The perimeter of the following figure is 18.6 inches. What is the length of n?

Answer:

180

Step-by-step explanation:

spr is one line and qp is another in a perpendicular position

∠QPR has a measure of 61°

A linear pair of angles is formed when two lines intersect at a single point. Angles are referred to as linear if they follow the intersection of the two lines in a straight line. The sum of the angles in a pair of linear equations is always 180°. 

As per the given data:

From a horizontal line, a line is drawn such that it forms 2 angles, one ∠SPR = 119 degrees and one ∠QPR.

We have to find out the value of ∠QPR.

As the line is drawn from a horizontal line, it forms a linear pair.

From the linear pair property, the sum of the angles must be equal to 180 degrees as the line is horizontal.

After using the aforementioned property:

∠SPR + ∠QPR = 180°

119 + ∠QPR = 180

∠QPR = 180 - 119

∠QPR = 61°

Hence, The measure of angle ∠QPR is 61 degrees.

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(The given question is incomplete, the complete question is given below)

Answer:C

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

3 1/2 cups of orange juice

2 1/2 cups of lemonade

1 quart = 4 cups

4 cups of ginger ale

add them all together...

so there should be:

10 1-cup servings!

i hope this helped you!!

:)

Answer:

14

Step-by-step explanation:

Answer:

There are 36 cubes

Step-by-step explanation:

Answer:

18 cm or 36 cubes

Step-by-step explanation:

hxlxb

h=3

l=3

b=4

3x3x4

36

36 divided by 2 since each cube is half

18

Answer:

B. WR, WB, WG, RB, RG, BG

Step-by-step explanation:

It's only asking for how many color combos you can get, so you multiply 4 by 3, then divide by 2, to get the 6 different combinations.

Answer:

h1,h2,h3,h4,h5,h6,t1,t2,t3,t4,t5,t6

Step-by-step explanation:

h or t is the coin, the number is the die

Final answer:

The sample space for flipping a coin and rolling a number cube consists of 12 possible outcomes. The probability of event A occurring is 1/6. Events A and B are mutually exclusive as they cannot occur at the same time.

Explanation:

A coin is flipped and a number cube is rolled; the sample space for this experiment can be listed by combining each possible outcome of the coin flip with each possible outcome of the number cube roll. The coin can either be heads (H) or tails (T), and the number cube, which is a six-sided die, can land on any number from 1 to 6.

H1

H2

H3

H4

H5

H6

T1

T2

T3

T4

T5

T6

Therefore, the sample space consists of 12 possible outcomes.

For part b, event A is "either a three or a four is rolled first, followed by landing a head on the coin toss." The favorable outcomes for event A are H3 and H4. Since there are 12 possible outcomes, and 2 of them are favorable, the probability P(A) is 2/12, which simplifies to 1/6.

For part c, event B is "the first and second tosses land on heads," which is not possible since the first "toss" is actually a roll of a die. Therefore, events A and B are mutually exclusive, as they cannot occur simultaneously. The occurrence of event A does not involve a second toss of the coin and event B is not possible within the context of this experiment.

Answer:

21

Step-by-step explanation:

k=6   t=k *2=12    l=k/2 =3       6+12+3=21

Answer:

21

Step-by-step explanation:

To find out how much Tyrell ate, you multiply 6 times two (which is 12), then to find out how much Lucy ate, you have to divide 2 and 6 (Which is 3) . Now you add up how many they ate in all.. 6 (Katy) plus 12 (Tyrell) and that equals 18, then you add 3 (Lucy), which comes to a total of 21

Answer:

8 : 12 and 18 : 27

Step-by-step explanation:

5 : 10 and 10 : 15

Divide each by 5

1:2  and 2:3  The ratios are not the same

8 : 12 and 18 : 27

Divide the first by 4   and the second by 9

2:3  and 2:3  This is a proportion

9 : 15 and 24 : 30

Divide the first by 3 and the second by 6

3:5 and 4:5  The ratios are not the same

6 : 20 and 7 : 30

Divide the first by 2 and leave the second alone

2:10 and 7: 30  The ratios are not the same

Answer:

B. 8 : 12 and 18 : 27

Step-by-step explanation:

8 : 12

Reduces to

2 : 3

18 : 27

Reduces to

2 : 3

Same simplified ratio, hence proportional

Answer:

The venn diagram is not included in the question, but il try to answer it in a general way.

