The SSS proof used the rigid transformations illustrated here. Which transformations are used?

The sine of 49° is equal to the cosine of what angle?

Digiron [165]

Sinα=cos(90-α) this is an identity which you need to know...

in this case:

sin49°=cos41°

6 0

3 years ago

Mr. McGloughlin’s horses eat a total of 19 liters 2 deciliters of rolled oats, and drink a total of 46 liters 4 deciliters of wa

Hunter-Best [27]

Answer:

459.2 liters.

Step-by-step explanation:

Let us convert our given amount of rolled oats and water in deciliters.

1 liter = 10 deciliters

19 liters = 19*10 deciliters = 190 deciliters.

$\text{Total amount of rolled oats consumed per day}=(190+2)\text{ deciliters}$

$\text{Total amount of rolled oats consumed per day}=192\text{ deciliters}$

46 liters=46*10=460 deciliters

$\text{Total amount of water consumed per day}=(460+4)\text{ deciliters}$

$\text{Total amount of water consumed per day}=464\text{ deciliters}$

Now let us find weekly consumption of oats and water by multiplying daily consumption of both items by 7.

$\text{Total weekly consumption of oats and water}=7*(464+192)\text{ deciliters}$

$\text{Total weekly consumption of oats and water}=7*(656)\text{ deciliters}$

$\text{Total weekly consumption of oats and water}=4592\text{ deciliters}$

Let us convert weekly consumption of water and oats into liters.

$\text{Total weekly consumption of oats and water}=\frac{4592\text{ deciliters}}{10\frac{\text{ deciliters}}{\text{liter}}}$

$\text{Total weekly consumption of oats and water}=\frac{4592\text{ deciliters}}{10}\cdot\frac{\text{ liters}}{\text{ deciliters}}}$

$\text{Total weekly consumption of oats and water}=\frac{4592}{10}\text{ liters}$

$\text{Total weekly consumption of oats and water}=459.2\text{ liters}$

Therefore, total weekly combined consumption of oats and water is 459.2 liters.

5 0

3 years ago

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Are the triangles similar? If so state the similarity and the postulate or theorem that justifies your answer.

tester [92]

Answer:

A

Step-by-step explanation:

∆ABC is similar to ∆DEF if and only if the ratio of their corresponding side lengths are the same.

Let's find out:

DE/AB = 10/5 = 2

EF/BC = 8/4 = 2

FD/CA = 12/6 = 2

The ratio of their corresponding side lengths are equal, therefore, ∆ABC is similar to ∆DEF based on the SSS Similarity Theorem.

7 0

2 years ago

If a factor of a polynomial p(x)=2

Eduardwww [97]

Geometric figure is: line.

3 0

3 years ago

What is the difference between an irrational number and an integer?? please explain!

SpyIntel [72]

Answer:

Explanation: Irrational numbers are non-terminating, recurring decimal numbers i.e, a decimal expansion that neither terminates nor becomes periodic which cannot be expressed in the form of a fraction. ... Integer is a complete entity that includes every natural number along with its negatives and zero.

Step-by-step explanation:

7 0

3 years ago

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