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2 years ago

The triangles shown below must be congruent. True or False?

Mathematics

2 answers:

Slav-nsk [51]2 years ago

8 0

Answer:

Step-by-step explanation:

Two triangles are congruent if their corresponding sides are equal in length, and their corresponding angles are equal in measure.

so your amswer is A. True

givi [52]2 years ago

5 0

Answer:

they are technically congruent due to same angles n same or equal sides

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Which number line shows 2 + (-5)?

ladessa [460]

Answer:

-3

Step-by-step explanation:

2+(-5)

2-5=-3

that is you solve the equation and trace it on the number line

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2 years ago

Find the slope of the line that passes through (8, 3) and (1, 9).

leonid [27]

Answer:

$-\frac{6}{7}$

Step-by-step explanation:

⇒ $m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$

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⇒ $m = \frac{6}{-7}$

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2 years ago

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Oliga [24]

Answer:

Part A)

The height of the water level in the rectangular vessel is 2 centimeters.

Part B)

4000 cubic centimeters or 4 liters of water.

Step-by-step explanation:

We are given a cubical vessel that has side lengths of 10cm. The vessel is completely filled with water.

Therefore, the total volume of water in the cubical vessel is:

$V_{C}=(10)^3=1000\text{ cm}^3$

This volume is poured into a rectangular vessel that has a length of 25cm, breadth of 20cm, and a height of 10cm.

Therefore, if the water level is h centimeters, then the volume of the rectangular vessel is:

$V_R=h(25)(20)=500h\text{ cm}^3$

Since the cubical vessel has 1000 cubic centimeters of water, this means that when we pour the water from the cubical vessel into the rectangular vessel, the volume of the rectangular vessel will also be 1000 cubic centimeters. Hence:

$500h=1000$

Therefore:

$h=2$

So, the height of the water level in the rectangular vessel is 2 centimeters.

To find how how much more water is needed to completely fill the rectangular vessel, we can find the maximum volume of the rectangular vessel and then subtract the volume already in there (1000 cubic centimeters) from the maximum volume.

The maximum value of the rectangular vessel is given by :

$A_{R_M}=20(25)(10)=5000 \text{ cm}^3$

Since we already have 1000 cubic centimeters of water in the vessel, this means that in order to fill the rectangular vessel, we will need an additional:

$(5000-1000)\text{ cm}^3=4000\text{ cm}^3$