Kyle volunteered 5.5 hours at the library this week. He needs to volunteer a total of 12 hours. Which equation can be used to find the number of hours, h, Kyle still needs to volunteer this week?​

Answer:

110°

Step-by-step explanation:

4x+10 + (3x-5) = 180

7x + 5 = 180

7x = 175

x = 25

∠2 = 4(25) + 10 = 110

The measure of angle 2 in degrees, when both lines are perpendicular, is approximately 58.56 degrees.

To find the measure of angle 2 when the lines are perpendicular, we can set up an equation. Since the angles are formed by perpendicular lines, we know that the sum of angle 2 and angle 3 will be equal to 90 degrees. Mathematically, we can write this as:

(4x + 10) + (3x - 5) = 90

Now, let's solve the equation to find the value of x. First, combine like terms:

4x + 3x + 10 - 5 = 90

7x + 5 = 90

Next, isolate x by subtracting 5 from both sides:

7x = 85

Finally, divide by 7 to solve for x:

x = 85 / 7 ≈ 12.14

Now that we have the value of x, we can find the measure of angle 2 by substituting x back into its expression:

Angle 2 = 4x + 10

Angle 2 = 4(12.14) + 10

Angle 2 ≈ 48.56 + 10

Angle 2 ≈ 58.56 degrees

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Answer:

Step-by-step explanation:

8 .) Probability of students has no pets in senior = No. of outcomes favourable / Total no.of outcome

= 15 / 24

9.) Probability of students has pets in junior = No.of outcomes favourable / Total no. of outcomes

= 37/52

Answer:

27%

Step-by-step explanation:

divide 6 by 22. you get .27 and then you move the decimal point to the right twice

Answer:

27%

Step-by-step explanation:

six divided by twenty two is 0.272, which is 27%

Answer:

4.

Step-by-step explanation:

The orientation of the shape is the same  4 times during 360 degree turn.

Answer:

4

Step-by-step explanation:

Rotational symmetry, also known as radial symmetry in biology, is the property a shape has when it looks the same after some rotation by a partial turn. An object's degree of rotational symmetry is the number of distinct orientations in which it looks exactly the same for each rotation.

Answer:

x = 60 degree

Step-by-step explanation:

90 + 90 + 2x - 10 + 2x + 2x + 10 = 540 degree (sum of 5 interior angles)

180 + 6x = 540

6x = 540 - 180

x = 360/6

x = 60 degree

I = $ 1,200,000.00

Equation:

I = Prt

Calculation:

First, converting R percent to r a decimal

r = R/100 = 3%/100 = 0.03 per year,

then, solving our equation

I = 1000000 × 0.03 × 40 = 1200000

I = $ 1,200,000.00

The simple interest accumulated

on a principal of $ 1,000,000.00

at a rate of 3% per year

for 40 years is $ 1,200,000.00.

Answer:

y=33 degree

Step-by-step explanation:

y = 33 degree (the relation between y and 33 is they are vertically opposite angles anf verticelly opposite angles are always equal)

Answer:

[tex]p=0.5[/tex]

Step-by-step explanation:

A standard die has six numbers (1 through 6). That means there is a 1/6 probability of rolling any one number. There is a 3/6 probability of rolling one of the selected numbers which simplifies to 1/2 or 0.50

Answer:

D

Step-by-step explanation:

it would be d because that's where the 3 is in the y axis

Answer:

A

Step-by-step explanation:

Graph A shows the parabola intersecting the x-axis at 1 and 3. Which are the solutions to the equation when you solve it by factoring, using the quadratic formula, the PQ formula, or completing the square.

Answer:

that's my answer

hope it helps

Answer:

solid shade above

Step-by-step explanation:

graph line same way you would if it was an equal sign

all the y's that are greater are above the line

its solid because is greater than OR equal to. Equal to includes the line itself as a set of solutions

The answer is 48 notepads.

Answer:

1 9 3

Step-by-step explanation:

i think only this much

Answer:

1,3 and 9

As Nine is divisible by 1,3 and 9

Answer:

8

Step-by-step explanation:

by definition:

[tex]log_an=16\\\\log_a\sqrt{n}=log_a n^{\frac{1}{2}}=\frac{1}{2}log_a n=\frac{1}{2}(16)=8[/tex]

Answer:

5 =x

Step-by-step explanation:

The top and the bottom are the same length

17 = 3x+2

Subtract 2 from each side

17-2 = 3x+2-2

15 =3x

Divide by 3

15/3 = 3x/3

5 =x

Answer:

x = 5

Step-by-step explanation:

3x + 2 = 17

3x + 2 - 2 = 17 - 2

3x = 15

3x ÷ 3 = 15 ÷ 3

x = 5

Answer:

A sample of 752 should be taken.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is of:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

90% confidence level

So [tex]\alpha = 0.1[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].

No preliminary sample is taken

This means that [tex]\pi = 0.5[/tex]

How large should the sample be to be 90% sure that the estimate is within .03 of the population proportion?

This is n for which M = 0.03. So

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.03 = 1.645\sqrt{\frac{0.5*0.5}{n}}[/tex]

[tex]0.03\sqrt{n} = 1.645*0.5[/tex]

[tex]\sqrt{n} = \frac{1.645*0.5}{0.03}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.645*0.5}{0.03})^2[/tex]

[tex]n = 751.7[/tex]

Rounding up:

A sample of 752 should be taken.

