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Setler79 [48]
3 years ago
7

A small explanation would be really appreciated​

Mathematics
1 answer:
shutvik [7]3 years ago
7 0

Step-by-step explanation:

the 2 angles marked with orange and green are equal becos the question said that the indicated angles are congruent meaning same deg. so 180 - that given angle = the 2 marked angles (based on the rule known as angles on a str line are supplementary)

since the 2 marked angles are same, you can say that d and k are parallel due to the rule of alternate angles

Topic: angle properties

If you like to venture further, feel free to check out my insta (learntionary). It would be best if you could give it a follow. I'll be constantly posting math tips and notes! Thanks!

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What is the amplitude and period of f(t)=-cos t
Vadim26 [7]

Answer:

c. amplitude: 1; period: 2\pi

Step-by-step explanation:

The given function is f(t)=- \cos t

This function is of the form;

y=A \cos Bt

where |A| is the amplitude.

When we compare f(t)=- \cos t to y=A \cos Bt, we have

A=-1, therefore the amplitude of the given cosine function is |-1|=1

The period is given by;

T=\frac{2\pi}{|B|}

Since B=1, the period is T=\frac{2\pi}{|1|}=2\pi

8 0
3 years ago
Can the interest rates change on a credit card?
mamaluj [8]

Answer:

Step-by-step explanation:

Take these steps to get a lower credit card interest rate:

Do your homework before you negotiate.

Improve your odds.

Call your credit card company and ask.

Take advantage of other options.

4 0
4 years ago
Bill pays $49 for an item after it has been discounted 30%. What was the original price of the item?
makvit [3.9K]
If an item has been discounted 30%, then it is currently worth 70% of the original price. This tells us that $49 is 70% of the original price. Therefore, you need to divide $49 by 70% to get your answer (you have to work backwards; remember that you would have multiplied the original number by 0.7 to get 49):
49÷(70/100)= $70
Therefore, the price of the original product was $70
3 0
3 years ago
Whatever, Inc., has a bond outstanding with a coupon rate of 5.74 percent and semiannual payments. The yield to maturity is 6.1
sveta [45]

Answer:

current market price of the bond is $958.73

Step-by-step explanation:

given data

coupon rate = 5.74 percent

yield to maturity = 6.1 percent

bond matures = 20 years

future value = $1,000

solution

we get here PMT that is

PMT =  1,000 × 5.74% ÷ 2 ...............1

PMT = $28.70

and Number of Periods is

NPER = 20 years × 2 = 40  semi-annual periods

and here Rate of interest will be =  6.1% ÷ 2 = 3.05%

and we use here formula that is

= -PV(Rate;NPER;PMT;FV;type)

so we get

current market price of the bond is $958.73

7 0
3 years ago
What are independent and dependent variables?
Nonamiya [84]
I'm pretty sure this doesn't belong in mathematics but this belongs to science. Anyways.. an independent variable is the only variable that is being changed. The dependent variable is what you find out- in other words it is the outcome.

8 0
3 years ago
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