In a survey of a community, 60% of people liked summer season, 70% liked winter season and 15% liked none of the seasons.

a. Illustrate the given information in a venn diagram.

b. Find the percentage of the people liked both the seasons.

c. If 180 people liked summer season only, how many liked winter season only? ​

Please answer me
and pls don't answer anything wrong for getting points only .
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Answer:

awnser B and fbe is 55

Step-by-step explanation:

the entire picture is 180 so cut in half there for 90 ok abfe is 90 so bigger section is always 55 and smaller is 35 ok

If the measure of ∠ABD is 6.2 times greater than the measure of ∠CBD=25° and if ∠ FBE and ∠ EBD are congruent then ∠ FBE =65°.

Given that the measure of ∠ ABD is 6.2 times greater than the measure of ∠ CBD and ∠ FBE and ∠ EBD are congruent.

We are required to find the measure of ∠ CBD and ∠ FBE.

∠ABD=6.2*∠CBD--------1

∠ABD+∠CBD=180°

6.2 ∠CBD+∠CBD=180  (From equation 1)

7.2 ∠CBD=180

∠CBD=180/7.2

∠CBD=25°

∠ABD=6.2*25

=155°

∠ABD=90+∠EBD

155=90+∠EBD

∠EBD=155-90

∠EBD=65°

Because ∠ FBE and ∠ EBD are congruent, ∠ FBE =65°.

Hence if the measure of ∠ABD is 6.2 times greater than the measure of ∠CBD=25° and if ∠ FBE and ∠ EBD are congruent then ∠ FBE =65°.

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[tex]\begin{array}{ccll} \stackrel{cups}{sugar}&cookies\\ \cline{1-2} \frac{3}{4}&24\\[1em] x&18 \end{array}\implies \cfrac{ ~~ \frac{3}{4} ~~ }{x}~~ = ~~\cfrac{24}{18}\implies \cfrac{ ~~ \frac{3}{4} ~~ }{\frac{x}{1}}~~ = ~~\cfrac{4}{3}\implies \cfrac{3}{4}\cdot \cfrac{1}{x}=\cfrac{4}{3} \\\\\\ \cfrac{3}{4x}=\cfrac{4}{3}\implies 9=16x\implies \cfrac{9}{16}=x[/tex]

now, the fraction is not an improper one, thus we can't quite put it in a mixed format, unless you count 0 as its whole, then I guess we can say is [tex]0\frac{9}{16}=x[/tex]

Answer:

9/16

Step-by-step explanation:

24/6=4

18/6=3

(3/4)x(3/4)=9/16

Answer:

 64

Explanation:

Sequence: -27, -8, -1, 0, 1, 8, 27,...

Identify the type of sequence. Looking at the sequence, it appears it is a cubic sequence with a formula: x³

Shown truth:

Next number in this sequence:

Answer: 0.5 < x < 16.5.

Step-by-step explanation: Two sides of triangle: 8.0 units and 8.5 units

Measure of third side = x

According to the triangle's inequality,

Sum of any two sides > third side.    (i)

Difference between the sides < third side.    (ii)

If x is the third side, then

x < 8+8.5   [Using (i)]

i.e. x< 16.5  

Also, x > 8.5-8   [Using (ii)]

i.e. x> 0.5

Hence, Range of possible sizes for side x would be 0.5 < x < 16.5.

The range of possible sizes for side x is,

⇒ 0.5 < x < 16.5

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

Two sides of the triangle are 8.5 and 8.

Now, The range of possible sizes for side x is,

⇒ x < 8.5 + 8

⇒ x < 16.5

⇒ x > 8.5 - 8

⇒ x > 0.5

Thus, The range of possible sizes for side x is,

⇒ 0.5 < x < 16.5

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Answer:

To rewrite 1 as 10 to power, you'd write 10^0 (ten to the power of zero).

Any non-zero number with the power of zero equals one. You might be wondering why, so to prove this theorem...

