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3 years ago

5

Matt drank 2.5 bottles of water yesterday. Each bottle contained 1.5 liters of water. What was the number of liters of water Mat

t drank yesterday?

1 answer:

photoshop1234 [79]3 years ago

5 0

So we multiply 2.5 x 1.5 which gives us 3.75

ANSWER:
3.75

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allochka39001 [22]

Part A

Converse = "If corresponding angles are equal, then two lines are parallel"
Result = True

Explanation:

Refer to the converse of the corresponding angles theorem. The original version is stated as part A, and the converse is marked in bold above.

Conditional statements are of the form "if this, then that". Symbolically we can use the template "If P, then Q". The P and Q are placeholders for logical statements.

The converse of "if P, then Q" is "If Q, then P". We swap the positions of P and Q. Do not negate either piece.

========================================================

Part B

Converse = "If angle C is 70 degrees, then the sum of angles A and B is 110 degrees"
Result = True

Explanation:

Recall that for any triangle, the three interior or inside angles always add to 180 degrees. In short: A+B+C = 180. If C = 70, then A+B = 180-C leads to A+B = 180-70 and A+B = 110. This process can be reversed.

========================================================

Part C

Converse = "If two lines are not parallel, then alternate interior angles k and s are not equal"
Result = True

Explanation:

For more information, check out the converse of the alternate interior angles theorem. The regular version of the theorem is "If two lines are parallel, then the alternate interior angles are congruent".

The converse of this theorem flips things to say: "If alternate interior angles are congruent, then the lines are parallel".

========================================================

Part D

Converse = "If John loses his money, then he throws coins in the fountain"
Result = False

Explanation:

Throwing coins in a fountain is one way to lose money, but there are other ways. He could drop a coin somewhere, or leave the coin somewhere he forgot.

In other words, just because he lost his money does not mean he threw a coin in the fountain.

8 0

2 years ago

On the following composite figure, all angles are right angles. All short edges of the figure have a measure of 1.5 centimeters.

Aleks04 [339]

Answer:

Step-by-step explanation:

7 0

4 years ago

Find the sum of all integers between −102 and 104.

lions [1.4K]

Technically, you could go through and add every single integer between -102 and 104, but that is a lot of work.

However, there is a shortcut.

The opposite of -102 is 102, right? When you add two opposites together, they turn out to be 0. You can use this for every integer from -102 to 102.

Basically, you end up with 103 and 104 that are left.

Add them and you get 103+104=207.

207 is the answer.

3 0

4 years ago

aivan3 [116]

Answer:

part A) The scale factor of the sides (small to large) is 1/2

part B) Te ratio of the areas (small to large) is 1/4

part C) see the explanation

Step-by-step explanation:

Part A) Determine the scale factor of the sides (small to large).

we know that

The dilation is a non rigid transformation that produce similar figures

If two figures are similar, then the ratio of its corresponding sides is proportional

so

Let

z ----> the scale factor

$\frac{CB}{C'B'}=\frac{CD}{C'D'}=\frac{BD}{B'D'}$

The scale factor is equal to

$z=\frac{CB}{C'B'}$

substitute

$z=\frac{4}{8}$

simplify

$z=\frac{1}{2}$

Part B) What is the ratio of the areas (small to large)?

<em>Area of the small triangle</em>

$A=\frac{1}{2}(2)(4)=4\ units^2$

<em>Area of the large triangle</em>

$A=\frac{1}{2}(4)(8)=16\ units^2$

ratio of the areas (small to large)

$ratio=\frac{4}{16}=\frac{1}{4}$

Part C) Write a generalization about the ratio of the sides and the ratio of the areas of similar figures

In similar figures the ratio of its corresponding sides is proportional and this ratio is called the scale factor

In similar figures the ratio of its areas is equal to the scale factor squared

4 0

4 years ago

Please answer this correctly

DochEvi [55]

<h3>Answer: B) Brookfield</h3>

For each location, divide the number of hamsters over the number of gerbils.

Brookfield would have a ratio of 28/10 = 2.8

Belmont would have the ratio of 27/13 = 2.077 approximately

We see that Brookfield has the higher ratio.

7 0

3 years ago

Read 2 more answers