Solving linear functions The sum of the measures of the triangles of all triangles is 180 degrees if one angle of the triangle measures 45 degrees, and the other two angles are equal, what is the measure of each of the other two angels.

Answers

Answer 1

Solution

Step 1:

Let the other two equal angles be x.

Step 2:

Sum of angles in a triangle is 180 degrees:

[tex]\begin{gathered} x\text{ + x + 45 = 180} \\ \\ 2x\text{ = 180 - 45} \\ \\ 2x\text{ = 135} \\ \\ x\text{ = }\frac{135}{2}\text{ = 67.5} \end{gathered}[/tex]

Answer

The measure of the other two angles is 67.5


Related Questions

It's no small feat to travel 160,000,000km, to visit 200 million children, in 800 million homes, in only 34 hours... Luckily Santa has magic on his side. If he visits 200,000,000 children in 34 hours, How many Kids per hour.

Answers

Answer

Santa visits 5,882,353 kids per hour

Explanation

The mathematical expression to get the number of kids visited per hour is

[tex]\text{Number of kids visited per hour = }\frac{Total\text{ number of kids}}{Total\text{ number of hours available}}[/tex]

Total number of kids = 200,000,000 kids

Total number of hours available = 34 hours

[tex]\begin{gathered} \text{Number of kids visited per hour = }\frac{200000000}{34} \\ =5,882,352.94 \\ =5882352\text{ kids per hour to the nearest whole number} \end{gathered}[/tex]

Hope this Helps!!!

Based on historical data, three hospital trauma centers in ontario have 50, 30, and 20 percent of cases. the probability of a case resulting in a malpractice lawsuit in each of the three hospitals is .001,.005, and .008 respectively. if the malpractice suit is filled, what is the probability that it originated in hospital 1?

Answers

The probability that if a malpractice suit is filed, it originated in hospital 1 = P(B1|A) =

To solve this problem we will use Baye's theorem which states

P(B1 |A) = P(A/B1)P(B1) / P(A|B1)P(B1) + P(A|B2)P(B2) + P(A|B3)P(B3)       (1)

where P(A|B) is the probability of event A occurring given that event B has already taken place.

Probability of hospital 1 having the case = P(B1) = 50

Probability of hospital 2 having the case = P(B2) = 30

Probability of hospital 3 having the case = P(B3) = 20

Probability of case resulting in malpractice in hospital 1= P(A/B1) =0.001

Probability of case resulting in malpractice in hospital 2= P(A/B2) =0.005

Probability of case resulting in malpractice in hospital 3= P(A/B3) =0.008

The probability that if a malpractice suit is filed, it originated in hospital 1 = P(B1|A)

Using equation (1)

P(B1|A) = (0.001)(50) / (0.001)(50) + (0.005)(30) + (0.008)(20)

          = 0.05 / ( 0.05 + 0.15 + 0.16 )

          = 0.05 / 0.36

          = 0.138

Problem based on Bayes's theorem

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f(x)=-3x+12find f(-6)

Answers

Answer:

f(-6)=18d

Step-by-step explanation:

Answer:

-3x-72f

Step-by-step explanation:

Can some one help please I don’t know their

Answers

Answer: 2 complex solutions; the discriminant is less than zero

Step-by-step explanation:

When the D<0 there are no real solutions because the quadratic does not intercept the x-axis on the graph.

Answer for (4)(4+2^2-4) ???

Answers

The answer would be 16

Korey is planning to open a comic book store. His store will cost $12,500 to open and will come with an $8,000 total annual operational cost. If his store makes $12,000 in profit during the first year, and profits increase by 6% each year from then, how long will it take for Korey to see an overall profit in his business (where total profits exceed total expenses)? A = P (1 + r) superscript t

Answers

It will take 3 years for Korey to see an overall profit in his business.

What is a percentage?

A percentage is a number or ratio that represents a fraction of 100. 

We have,

Cost of the store to open = $12500

Cost of the operational cost = $8000

Profit store makes each year = $12000

Profit increase each year = 6%

Profit = Income - Total cost

First-year:

Profit = 12000 - (12500 + 8000) = -8500

There is no profit in the first year.

2nd year:

Profit = 2 x (12000 + 6% of 12000) - (12500 + 2 x 8000)

         = 25440 - 28500

         = -3060

There is no profit in the second year.

