What is the difference between the values of the underlined digits in the following numbers:

ex . 12.352 - 2 in the ones place is 1000x bigger than the 2 in the thousandths place

1568.156 ( both of the 5s are underlined)
03.3000 ( both of the 3s are underlined)
5164.66 ( both of the 6s are underlined
9.09 ( the 9s r underlined)

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.

The relation between the two angles ∠a and ∠b is that they are complementary angles. The correct option is B.

The angles when added give the sum of 90 degrees and are called complementary angles. The angle is defined as the span between two intersecting lines or surfaces at or close to the point where they meet.

In the given figure it is observed that the two angles ∠a and ∠b when added give 90 degrees.

Therefore, the relation between the two angles ∠a and ∠b is that they are complementary angles. The correct option is B.

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The appropriate options to fit in the circle regarding the proof will be:

From the information given, it should be noted that the circle centered at point C passes through points D and E and the circles passing through point F, centered at points D and E, have radii of length DF.

Here, it should be noted that the side-side-side congruence is illustrated for 2, 5, and 6. This illustrates that the will have the same lengths for their sides as they're equal.

Therefore, the correct options are illustrated above.

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Answer:

tough one

Step-by-step explanation:

sorry goodluck

Answer:

45 degrees

Step-by-step explanation:

OK so

is L and N are equal you can represent that as 2x

the remaining angle should be 90 because right triangles always have a 90 degrees angle somewhere

you know that all three angles of a triangle add up to 180 so that's what the total is

2x+90=180

subtract 90 from both sides

2x=90

divide both sides by 2

x=45

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: #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

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

Answer:

2(8x - 5) = 2(6x + 3)

Step-by-step explanation:

2(8x - 5) = 2(6x + 3)

16x - 10 = 12x + 6

16x - 12x = 6 + 10

4x = 16

x = 16 / 4

x = 4

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:

It will affect the mean and median in a decreasing matter

Step-by-step explanation:

toodles ;)

Answer:

decreasing matter

Step-by-step explanation:

Answer:

[tex]w=\frac{420}{p}[/tex]

Step-by-step explanation:

So generally a direct proportion can be expressed as:

[tex]k=\frac{y}{x}[/tex]

essentially where the y/x is equal to some constant value.

Whenever you have an inverse proportion, you can generally express it as:

[tex]k=xy[/tex]

where the product of x and y is equal to some constant value.

So we can check for inverse proportion, by seeing if the xy product is constant

1 * 420 = 420

2 * 210 = 420

3 * 140 = 420

Since the xy (or technically wp, or in general the product of the independent variable and dependent variable) product is constant, this relationship can generally be expressed as: [tex]wp=420[/tex]

We can divide both sides by p, so we can isolate the dependent variable (p)

[tex]w=\frac{420}{p}[/tex]

The equivalent expression for [tex][(1.3)^{3} /{(1.2)^{2}}^{4} ]^{-6}[/tex]is [tex][(1.2)^{2}] ^{24}/(1.3)^{18}[/tex].

Given an expression [tex][(1.3)^{3} /{(1.2)^{2}}^{4} ]^{-6}[/tex].

We are required to find the equivalent expression of the given expression.

Expression is combination of numbers, fraction,symbols, coefficients, determinants, indeterminants or algebraic operations.  It shows some relationship also. It is found without equal to form.

Expression is [tex][(1.3)^{3} /{(1.2)^{2}}^{4} ]^{-6}[/tex]

It is in fraction as we know that fraction is combination of two numbers one is numerator and denominator.

First we need to multiply the powers present in numerator and denominator.

=[tex](1.3)^{-18} /[{(1.2)^{2}}^{-24} ][/tex]

We have to invert the numerator and denominator because the powers in negative.

=[tex][(1.2)^{2}]^{24} /(1.3)^{18}[/tex]

Hence the equivalent expression for [tex][(1.3)^{3} /{(1.2)^{2}}^{4} ]^{-6}[/tex]is [tex][(1.2)^{2}] ^{24}/(1.3)^{18}[/tex].

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Answer:

[tex]x=\frac{1}{r} +1[/tex]

Step-by-step explanation:

[tex]r=\frac{1}{x-1}[/tex]
[tex]r(x-1)=1[/tex]
[tex]x-1=\frac{1}{r}[/tex]
[tex]x=\frac{1}{r} +1[/tex]

Answer:

[tex]x=\dfrac{1+r}{r}[/tex]

Step-by-step explanation:

Given equation:

[tex]r=\dfrac{1}{(x-1)}[/tex]

Multiply both sides by (x - 1):

[tex]\implies r(x-1)=\dfrac{1}{(x-1)} \cdot (x-1)[/tex]

[tex]\implies r(x-1)=1[/tex]

Expand the brackets:

[tex]\implies rx-r=1[/tex]

Add r to both sides:

[tex]\implies rx-r+r=1+r[/tex]

[tex]\implies rx=1+r[/tex]

Divide both sides by r:

[tex]\implies \dfrac{rx}{r}=\dfrac{1+r}{r}[/tex]

[tex]\implies x=\dfrac{1+r}{r}[/tex]

Answer:

[tex]20000.2600[/tex]

here's the verified answer

Step-by-step explanation:

please mark me brainliest

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:

184m^2

Step-by-step explanation:

Ok first we will look at the triangles.

