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4 years ago

WHAT ARE CONGRUENT SHAPES!!! EXPLAIN.

Mathematics

2 answers:

Anarel [89]4 years ago

8 0

I think congruent shapes are shapes that have the same size and equal sides.

artcher [175]4 years ago

3 0

Exactly equal in size and shape. Congruent sides or segments have the exact same length. Congruent angles have the exact same measure. For any set of congruent geometric figures, corresponding sides, angles, faces, etc. are congruent. Note: Congruent segments, sides, and angles are often marked.

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The length plus the width of a rectangle is 10. Let x represent the length. The equation for the area y of the

yuradex [85]

Answer:

length of rectangle = 5

width of rectangle = 5

Area of rectangle = 25

Step-by-step explanation:

Since the length of the rectangle is "x", and the value of the area is given by the product of the length "x" times the width "10-x", indeed, the area "y" of the rectangle is given by the equation:

$y=x\,(10-x)=10x-x^2$

Now, they tell us that the area of the rectangle is such that coincides with the maximum (vertex) of the parabola this quadratic expression represents. So in order to find the dimensions of the rectangle and therefore its area, we find the x-coordinate for the vertex, and from it, the y-coordinate of the vertex, which is the rectangle's actual area.

Recall that the formula for the x of the vertex of a quadratic of the form :

$y=ax^2+bx+c$

is given by the formula:

$x_{vertex}=-\frac{b}{2\,a}$

which in our case gives:

$x_{vertex}=-\frac{b}{2\,a}\\x_{vertex}=-\frac{10}{2\,(-1)}\\x_{vertex}=5$

Therefore, the length of the rectangle is 5, and its width (10-x) is also 5.

The area of the rectangle is therefore the product of these two values: 5 * 5 = 25

Which should coincide with the value we obtain when we replace x by 5 in the area formula:

$y=10x-x^2\\y=50-(5)^2\\y=50-25\\y=25$

8 0

4 years ago

How do I solve the square root of 30?

Gre4nikov [31]

There is a way to work it out with a pencil and paper, but that's too complicated
to try and explain with only text, like we have here.

I don't usually recommend this for things that can be done easily on paper ...
but for square roots, your best bet is to use a calculator.

The square root of 30 does not come out even. It starts out 5.477225...
and it keeps going and never ends.

The negative of 5.477225... is also a square root of 30. Every number has
two square roots ... the positive and negative of the same number.

4 0

3 years ago

Read 2 more answers

If the measure of angle 2 is 92 degrees and the measure of angle 4 is (one-half x) degrees, what is the value of x?

zavuch27 [327]

Answer: x = 184°

Step-by-step explanation: As we can see in the figure below, angles 2 and 4 are <u>Vertical</u> <u>Angles</u>, i.e., they are angles opposite each other when two lines cross. Vertical angles are always congruent.

Then,

m∠2 = m∠4

$92=x.(\frac{1}{2})$

$92=\frac{x}{2}$

Value of x is

$x=92(2)$

x = 184

The value of x is 184°.

4 0

3 years ago

You have a math test. you plan to study 5/6 hour tonight and 3/4 hour tomorrow.

alekssr [168]

5/6 of an hour is 50 Minutes

3/4 of an hour is 45 Minutes

6 0

4 years ago

Convert 0.0150 km to meters and express the answer to the correct number of significant digits. a. 150 m b. 15 m c. 15.0 m d. 15

FromTheMoon [43]

The correct answer is option C which is 15 meters.

<h3>What is unit conversion?</h3>

Unit conversion is a multi-step process that entails multiplying or dividing by a numerical factor, selecting the correct number of significant digits, and then multiplying or dividing by another numerical factor.

The unit conversion will be done as:-

1 km = 1000 meters

0.0150 Km = 0.0150 x 1000 meters

0.0150 Km = 15 meters

Therefore the correct answer is option C which is 15 meters.

To know more about unit conversion follow

brainly.com/question/141163

#SPJ1

5 0

2 years ago