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yulyashka [42]
2 years ago
5

Question Number 2!! Thank youu

Mathematics
1 answer:
rewona [7]2 years ago
3 0

Answer:

56°

Step-by-step explanation:

Since triangle ABD and triangle CBD are congruent (SAS), so you can divide m∠ABC by 2 to get the m∠ABD and m∠CBD, or 56°.

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Cuanto tiempo pasa de las 9:15 a las 10:30?
lisov135 [29]

Answer:

1 hour and 15 minutes

Step-by-step explanation:

5 0
3 years ago
Two numbers have an absolute value of 16 . Which of the two numbers is greater than 12. Can someone plz help me answer this ques
KATRIN_1 [288]

Answer:

16

Step-by-step explanation:

Absolute value means the modulus of a number.

-16 and 16 give an absolute value of 16

16 > 12

6 0
4 years ago
In 2000, the average monthly price for basic cable television in the United States was $29.99. In 2016, the average monthly pric
Lelu [443]

Answer:

y(x) = 29.99 + 1.86x

The cost of basic cable television in the United States in the year 2020 will be $67.19.

Step-by-step explanation:

The linear function has the following format.

y(x) = y(0) + ax

In which y(x) is the cost x years after 2000, y(0) is the initial cost, that is, the cost in 2000, and a is the slope(how much the cost changes in a year).

In 2000, the average monthly price for basic cable television in the United States was $29.99.

This means that y(0) = 29.99

In 2016, the average monthly price for the same basic cable television was $59.75.

2016 is 16 years after 2000. So

y(16) = 59.75

Write a linear function that models the cost of basic cable television in the United States for x years after 2000.

y(x) = y(0) + ax

Applying y(16).

59.75 = 29.99 + 16a

16a = 29.76

a = \frac{29.76}{16}

a = 1.86

So

y(x) = 29.99 + 1.86x

Use the linear function to determine the cost of basic cable television in the United States in the year 2020.

2020 is 20 years after 2000, so this is y(20).

y(x) = 29.99 + 1.86x

y(20) = 29.99 + 1.86*20 = 67.19

The cost of basic cable television in the United States in the year 2020 will be $67.19.

3 0
3 years ago
What are the new vertices of triangle QRS, shown, if the triangle is reflected across the line y = x, also shown? Question 6 opt
ExtremeBDS [4]

Answer:

C

Step-by-step explanation:

Under a reflection in the line y = x

a point (x, y ) → (y, x ) , thus

Q(- 5, 2 ) → Q'(2, - 5 )

R(0, 5 ) → R'(5, 0 )

S(- 1, 2 ) → S'(2, - 1 )

6 0
4 years ago
Ryan has deposited $100 into a retirement account at the end of every month for 50 years. The interest rate on the account is 1.
Andre45 [30]

Answer:

future payment is $77056.92

total interest is paid after 45 year is  $23056.42

Step-by-step explanation:

Given data

payment (P) = $100

No of installment (n) = 12

rate of interest ( r ) = 1.5 %  i.e. = 0.015

time period (t) = 45 years

to find out

future payment and interest after 45 year

solution

we know future payment formula i.e. given below

future payment = payment × (1+\frac{r}{n})^{nt} - 1) / (r/n)

now put all these value in equation

future payment = $ 100  × (1+\frac{0.015}{12})^{12*45} - 1) / (0.015/12)  

future payment = $ 77056.92

payment paid in 45 year @ $100 total money is paid is 45 × 12 × $100 i.e. = $54000

total interest = future payment  - money paid

total interest = $77056.42 - $54000

total interest = $23056.42

4 0
3 years ago
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