From the graph,

g(2) = 4 ( from the coordinate (2,4))

[ The green line represent the function g(x)]

f(2)= 0

[ The red line represent the function f(x)]

(g + ƒ)(2) = g(2)+f(2) = 4+0 = 4

OPTION A is the correct answer

Answer: 4145.43

Have a great day! ;)

Answer:

4x+8

Step-by-step explanation:

X + 3( x + 2) + 2

Distribute

x +3x+6+2

Combine like terms

4x+8

Hi there!  

»»————-　★　————-««

I believe your answer is:  

[tex]4x + 8[/tex]

»»————-　★　————-««  

Here’s why:

⸻⸻⸻⸻

[tex]\boxed{\text{Simplifying the expression:}}\\\\\underline{x+3(x+2)+2}\\\\\rightarrow x + 3x + 6 + 2\\\\\rightarrow 4x + 6 + 2\\\\\rightarrow \boxed{4x + 8}[/tex]

⸻⸻⸻⸻  

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

32

Step-by-step explanation:

The perimeter is equal to sum of side lengths

4x + z + 3 + 5z - 3 = 80 add like terms

10z = 80 divide both sides by 10

z = 8 PR is 4z so 8*4 = 32

Answer:

13

Step-by-step explanation:

the answer is 13

the answer is 13

the answer is 13

the answer is 13

the answer is 13

The quotient obtained by dividing 4x²+3x+2 will be 4x + 15 hence option (A) will be correct.

An equation can be defined in numerous ways. Algebraically speaking, an equation is a statement that shows the equality of two mathematical expressions.

A formula known as an equation uses the same sign to denote the equality of two expressions.

In another word, the equation must be constrained with some constraint.

Given that

dividend  =  4x²+3x+2

divider = x -3

⇒ (x - 3) / 4x²+3x+2

⇒ (x - 3) / 4x²+3x+2

→ First it will goes for 4x time so 4x × (x - 3) = 4x² - 12x

Quotient = 4x

so (4x²+3x+2) - (  4x² - 12x ) = 15x + 2

(x - 3) / 4x²+3x+2

→ Second time it goes for 15 so 15 × (x - 3) = 15x -45

Quotient = 15

so  (15x + 2 ) - (  15x -45 ) = 47

Hence, 47 will be the remainder and the quotient will be (4x + 15).

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Answer:

56%

Step-by-step explanation:

because of the 56% it had to be true to be in the question at all.

9514 1404 393

Answer:

Step-by-step explanation:

The rhombus has several relevant properties.

The last of these relations can be used to find x:

  7x° = 35°

  x = 35°/7° = 5

The second of the relations can be used to find y:

  3y° = 90°

  y = 90°/3° = 30

The first of the relations can be used to find z:

  10z -8 = 5z +32

  5z = 40 . . . . . . . . . add 8-5z

  z = 40/5 = 8

If central angle is 360° then Arc length is circumference.

An angle with the circle's center as its vertex is referred to as a central angle. The radius refers to each side of the angle that extends outward from the center to a particular point on the circle.

A circle's perimeter is known as its circumference. It is the circumference of the circle as a whole. A circle's circumference is calculated by multiplying its diameter by the constant. This measurement of a circle's diameter is necessary for someone crossing a circular park or for enclosing a circle. The units for the circumference, which is a linear variable, are the same as those for length.

Since, when considering the circle's central angle we consider 360° which is the central angle of the whole circle.

So, when considering the arc length of a sector, we consider the arc length of the whole circle which is the circumference.

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Answer:

31

Step-by-step explanation:

Median = middle number in terms of value

Usually the first step is to list the numbers in order from least to greatest however the numbers are already listed in order from least to greatest

24, 25, 29, 30, 31, 31, 32, 34, 34

We the just go to the middle number

The middle number would be 31

So we can conclude that the median is 31

If s=side, then each side is 12m.

It got cut off but

12mx12m=144m^2 because mxm=m^2.

heart if helpful

Answer:

I think is 15 dollars.

Step-by-step explanation:

each pound cost 1.5 multiply it by 10

Answer:

$15

Step-by-step explanation:

4 pounds are $6

10pounds are $?

1 pound would be $1.5, because 6/4 = 3/2= 1.5

If one pound is 1.5 dollars, 10 pounds would be 10*1.5=$15

Answer:

28 minutes

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

so it is 28 minutes

Step-by-step explanation:

Answer:

35

All angles of a triangle = 180 degrees subtract 40 from 180 and you get 140

180-40=140 because the other angles are equal with the same equation to get them divide 140 by 2 140/2=70  then you have to get h alone so you divide by the other 2 in the equation 70/2=35  h=35

Answer:

55

Step-by-step explanation:

In triangle ABC (LET'S SAY TRIANGLE IS ABC)

Angle A=40

Angle B = Angle C = x (since 2h is beside B and C both)

40+x+x=180 (Angle sum property)

40+2x=180

2x=140

x=70

2h+70=180 (Angle in a straight line=180)

2h=110

h=55

Answer:

13

HOPE THIS HELPS YOU......