All categories

3 years ago

The answer of this please? thank you for very much i really appreciate!

Mathematics

1 answer:

Zolol [24]3 years ago

5 0

Answer:

77 degrees

Step-by-step explanation:

The interior angles of a triangle always add up to 180 degrees, so you can form an equation:

$x + 71 + 32 = 180$

$x + 103 = 180\\x = 77$

You might be interested in

What is the solution to the inequality?

asambeis [7]

Simplify both sides of the inequality, then isolate the variable. That should leave you with x> - 4

3 0

3 years ago

The average income, I, in dollars, of a lawyer with an age of x years is modeled with the following function:

Alinara [238K]

The answer is 37 years old.

I = -425x² + 45500x -650000
I = 450000

-425x² + 45500x -650000 = 450000
-425x² + 45500x - 650000 - 450000 = 0
-425x² + 45500x - 1100000 = 0

Divide all factors by 25:
- 17x² + 1820x - 44000 = 0

This is quadratic equation (ax² + bx + c = 0)
$x_{1,2} = \frac{-b+/- \sqrt{ b^{2}-4ac } }{2a} = \frac{-1820+/- \sqrt{ 1820^{2}-4*(-17)*(-44000) } }{2*(-17)} = \\ \\ = \frac{-1820+/- \sqrt{3312400-2992000 } }{-34} = \frac{-1820+/- \sqrt{320400} }{-34} =\frac{-1820+/- 566}{-34} \\ \\ 
x_1= \frac{-1820+ 566}{-34}= -37 \\ \\ 
x_2 = \frac{-1820- 566}{-34}=70$

Since, the youngest age is needed, the correct answer is x = 37

3 0

3 years ago

A single card is drawn from a standard 52-card deck. find the conditional probability that the card is a club, given that it is

Ghella [55]

The probability of getting a Club given that the card is a Ten is 0.25.

According to the statement

we have given that the there is a deck of the 52 cards and we have to find the conditional probability that the card is a club and the given card is a 10 number card.

So, For this purpose we know that the

Conditional probability is a measure of the probability of an event occurring, given that another event has already occurred.

And according to this,

The probability P is

P(Club) = 13/52 = 1/4

P(Ten) = 4/52 = 1/13

P(Club and Ten) = (1/4)(1/13) = 1/52

And we know that the

P(Club|Ten) = P(Club and Ten)/P(Ten)

And then substitute the values and it become

= (1/52)/(1/13) = (1/52)(13/1)

= 13/52 = 1/4

= 0.25

So, The probability of getting a Club given that the card is a Ten is 0.25.

Learn more about probability here

brainly.com/question/24756209

#SPJ4

6 0

1 year ago

Which option below shows the graph of the function g(x) = (0.20)2 x ?

taurus [48]

The first/selected graph matches g(x)=0.2*2^x

4 0

3 years ago

Read 2 more answers

What is the answer to this question?

Degger [83]

Answer:

$y = -\frac{19}{9}x + \frac{5}{3}$

Step-by-step explanation:

Given:

19x + 9y = 15

Required:

Rewrite in slope-intercept form, y = mx + b

SOLUTION:

19x + 9y = 15

Subtract 19x from both sides

9y = -19x + 15

Divide both sides by 9

y = -19x/9 + 15/9

$y = -\frac{19}{9}x + \frac{5}{3}$

5 0

2 years ago