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Suppose △ITH≅△APG. Which congruency statement is true?

kupik [55]

It is given that the triangles ITH and APG are congruent.

When the two triangles are congruent, then the corresponding angles and sides are congruent to each other.

By being congruent, the corresponding angles which are congruent are:

$IT \cong AP, TH \cong PG, IH \cong AG$

Therefore, $IH \cong AG$

SO, Option 2 is the correct answer.

5 0

3 years ago

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1. Consider the system of equations below. What could be the first step in solving by elimination?

leva [86]

Answer:

Multiple the first equation by -1

Step-by-step explanation:

After doing this you add the two equations together and follow the systems of equations as normal

$-3x+-5y=-16\\3x+2y=10\\-3y=-6\\\frac{-3y}{-3} =\frac{-6}{-3} \\y=2$

Therefore y = 2

7 0

2 years ago

Find the flow rate through a tube of radius 6 cm, assuming that the velocity of fluid particles at a distance r cm from the cent

vaieri [72.5K]

Answer:

791.68 cm/s

Step-by-step explanation:

The volume flow rate can be interpreted as the integral of fluid velocity over area

$\dot{V} = \int\limits^6_0 {v(r) 2\pi r} \, dr\\\dot{V} = 2\pi\int\limits^6_0 {(25-r^2)r} \, dr\\\dot{V} = 2\pi\int\limits^6_0 {25r-r^3} \, dr\\\\\dot{V} = 2\pi[12.5r^2 - r^4/4]_0^6\\\dot{V} = 2\pi(12.5*6^2 - 6^4/4 - 12.5*0 - 0)\\\dot{V} = 2\pi*126 = 791.68 cm/s$

7 0

3 years ago

The length of the hypotenuse of a right triangle is 50 inches. Determine the length of the legs if each leg is the same length.

algol13

Answer:

25√2 ≈ 35.36 inches

Step-by-step explanation:

The Pythagorean theorem can be used to find the leg length for the given conditions. It tells you the relation between legs a, b, and hypotenuse c is ...

c² = a² +b²

If a=b, and c=50, this becomes ...

50² = a² +a²

1250 = a² . . . . divide by 2

25√2 = a . . . . take the square root

The length of each leg is 25√2 ≈ 35.36 inches.

4 0

2 years ago

If 100 people drink 1.5 cups of coffee a day and the cost per cup is .40 how much would it cost to provide coffee for the whole

N76 [4]

Answer:

It would cost 15600 to provide coffee for the whole year.

Step-by-step explanation:

Given:

If 100 people drink 1.5 cups of coffee a day and the cost per cup is .40

Now, to find the cost to provide coffee for the whole year if you're place is open 5 days a week.

So, we have the unit rate, and we have to find the cost of 1.5 cup by multiplying 0.40.

1.5 cup of coffee cost $1.5\times 0.40=0.60.$

Thus, 1.5 cup cost 0.60.

If, 100 people drink 1.5 cups.

Then, total cost of 100 people drinking 1.5 cups of coffee = $100\times 0.60=60$

As, place is open 5 days a week.

So, to get the cost of coffee in 5 days of a week we multiply 5 by 60:

$5\times 60\\\\=300.$

Hence, the cost of coffee in a week is 300.

In 1 year there are 52 weeks.

Now, to get the cost for the whole year we multiply 52 by 300:

$52\times 300\\\\=15600.$

Therefore, it would cost 15600 to provide coffee for the whole year.

6 0

2 years ago

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