10. A bag contains 4 red, 7 blue, 8 green, and 5 white marbles. What is the theoretical
probability that a randomly selected marble is green?
O
a 1
3
Ob.
2
c. 1
6

Answer:

35cm

98°

Step-by-step explanation:

4x+3=6x-13

4x+16=6x

16=2x

8= x

4x+3 = 8*4+3 = 35

9y+17=11y-1

9y+18=11y

18=2y

9=y

9y+17 = 9*9+17= 98°

Answer:

-$1.00

Step-by-step explanation:

Subtract amount of money you owe

17 + 8 = 25

24 - 25 = -1

Answer:

First, you have to set 5x equal to (3x+10). They are vertical angles and therefore congruent.

5x = 3x+10              The variable should only be on one side of the equation,

5x - 3x = 10             Therefore subtract 3x from both sides

2x = 10                     Divide by 2 on both sides.

x = 5

We're not done yet, since we've found the x-value we have to solve for ∠GEC.

∠GEC = 3x+10 = 3(5)+10 = 15+10 = 25°

∠GEC and ∠FEG form a right angle. This means that the sum of the two angles is 90°

90° = 25° + x            In this case, we're using "x" to solve for ∠FEG

90-25 = x                  We subtract 25 from both sides to get the variable by itself.

65° = x

∠FEG = 65°            The Answer is B

Step-by-step explanation:

Answer:

29 degrees

Step-by-step explanation:

alternate interior angles are equal

The measure of angle LMQ in the parallelogram LMNQ is 29 degrees

From the diagram, we have the following parameters

Also, from the diagram, angles MQN and LMQ are alternate interior angles

This means that, both angles are congruent

So, we have:

[tex]\angle LMQ = \angle MQN[/tex]

This gives

[tex]\angle LMQ = 29^o[/tex]

Hence, the measure of angle LMQ in the parallelogram LMNQ is 29 degrees

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Answer:

225

Step-by-step explanation:

450 ÷ 2 = 225

Answer:

225 rooms

Step-by-step explanation:

Find 1/2 or 50% of 450. 50% of 450 is 225. So 225 rooms are full, and 225 are empty.

Answer:

younger sibling = 29 years

older sibling = 35 years

Step-by-step explanation:

Let

x = younger sibling

y = older sibling

x + y = 64 (1)

The older sibling was born 6 years before their young sibling

x = y - 6 (2)

Substitute x = y - 6 into (1)

x + y = 64

y - 6 + y = 64

2y = 64 + 6

2y = 70

y = 70/2

y = 35 years

Substitute y = 35 into (2)

x = y - 6

x = 35 - 6

x = 29 years

Answer:

a) Side lengths

= GH = 5 units

HI = 6 units

GI = 7.81 units

b) Angle measures

Angle G = 39.81°

Angle H = 90°

Angle I = 50.2°

Step-by-step explanation:

The coordinates of the vertices of △GHI are G(−7,2), H(−2,2), and I(−2,8). Find the side lengths to the nearest hundredth and the angle measures to the nearest degree.

Step 1

We find the side lengths using the coordinates formula

= √(x2 - x1)² + (y2 - y1)²

When we are given vertices (x1, y1) and (x2 , y2)

Coordinates of the vertices of △GHI are G(−7,2), H(−2,2), and I(−2,8).

For side length

GH = G(−7,2), H(−2,2)

= √(-2 - (-7))² + (2 - 2)²

= √(-2 + 7)² + (0)²

= √5²

= √25

= 5 units

For side length HI

HI = H(−2,2), and I(−2,8)

= √(-2 -(-2))² + (8 - 2)²

= √(0)² + (6)²

= √36

= 6 units

For side length GI

G(−7,2), I(−2,8)

= √(-2 -(-7))² + (8 - 2)²

= √(5)² + (6)²

= √25 + 36

= √61

= 7.81 units

Step 2

Angle measures

We find this using Cosine rules

Angle a = arc cos (b² + c² - a²/2bc)

Hence:

Finding

Angle G = arc cos (6² + 7.81² - 5² / 2 × 6 × 7.81)

= 39.81°

Angle H = arc cos (5² + 6² - 7.81² / 2 × 5 × 6)

= 90°

Angle I = arc cos (5² + 7.81² - 5² / 2 × 5 × 7.81)

= 50.2°

Answer:

GH = 5, HI = 6, GI ≈ 7.81

m∠H = 90°, m∠G ≈ 50°, m∠I ≈ 40°

Step-by-step explanation:

Answer:

sum of angles in a triangle is 180

so 55+80+x=180

135+x=189

x=180-135

x=45

Answer:

abscissa

I know because intoke the test and it had the same answer in it

Answer:

A. is correct

Step-by-step explanation:

sqrt3*sqrt12 can be rewritten as √3·√12, which can be extended to

√3·√3·√4.

