Where to put the black point to show all the angles that are congruent to angle A

We can apply a translation (aka shifting) to angle 4 to slide it down until it matches up perfectly with angle 8. This is one way to see how the two angles are identical copies of each other.

Once we know that [tex]\angle 4 \cong \angle 8[/tex], we can then show that angles 5 and 8 are congruent by rotating angle 8 exactly 180 degrees around so that it lands perfectly on angle 5. By the transitive property we can say

[tex]\text{ If } \angle 4 \cong \angle 8 \text{ and } \angle 8 \cong \angle 5, \text{ then } \angle 4 \cong \angle 5[/tex]

Another way is to reflect angle 4 over the transversal, and then slide it down so it matches up with angle 5. This bypasses the need for angle 8.

All of this is valid because of the parallel lines. If the lines weren't parallel, then angles 4 and 8 wouldn't be congruent (nor would angles 4 and 5). However, angles 5 and 8 are congruent since vertical angles are always congruent.

There is likely an association between the categorical variables because the relative frequencies are not similar in value.  

Frequency describes the number of waves that pass a fixed place in a given amount of time.

A conditional relative frequency table is generated by a column from a set of data. The conditional relative frequencies of the two categorical variables are then compared.

If the relative frequencies being compared are 0.21 and 0.79, which conclusion is most likely supported by the data.

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Answer:

There is likely an association between the categorical variables because the relative frequencies are not similar in value.  

Step-by-step explanation:

Answer:

[tex]\Longrightarrow: \text{The slope is 0.}[/tex]

Step-by-step explanation:

The slope formula is used to determine the slope of the line.

Slope formula:

[tex]\Longrightarrow:\sf{\dfrac{Y_2-Y_1}{X_2-X_1} }[/tex]

y2=8

y1=4

x2=(-4)

x1=(-4)

Rewrite the problem down.

[tex]\sf{\dfrac{8-4}{-4-(-4)}=\dfrac{4}{0}=\boxed{\sf{0} }[/tex]

I hope this helps! Let me know if you have any questions.

Undefined

[tex]\sf \bold{ slope \ formula : \ \dfrac{y_2-y_1}{x_2-x_1} }[/tex]

insert the following coordinates

[tex]\hookrightarrow \sf \dfrac{8-4}{-4-(-4)}[/tex]

[tex]\hookrightarrow \sf \dfrac{4}{-4+4}[/tex]

[tex]\hookrightarrow \sf \dfrac{4}{0}[/tex]

Hence, following the rule [ (a/0) is undefined ]      The slope is undefined.

Answer:

a diverge

b512000

c1000(2^30-1)

d

Step-by-step explanation:

t10=ar^9

=1000*2^9

s30=a(r^n-1)/r-1

=1000(2^30-1)/2-1

The geometric series given as 1000, 500, 250, 125,... is seen to be; Convergent.

A series is said to be divergent if it doesn't converge at any finite point. However, a series is said to be convergent if it converges at a finite point.

In this question, we see the series progressively reducing by one quarter of the previous number. Thus, it means that the sequence will converge close to zero and as such we can say taht the sequence is convergent.

Formula for sum of geometric series is;

Sₙ = a(1 - rⁿ)/(1 - r)

Thus;

S₁₀ = 1000(1 - 0.5¹⁰)/(1 - 0.5)

S₁₀ = 1998.05

Sum of first 30 terms is;

S₃₀ = 1000(1 - 0.5³⁰)/(1 - 0.5)

S₃₀ = 2000

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The measurement unit used for the water in the swimming pool is 2.3×10⁴ gallons.

Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimeter is equal to 10 mm,

Though the real measurement is still the same the units and numerical values have been changed.

As it is given, the pool's volume or the amount of water in the pool is equal to 2.3×10⁴ units.

We know that an average swimming pool has a volume of water that is in gallons, therefore, the unit of water that will be filled in the swimming pool will be equal to 2.3×10⁴ gallons.

Hence, the measurement unit used for the water in the swimming pool is 2.3×10⁴ gallons.

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Answer:  1/4

Step-by-step explanation: The coin is fair, the probabilities of getting a head and a tail are equal to 12 . The probability of getting an even number on a die is 36=12 because among 6 results there are 3 even numbers

Answer:

602.88

Step-by-step explanation:

Formula for area is r²

4² is 16

16*3.14 = 50.24

50.24 × 12 = 602.88

Brainliest please?  

Answer:

To find how much peanut butter is in this jar, we use the formula for the volume of a cylinder.

(formula for vol. of cylinder)

V = π[tex]r^{2}[/tex]h

Where 'π' represents pi(22/7 or 3.14), 'r' represents the radius which is being squared, and lastly 'h' stands for the height.

We are given the dimensions of:

This is all the information we need to fulfill the equation to this formula(volume of cylinder).

Plug in what you know:-

V = π[tex]r^{2}[/tex]h

(For 'pi' I'll be using 3.14 instead of 22/7)

V = 3.14(4^2) · 12 ← (The symbol ' ^ ' means to the power of.)

V = 3.14(16) · 12

V = 50.24 · 12

V = 602.88, 602.88 centimetres is the volume for this jar.

Answer:1200/d

Step-by-step explanation:

Answer:

12 ten inch pieces

Step-by-step explanation:

you do 120 divided by 10 to get an answer of 12

hope this helped =)

Using the arrangements formula, it is found that there is a 0.0286 = 2.86% probability that all the girls are ahead of all the boys.

The number of possible arrangements of n elements is the factorial of n, that is:

[tex]A_n = n![/tex].

The total number of outcomes is the arrangement of 7 elements, hence:

T = 7! = 5040.

