Help!!!

Given a room is 12 feet by 10 feet and we have a circular rug with a radius of 3 feet,
calculate the amount of floor left uncovered by the circular area rug in a rectangular
living room.

Answer:

m<F = 95°

Step-by-step explanation:

We'll begin by calculating the value of x. This can be obtained as follow:

m<C = 50

m<A = (10x – 5)

m<B = m<G = (2x + 15)

m<C + m<A + m<B = 180 (Sum of angles in a triangle)

50 + (10x – 5) + (2x + 15) = 180

50 + 10x – 5 + 2x + 15 = 180

50 – 5 + 15 + 10x + 2x = 180

60 + 12x = 180

Collect like terms

12x = 180 – 60

12x = 120

Divide both side by 12

x = 120 / 12

x = 10

Finally, we shall determine the value of m<F. This can be obtained as follow:

m<F = m<A

But

m<A = 10x – 5

x = 10

Therefore,

m<F = 10x – 5

m<F = 10(10) – 5

m<F = 100 – 5

m<F = 95°

Answer:

The relationship between the above two triangles is SAS and they are congruent

Answer:yes it is

hsyhsyxhsyxhsyhxysxys

Answer:

24/40 = 12/20 = 6/10 = 3/5 ...

so no 24/40 does not = 4/5

Step-by-step explanation:

Step-by-step explanation:

11. shape 1 => A = ½×17×10=85m²

shape 2=> A = 17×9 =153 m²

total area = 238 m²

12. shape 1 => A = 7×3= 21 m²

shape 2=> A = 3×2 = 6 m²

total area = 27 m²

Find x so that m || n. Show your work.

Since m || n, 4x – 23 = 2x + 17 by the Converse of alternate exterior angles theorem.

Solve for x.

[tex]\sf{4x-23=2x+17}[/tex]

[tex]\sf{4x-2x-23=2x-2x+17}[/tex]

[tex]\sf{2x-23=17}[/tex]

[tex]\sf{2x-23+23=17+23}[/tex]

[tex]\sf{2x=40}[/tex]

[tex]\sf{\frac{2x}{2}={\frac{40}{2}}}[/tex]

[tex]\sf{x={\color{magenta}{20}}}[/tex]

#Hope it helps!

(ノ^_^)ノ

Answer:

Step-by-step explanation:

a)

The mean for ground floor is 20.67

The mean for balcony is 15.8

b)

the difference between the means is ground floor - balcony

20.67 - 15.8 = 4.87

You can talk about it yourself for part c

x^2 + 13x + 22 = 0

( x + 11 )( x + 2 ) = 0

x = - 11 Or x = - 2

Using the percentage concept, the amount that is closest to the percentage of students in the population who are licensed drivers is given by:

B. 24%.

The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:

[tex]P = \frac{a}{b} \times 100\%[/tex]

Higher sample sizes lead to more accurate estimates, hence the percentage is given by:

[tex]P = \frac{24}{100} \times 100\% = 24\%[/tex]

Which means that option B is correct.

More can be learned about percentages at https://brainly.com/question/10491646

#SPJ1

Answer:

The amount of money one may spend in a month may be greater than that of ones monthly payment especially when the payment is at a lower rate.

Answer:

B or graph 2

Step-by-step explanation:

when y = 0 then x = 6

when x = 0 then y = -3

find those points

Answer: b

question

hich is the graph of the linear equation x – 2y = 6?

On a coordinate plane, a line goes through points (negative 6, 0) and (0, 3).

On a coordinate plane, a line goes through points (0, negative 3) and (6, 0).

On a coordinate plane, a line goes through points (negative 6, 0) and (0, negative 3).

On a coordinate plane, a line goes through points (0, 3) and (6, 0).

Step-by-step explanation:

9/11=0.81818181....

the digits that repeat is 81

Answer:

.81 repeating

Step-by-step explanation:

9/11 = 0.81 repeating.