2^1

-----

2^1

Since the numbers are the same on the numerator and denominator, we can agree that the fraction above is equal to 1, yes? It is also equal to...

2^1-1

...because of the quotient rule. And what does 1-1 equal? 0. So you'd get

2^0

This is known as the "zero-exponent rule!"

Hope this helped.

Step-by-step explanation:

Answer:

101 squared not rational

-25 squared is rational

pi or any number times pi is not rational

Step-by-step explanation:

Answer:

11. When 3 students are working, they each need to plant 36 trees. So the club must plant 36*3 = 108 trees total. The equation would be t = 108/s, and the constant of proportionality is 108.

12. The constant of proportionality represents the number of trees the club needs to plant regardless of the number of participants.

olution

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Let the one's digit be y and tens digit be x,

Number = 10x + y

Then,x=3y⋯(i)

Reversed number = 10y + x

A.t.Q :- (10x+y)−(10y+x)=36 Put x = 3y in eq. (i)

⇒9x−9y=36

⇒x−y=4⋯(ii)

⇒3y−y=4

∴2y=4  x=3y  ∴x=6

y=2

∴ Number = 62

Answer: 4

Step-by-step explanation: 3%12=4

Answer:

-22.5

Step-by-step explanation:

-15- |-7.5|

after taking the absolute value off, -7.5 would become positive 7.5. But then the negative outside the absolute value makes it negative again.

-15-7.5

=-22.5

The simplified expression -15 - |-7.5| is equal to -22.5.

To simplify the expression -15 - |-7.5|, we'll follow these steps:

Evaluate the absolute value: |-7.5|.

The absolute value of a number is its distance from zero on the number line. In this case, |-7.5| is equal to 7.5 because 7.5 units away from zero.

Substitute the absolute value into the expression:

-15 - 7.5.

Perform the subtraction:

-15 - 7.5 = -22.5.

Therefore, the simplified expression -15 - |-7.5| is equal to -22.5.

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Answer:

[tex]9 \frac{5}{8} [/tex]

Step-by-step explanation:

[tex]1. \: lcd = 24 \\ 2. \: \frac{2 \times 8}{3 \times 8} + 9 \times \frac{24}{24} - \frac{1}{24} \\ 3. \: \frac{16}{24} + \frac{216}{24} - \frac{1}{24} \\ 4. \: \frac{16 + 216 - 1}{24} \\ 5. \: \frac{231}{24} \\ 6. \: \frac{77}{8} \\ 7. \: 9 \frac{5}{8} [/tex]

Answer:

Step-by-step explanation:

This expression involves the distributive property. In the distributive property, there is a number followed by an equation in parenthesis.

3(n+6)

To simplify it, you have to multiply the first number by each number in the parenthesis, separately:

3(n+6)

3n + 3(6) or 3xn + 3x6 (same thing)

3n+18

Finally, we can check the other 4 choices to double check.

A. 3n+6 (wrong)

B. 2(n+6) + (n+6)=

2xn + 2x6 + n + 6

2n + 12 + n + 6

combine like terms, or all the terms that are the same. start with the Ns, then the numbers:

2n+n + 12+6

3n+18

C. 2(n+6)+n= 2n+2(6) +n = 2n+12+n= 2n+n+12= 3n+12

D.3n+18

E. 2n+2+n+4= 2n+n+2+4= 3n+6

Answer= B and D

hope this helps :))

Answer: 3n+18 bcz of the distributive property

Step-by-step explanation:

b & d

Answer: 29 centimeters long

Step-by-step explanation: What you want to do in this kind of situation is to combine all like terms. After, you would get 6x + 24 = 150. What you would do here is to get 6x by itself by subtracting 24 on both sides. Now 6x = 126, to isolate the variable you divide 6 on both sides to get x = 21. However, the questions is asking for the longest side and you know that x + 8 will be the greatest out of all. So, x = 21 + 8 equals 29 centimeters. I hope this helps, please give me a brainlest! :)

Answer: x = 60°

Step-by-step explanation:

    We know a circle is equal to 360°, so we can subtract from 360° to find x using vertical angles and other given details.