The desired number of outcomes is all girls(3!), then all boys(4!), hence:

D = 3! x 4! = 6 x 24 = 144.

Hence, the probability is:

p = D/T = 144/5040 = 0.0286.

There is a 0.0286 = 2.86% probability that all the girls are ahead of all the boys.

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Answer:

25.2minute

Step-by-step explanation:

75ft^2=45 minutes

1 ft^2=45/75

and, 7ft*6ft=42ft^2

42ft^2=45*42/75

=25.2minutes

Hope you like the solution. I am not sure of the answer. Mark me as brainlist.

Answer:

1.5 cups

Step-by-step explanation:

5 - 3.5 = 1.5

Answer:

B

Step-by-step explanation:

you need to distribute the 2

this leads to (2*5)- (2*3x)

=10-6x !

Answer:

The length of A is 2. The height of A is 1.5. The Length of B is 5. The height of B is 15. The length of C is 6. The height of C is 6.

Step-by-step explanation:

Dimensions of A

Length: 4 multiplied by 1/2 is 2

Height: 3 multiplied by 1/2 is 1.5

Dimensions of B

Length: 2 multiplied by 2.5 is 5

Height: 6 multiplied by 2.5 is 15

Dimensions of C

Length: 2 multiplied by 3 is 6

Height: 2 multiplied by 3 is 6

Final answers are bolded

Answer:

1. Set A

2.  [tex]\textsf{Apply\:Difference\:of\:Two\:Squares\:Formula:\:}\left(a+b\right)\left(a-b\right)=a^2-b^2[/tex]

3.

[tex](x+7)(x-7)[/tex]

[tex]\implies a=x\:\textsf{and}\:b=7[/tex]

[tex]\implies x^2-7^2=x^2-49[/tex]

[tex](x-9)(x+9)=(x+9)(x-9)[/tex]

[tex]\implies a=x\:\textsf{and}\:b=9[/tex]

[tex]\implies x^2-9^2=x^2-81[/tex]

[tex](4x-3)(4x+3)=(4x+3)(4x-3)[/tex]

[tex]\implies a=4x\:\textsf{and}\:b=3[/tex]

[tex]\implies (4x)^2-3^2=16x^2-9[/tex]

4.

[tex](2x+5)(2x-5)[/tex]

[tex]\implies a=2x\:\textsf{and}\:b=5[/tex]

[tex]\implies (2x)^2-5^2=4x^2-25[/tex]

5. [tex](x-6)(x-6)[/tex]

Cannot use Difference of Two Squares Formula to expand this expression.  To expand this expression, you would need to use the FOIL method: [tex]\left(a+b\right)\left(c+d\right)=ac+ad+bc+bd[/tex]

[tex]\implies (x-6)(x-6)=x^2-6x-6x+(-6)^2=x^2-12x+36[/tex]

Answer:

1.Set A

2.Aplyyanses of shortcut based

[tex] \beta \sin( \sec( \cos(e \alpha \% log_{14 |kkjja| }(?) ) ) ) bcaue \: f \: thd \: \: aakdx[/tex]

Step-by-step explanation:

thire9

Answer:

5120

Step-by-step explanation:

The sequence here is multiplying the previous value by 4. Following this sequence, we get the fourth value is 320, the fifth is 1280, and the sixth is 5120

Answer:

Step-by-step explanation:

Answer:

180⁰

Step-by-step explanation:

Since the angle of straight line is 180⁰

Answer:

A and B = 180 degrees

Step-by-step explanation:

this is because a circle is 360 and a line wich would be cutting the line in half is 180. so the two andles must add up to 180 degrees.

Step-by-step explanation:

Given :-

To find :-

Solution :-

Volume of Cylinder = πr²h

3.14 × 2² × 6.5 cubic inches

Volume = 81.64 cubic inches

Answer:

81.64

Step-by-step explanation:

Volume

Given

Solving

Answer:

y = 66

Step-by-step explanation:

"11 is a quotient of a numer y and 6" can be re-written as:
y/6 = 11

To solve, multiply both sides by 6.

y = 66.

Answer:

A

Step-by-step explanation:

First divide S by 4pi. Then take the square root to solve for r.

Answer:

[tex]y=-3[/tex] as any point on this line has a y-coordinate of -3

Answer:

Card 7: 59.66 Card 8: 25.12

Step-by-step explanation:

Volume = 1÷3 area of base × height

Answer:

168 in³

Step-by-step explanation:

Volume of a rectangular pyramid

[tex]V=\dfrac13lwh[/tex]

where:

Given:

[tex]\implies \textsf{volume}=\dfrac13\cdot 8 \cdot 7 \cdot 9=168\: \sf in^3[/tex]

Answer:

There is a picture below of the number line with the numbers, plotted.

Step-by-step explanation:

For the 2 3/8, you would simply go to 2 and count 3 to the right becuase there are 8 points for each whole number to the next. It's pretty hard to explain sorry. For 1 3/4, you would make the denominator 8, so multiply it by 2. When we do this, we multiply both the numerator and denominator. What is done to one must be done to the other. 3*2 to get 6. 4*2 to get 8. So, 3/4 becomes 6/8. Now, we can go to 1, and count 6 points to the right to get to 1 3/4.

Answer:

107% if you want to be sure check

Answer:

14.9%

When finding the unknown percentage, divide. For this case, separate 7 and 47 from the fraction and convert 7 to 7,000

[tex]0.47~/~7,000\\~~~~~~=14,893\\[/tex]

In percentage, 14,893 rounds to 14,900, which can be interpreted as 14.9%