Note that √4 = 2 and that (√3)^2 = 3,

so the final result is 2*3, or 6 (a rational number).

A. is correct:  √3 and √12 are both irrational, but their product is rational.

Answer: Option B

Step-by-step explanation:

Answer:

Month since April                                   Number of Ants

          0                                                         10,000

           1                                                         30,000

          2                                                         90,000

          3                                                        270,000

          4                                                         810,000

Every month, the ant population triples so the multiply the previous population by 3 to find out the new population.

0 months from April = 10,000 * 1 = 10,000 ants

1 month from April = 10,000 * 3 = 30,000 ants

2 months from April = 30,000 * 3 = 90,000 ants

3 months from April = 90,000 * 3 = 270,000 ants

4 months from April = 270,000 * 3 = 810,000

Answer: The height of each fir tree is 9 meters, and the height of each pine tree is 12 meters.

Step-by-step explanation:

Let x= height of each fir tree, y = height of each pine tree.

As per given, we have

x+y = 21          (i)

4x=y+24        (ii)

From (ii),

[tex]4x-y=24[/tex]            (iii)

Add (i) and (iii), we get

[tex]5x=45\\\\\Rightarrow\ x=\dfrac{45}{5}\\\\\Rightarrow\ x=9[/tex]

Put value of x in (i), we get

[tex]9+y=21\Rightarrow y=12[/tex]

Hence, the height of each fir tree is 9 meters, and the height of each pine tree is 12 meters.

Answer:

Each fir tree is  9  meters tall and each pine tree is  12  meters tall.

Step-by-step explanation:

Look at attachment:

Hope this helps! :)

Answer:

40 degrees

Step-by-step explanation:

all angles add to 180* in a triangle

65+75=140

subtract from 180, you get 40 which is your answer

area of circle =  π r²

π r²= 49 π

r²= 49             r= √49                  r= 7

circumference of circle = 2 π r

                                       = 2×7 × π

                                       = 14 π

The circumference of a circle is 14π.

A circle is a two-dimensional figure with a radius and circumference of πr.

The area of a circle is πr².

We have,

Area of a circle = 49π in².

Area of a circle = πr²

Now,

πr² = 49π

r² = 49

r = 7

Now,

Circumference of a circle.

= 2πr

= 2π x 7

= 14π

Thus,

The circumference of a circle is 14π.

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Answer:

17.75

Step-by-step explanation:

43.5 divided by 2 is 21.75

21.75 minus 4 equals 17.75

You're basically just using reverse operations to get back to the original number.

Answer:

x/2

Step-by-step explanation:

$9436 EMI Keri has to pay for $500,000 loan at the rate of 5% for 5 years.

equated monthly instalment or EMI relates to payments made regularly to repay an outstanding loan within a certain time frame.

Given loan rate is 5% and time period is 5 years let total amount is $500,000. Formula for EMI Calculation is -

P x R x (1+R)^N / [(1+R)^N-1] where-

P = Principal loan amount.

N = Loan tenure in months.

R = Monthly interest rate.

R = Annual Rate of interest/12/100.

Putting these values in above equation

EMI = 500000 *5* *(1 + 5%)^60 / [(1 + 5%)^60]

EMI = 9436

Therefore, Keri must pay a $9436 EMI on her $500,000 loan over five years at a rate of 5%

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Answer:

The cost of screen for window = 864.

Step-by-step explanation:

We have,

Fir solving,

★Conversion from ft to inches:

We kow that,

Taking this in mind, convert the values

= Length = 3 ft

= Length = 3 × 12

= Length = 36 inchees

= Breadth = 2ft

= Breadth = 2 × 12

= Breadth = 24 inches

★Area of window:

We know that,

= Area of rectangle = Length × Breadth

= Area = 36 × 24

= Area = 864 inches²

As, area of window in square inches equal to cost of the screen.

Therfore, cost of screen would be 864.

Answer:

B rectangle

Step-by-step explanation:

If (6*1.33) - 8 equals anything, it's -0.02

If you want your answer to be 16, X must equal 4

Answer:

20 students per teacher, 12 students per tutors, and 8 tutors for 96 students

Step-by-step explanation:

100/5=20

36/3=12

96/12=8

Answer:

5x=25

Step-by-step explanation:

if you need the answer

5x5=25

5+5+5+5+5=25

Answer:

[tex]=144\pi cm^{2} =452.16cm^{2}[/tex]

Step-by-step explanation:

[tex]A=\pi r^{2} =\pi 12^{2} = 144\pi cm^{2}[/tex]