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Irina-Kira [14]
3 years ago
13

If x° and 60° are vertically opposite angles , then x° = ?​

Mathematics
2 answers:
mash [69]3 years ago
7 0

Answer:

It is x° = 60 (✿◠‿◠)

Lynna [10]3 years ago
6 0

Answer:

x° = 60

Step-by-step explanation:

Vertically opposite angles are congruent, thus

x° = 60

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At an effective annual interest rate of i > 0, each of the following two sets of payments has present value K: (i) A payment
IgorLugansk [536]

Answer:

The present value of K is, K=251.35

Step-by-step explanation:

Hi

First of all, we need to construct an equation system, so

(1)K=\frac{169}{(1+i)} +\frac{169}{(1+i)^{2}}

(2)K=\frac{225}{(1+i)^{2}} +\frac{225}{(1+i)^{4}}

Then we equalize both of them so we can find i

(3)\frac{169}{(1+i)} +\frac{169}{(1+i)^{2}}=\frac{225}{(1+i)^{2}} +\frac{225}{(1+i)^{4}}

To solve it we can multiply (3)*(1+i)^{4} to obtain (1+i)^{4}*(\frac{169}{(1+i)} +\frac{169}{(1+i)^{2}}=\frac{225}{(1+i)^{2}} +\frac{225}{(1+i)^{4}}), then we have 225(1+i)^{2}+225=169(1+i)^{3}+169(1+i)^{2}.

This leads to a third-grade polynomial 169i^{3}+451i^{2}+395i-112=0, after computing this expression, we find only one real root i=0.2224.

Finally, we replace it in (1) or (2), let's do it in (1) K=\frac{169}{(1+0.2224)} +\frac{169}{(1+0.2224)^{2}}\\\\K=251.35

8 0
3 years ago
Plz help me with my hw plz it's proportional relationships and please include the equation
Sphinxa [80]
The constant of proportionality is k = y/x.....k = 40/200 = 1/5

y = mx + b
slope(m) = 1/5
(200,40)...x = 200 and y = 40
now we sub...we r looking for b, the y int

40 = 1/5(200) + b
40 = 40 + b
40 - 40 = b
0 = b

so ur equation is : y = 1/5x

if pop star earned 800
800 = 1/5x
800 * 5 = x
4000 = x
3 0
3 years ago
Step by step how to get 4.25 from 102 divided by 24
eduard
It is 8.5, how you get it is simple. (Divide 102 by 24, then add 4.25 to that answer)
5 0
3 years ago
Which graph is an example of a cubic function
Firlakuza [10]
The graph of a cubic function has its ends in opposite direction.

A cubic function with positive coefficient rises towards right and falls towards left. 

A cubic function with negative coefficient rises towards left and falls towards right. 

The graph attached below shows the parent cubic function y = x³

5 0
3 years ago
Read 2 more answers
Create a list of steps, in order, that will solve the following equation 1/4(x+5)^2-1=3
Paul [167]

Answer:

Add 1 to each side

Multiply each side by 4

Take the square root of each side

Subtract 5 from each side

Combine terms

Step-by-step explanation:

1/4(x+5)^2-1=3

Add 1 to each side

1/4(x+5)^2-1+1=3+1

1/4(x+5)^2=4

Multiply each side by 4

4*1/4(x+5)^2=4*4

(x+5)^2=16

Take the square root of each side

sqrt((x+5)^2)=±sqrt(16)

x+5 = ±4

Subtract 5 from each side

x+5-5 = -5  ±4

x = -5  ±4

Combine terms

x = -5+4       x = -5-4

x = -1            x = -9

7 0
3 years ago
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