     Vertical (opposite) angles are equal to each other. This is why, for example, we know AGE and FGC are both 30°.

    See attached for a breakdown of the angles.

360° - 30° - 30° - 90° - 90° = 2x

120° = 2x

60° = x

Answer:

x = 60°

Step-by-step explanation:

Hello!

The sum of angles on a line is 180°.

Given that Angle G is 90°, the other measure on Line DB would also be 90°. The missing angle next to x can be called y.

The Angle y can be calculated by using the Vertical Angles Theorem. The theorem states that if two non-adjacent angles are formed by the intersection of two lines, the measures of the angles are congruent.

This means that the measure of Angle y is 30°, as the 30° angle and y are non-adjacent and are formed by the intersection of lines AC and EF.

We can now solve for x by plugging in 30° for y in the equation.

The value of x is 60°.

1) [tex]\overline{UT}[/tex]

2) [tex]\overline{UT} \cong \overline{UT}[/tex]

3) [tex]\overline{BT} \cong \overline{EU}[/tex]

4) [tex]\overline{BU} \cong \overline{ET}[/tex]

5) [tex]\triangle UBT \cong \triangle TEU[/tex] by SSS

6) CPCTC

Answers:

- DH is correct because a line is connecting the two points D and H as shown in the image, forming a line segment.

- ED is correct because a line is connecting the two points D and E, forming another line segment, as shown in the drawing.

- EH is incorrect because in the drawing shown, there is no line connecting the two points E and H, so there would be no line segment formed between these two points.

- CD is correct because there is another line connecting the two points C and D, forming another line segment in the drawing.

Therefore, lines DH, ED, and CD are all line segments.

Polynomials are mathematical expressions made up of many terms.

To simplify a polynomial as much as possible, you must group all the like terms and rearrange them from higher to lower power.

The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of any constant term is 0. The derivative of axⁿ it's naxⁿ⁻¹.

Multiply 3 x 3.

Subtract 1 from 3.

Multiply 2 by −12.

Subtract 1 from 2 and subtract 1 from 1.

For any term t, t¹ = t.

For any term t except 0, t⁰=1.

Answer: The solution of the polynomial 3x³ - 12x² - 2x-8 is 9x² - 24x - 2.

Answer:

C

Step-by-step explanation:

windows arent that big compared to 2 cities, distance between the and moon, or a height of a mountain. so i think C is the only reasonable answer

Answer:

Q1: C

Q2: F

Q3: C

Step-by-step explanation:

Question 7:

100(3+0.2)^2 -24

According to

P arenthesis

E xponents

M ultiplication

D ivision

A ddition

S ubtraction

We must do the parenthesis first.

100 ( 3 . 2 ) ^ 2 - 24 =

Then exponent

100 * 10 . 24 - 24 =

then multiplication

1024 - 24 =

and finally subtraction

1000 (Option C)

________________________________________________________

Question 8:

Sqrt 50 = 7.07

Sqrt 60 = 7.75

7.07 + 7.75

14.81, which is between 14 and 15, answer choice F

________________________________________________________

Question 9:

A = 13

B = 13

C = 25+36 = 7.81

D = 13

Answer is C, which is the only one which is between positive integers 7 and 8.

Answer:

7) C. 1000

8) F. 14 and 15

9) C. [tex]\sf \sqrt{5^2 + 6^2}[/tex]

Explanation:

7.

⇒ 100(3 + 0.2)² - 24

⇒ 100(3.2)² - 24

⇒ 100(10.24) - 24

⇒ 1024- 24

⇒ 1000

8.

⇒ √50 + √60

⇒ [tex]\sf \sqrt{2 \ \times \ 5^2} + \sqrt{2^2\:\times\: 15}[/tex]

⇒ [tex]\sf 5\sqrt{2 } + 2\sqrt{ 15}[/tex]

⇒ 7.071 + 7.745966

⇒ 14.817

So, it lies between 14 and 15.

