Find the distance between the pair of points.
(-2,-18) and (-8,-22)

<HFG ≅ <JHI because they are corresponding angles, therefore: A. Cai used an invalid reason to justify the congruence of a pair of sides or angles.

When two parallel lines are crossed by a transversal, the angles that are formed in matching corners along the transversal are regarded as corresponding angles which are congruent to each other.

In the proof, HFG and JHI are corresponding angles that are forrmed. Therefore, they are equal based on the fact that corresponding angles are congruent.

Thus, Cai's first error in the proof was made in his 4th statement. <HFG ≅ <JHI because they are corresponding anglles, therefore: A. Cai used an invalid reason to justify the congruence of a pair of sides or angles.

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Answer:Answer is A

Step-by-step explanation:

just did it on khan academy

Answer:  a square root of a number x is a number y such that y² = x; in other words, a number y whose square is x. For example, 4 and −4 are square roots of 16, because 4² = ² = 16

The square of any number is always a positive number, so every number has two square roots, one of a positive value, and one of a negative value. For example, both 2 and -2 are square roots of 4.

Answer:

Every polynomial equation P(x) = 0 of any degree ≥ 1 with complex number coefficients has at least one complex number solution.

Step-by-step explanation:

Answer:

y intercept = (0,-2)

x intercept = (-2,0)

Step-by-step explanation:

For y intercept, plug 0 for x

y = (0) - 2

y = -2

y intercept = -2

For x intercept, plug 0 for y

(0) = -x - 2

Move -2 to other side

-x = 2

Since x is negitave, make 2 negitave

x = -2

x intercept = -2

Answer:

The answer is 875.

Step-by-step explanation:

Based on the given conditions, formulate: 2500x(1-15%-50%)

Calculate the sum or difference: 2500x(0.85-0.5)

Calculate the sum or difference: 2500xx0.35

Calculate the product or quotient: 875

get the result: 875

Answer: 875

Answer:

58km

Step-by-step explanation:

perimeter of rectangle= 2x(l+b)

2x(28+1)

2x29=58

Answer:

A 0.5 = 0.50

Step-by-step explanation:

The amount of green and red papers are actually equal because green paper is 0.50 and red is 0.5

These two are equal.

In a decimal it doesn't matter if you but 0 after the number, it matters when you but it before the number, because then the value will decrease

[tex]\huge\fcolorbox{blue}{red}{Answer}[/tex]

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[tex]\frac{ x }{ 3 } +6-2x=-6[/tex]

[tex]x+18-6x=-18 [/tex]

[tex]-5x+18=-18 [/tex]

[tex]-5x=-18-18 [/tex]

[tex]-5x=-36 [/tex]

[tex]x=\frac{-36}{-5} [/tex]

[tex]x=\frac{36}{5} [/tex]

[tex]= 7 \frac{1}{5}[/tex]

[tex]= 7.2[/tex]

So the answer is [tex]x = 7.2[/tex] or [tex]= 7.2[/tex]

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Step-by-step explanation:

#Carry on learning

Answer:

102 or the 12th number considering 38 is the 4th

The center of the data in the dot plot comes to be 3.

0 has 3 dots

1 has 2 dots

2 has 5 dots

3 has 4 dots

4 has 1 dot

5 has 6 dots.

Let us arrange these data in ascending order

0,0,0,1,1,2,2,2,2,2,3,3,3,3,4,5,5,5,5,5,5

Number of observations = 21

The Median is the middle number when observations are arranged in either ascending or descending order. Median is more informative than average.

So, the median will be the middle data = 11th data

11th data = 3 so median =3

Hence, the center of the data in the dot plot comes to be 3.

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[tex]25 - ({a + 7})^{2} = [/tex]

[tex](5 + (a + 7))(5 - (a + 7)) = [/tex]

[tex](a + 12)( - a - 2)[/tex]

Have a great day ♡

The mistake made by pearl from solving the quadratic equation is that he didn't equate the equation to zero(0) before solving

x² - 3x - 10 = 8

x² - 3x - 10 - 8 = 0

x² - 3x - 18 = 0

x² - 6x + 3x - 18 = 0

x (x - 6) + 3(x - 6) = 0

(x + 3) (x - 6) = 0

x + 3 = 0. x - 6 = 0

x = -3. x = 6

Learn more about quadratic equation:

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Answer:

Distribute the 2 to the z-3 and the 6 to the 4x+1

Step-by-step explanation:

I'm not sure why it says none of the choices are correct. According to the distributive property, which is followed in any similar algebraic equation. You distribute values first and then combine like terms and go on from there. Hope this helps.

Answer:

1,400

Step-by-step explanation:

700 divided by 6 equals 116.66 and 116.66 times 12 is 1,399.92. But you have to round the decimal to make it accurate which you'll get 1,400.

Hope this helps.

Answer:

1/5

Step-by-step explanation:

Answer:

Step-by-step explanation:

This is kinda confusing give me a second

1. Area of sector is 14.14 sq.m

2. Length of the missing side is 10 cm

Using formula:

Where,

Substituting the required values:

→ Area = 45°/360° × 22/7 × (6)²

→ Area = 0.125 × 22 × 36/7

→ Area = 2.75 × 36/7

→ Area = 99/7

→ Area = 14.14 sq.m

In given right angled traingle:

Using Pythagoras theorem,

where,

Substituting the required values:

→ (Hypotenuse)² = (8)² + (6)²

→ (Hypotenuse)² = 64 + 36

→ (Hypotenuse)² = 100

→ Hypotenuse = √100

→ Hypotenuse = 10 cm

Hence,

Answer:

  no

Step-by-step explanation:

We want to compare the pot holder hole dimension to the pot dimension. The hole diameter is the overall pot holder diameter less the wall thickness on either side:

  hole diameter = (20 1/5) -2(1 2/7) = 20 -2(1) +1/5 -(2)(2/7)

  = 18 +(1/5 -4/7) = 18 +(7 -20)/35 = 18 -13/35

  = 17 22/35 . . . . cm

We want to compare this to 17 4/5. We can do that by using a common denominator for the fractions.