9514 1404 393

Answer:

  C is one half the area of a rectangle with sides 6 units * 2 units

Step-by-step explanation:

The area of any triangle is half the area of a rectangle of the same height and width. Here, the triangle has a width of 6 units and a height of 2 units. Its area is ...

  one half the area of a rectangle with sides 6 units by 2 units

Answer:

[tex]2x^2y\sqrt[3]{7xy^2}[/tex]

Step-by-step explanation:

Given

[tex]\sqrt[3]{56x^7y^5}[/tex]

Required

Solve

Expand

[tex]\sqrt[3]{8*7*x^6*x*y^3*y^2}[/tex]

Rewrite as:

[tex]\sqrt[3]{8*x^6*y^3*7*x*y^2}[/tex]

Split

[tex]\sqrt[3]{8*x^6*y^3} *\sqrt[3]{7*x*y^2}[/tex]

Express 8 as 2^3

[tex]\sqrt[3]{2^3*x^6*y^3} *\sqrt[3]{7*x*y^2}[/tex]

Apply law of indices

[tex]2^{(3/3)}*x^{(6/3)}*y^{(3/3)} *\sqrt[3]{7*x*y^2}[/tex]

[tex]2*x^2*y *\sqrt[3]{7*x*y^2}[/tex]

[tex]2x^2y *\sqrt[3]{7xy^2}[/tex]

[tex]2x^2y\sqrt[3]{7xy^2}[/tex]

Translate: y - 46 > -184

Possible answer: y > - 138

Solution:

y - 46 > -184

= y > - 184 + 46

= y > - 138

#CarryOnLearning

The Possible answer of the given statement could be as y > - 138.

If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true.

Such values are called solution to that equation or inequality.

A Set of such values is called solution set to the considered equation or inequality.

Given information;  46 less than y is at least -184

To Translate: y - 46 > -184

WE can solve it as;

y - 46 > -184

y > - 184 + 46

y > - 138

Therefore, The Possible answer of the given statement could be as y > - 138.

Learn more about inequalities here:

https://brainly.com/question/27425770

#SPJ5

Answer:

Larger angle= 73, smaller angle= 17

Step-by-step explanation:

I wrote an equation, and x is the measure of one of the angles

90=2x-56

90+56=2x-56+56

146=2x

73=x

One of the angles is 73, so subtract 53 from 73 to find the second angle. 73+56=17

You can make sure it adds up to a complementary angle by seeing if 17+73=90

Answer:

a)

b. Joel

c. Juan

d. Linda

b)

b. Joel

c)

a. Jan

f.Susan

d)

a. Jan: 140

b. Joel: 156

c. Juan: 196

d. Linda: 191

e. Robert: 183

f. Susan: 110

Step-by-step explanation:

Z-score:

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean, positive z-scores are above the mean, negative are below the mean and 0 is the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Question a:

Robert, Juan and Linda had positive z-scores, so they scored above the mean, and the correct options are c,d,e.

(b) Which of these students scored on the mean?

Joel, which had a z-score of 0, so the correct option is b.

(c) Which of these students scored below the mean?

Jan and Susan had negative z-scores, so them, options a and f.

Question d:

We have that [tex]\mu = 156, \sigma = 24[/tex], so we have to find X for each student.

Jan:

Z = -0.65. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-0.65 = \frac{X - 156}{24}[/tex]

[tex]X - 156 = -0.65*24[/tex]

[tex]X = 140[/tex]

b. Joel

Z = 0, so:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]0 = \frac{X - 156}{24}[/tex]

[tex]X - 156 = 0*24[/tex]

[tex]X = 156[/tex]

c. Juan

Z = 1.66, so:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]1.66 = \frac{X - 156}{24}[/tex]

[tex]X - 156 = 1.66*24[/tex]

[tex]X = 196[/tex]

d. Linda

Z = 1.46. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]1.46 = \frac{X - 156}{24}[/tex]

[tex]X - 156 = 1.46*24[/tex]

[tex]X = 191[/tex]

e. Robert

Z = 1.11. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]1.11 = \frac{X - 156}{24}[/tex]

[tex]X - 156 = 1.11*24[/tex]

[tex]X = 183[/tex]

f. Susan

Z = -1.9. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-1.9 = \frac{X - 156}{24}[/tex]

[tex]X - 156 = -1.9*24[/tex]

[tex]X = 110[/tex]

[tex]\longrightarrow{\green{ \: n = 30 }}[/tex] 

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex] \frac{n}{3} - 5 = 5[/tex]

➼ [tex] \: \frac{n}{3} = 5 + 5[/tex]

➼ [tex] \: \frac{n}{3} = 10[/tex]

➼ [tex] \: n = 10 \times 3[/tex]

➼ [tex] \: n = 30[/tex]

Therefore, the value of n is 30.

