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Mekhanik [1.2K]
3 years ago
5

Name the triangle congruent to triangle ABC.

Mathematics
1 answer:
raketka [301]3 years ago
3 0
QPR since Q is equal to 1 and P is equal to B and R is equal to C
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What is the slope <br> (-3,1) (4,5)
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Hello there, <br><br> can someone please help me with this question
monitta

Answer:

10 sides.

Step-by-step explanation:

Two same interior angles + 72 degrees = 360.

Thus, the interior angle of the polygon is \frac{360-72}{2} =144.

The formula to find the interior angle of a polygon is \frac{180(n-2)}{n}

\frac{180(n-2)}{n} =144

Multiply both sides by n:

\frac{180\left(n-2\right)}{n}n=144n

180\left(n-2\right)=144n

Expand:

180n-360=144n

Add 360 to both sides:

180n-360+360=144n+360

180n=144n+360

Subtract 144n from both sides:

180n-144n=144n+360-144n

36n=360

Divide both sides by 36:

\frac{36n}{36}=\frac{360}{36}

n=10

7 0
2 years ago
Convert 9255 cm3 to gallons. Express the volume in gallons to four significant figures.
chubhunter [2.5K]

Answer:

2.44491234

Step-by-step explanation:

1 gallon = 3785 cm3

4 0
3 years ago
Solve for the missing sides 30-60-90 triangle show work please and thank you
Alex_Xolod [135]

Answer:

4.

x=8\sqrt{3}

y=16

5.

x=3

y=3\sqrt{3}

Step-by-step explanation:

The sides of a (30 - 60 - 90) triangle follow the following proportion,

a-a\sqrt{3}-2a

Where (a) is the side opposite the (30) degree angle, (a\sqrt{3}) is the side opposite the (60) degree angle, and (2a) is the side opposite the (90) degree angle. Apply this property for the sides to solve the two given problems,

4.

It is given that the side opposite the (30) degree angle has a measure of (8) units. One is asked to find the measure of the other two sides.

The measure of the side opposite the (60) degree side is equal to the measure of the side opposite the (30) degree angle times (\sqrt{3}). Thus the following statement can be made,

x=8\sqrt{3}

The measure of the side opposite the (90) degree angle is equal to twice the measure of the side opposite the (30) degree angle. Therefore, one can say the following,

y=16

5.

In this situation, the side opposite the (90) degree angle has a measure of (6) units. The problem asks one to find the measure of the other two sides,

The measure of the side opposite the (60) degree angle in a (30-60-90) triangle is half the hypotenuse times the square root of (3). Therefore one can state the following,

y=3\sqrt{3}

The measure of the side opposite the (30) degree angle is half the hypotenuse (the side opposite the (90) degree angle). Hence, the following conclusion can be made,

x=3

6 0
3 years ago
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