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solniwko [45]
3 years ago
13

What makes 2 figures congruent

Mathematics
2 answers:
TiliK225 [7]3 years ago
4 0

Two polygons are congruent if they are the same size and shape

storchak [24]3 years ago
4 0
They must have the same size and shape.
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Find the area of the figure.
Arisa [49]

Answer:

can u clarify bc area is 2 but 4 things is perimiter

Step-by-step explanation:

4 0
3 years ago
A household aquarium tank in the shape of a rectangular prism has a base length of 242424 inches (\text{in})(in)(, start text, i
mars1129 [50]

Answer:

The absolute change in the height of the water is 9.5 inches

Step-by-step explanation:

Given

l =24in --- length

w = 15in --- width

h =12in --- height

V_1 = 900in^3 --- the volume removed

Required

The absolute change in the height of the water

First, calculate the base area (b):

b = l * w

b =24in * 15in

b =360in^2

The height of the water that was removed is:

<em />H = \frac{V_1}{b}<em> i.e. the volume of the water removed divided by the base area</em>

H = \frac{900in^3}{360in^2}

H = \frac{900in}{360}

H = 2.5in

The absolute change in height is:

\triangle H = |h - H|

\triangle H = |12in - 2.5in|

\triangle H = |9.5in|

\triangle H = 9.5in

8 0
3 years ago
The sum of the lengths of two opposite sides of the circumscribed quadrilateral is 12 cm, the length of a radius of the circle i
nasty-shy [4]

Answer:

60cm^2

Step-by-step explanation:

We assume that is a circumscribing quadrilateral, rather than one that is circumscribed. It is also called a "tangential quadrilateral" and its area is ...

 K = sr

where s is the semi-perimeter, the sum of opposite sides, and r is the radius of the incircle.

 K = (12 cm) (5cm) = 60 cm²

_____

A quadrilateral can only be tangential if pairs of opposite sides add to the same length. Hence the given sum is the semiperimeter.

8 0
3 years ago
How do I find each measure? Please I need answers ASAP it's due at 1:50
Norma-Jean [14]

Answer:

Angle CAD is 44 degrees

Angle ACD is 44 degrees

Angle ACB is 136 degrees

Angle ABC is 22 degrees

Explanation:

29. Triangle ADC is an isosceles triangle because it has two equal sides.

If segments AD and DC are congruent, then segment AC is the base and the base angles of an isosceles triangle are equal.

Let x be angle CAD.

Let's go ahead x;

\begin{gathered} 92+x+x=180\text{ (sum of angles in a triangle)} \\ 92+2x=180 \\ 2x=180-92 \\ 2x=88 \\ x=\frac{88}{2} \\ \therefore x=44^{\circ} \end{gathered}

Therefore, measure of angle CAD is 44 degrees.

30. Measure of angle ACD is 44 degrees (Base angles of an isosceles triangle are equal)

31. Let angle ACB be y,

Let's go ahead and find measure of angle ACB;

\begin{gathered} 44+y=180\text{     (angles on a straight line)} \\ y=180-44 \\ \therefore y=136^{\circ} \end{gathered}

So measure of angle ACB is 136 degrees.

32. Let angle ABC be z.

Triangle ACB is also an isosceles triangle so the base angles are the same.

Let's go ahead and find z;

\begin{gathered} 136+z+z=180_{}\text{    (sum of angles in a triangle)} \\ 138+2z=180 \\ 2z=180-136 \\ 2z=44 \\ z=\frac{44}{2} \\ \therefore z=22^{\circ} \end{gathered}

So measure of angle ABC is 22 degrees.

3 0
1 year ago
How many are 1 raised to 5 ???​
Korolek [52]

Answer: 1.

Step-by-step explanation: 1^5 is really just 1, 5 times.

1*1*1*1*=1

6 0
3 years ago
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