9.

A, B, D when simplified gives 11 as an answer.

When simplify C,

[tex]\sf \sqrt{5^2 + 6^2}[/tex]

[tex]\sf \sqrt{25 + 36}[/tex]

[tex]\sf \sqrt{61}[/tex]

[tex]\sf 7.8102396[/tex]

This value lies between 7 and 8.

To write in expanded form is to simply mean writing each number into its place value.

Answer:

1. Ratio

2. Unit Rate

3. Scale Drawing

4. Similar Figures

5. US Customary System

6. Rate

7. Scale

Step-by-step explanation:

Most of them are just definitions

The size of ∠QTW in degrees is 72°. See the explanation below. This is based on the concept of opposite sides in a quadrilateral.

QSUWY which is a pentagon is regular that mean:

∠QYW = 108°

The quadrilateral QTWY is a cyclic one. This means that we can apply the rule that states that opposites sides must add up to 180°

Thus, ∠QTW =

180 - 108

= 72°

A closed quadrilateral has four sides, four vertices, and four angles. It is a form of polygon.

In order to create it, four non-collinear points are joined. Quadrilaterals always have a total internal angle of 360 degrees.

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Full Question:

See the attached image for missing details.

Answer: #1) 3. The semicircle has twice the area of the circle

#2) 3. 28.26 cm

Step-by-step explanation:

#1) The formula for area of circle is A=πr².

First, plugging in the radius for the circle, A=π(5)², we get an area of about 78.54 inches².

Plugging in the radius for the semicircle, A=π(10)², which is equal to 314.159.... However, since it is a SEMI-circle, we will divide this value by 2 to give us an area of about 157.08 inches².

Comparing the two areas, we see the semicircle has twice the area of the circle as 78.54 x 2 = 157.08.

#2) Again use the area of circle formula, A=πr². The radius is half the diameter, so half of 6cm=3cm, meaning r=3. plug it in.

A= π(3)²

A= 28.27 cm²

find data points or make up 5 new subjects first

linda 34 y/o, 50 states

bob 65, 47 states

sarah 12, 14 states

terry 23, 28 states

cindy 46, 41 states

plot these points along with the others then draw a line from (0,0) to the top of the x y plane passing through as many point as possible

create a table of values for this information afterward

The table completing the proof is:

Statements                      Reasons

Draw segments UT       Construction.

[tex]\overline {UT}[/tex] ≅ [tex]\overline {UT}[/tex]                      This is reflexive property.

[tex]\overline{BT}[/tex] ≅ [tex]\overline {EU}[/tex]                                Given

[tex]\overline {BU}[/tex] ≅ [tex]\overline {ET}[/tex]                              Given

ΔUBT ≅ ΔUET                 SAS congruency

∠B ≅ ∠E                               Proof

We have,

From the figure,

Step 1:

Draw segments UT.

Construction.

Step 2:

UT ≅ UT

This is reflexive property.

Step 3:

BT ≅ EU

Given

Step 4:

BU ≅ ET

Given

Step 5:

ΔUBT ≅ ΔUET

This is due to SAS.

Side-Angle-Side (SAS) Congruence.

The two sides and the included angle of one triangle are equal to the corresponding two sides and included angle of another triangle.

Step 6:

∠B ≅ ∠E

Thus,

Statements                      Reasons

Draw segments UT       Construction.

[tex]\overline {UT}[/tex] ≅ [tex]\overline {UT}[/tex]                      This is reflexive property.

[tex]\overline{BT}[/tex] ≅ [tex]\overline {EU}[/tex]                                Given

[tex]\overline {BU}[/tex] ≅ [tex]\overline {ET}[/tex]                              Given

ΔUBT ≅ ΔUET                 SAS congruency

∠B ≅ ∠E                               Proof

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