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tankabanditka [31]
3 years ago
12

Start with the following statement: Vertical angles are congruent. a.State the conditional and three other forms of the statemen

t. b.If you know that a statement is true, what do you know about the truth of its converse, inverse, and contrapositive? Use at least one truth table and at least one property to support your reasoning.
Mathematics
1 answer:
WARRIOR [948]3 years ago
8 0
There are three kinds of statement that we could construct base on the given where as Vertical angels are congruent. First is converse: If angle 1 is 90 degree then angle 2 is 90. Second is Inverse: If angle 2 is not 90 then angle 1 is not. Third is Contrapositive: If angle 2 is not 90 then angle 1 is not 90 also.
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A student solved this problem by working backward. Jared has some flowers. He has 6 more red flowers than yellow flowers. He has
goldenfox [79]
5 + 7 = 12 silver balloons
12 x 3 = 36 bronze
12 + 36 + 5 = 53
4 0
3 years ago
The fastest race horse ran 1/4 mile in 1/3 of a minute. What was the horse's running speed?
bagirrra123 [75]

Answer:

3/4 miles per minute

Step-by-step explanation:

To get speed in miles per minute, just divide distance/time

1/4 mile / 1/3 minute = 3/4 miles per minute

If you want miles per hour, you'll have to convert minutes to hours.

3/4 miles/minute * 60 minutes/hour = 45 miles/hour

6 0
2 years ago
Find the exact value of cos(arcsin(1/4)). For full credit, explain your reasoning.
Westkost [7]
First way
arcsin(1/4) means that 1/4 sin of the angle.

sin(α)=1/4
sin²α+cos²α=1
(1/4)²+cos²α=1
cos²α=1-1/16 =15/16
cosα=+/-(√15)/4

<span>Second way
</span>
sin(α)=1/4 =opposite leg/hipotenuse
cos(α)=adjacent leg/hypothenuse
adjacent leg =√(hypotenuse²- Opposite²)=√(16-1)=√15
cosα=+/-√15/4

For one value of sinα, possible 2 values of cosα.

5 0
2 years ago
A shipping company is loading cube shaped crates into a larger cube shaped container the smaller cubes have side lengths 21/2 fe
zheka24 [161]

Answer:

64 crates

Step-by-step explanation:

Smaller Cube Side Length = 2 1/2 feet, or, 2.5 feet

Larger Container (Cube) Side Length = 10 feet

We find volume of larger container and find volume of small crates. We divide the large volume by volume of each crate. This will give us number of crates we can fit.

Volume of Cube = x^3

Where x is the side length of the cube

Now,

Small Crate Volume = (2.5)^3 = 15.625 cubic feet

Large Container Volume = 10^3 = 1000 cubic feet

Number of crates that would fit = 1000/15.625 = 64

So, 64 crates will fit in the largest shipping container

7 0
3 years ago
The diameter of the larger circle is 10.5 cm. The diameter of the smaller circle is 4.5 cm.
blondinia [14]
4.5 / 2 = 2.25cm radius for the smaller circle

3.14 (pi) × 2.25² = 15.89625cm²

10.5 / 2 = 5.25cm radius for the larger circle

3.14 × 5.25² = 86.54625cm²

86.54625 - 15.89625 = <span>70.65cm</span>² 

The answer is 70.7cm².
3 0
2 years ago
Read 2 more answers
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