Which of the following can be directly measured using a ruler?

A. Distance between the earth and the moon
B. Distance between two cities
C. Width of a window frame
D. Height of a mountain

Step-by-step explanation:

a + b = 18cm

a = 18 - b

a² + b² = 212cm²

(18-b)² + b² = 212

324 - 36b + b² + b² = 212

2b² - 36b + 112 = 0

b² - 18b + 56 = 0

b² - 4b - 14b + 56 = 0

b(b-4) -14(b - 4) = 0

(b-4) (b-14) = 0

b-4 = 0 OR. b-14 = 0

b = 4 cm b = 14 cm

so 4cm < 14cm

so , length of a side of the smaller square is 4cm .......

And , large square's = 14cm .....

Answer:

square one sides = 14, 14

square 2 sides = 4, 4

14 + 4 = 18

14 x 14 + 4 x 4 = 212

Step-by-step explanation:

14 x 14 + 4 x 4

this is the area of the 2 being added

the sides lengths are 14 and 4

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

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: 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°.

Answer:

x = 60°

Step-by-step explanation:

A straight angle is bascially a line with a point marked in it. That is 180°. Supplementary angles add up to 180°. Like the two right angles on the top part of the image are supplementary, as well as the two angles on the bottom part of the image.

120° + x = 180°

x = 60°

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: (A) Yes

Step-by-step explanation:

        Let us look at the side lengths. When we are talking about scale copies, the lengths should stay proportionate from the original shape to the copy.

        Both of the figures are triangles. I will be looking at the length of their legs. Figure A has leg lengths of 4 and 3. Figure B has leg lengths of 8 and 6, respectively.

        This means Figure B is a scale copy of Figure A because 8/4=2 and 6/3=2. These mean the proportions stayed similar.

Answer:

24 tons

Step-by-step explanation:

My senses point to this is the correct answer.

Answer:

See below

Step-by-step explanation:

5/8 - 1/4 = 3/8ths of L  = 9 tons ......    

3/8 L = 9

L  =  9 * 8/3

  = 24 tons full load

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.

The expression  3x²+x+5 is the sum of 3 terms and coefficients are 3 and 1 therefore, Neither Joanna nor Linne is correct.

An algebraic expression is consists of variables, numbers with various mathematical operations,

The given expression is,

3x²+x+5.

According to Joanna, the entire expression is the sum of 4 terms.

and according to Linne the coefficients are 3 and 0.

Since, The expression is the sum of 3 terms:

Square power of x, x and a constant 5.

Also, the coefficient of x² is 3 and coefficient of x is 1.

Therefore, the Joanna and Lienna both are wrong.

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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

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]

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

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

3) [tex]\overline{UR}[/tex]

4) [tex]\overline{PR}[/tex]

5) [tex]\triangle OUP \cong \triangle RUP[/tex] by SSS

6) CPCTC

Answer:

Medunno got the first pic, now i help with the second pic.

Step-by-step explanation:

Draw segment PU (don't forget the line above)

PU ≅  PU  reflexive property

UO≅ UR   given

PO≅ PR  given

△OUP ≅ △RUP   by SSS  congruence postulate

∠O ≅ ∠R  corresponding parts of congruent triangles are congruent.

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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Answer: 153

Step-by-step explanation:

The maximum number of dots that can be seen from one position is 153 dots.

Answer:

Step-by-step explanation:

101 squared not rational

-25 squared is rational

Answer:

Step-by-step explanation:

(1, 9) and (1, -9) lie on the same like cuz y indicate the right side of the coordinates and both the right side of these coordinates r 9, its different just cuz positive lies on top, and negative lies on bottom

same thing for (0,-8) and (1, 8)

please mark me brainliest if it helped

Answer:

$0.66 per cup

Step-by-step explanation:

There are 8 cups in 2 quarts, so 5.28/8 is $0.66 per cup.

Answer:

0.66

Step-by-step explanation:

8 cups are in 2 quarts so you going to count 8 cups untill you get 5.28 and then you see how many cents that it is so its 0.66

Answer:

Step-by-step explanation:

n(U)=100%

n(S)=70%

n(W)=15%

n(S union w compliment)=20%

n(s intersection W)=?

n(u)=n(s)+ n(w)+ n(s union w compliment)- n(s intersection w)

or 100%=70% +15%+ 20% - n( s intersection w)

or 100%= 95%- n(s intersection w)

or 100%-95%=n(s intersection w)

or 5%= n( s intersection w)

now;

n(only w)=n(w)- n(s intersection w)

              =15%- 5%

               =10%

10%of people only like winter season.

i think the question is to find people who only like winter season.

if not then ans is 15% according to question.

a) The illustration of the given information in a Venn diagram is attached.

b) The percentage of people who liked both seasons is 45%.

c) If 180 people liked the summer season only, proportionately, the number of people who liked the winter season only is 300.

The Venn diagram, which shows similarities and contrasts, can be illustrated based on the given percentages.

Percentages are one of the ways to depict proportions, which are the equation of two ratios.

The percentage of survey people who liked the summer season = 60%

The percentage of survey people who liked the winter season = 70%

The percentage of survey people who liked none of the seasons = 15%

The percentage of participants who liked one of the seasons = 85% (100% - 15%)

The total percentage of survey people who liked either summer or winter = 130% (60% + 70%)

b) The percentage of survey people who liked both seasons = 45% (130% - 85%)

The percentage that liked only summer = 15% (60% - 45%)

The percentage that liked only winter = 25% (70% - 45%)

c) 180 people liked summer only

180 = 15%

Proportionately, if 180 = 15% of the people, the total number of people = 1,200 (180/15%)

The number of people who liked winter season only = 300 (1,200 x 25%)

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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 ratios of corresponding side lengths are not equal.

Therefore, Figure B is not a scale copy of Figure A.

Here, we have to determine if Figure B is a scale copy of Figure A, we need to compare the corresponding sides of the two triangles and check if the ratios of their side lengths are equal.

Figure A has side lengths: 3.6, 2, and 5.

Figure B has side lengths: 8.9, 4, and 11.3.

Let's check if the ratios of corresponding side lengths are equal:

Ratio of corresponding side lengths of A and B:

3.6 / 8.9 ≈ 0.4045

2 / 4 = 0.5

5 / 11.3 ≈ 0.4425

The ratios of corresponding side lengths are not equal.

Therefore, Figure B is not a scale copy of Figure A.

In order for two triangles to be scale copies of each other, all corresponding side lengths must have the same ratio.

Since the ratios of side lengths in Figure A and Figure B are not equal, they are not scale copies of each other.

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Answer:

d

Step-by-step explanation:

when cut you can see that the cutout will be a square

the base is a square and the cut is parallel to the base

therefore the cutout will be a square

Answer:

A

Step-by-step explanation:

Corresponding angles are angles that you can follow down the transversal and they will land in the same spot on the other parallel line.  Look at angle 8.  It is the bottom left angle in the group of 4 angles around it.  If you slide it to the left it would land right on top of angle 4 which is also in the bottom left of its group of 4 angles.

You can do the same thing taking angle 8 down to angle 12.

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:

pi is not rational

3 pi is not rational

Squareoot 101 is not rational

0.6 is rational

1

1/2 is rational

16.5 is rational

-square root 25 is rational

2 to the power of 4 is rational

-10 is rational

3/2 is rational

you’re welcome