[tex]\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}[/tex]

[tex] \frac{30}{3} - 5 = 5[/tex]

✒ [tex] \: 10 - 5 = 5[/tex]

✒ [tex] \: 5 = 5[/tex]

✒ [tex] \: L.H.S.=R. H. S[/tex]

Hence verified.

[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]

Answer: u is the dependent variable

g is the independent variable

Step-by-step explanation:

Based on the relationship, represented by the equation u = 748g, where g is the total number of gallons of water used and u is the number of units, then :

An independent variable serves as the  variable that one can manipulate then  control,  an experimental so one can actually record the effects.

Independent variable on the other hand serves as the cause which have an independent values compare to others.

Learn more about variable at:https://brainly.com/question/3764906

#SPJ9

Answer:

18 GIRLS

Step-by-step explanation:

1. Lets write a fraction (4 boys/12 girls)

[tex]\frac{4 \\boys}{12 \\ \\girls}[/tex]

2. Now lets plug the value in

[tex]\frac{6 \\boys}{x girls}[/tex]

3. In the original equation, the amount of girls is 3 times the amount of boys

4. multiply 6 and 3 = 18

5. 18 girls

Answer:

18 <3

Step-by-step explanation:

Answer:

Incomplete question, but I gave you a guide on the uniform distribution, and thus you just have to replace the values in these equations to find the desired probabilities.

Step-by-step explanation:

Uniform probability distribution:

An uniform distribution has two bounds, a and b.

The probability of finding a value of at lower than x is:

[tex]P(X < x) = \frac{a - x}{b - a}[/tex]

The probability of finding a value between c and d is:

[tex]P(c \leq X \leq d) = \frac{d - c}{b - a}[/tex]

The probability of finding a value above x is:

[tex]P(X > x) = \frac{b - x}{b - a}[/tex]

Between a and b minutes.

Here you get a and b for the uniform distribution.

Find the probability that a randomly selected passenger has a waiting time minutes.

Here you will have the value of x.

9514 1404 393

Answer:

  x = 5

Step-by-step explanation:

The two triangles are similar by the ASA theorem. The ratio of long side to short side in each right triangle is the same:

  x/3 = 7.5/4.5

  x = 3(7.5/4.5) . . . . multiply by 3

  x = 5

Given:

The coordinates of point P are (-5,4).

Point P is reflected over the x-axis.

To find:

The new coordinates after the reflection.

Solution:

If a point is reflected across the x-axis, then the rule of reflection is:

[tex](x,y)\to (x,-y)[/tex]

Using this rule, we get

[tex]P(-5,4)\to P'(-5,-4)[/tex]

The new coordinates of point P after the reflection over the x-axis are (-5,-4).

Therefore, the correct option is B.

Answer:

20°C

Step-by-step explanation:

64-32 =32

32 ×5 =160

160/9 = 17.8

17.8 rounded to the nearest tenth is 20°C.

9514 1404 393

Answer:

  (b)  Angle V is the smallest angle

Step-by-step explanation:

The smallest angle is opposite the shortest side. Its vertex name will be the that of the vertex not involved in naming the shortest side.

The shortest side name is TU. The smallest angle is not T or U; it is V.

  Angle V is the smallest angle

Answer:

(b)  Angle V is the smallest angle

Step-by-step explanation:

Answer: 135 minutes or 2 hours and 15 minutes  

Step-by-step explanation:

4/18 = 30/ x

Solve for duh 'x'

Answer:

Step-by-step explanation:

For independent events,

P(AB)=P(A)orP(B)

= P(A)uP(B)

=P(A)×P(B)

= 0.55×0.72

P(AB)=0.396

Answer:

122 km/h

138 km/h

Step-by-step explanation:

distance = speed * time

One bus travels 16 km/h slower than the other

(s * 2)  + (s - 16)2 = 520

2s + 2s - 32 = 520

4s = 552

s = 552/4

s = 138 km/h

s - 16 = 122 km/h

Answer:

-5 is the answer

Step-by-step explanation:

Answer:

-5 corresponds to the coldest temperature here.

Step-by-step explanation:

-5 is to the left of -1 on a number line and is therefore smaller than -1.

Answer:

False

Step-by-step explanation:

If you see closely, Angle 3 is slightly smaller than Angle 6''

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K