y>5.

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2 years ago

The snowiest city receive an average of 113.9 more inches of snow than the second snowiest city. The second snowiest city reciev

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Answer:

The snowiest city receive 347.7 inches on average each year.

Step-by-step explanation:

We want to find the amount of snow the snowiest city receives on average every year, "x". It is known that this city receives 113.9 more inches than the second snowiest, which receives 223.8 inches on average every year. Therefore, the expression for "x" is:

$x = 233.8 + 113.9\\x = 347.7 \text{ inches}$

The snowiest city receive 347.7 inches on average each year.

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2 years ago

The high temperature one day was -1 °F. The low temperature was -5 °F. What was the difference between the high and low temperat

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Answer:

The difference is 4 degrees

Step-by-step explanation:

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1 year ago