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max2010maxim [7]
3 years ago
14

Need help desperately T~T

Mathematics
1 answer:
babunello [35]3 years ago
4 0
As you can see, angle 5 and angle 6 are supplementary.  And angle 5 and angle 3 are congruent because they are alternate interior angles.  

So it will be
x+2 = 180- x+3 
                         move x over from the right to the left
2x+2 = 183
                         move 2 over from the left to the right
2x = 181
                          divide by 2
x= 90.5

and angle 3 and angle 1 are vertical angles so they are congruent.  Using the angle 3 formula to solve for the answer:

90.5+3 =93.5

When angles are congruent, their measures are congruent, therefore, measure of angle 1 is 93.5
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It is estimated that 88% of senior citizens suffer from sleep disorders and 7% suffer from anxiety. Moreover, 5% of senior citiz
Alla [95]

Answer:

a) 0.71

b) 0.06

Step-by-step explanation:

We solve using Baye's Theorem

It is estimated that 88% of senior citizens suffer from sleep disorders and 7% suffer from anxiety. Moreover, 5% of senior citizens suffer from both sleep disorders and anxiety.

We have Two events

A and B

Events A = 88% of senior citizens suffer from sleep disorders

P(A) = 0.88

Event B = 7% suffer from anxiety

P(B) = 0.07

Moreover, 5% of senior citizens suffer from both sleep disorders and anxiety.

P(A and B) = 0.05

a)Given that a senior citizen suffers from anxiety, what is the probability that he or she also suffers from a sleep disorder? Round your answer to the nearest hundredth.

This is calculated as:

P(A and B)/P(B)

= 0.05/0.07

= 0.7142857143

Approximately = 0.71

B) Find the probability that a senior citizen suffers from anxiety, given that he or she has a sleep disorder. Round your answer to the nearest hundredth.

This is calculated as:

P(A and B)/P(A)

= 0.05/0.88

= 0.0568181818

Approximately = 0.06

7 0
2 years ago
F(x)= x+28/x-7 for inverse functions
ioda

The inverse function of the given function is \mathbf{= \dfrac{28+7x}{x-1}}

<h3>What is the inverse of a function?</h3>

A function g is the inverse of a function f, if and only if the values of y= f(x), x = g(y).

From the formula given:

\mathbf{y=f(x) = \dfrac{x+28}{x-7}}

Let's substitute x with y;

\mathbf{y= \dfrac{x+28}{x-7}}

\mathbf{x=\dfrac{y+28}{y-7}}

Solve for y;

\mathbf{= \dfrac{28+7x}{x-1}}

Learn more about solving inverse functions here:

brainly.com/question/3831584

#SPJ1

8 0
2 years ago
A Triangular Park ABC has sides 120 m, 80m and 50m. a gardener has to put a fence all around it and also plant grass inside. How
Vadim26 [7]

The perimeter = sum of all sides

= 120 + 80 + 50

= 250

So 250 - 3

247

Left space for gate

Now cost of fencing = Rs 20/per meter

= 247 × 20

= Rs 4,940

Now the area of the triangular park can be found using heron's formula

S = (a+b+c)/2

S = (120+80+50)/2

S = 250/2

S = 125

Now

Herons formula = √s(s-a)(s-b)(s-c)

√125(125-120)(125-80)(120-50)

√125(5)(45)(70)

√5×5×5×5×5×3×3×5×14

After Making pairs

5×5×5×3√14

375√14

Therefore 375√14m is the area of the triangular park

Must click thanks and mark brainliest

7 0
3 years ago
Read 2 more answers
Every year on Earth Day, a group of volunteers pick up garbage at Hidden Falls Park. The time takes to clean the beach varies in
KengaRu [80]

Answer:

Step-by-step explanation:

f

8 0
3 years ago
The area of a rectangle is 65 m2 , and the length of the rectangle is 3 m less than twice the width. find the dimensions of the
salantis [7]
X = <span>width
2x-3 = </span><span>length 

</span>x(2x-3) = 65\\&#10;2x^2 - 3x - 65 = 0 \\ D=b^2-4ac=(-3)^2-4*2*(-65)=529\\&#10;x_{1,2}= \frac{-bб \sqrt{D} }{2a}= \frac{3б 23}{4} \\ x_1=-5  \ \ \O \\ x_2=6.5 \ \

width = 6.5 m
length  = 2x-3 = 2*6.5 - 3 = 10 m
4 0
3 years ago
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