The formula for triangles is 1/2bh

The base in our triangle is 6, and the height is 4. Also, we have 2 such triangles.

so, we need to plug in our values into our formula, and multiply it by 2, since there are 2 triangles.

2( 1 / 2 ( 6 ) ( 4 ) )

2 ( 12 )

24.

The area of the 2 triangles is 24.

Now, the next part is gonna be hard to explain, but I promise the final answer is right.

lets find the area of the rectangle in the middle. That's easy, 6*10 = 60.

Because the top rectangle would connect to the 5m side of the triangle, then the area of the rectangle would be 10*5 = 50

The same thing applies to the bottom rectangle, so its also 50.

24+50+50+60 = 184

The unit is meters(m)

So, 184 m^2

The surface area of the prism based on the net provided will be 184 square meters.

Let h be the height and b be the base of the triangle.

Let L₁, L₂, and L₃ be the length and W be the width of the rectangle.

Then the surface area of the triangular prism will be

Surface area = 2 Area of triangle + 3 Area of rectangle

Surface area = h x b + (L₁ + L₂ + L₃) x W

From the figure, the length of the rectangles will be 5 m, 6 m, and 5m,  and the width is 10 m.

From the figure, the height is 4 m and the base is 6 m of the triangle. Then we have

Surface area = 4 x 6 + (6 + 5 + 5) x 10

Surface area = 24 + 16 x 10

Surface area = 24 + 160

Surface area = 184 square m

The surface area of the prism based on the net provided will be 184 square meters.

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Answer:50 point

nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn

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

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:

a. The resulting product cannot be greater than-10. (False)

b. The resulting product must be greater than 0.      (True)

c. The resulting product cannot be less than 10.       (True)

Step-by-step explanation:

Explaining Statement (a):

The integer that is given is -10,

Let it will b multiplied with another negative integers let say (-1). Starting with the smallest one in order to clarify all statement.

So, if the resultant product is represented by x, So:

                                             x = (-10)(-1)

             Using the sign Multiplication rule which is {(-)*(-)} = +

                                            x = 10

We have: ∠APC + ∠BPC = 180⁰ (adjacent corner)

=> ∠APC + 133⁰ = 180⁰

=> ∠APC = 180⁰ - 133⁰ = 47⁰

Beside: x = ∠BPD = ∠APC = 47⁰ (opposite corner)

ANSWER: x = 47⁰

Ok done. Thank to me :3

The value of the angle x will be equal to 47⁰.

The angle is defined as the span between two intersecting lines or surfaces at or close to the point where they meet.

It is given that ∠APC + ∠BPC = 180⁰ (adjacent corner)

The angle x will be calculated as below:-

=> ∠APC + 133⁰ = 180⁰

=> ∠APC = 180⁰ - 133⁰ = 47⁰

Beside: x = ∠BPD = ∠APC = 47⁰ (opposite corner)

Therefore, the value of the angle x will be equal to 47⁰.

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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:

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

Answer:

  D.  1200 gallons

Step-by-step explanation:

Fractions of the total are given, as is the quantity the difference of those fractions represents. These can be used to write an equation to find the total.

Let g represent the total number of gallons of fuel sold. Then the number of gallons of 87-octane sold is 0.50g, and the number of gallons of 89-octane sold is 0.35g. The difference is said to be 180 gallons:

  0.50g -0.35g = 180

Collecting terms gives ...

  0.15g = 180

Dividing by the coefficient of g, we find ...

  g = 180/0.15 = 1200

The gas station sold 1200 gallons of fuel last weekend.

__

Additional comment

That's 600 gallons of 87-octane; 420 gallons of 89-octane; 120 gallons of 92-octane; and 60 gallons of 99-octane.

Answer:

96 Cherries

Step-by-step explanation:

This is a question on some unit conversions.

First we convert 3 pounds to ounces.

Given 16 ounces = 1 pound,

3 pounds = 3 x 16 ounces = 48 ounces

Next, we will find the number of cherries required.

Number of Cherries required = Total weight of cherries needed (in ounces) / Weight per cherry.

= [tex]\frac{48}{0.5}[/tex]

= 48 * 2

= 96 cherries

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! :)