  17 4/5 = 17 + (4/5)(7/7) = 17 28/35 . . . . cm

The pot has a diameter of 17 28/35 cm; the pot holder has a hole diameter of 17 22/35 cm, so the hole is smaller than the pot.

The pot will not fit into the plant pot holder.

_____

You can use your calculator to find the free space around the pot by computing ...

  20 1/5 -2(1 2/7) -17 4/5 = free space = -6/35 . . . . cm

Negative space means the pot is larger than the hole.

Answer:

[tex]\frac{4}{5}[/tex] (4/5)

just fill out 4 in the blank

Step-by-step explanation:

1. Equal the denominator for 1/4

End result=[tex]\frac{11}{20}[/tex]

So all the other ones have to be made according to this

20/4=5

1x5=5

[tex]\frac{1}{4}[/tex] will now be [tex]\frac{5}{20}[/tex]

2. Figure out what ?/5 will be

If this number is getting subtracted by [tex]\frac{5}{20}[/tex] then, we have to add [tex]\frac{11}{20}[/tex] by [tex]\frac{5}{20}[/tex] to get our answer.

[tex]\frac{11}{20} +\frac{5}{20} =\frac{16}{20}[/tex]

this means that when [tex]\frac{16}{20}[/tex] gets subtracted by [tex]\frac{5}{20}[/tex] it will equal [tex]\frac{11}{20}[/tex]

3. Simplify 16/20 to it's lowest terms

5x4=20

20/5=4

so, each part ([tex]\frac{1}{5}[/tex]) worth's 4

20-4=16

So that means, that the simplest for for this is [tex]\frac{4}{5}[/tex]

just fill out 4 in the blank

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Thanks!

:D

Answer:

4

Step-by-step explanation:

Let the blank = x

Thus,

[tex]\frac{x}{5}-\frac{1}{4}=\frac{11}{20}[/tex]

[tex]\mathrm{Add\:}\frac{1}{4}\mathrm{\:to\:both\:sides}[/tex]

[tex]\frac{x}{5}-\frac{1}{4}+\frac{1}{4}=\frac{11}{20}+\frac{1}{4}[/tex]

[tex]\mathrm{simplify}[/tex]

[tex]\frac{x}{5}=\frac{4}{5}[/tex]

[tex]\mathrm{Multiply\:both\:sides\:by\:}5[/tex]

[tex]\frac{5x}{5}=\frac{4\cdot \:5}{5}[/tex]

[tex]\mathrm{simplify}[/tex]

x = 4

Hence, the blank = 4

Equation = [tex]\frac{4}{5}-\frac{1}{5}=\frac{11}{20}[/tex]

[RevyBreeze]

Answer:

794 stamps in his collection

Step-by-step explanation:

If Amir started out with 397 stamps and doubles his collection, he would have 794.
Take the original amount and multiply it by 2

397(2) =794 stamps

Answer:794

Step-by-step explanation:

397x2=794  

Hey there!

Assuming #1 ….

x + 7x + x = 180°
REWORD

1x + 7x + 1x = 180°

COMBINE the LIKE TERMS

(1x + 7x + 1x) = 180°

8x + 1x = 180°

9x = 180°

DIVIDE 9 to BOTH SIDES

9x/9 = 180/9

CANCEL out: 9/9 because it equal 1

KEEP: 180/9 because it give you the x-value

NEW EQUATION: x = 180/9

SIMPLIFY IT!
x = 20
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Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

The sum of all the angles made at a point on a line where n lines meet, then the sum of (n+1) angles is 180°, as here, 2 lines meet at the center of the semicircle and so, 3 angles are here.So, by using this property we will be having the equation ;

[tex]{:\implies \quad \sf x^{\circ}+7x^{\circ}+x^{\circ}=180^{\circ}}[/tex]

[tex]{:\implies \quad \sf 9x^{\circ}=180^{\circ}}[/tex]

[tex]{:\implies \quad \sf x=\dfrac{180^{\circ}}{9}=\bf \boxed{20^{\circ}}}[/tex]

This is the required answer

[tex]\\ \rm\rightarrowtail y=x^2-10x+16[/tex]

[tex]\\ \rm\rightarrowtail y=x^2-10x+16+9-9[/tex]

[tex]\\ \rm\rightarrowtail y=x^2-10x+25-9[/tex]

[tex]\\ \rm\rightarrowtail y=(x-5)^2-9[/tex]

Vertex form

So

vertex:-

Answer:

No, I do not agree. This is because 10⁰ is equivalent to 1.

Step-by-step explanation:

any number to the power of 0 is equal to 1

Answer:

X is 2 2+2= 4 plus 4 = 8

Step-by-step explanation:

Hoped this helped

Answer:

x = 2

explanation:

2x + 4 = 8

subtract 4 from both sides

2x + 4 -4 = 8 -4

2x = 4

divide both sides by 2

2x/2 = 4/2

x = 2

Recheck:

2x + 4 = 8

2(2) + 4 = 8

8 = 8

Hence proved the solution is correct.

Answer:

So this is pretty much endless but here are a few examples:

3+3+3+3

4x+(-7y) + (-46)

-3% + (-8y) + (-4) + (-0.1111)

Step-by-step explanation:

Hope this helps have a great rest of your day