We have a sample of 25 persons.

7 of them like hiphop.

13 of them like pop

8 of them do not like neither.

So in our Venn diagarm we will have two circles, one for the students that like pop and other for the students that like hip-hop.

in the pop circle we have 13 students, in the circle of hiphop we have 7 students, and outside both circles we have 8 stundents.

Now, if we add it all we get:

13 + 7 + 8 = 28,

But we have 25 students, this means that 3 of the students like both genres, hip hop and pop.

Then the circles of hip hop and pop must have an intersection, and in the intersection we must have 3 students.

Answer: P(G) = 1/4

P(M) = 1/3

P(G and M) = 1/12

P(G or M) = 1/2

Step-by-step explanation:

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

Given:

Total Students Surveyed = 120

30 have a goldfish, 40 have a mouse, and 10 have a goldfish and a mouse.

First, the the probability that a student in the class has a goldfish

P(G) = 30/ 120

        = 1/4

second, the probability that a student in the class has a mouse

P(M) = 40/120

       =  1/3

Third, the probability that a student in the class has a goldfish and a mouse

P(G and M) = 1/4 x 1/3

                  =  1/12

Fourth  the probability that a student in the class has a goldfish or a mouse

P(G or M) = P(G)+ P(M) - P( G and M)

                = 1/3+ 1/4 - 1/12

                = 6/12

                = 1/2

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Answer:

42

Step-by-step explanation:

x = Ky

18 = K(3)

K = 18/3 = 6

x = 6y

x = 6(7) = 42

Answer:the answer is D

Step-by-step explanation:

$115,460.91

Her balloon payment at the end of 3 years is  $115,460.91. The correct option is D.

A balloon mortgage is one of the loan with low initial payments but the borrower is needed to repay the balance in a lump sump amount.

Given is the 3/27 balloon mortgage with an interest rate of 5.1% to purchase a house for $121,000.

The rate is fixed for a period of 3 years and later converts to a new fixed rate for the left 27 years.

using the formula for balloon payment.

FV = P*(1+r)n–P*[(1+r)n–1/r]

Substitute P = $121000, r = 5.1 and n=3 years, we get the balloon  payment is

FV = $115,460.91

Thus, her balloon payment at the end of 3 years is  $115,460.91. The correct option is D.

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Answer:

Table A represents a linear function. I know because the rate of change between the x and y values is always 1. If you look at the table diagonally, you can see that you can add one to all of your x values to get your y.

Step-by-step explanation:

Answer:

Step-by-step explanation:

when x=2,g(x)=1

from B when x=2

g(x)=1/4×2²=1

which is true .

so B

Answer:

A. 50% of 632

Step-by-step explanation:

The percentage refers to the whole garden (632) and the amount of this garden they will be able to use. If you need to find the exact number I suggest turning the percent into a fraction (50% is also 1/2) then multilying it by the total (632).

Answer:

317

Step-by-step explanation:

You can find the answer via the equation

632*50%

or

632/2

Answer:

These patterns recur in different contexts and can sometimes be modelled mathematically. Natural patterns include symmetries, trees, spirals, meanders, waves, foams, tessellations, cracks and stripes. Early Greek philosophers studied pattern, with Plato, Pythagoras and Empedocles attempting to explain order in nature.

Hope this Helps!

Sincerely; Victoria <3

Answer:

the length of the shadow is 45 feet long

Step-by-step explanation:

Answer:

Log₄2=0.5

Step-by-step explanation:

Answer:

[tex]log_{4}[/tex] 2 = 0.5

Step-by-step explanation:

Using the rule of logarithms

[tex]log_{b}[/tex] x = n ⇔ x = [tex]b^{n}[/tex]

Given

[tex]4^{0.5}[/tex] = 2 ← with x = 2, b= 4 and n = 0.5, then

[tex]log_{4}[/tex] 2 = 0.5

Step-by-step explanation:

When 2/5 is divided by 4 we get or we can do the reciprocal

Here we Get

2/5 * 1/4

= 1 / 10

Answer:

2/20 = 1/10

Step-by-step explanation:

Answer:

So you are trying to find 48% of 92, correct?