Third-year:

Profit =  3 x (12000 + 6% of 12000) - (12500 + 3 x 8000)

         =  38160 - 36500

         = 1660

We see that there is a profit of 1600 in the third year.

Thus,

It will take 3 years for Korey to see an overall profit in his business.

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PAWEZZE HELP ASAP FOR 20 POINTS

Answers

Answer:

the 2nd one

Step-by-step explanation:

solve for x of the triangle

Answers

Answer:

[tex]x=3[/tex]

Step-by-step explanation:

Since on one side of the triangle, both of the side halves are equal, then 5x-4 and 3x+2 are equal.

[tex]5x-4=3x+2[/tex]

We can just use simple algebra to find x.

[tex]5x-4=3x+2\\5x=3x+6\\2x=6\\x=3[/tex]

Answer them please. I need help ASAP!!!!!

Answers

Answer:

A. -26, -12.7, -9/2, 2/100, 7, 11 1/4, 41/2, 35

B. |-12.7| = 12.7,    |-11 1/4| = |-45/4| = 45\4

B Optional 45/4 = 11.25 as decimal form

Step-by-step explanation:

For the mixed fractions you have to divide it. For the whole fraction

11 1/4    

1. 11 x 4=44

Then add the 1. 44+1=45

The denominator doesn't change

45/4 then divide if it ask for the decimal form which is 11.25.

I'm not entirely sure of the answers. Good luck :)

1. The polynomial function F(x) = x² + 6x + 8 has a known factor of (x + 4). Rewrite F(x) as a product of
linear factors.

Answers

Answer:

f=12

Step-by-step explanation:

F(4) = 4^(2) + 6(4) + 8

work it out pleasee :)

Answers

Answer:

18

Step-by-step explanation:

18 is the HCF of 36 and 90 , then

[tex]\frac{36}{90}[/tex] ( divide numerator/ denominator by 18 )

= [tex]\frac{2}{5}[/tex] ← in simplest form

Can some one solve this

Answers

Given Two points are :-

A(2,12) and B(-1,17)

Slope of the line that is parallel to AB is given by formulae y2-y1/x2-x1

=> m = 17-12/-1-2 = 5/-3=-5/3

Also parallel lines run in same direction and hence have same slope!

4 x 10 to the power of 5

Answers

Answer:

400000

Step-by-step explanation:

Have a Good Day!

please help I will give you brainliest

Answers

Answer:

Both the line right before the 2 and the line right before the one

Step-by-step explanation:

84 km a centímetros

Alguien sabe como se resuelve


Answers

8400000cm

84 kilometer is 8400000 centimeter.

How to convert kilometer to centimeter?In the International System of Units, a Centimeter or centimeter is a unit of length equal to one hundredth of a meter, with centi being the SI prefix for a factor of 1/100.A centimeter is a metric length measurement unit. One centimeter equals ten millimeters or one meter. A cheerio is typically one centimeter in diameter.One kilometer equals 1000 meters. When we need to travel from one location to another, we use kilometers to calculate the distance. Kilometers can be used to calculate the distance between cities or the distance traveled by a plane.

Here given 84 km ,

We know that 1 km = 1000 meter

               so 84 km  = 84 x 1000 meter

                                 = 84000 meter

 and 1 meter = 100 cm

 so here 84000 meter = 84000 x 100 cm

                                       = 8,400,000 Centimeters

∴ 84 km = 8400000cm

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Kyle and Nadim are on the same space on a board game they are playing. Kyle moves back 2 spaces in one turn and moves back 3 more spaces in his second turn. Nadim has remained in the same place. What integer represents Kyle’s location relative to Nadim’s location on the game board?

Answers

The integer -5 represents Kyle’s location relative to Nadim’s location on the game board.

It is given in the question that Kyle and Nadim are on the same space on a board game they are playing. Kyle moves back 2 spaces in one turn and moves back 3 more spaces in his second turn while Nadim remained in the same place.

We have to find the integer that represents Kyle’s location relative to Nadim’s location on the game board.

We usually denote going ahead by the positive sign and the going back by the negative sign.

Hence, Kyle moving back 2 spaces and then again moving back 3 spaces is equal to moving back 5 spaces which will be represented by the integer -5.

