1.
Steve drew line segments ABCD, EFG, BF, and C
as shown in the diagram below. Scalene ABFC i
formed.

Which statement will allow Steve to prove
ABCD||EFG?

1) LCFG = LFCB
2) LABF = LBFC
3) ZEFB=LCFB
4) ZCBF = LGFC

The pair of triangles that can be proven congruent by the HL theorem is: C. 2 right triangles having a pair of congruent hypotenuses and a pair of congruent side.

The HL theorem is a triangle congruence theorem which states that two right triangles are congruent to each other, if the hypotenuse of one is congruent to the hypotenuse, and also if one leg of one right triangle is congruent to a corresponding leg in the other right triangle.

Thus, if two triangles are right triangles having a pair of congruent hypotenuses and another pair of congruent side, then they are congruent by the HL theorem.

In conclusion, the pair of triangles that can be proven congruent by the HL theorem is: C. 2 right triangles having a pair of congruent hypotenuses and a pair of congruent side.

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Answer:

y = 2x + 11

Step-by-step explanation:

To find the slope, use the equation (y2 - y1)/ (x2 - x1). You get (15 - 5)/(2 - (-3), or 2. Then, use the slope you just found in the equation y - y1 = slope (x - x1), or y - 15 = 2 (x - 2). Simplifying down you get y = 2x -4 + 15, or y = 2x + 11, which is your final answer.

Hope this helps! Let me know if you have any confusion!

Answer: IS A

Step-by-step explanation: Correct option is A)

Let the age of the son be x

∴ The age of his father =5x

Given that

(5x)

2

+(x)

2

=2106

25x

2

+x

2

=2106

x

2

=

26

2106

​

=81

∴x=9

∴ Age of son =9 years

Age of father =5x9=45 years

Answer:

C. y=-1/2+1

Step-by-step explanation:

y=mx+b

m=slope

b=y-intercept

m=-1/2

b=1

Hope this helps!

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The number of cups of water contained in 1 pound of potting soil will be 3 / 4. The correct option is A.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that each 14-pound of potting soil contains 3/6 cups of water. The number of the cups will be calculated by forming an expression below:-

Number of cups = (4 x 3/6)

Number of cups = 12/16  

Number of cups = 3/4 of a cup

Therefore, the number of cups of water contained in 1 pound of potting soil will be 3 / 4. The correct option is A.

The correct question is given below:-

Each 14-pound of potting soil contains 316 cups of water.

How many cups of water are contained in 1 pound of potting soil?

34 cups

1116 cups

112 cups

113 cups

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Answer:

-7²·5⁴

Step-by-step explanation:

there are two 7

and four 5

Felicia will practice for a total of 496 hours

Felicia will practice for 112 hours on Monday

She will practice for 134 hours on Tuesday

She will practice for 2 hours on Wednesday

Total number of hours spent in week 1= 112 + 134 + 2

= 248 hours

She did the same routine the following week

= 248 × 2

= 496

Hence Felicia will practice for a total of 496 hours for the 6 days

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Answer:

1.93233498E244

Step-by-step explanation:

Answer:

3.14159265

Step-by-step explanation:

Answer:

$39.30

Step-by-step explanation:

First find out 70% which is $91.70

And then do 131-91.70=39.30

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The range of the function f(x) = |x|+3 is [3,∞)

Given,

The function f(x) =|x|+3

Consider

f(0)=|0|+3= 3

f(1)=|1|+3= 4

f(2)=|2|+3= 5

We know

|x|≥0

So even if we take negative value for x, the |x| will be positive

So,

f(-1)=|-1|+3=1+3=4

f(-2)=|-2|+3= 2+3=5

We know, range is the set of all possible outcomes.

The range of the function f(x)= |x|+3 = [3,∞)

Hence, the range of the function f(x) = |x|+3 is [3,∞).

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Answer:

 {y | 3 ≤ y < ∞}

Step-by-step explanation:

Answer:

63

Step-by-step explanation:

Angle ABD equals 89. That is the whole figure. Angle EBD equals 26. So 89 minus 26 equals 63. So Angle ABC equals 63 degrees.

Answer:

Step-by-step explanation:

For a continuous distribution, the uniform distribution describes equal probability over a specific range. It is crucial as a reference distribution because of this. The creation of random numbers is one of the uniform distribution's most significant uses.

A particular probability distribution is called a binomial distribution. It is used to simulate the likelihood of getting one of two results out of a certain number of trials (N) of a discrete random event.

The expected outcome is referred to as a success in a binomial distribution, whereas any other event is referred to as a failure. A successful outcome has a probability of p, while a failure has a chance of 1 - p.