Step-by-step explanation:

Answer:

44.2

Step-by-step explanation:

Take 92 and multiply it by .48

Answer:

Given

m - 7 = 17

m = 17 +7

Therefore m = 24

Answer:

m=24

Step-by-step explanation:

Since m-7=17

We are to find the value of m

And this can be done by making m the subject of formula

So m-7=17

Add 7 to both sides

m=17+7

m=24

Therefore m is 24

Given:

m∠WYX = 20°

m∠XYZ = 135°

To find:

The measure of arc WXZ.

Solution:

m∠WYZ = m∠WYX + m∠XYZ

m∠WYZ = 20° + 135°

m∠WYZ = 155°

The measure of inscribed angle is half of the intercepted arc.

[tex]$\Rightarrow m \angle WYZ = \frac{1}{2} m (ar WXZ)[/tex]

[tex]$\Rightarrow 155^\circ = \frac{1}{2} m (ar WXZ)[/tex]

Multiply by 2 on both sides.

[tex]$\Rightarrow 2\times 155^\circ = 2 \times \frac{1}{2} m (ar WXZ)[/tex]

[tex]$\Rightarrow 310^\circ = m (ar WXZ)[/tex]

The measure of arc WXZ IS 310°.

Answer:

7.00

Step-by-step explanation:

discount = original price *20%

final price = original price - discount

Substituting the equation for discount

final price = original price - original price*20%

Factoring out the original price

final price = original price (1-20%)

Changing to decimal form and putting the final price

5.60 = original price (1-.2)

5.60 = original price (.8)

Divide by each side by .8

5.6/.8 = original price (.8)/.8

7 = original price

Answer:

23%

Step-by-step explanation:

Answer:

Step-by-step explanation:

36/24 or 3/2

Answer:

62.8 m

Step-by-step explanation:

The circumference of the clock is the circumference of a circle which is given by

2 Pi r

Where

Pi = 3.14

Radius r = 10m

Therefore

Circumference = 2 x 3.14 x 10

= 62.8 m

The circumference of the clock is approximately 62.8 meters.

To find the circumference of a circle, you can use the formula C = 2πr, where C is the circumference and r is the radius of the circle. In this case, the radius of the clock is given as 10m. Substituting this value into the formula, we have C = 2π(10) = 20π. The approximate value of π is 3.14, so the circumference of the clock is approximately 20(3.14) = 62.8m.

To find the circumference (C) of a round wall clock, you can use the formula C = 2πr, where π (pi) is approximately 3.14 and r is the radius of the clock. In this case, the radius is given as 10 meters. Substituting this value into the formula, the circumference is calculated as C = 2 * 3.14 * 10 meters, which equals 62.8 meters.

Therefore, the circumference of Mike's round wall clock is approximately 62.8 meters. This value represents the total distance around the edge or perimeter of the circular clock face.

SSS (Side-Side-Side) requires three pairs of equal sides to prove triangle congruence, while SAS (Side-Angle-Side) requires two pairs of equal sides and one pair of equal included angles.

In mathematics, specifically in geometry, SSS (Side-Side-Side) and SAS (Side-Angle-Side) are two methods used to determine if two triangles are congruent. Congruent triangles are triangles that have the same size and shape.

SSS (Side-Side-Side)

The SSS criterion states that if all three sides of one triangle are respectively equal in length to all three sides of another triangle, then the two triangles are congruent. You do not need to know any angle measurements.

SAS (Side-Angle-Side)

The SAS criterion states that if two sides and the included angle (the angle between the two sides) of one triangle are equal to two sides and the included angle of another triangle, then the two triangles are congruent.

To distinguish between the two, remember that for SSS you're comparing three sides, and for SAS you're comparing two sides and the angle that is between them.

Answer:

x = (164 - y)/5

y = 165 - 5x

Step-by-step explanation:

A whole rotation is 360° (All the angles together = 360°)

148 + 2x + 47 + y + 3x = 360

195 + 5x + y  = 360

165 = 5x + y

y = 165 - 5x

5x = 165 - y

x = (164 - y)/5