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7. What is the equation of the line in slope intercept
form that passes through (6,8) and (-2,4)

Answers

[tex](\stackrel{x_1}{6}~,~\stackrel{y_1}{8})\qquad (\stackrel{x_2}{-2}~,~\stackrel{y_2}{4}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{4}-\stackrel{y1}{8}}}{\underset{run} {\underset{x_2}{-2}-\underset{x_1}{6}}} \implies \cfrac{ -4 }{ -8 } \implies \cfrac{ 1 }{ 2 }[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{8}=\stackrel{m}{ \cfrac{ 1 }{ 2 }}(x-\stackrel{x_1}{6}) \\\\\\ y-8=\cfrac{ 1 }{ 2 }x-3\implies {\Large \begin{array}{llll} y=\cfrac{ 1 }{ 2 }x+5 \end{array}}[/tex]

Given θ is in the third quadrant, φ is in the second quadrant, sinθ=-5/13, and tanφ=-8/15. Find the value of tan(π+θ)1) 12/52) 13) 5/12

Answers

[tex]\begin{gathered} \sin \theta=\frac{-5}{13} \\ \tan (\pi+\theta)=\tan \theta \\ \sin \theta=\frac{p}{h} \\ \text{base}=\sqrt[]{(hypotonous)^2-(perpendicular)^2} \\ =\sqrt[]{(13)^2-(-5)}^2 \\ =\sqrt[]{169-25} \\ =\sqrt[]{144} \\ =12 \\ \tan \theta=\frac{p}{b} \\ \tan \theta=\frac{-5}{12} \end{gathered}[/tex]

Javen babysat his little brother on
Saturday and made $66.50. He
babysat for 7 hours. How much
money did he earn per hour? Help

Answers

Answer:

$9.50

Step-by-step explanation:

      9.5

7  66.5

   63

      35

       35

        0

Hopes this helps please mark brainliest

Answer: 9.50

Step-by-step explanation:

I calculated and estimated a solution to this problem.

Its 9.50

figure it out ig thats how I did it.

Point T and point U are shown below.
What are the coordinates of the midpoint of
point T and point U?
Y
U (4, 12)
T(4,2)

Answers

Point 2 on the exact cautious

f(n) = 4n+ 3
g(n) = n³-3n
Find (f - g)(n)

Answers

Answer:

[tex]-n^3+7n+3[/tex]

Step-by-step explanation:

[tex](f-g)(n)=f(n)-g(n) \\ \\ =4n+3-n^3+3n \\ \\ =-n^3+7n+3[/tex]

please help trying to do a test
(x + 1) a factor of 2x ^ 4 - 9x ^ 3 - 20x ^ 2 + 147x - 180 Find out by using the Factor theorem.

Answers

Answer:

Step-by-step explanation:

4

5 is not more than x

Answers

"not more" means "less than or equal to". We just have to use the inequality sign "less than or equal to" which means 5 is less than or equal to x.

Having said that, we can express the statement as follows

[tex]5\leq x[/tex]

Which of the following functions translates the graph of the parent function f (2) = 2? left 2 units?

Answers

f (x) = x^2, translated left ,2 units

Is a parabola

Vertex is at (0,0)

left translation is (x +2)

(-2 + 2)= 0

Then answer is

Option A ) h(x)= (x+2)^2

Write an equation of the line that passes through(0, -2) and(4,10)

Answers

Answer: y = 3x -2

Step-by-step explanation:

1) slope formula

y2 - y1 / x2 - x1

2) find the y's and x's

y2 = 10

y1 = -2

x2 = 4

x1 = 0

3) plug them into the equation

10 - (-2) / 4 -0

10+2/4

12/4

4) simplify

slope = 3

5) write out equation

y = 3x + b

6) plug in coordinates

(0,2)

-2 = 3(0) + b

7) find the y intercept

-2 = b

8) plug in y intercept

y = 3x -2

11. What is the least common
70 ?
multiple of 30, 40, and

Answers

Answer:

i think 840 i searched it up

Step-by-step explanation:

Ivan borrowed money from a credit union for 5 years and was charged at an annual rate 9% .The total interest that he paid was $2700.How much money did he borrow

Answers

The formula to calculate the total interest paid is:

[tex]I=P((1+r)^n-1)[/tex]