In n draws without replacement from a finite population of size N that contains exactly K objects with that feature, the hypergeometric distribution, a discrete probability distribution, describes the likelihood of k successes (random draws for which the drawn object has a specified feature), where each draw is either successful or unsuccessful. The binomial distribution, on the other hand, describes the likelihood of k successes in n draws with replacement.

The normal distribution sometimes referred to as the Gaussian distribution, is a probability distribution that is symmetric about the mean and demonstrates that data that are closer to the mean are more likely to occur than data that are farther from the mean. The normal distribution is depicted graphically as a "bell curve."

The correct option is (b) binomial probability distribution.

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Answer:

-33

Step-by-step explanation:

distribute;

6x + 15 = 6x - 18

subtract;

-15

simplify;

- 33

subtract from both sides;

-6

total;

-33

Answer:Answer is 0=-33

Step-by-step explanation:What you need to do is bring x by itself on one side and the other numbers on the other side The steps are

6x+15=6x-18

6x-6x=-18-15

0=-33

Answer:

-1/4 or -0.25

Step-by-step explanation:

use completing the square

hope this is right :)

Answer:

It's C/ Option 3

Step-by-step explanation:

trust me

The equation for the lines whose graph is depicted below is y = x/2.

In order to write the equations for these straight lines, we would have to determine the slope of the straight lines.

Mathematically, the slope of any straight line can be calculated by using this formula;

[tex]Slope, m = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope, m = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}[/tex]

From the graph (see attachment), we have the following data:

Points on x-axis = (0, 2).

Points on y-axis = (0, 1).

Substituting the given points into the formula, we have;

Slope, m = (1 - 0)/2 - 0)

Slope, m = 1/2.

Mathematically, the standard form of the equation of a straight line is given by;

y - y₁ = m(x - x₁)

At point (2, 1), we have:

y - 1 = 1/2(x - 2)

y - 1 = x/2 - 1

y = x/2 - 1 + 1

y = x/2.

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Answer:

Option C -   y=10x + 5

Step-by-step explanation:

All the options are in the y =mx+c form.

The gradient is 10 and the y-intercept is 5

so our answer it option c

Answer:

C. y = 10x + 5

Step-by-step explanation:

[tex]y = mx + c \\ \\ m = \frac{y2 - y1}{x2 - x1 \\ } \\ m = \frac{25 - 5}{ 2 - 0} \\ m = \frac{20}{2} \\ m = 10 \\ y = 10x + c \\ y = 10x + 5[/tex]

c = the y-intercept

Answer:

orange

Step-by-step explanation:

when you fried chicken nuggets it will turn to orange

Answer:

I'm not sure if i'm doing this right, but I got 75

Step-by-step explanation:

(5-2)5*5^1 =  75

The computation shows that the degree of freedom for the numerator is 2 while it's 67 for the denominator.

It should be noted that degree of freedom is calculated as:

= k - 1

where k = variable in a data

k = 3.

Degree of freedom = 3 - 1 = 2

The degree of freedom for numerator is 2.

The degree of freedom for denominator is:

n - k

= 70 - 3

= 67

The degree of freedom for denominator is 67.

Note that the complete question is attached.

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Answer:

B

Ab + bc =ac

3x-4 + 4x+2 =26

7x=28

x=4

Answer:

x = [tex]\frac{qy}{t}[/tex]

Step-by-step explanation:

[tex]\frac{tx}{q}[/tex] = y ( multiply both sides by q to clear the fraction )

tx = qy ( isolate x by dividing both sides by t )

x = [tex]\frac{qy}{t}[/tex]

The direct variation equation is in the form d = kt, where k is some constant. It's the constant of proportionality. In this case k = 2.

Using the perpendicularity concept, the perpendicular line is given at the end of the answer.

Two lines are perpendicular, they intersect at and angle of 90º. Hence, for this problem, to construct a line through P that is perpendicular to the line, we just need to draw a line crossing P at an angle of 90º.

Thus, the perpendicular line is plotted at the end of the answer, with a line inserted crossing P at an angle of 90º.

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The correct graph for the compound inequality is the third graph.

Graph of Inequality

From the question, we are to determine the correct graph to the given compound inequality

The given compound inequality is

-3 < x ≤ 4

This means

-3 < x and x ≤ 4

That is,

x > -3 and x ≤ 4

The graph of x > -3 will start at -3 on the number line without shading the circle and it will point in the right direction

The graph of x ≤ 4 will start at 4 on the number line, with the circle shaded, and it will point towards the left

Joining the two graphs, we will get a number line starting at -3, unshaded, and ending at 4 shaded.

Hence, the correct graph for the compound inequality is the third graph.

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