If angle 2 is 45 degrees, what is the measurement of angle 4?

Answer:

{4, 13}

Step-by-step explanation:

Represent the integers by I and J.  Then I + J = -17 and I*J = 52.

Let's solve this system using substitution.  Solve the first equation for I as follows:  

I + J = -17 becomes I = -J - 17

Substitute -J -17 for   I   in the second equation:

(-J - 17)*J = 52

Performing the indicated multiplication, we get:

-J^2 - 17J - 52 = 0

Let's solve this using the quadratic formula.  The quadratic coefficients here are {-1, -17, -52}, and so the discriminant, b^2 - 4ac, is

(-17)^2 - 4(-1)(-52), or 289 - 208, or 81.  This result is positive, so we know that the quadratic equation has two real, unequal roots.  They are:

      17 ± √81         17 ± 9

J =  --------------- = ---------------

         2(-1)                  -2

Evaluating this last result, we get J = (17 + 9)/2, or J = 13, and

J = (17 - 9)/2 = 8/2, or J = 4

Answer:

Mean= 3.90 (4)

Median= 2

Mode= 2

Range= 4

Answer:

mean: 3.9

Median: 2.0

mode: 2.0

Range: 12

Step-by-step explanation:

Answer:

1 to 4

Step-by-step explanation:

Given function:

as you can see, everytime it goes up, it multiply by 4...this means that 1 dollar=4 phone book...

Divide both digit by highest factor:

Therefore, for every dollar, Sammy can get 4 phone books.

Answer:

22

Step-by-step explanation:

55% of 40=

0.55*40=22

Answer:

22

Step-by-step explanation:

100 - 45 = 55

55 % of 40

Answer:

y=1/2x+5

Step-by-step explanation:

m= change in y over change in x;  the y-value is going up by 1 every time;  the x-value is going up by 2; change in x/change in y is 1/2

b= whatever value the y is when x is 0 is your y-intercept; when x is 0 y is 5

Answer:

C. 56.25π

Step-by-step explanation:

Circumference=15π=πd⇒d=15

Area=πr^2⇒r=d/2⇒r=7.5⇒π7.5^2=56.25π

the volume of a prism is v=ahh, where b is the base and h is the height. The base of the prism is a rectangle. Multiply the base by the height, and that is the volume.

Answer:

1. 2:5

2. 110 (the total degree of a triangle is 180 so it would be 40+30+x=180)

3. 37 (It's a right angle, 90 degrees so it would be 90-53=x)

Answer:

the answer is straight through the origin

Answer:

Step-by-step explanation:

Number 1s slope is 1/2, number 2 is -4/3. Number 3 is 0. Number 4 slope is also 0 i think. Number 5-10 im not sure

Answer:

-A: B

-B: D

-C: A

Hope this helps! :)

Answers:

14A. B: $25.44

14B. D: $6.36

14C: A: peanuts

Comment:

I hope this helps!

Answer:

f{0) is greater than g(0) and f(2) is greater than g(2).

Step-by-step explanation:

f{0) is greater than g(0) = f(0)=8  and g(0)=2

f(2) is greater than g(2) = f(2)=8 and g(2)= -4

The two statements that are correct are f(0) is greater than g(0), and f(2) is greater than g(2).

The general equation of a parabola is given as,

[tex]y=a(x-h)^2+k[/tex]

where (h,k) is the coordinate of the vertex of the parabola.

The equation of the parabola with vertex (1,9) can be written as,

[tex]y=a(x-h)^2+k\\\\y=a(x-1)^2+9[/tex]

Now, the value of a can be found by putting one zero of the parabola,

[tex]y=a(4-1)^2+9\\\\0=a(3)^2+9\\\\-9=a(3)^2\\\\-9=a9\\\\a=-1[/tex]

Thus, the equation of the parabola can be written as y=-(x-1)²+9.