Where:

• I, is the total interest paid

,

• P, is the amount borrowed

,

• r, is the interest rate

,

• n, is the times that the interest was compounded

Solving this formula for P,

[tex]\begin{gathered} I=P((1+r)^n-1) \\ \\ \Rightarrow P=\frac{I}{(1+r)^n-1} \end{gathered}[/tex]

Using the data given,

[tex]\begin{gathered} P=\frac{2700}{(1+\frac{9}{100})^5-1} \\ \\ \Rightarrow P=5012.77 \end{gathered}[/tex]

Therefore, we can conclude that he borrowed $5,012.77

Can somebody help me with 7 and 8

Answers

The vertices of parallelogram MNOP after a rotation of 180° are: M' (-1, -7), N' (-8, -5), O' (-4, -2), and P' (3, -4).

A counterclockwise rotation of 270° to triangle GHI would produce an image with this vertices: G' (-2, 0), H' (-6, -7), and I' (-8, -3).

How to determine the vertices of the image?

In this exercise, you are required to rotate parallelogram MNOP by 180° and triangle GHI by 270° in a counterclockwise direction. In Geometry, the rotation of parallelogram MNOP 180° about the origin in a clockwise or counterclockwise direction would produce a point that has the vertices (-x, -y):

(x, y)                           →               (-x, -y)

Point M' = (1, 7)        →    Point M' = (-(1), -(7)) = (-1, -7).

Point N' = (8, 5)       →    Point N' = (-(8), -(5)) = (-8, -5).

Point O' = (4, 2)       →    Point O' = (-(4), -(2)) = (-4, -2).

Point P' = (-3, 4)       →   Point P' = (-(-3), -(4)) = (3, -4).

In Geometry, the rotation of triangle GHI by 270° about the origin in a counterclockwise direction would produce a point that has the vertices (y, -x):

(x, y)                           →               (y, -x)

Points at G = (0, -2)   →  Points at G' = (-2, 0)

Points at H = (7, -6)   →  Points at H' = (-6, -(7)) = (-6, -7).

Points at I = (3, -8)   →  Points at I' = (-8, -(3)) = (-8, -3).

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WILL GIVE BRAINLIST TO BEST ANSWER PLUS EXTRA POINTS
A company rents a Popcorn machine. Customers are charged a fixed amount plus a rate based on the number of hours the machine is rented. The company uses the function shown below to determine the total charges, in dollars, for the customer.
ƒ (x) = 40 + .15x
What does f(x) represent?
What does the 40 represent?
What does the 0.15 represent?

What does the ‘x’ represent?

Answers

1. F(x) represents the total cost function for renting a Popcorn machine.

2. The 40 in the equation represents the Fixed Cost per day of the rental.

3. The 0.15 represents the variable cost per hour.

4. The x represents the number of hours the machine is rented.

What is a function?

A function is a mathematical expression, rule, or law defining the mathematical relationship between the independent variable and the dependent variable.

Mathematical functions are used to define the mathematical relationships that show how the dependent variable can be determined, given an independent variable.  They are written with the equal sign (=).

Thus, we can conclude that the rental cost function ƒ (x) = 40 + .15x shows the total amount that a customer would be charged each day for renting a Popcorn machine.

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Y=5575•(0.65)^ta. What is the initial value? b. What is the decay factor?

Answers

Answer:

a) Initial Value = 5575

Decay factor = 0.35

Explanation:

The given expression is:

[tex]Y\text{ = 5575}\times(0.65)^t[/tex]

a) What is the initial value

The initial value of Y will take place when t = 0

Substituting t = 0 into the given equation:

[tex]Y\text{ = 5575}\times(0.65)^0[/tex][tex]Y=\text{ 5575 }\times\text{ 1 = 5575}[/tex]The initial value is Y = 5575

b) What is the decay factor

The value of a substance due to an exponential decay is given by the general expression:

[tex]Y=A(1-r)^t[/tex]

Where A = original/Initial value, and r = decay rate

Comparing the above equation with the given equation shown below:

[tex]Y=5575(0.65)^t[/tex]

It is clear from the comparison of both equations that A = 5575 and :

1 - r = 0.65Solving for r:r = 1 - 0.65r = 0.35The decay factor is 0.35
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