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3 years ago

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Mathematics

1 answer:

Kisachek [45]3 years ago

7 0

If two angles and included side of one triangle are equal to two angles and the included side of the other triangle , then the two triangles are congruent (ASA rule).

in figure

consider triangle ABD and ACD
Angle BAD = angle CAD
AB = AC
Angle B = angle C
triangle ABD congruent to Triangle ACD ( by ASA rule)

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Find the Area of the Shaded Region.

BaLLatris [955]

Area of rectangle is length x width
area of smaller rectangle
9x5=45
area of large rectangle
11x7=77
77-45=32

5 0

3 years ago

Read 2 more answers

It takes three identical water pumps 8 hours to fill a pool, What is the constant of variation?

BaLLatris [955]

Answer:

Constant of variation is 24.

Step-by-step explanation:

Inverse variation states that a relationship between two variables in which the product is remain constant.

If one variable increases then, the other one decreases in proportion so that the product is unchanged,

if y is inversely proportional to x i.e $y \propto\frac{1}{x}$ or

$y =\frac{k}{x}$ ;where k is the constant of variation.

It is given that 3 identical water pumps takes 8 hours to fill a pool,

since, it will take less time with more pumps, so it is an inverse variation.

By definition of inverse variation;

$time = \frac{k}{pump}$

Substitute the values to solve for k;

$8 = \frac{k}{3}$

Multiply by 3 to both sides we get;

$8 \times 3 = \frac{k}{3} \times 3$

Simplify:

k = 24

Therefore, the constant of variation is, 24

3 0

3 years ago

Zmień jednostki prose o pomoc

Len [333]

Answer:

42300000

Step-by-step explanation:

Use known fact

$1\ km=1000\ m$

Consider 1 square kilometer:

$1\ km^2=1\ km\times 1\ km=1000\ m\times 1000\ m=1000000\ m^2$

So, to find the answer, you have to multiply given number of square kilometers by 1000000:

$42.3\ km^2=42.3\times 1000000\ m^2=42300000\ m^2$

4 0

3 years ago

Can someone please help me

Alex787 [66]

A.30
b.60
c.90
must be 180

4 0

2 years ago

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Which term describes the point where the three angle bisectors of a triangle intersect?

Alika [10]

The term that describes the point where the three angle bisectors of a triangle intersect is known as insector

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3 years ago

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Help me fast ..................​

Help me fast ..................