A.) The value of the two functions when the value of x is -2 can be written as,

[tex]f(x)=-(x-1)^2+9\\\\f(-2)=-(-2-1)^2+9\\\\f(-2)=0[/tex]

[tex]g(x) = -3x + 2\\\\g(-2) = -3(-2) + 2\\\\g(-2)=8[/tex]

Therefore, f(-2) is less than g(-2).

B.) The value of the two functions when the value of x is -1 can be written as,

[tex]f(x)=-(x-1)^2+9\\\\f(-1)=-(-1-1)^2+9\\\\f(-2)=5[/tex]

[tex]g(x) = -3x + 2\\\\g(-1) = -3(-1) + 2\\\\g(-1)=5[/tex]

Therefore, f(-1) is equal to g(-1).

C.) The value of the two functions when the value of x is 0 can be written as,

[tex]f(x)=-(x-1)^2+9\\\\f(0)=-(0-1)^2+9\\\\f(0)=8[/tex]

[tex]g(x) = -3x + 2\\\\g(0) = -3(0) + 2\\\\g(0)=2[/tex]

Therefore, f(0) is greater than g(0).

D.) The value of the two functions when the value of x is 1 can be written as,

[tex]f(x)=-(x-1)^2+9\\\\f(1)=-(1-1)^2+9\\\\f(1)=9[/tex]

[tex]g(x) = -3x + 2\\\\g(1) = -3(1) + 2\\\\g(1)=1[/tex]

Therefore, f(1) is greater than g(1).

E.) The value of the two functions when the value of x is 2 can be written as,

[tex]f(x)=-(x-1)^2+9\\\\f(2)=-(2-1)^2+9\\\\f(2)=8[/tex]

[tex]g(x) = -3x + 2\\\\g(2) = -3(2) + 2\\\\g(2)=-4[/tex]

Therefore, f(2) is greater than g(2).

Thus, the two statements that are correct are f(0) is greater than g(0), and f(2) is greater than g(2).

Learn more about Equation of Parabola:

https://brainly.com/question/4074088

Answer:

The difference between the two is that in a dependent event an action will affect the ultimate outcome, but in an independent event an action won't affect the ultimate outcome. A way to tell is if the total number of the "item" at hand will be affected by the action the question is saying. In the case of the example given, that is a dependent event because the total of marbles you started with is changed due to you not replacing the one you first took. Therefore the probability is now different.

Step-by-step explanation:

Answer:

Graph B.

Step-by-step explanation:

this is nonlinear because you cannot connect or create a line with where the dots are plotted if that makes sense.

hope this helps!

Answer:

x=60.9

Step-by-step explanation:

Let x represent the number

x - 54%x = 28

x - 0.54x = 28

0.46x = 28

Divide both sides by 0.46

x = 28/0.46

x = 60.86

x = 60.9

Answer: A parallelogram is a quadrilateral with both pairs of opposite sides parallel.

Step-by-step explanation: If a quadrilateral has 2 sets of opposite sides congruent, then it is a parallelogram.

Answer:

D!

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

15/100 * 20, because the meal is 20 dollars and to find the percent of something you divide it with 100 so you will divide 15 with 100 and you’ll get 0.15. Then you will times it with the amount the meal cost because thats the charge. So 0.15•20 and you’ll get $3. A 15% tip for a $20 meal is $3.

Answer:

D

Step-by-step explanation:

IF you count the dots for each graph, you would see that the minimum for B is Higher than group A's maximum, Therefore, the numbers do not overlap. This means that at a simple glance you can see which company does better.

Answer: its A

Step-by-step explanation:

A. y = -x^2 - 1

B. y = x^2 + 3

C. y = 1/2x

D. y = -3x - 5

Answer:

$300 | 300 Dollars of United States

Answer:

Here you go

Step-by-step explanation:

Hope this helps :)

Answer:

She spent $10.12

Step-by-step explanation:

8.60*.07 = .602, round that to .60

8.60 + .60 = 9.2

9.2*.10 = .92

9.2 + .92 = 10.12

Answer:

$10.12

Step-by-step explanation:

Do $8.60 + $8.60(7%) = $9.20

Then $9.20 + $9.20(10%) = $10.12