Triangles G H L and K H J are connected at point H. Angles Angles L G H and H K J are congruent. Sides G H and H K are congruent. Which congruency theorem can be used to prove that △GHL ≅ △KHJ?

Answer: 120 degrees

Step-by-step explanation:

Answer:

Hold the point (2,1) and drag it down until it is at the point (2, -1).

Explanation:

Given the graph of y=f(x).

If we have:

This is a Vertical Translation Down by 2 units.

This means we shift the graph of y=f(x) down by 2 units.

From the graph:

In y=f(x), we have a point (2,1).

Hold the point and drag it down until it is at the point (2, -1).

Recall that the graph of a function h(x), translated n units to the right is represented by the function

Therefore, y=f(x-2) represents the graph of f(x) translated 2 units to the right.

Answer:

Then the graph of y=f(x-2) may be obtained by a horizontal shift of the graph of f to the right a distance of 2 units.

The function h(x) is defined as:

We can find the value of the h(x) at different values of x by substituting the value of x into the function

When x = -2:

When x =-1:

When x =1:

T

The estimated quotient of the division is 83.

In mathematics, a quotient is a quantity created by the division of two integers (from the Latin quotients, meaning "how many times").

Now let us divide 4234 by 51.

4234 ÷ 51 = 83.019...

Therefore the quotient is 83

4234 divided by 51 gives quotient 83 and remainder 1 .

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Answer:

minimum distance between the boy and the wave is 1.2 m

Step-by-step explanation:

Use v = u + at, with v as 0, to find how long it takes for the wave to decelerate to 0 m/s.

0 = 11.6 - 1.6t

t = 7.25s

Then find how far the wave has traveled by substituting in s = ut + 1/2 at²

s = 11.6 * 7.25 + 1/2(-1.6)(7.25²)

s = 42.05m

Find out how far the he has traveled in the same time

s = vt + 30 (since he was 30m ahead)

s = 2*7.25 + 30

s = 44.5m

The boy has traveled a greater distance so the wave does not reach by the time it decelerates to 0m/s

Find the time at which the wave reaches a speed of 2m/s.

v = u + at

2 = 11.6 - 1.6t

t = 6s

Now find the distance traveled by the wave in that time

s = ut + 1/2 at²

s = (11.6*6) + 1/2(-1.6)(6²)

s = 40.8m

Now find the distance traveled by the boy in that same time

s = vt + 30

s = 2*6 + 30

s = 42m

Find the difference, which is the minimum separation

42 - 40.8 = 1.2m

Answer:

[tex]\large\boxed{\tt x = 23^{\circ}}[/tex]

Step-by-step explanation:

[tex]\textsf{We are given 2 \underline{Linear Pairs}. We are asked to form an equation, and to solve for x.}[/tex]

[tex]\large\underline{\textsf{What are Linear Pairs?}}[/tex]

[tex]\textsf{Linear Pairs are 2 Adjacent Angles that form a 180}^{\circ} \ \textsf{angle, or add up to 180}^{\circ}.[/tex]

[tex]\textsf{For our problem, these 2 angles given to us are Linear Pairs, which equal 180}^{\circ}[/tex]

[tex]\textsf{when added together. Let's create an equation to find x.}[/tex]

[tex]\large\boxed{\tt 180^{\circ}=93^{\circ} + (3x+18)^{\circ}}[/tex]

[tex]\textsf{Now, let's solve for x by using the \underline{Properties of Equality}.}[/tex]

[tex]\large\underline{\textsf{What are the Properties of Equality?}}[/tex]

[tex]\textsf{The Properties of Equality are Properties that allow us to manipulate equations.}[/tex]

[tex]\textsf{There are 9 properties of equality that we can use, each allowing us to simplify}[/tex]

[tex]\textsf{one side of an equation. These properties are mainly used to find missing variables.}[/tex]

[tex]\textsf{Let's solve for x by using the Properties of Equality.}[/tex]

[tex]\large\underline{\textsf{Solving for x;}}[/tex]

[tex]\tt 180^{\circ} = 93^{\circ} + 3x^{\circ}+18^{\circ}.[/tex]

[tex]\textsf{Let's first Combine Like Terms.}[/tex]

[tex]\tt 180^{\circ} = \boxed{\tt 93^{\circ}} + 3x^{\circ}+\boxed{\tt 18^{\circ}}[/tex]

[tex]\tt 180^{\circ} = 111^{\circ} + 3x^{\circ}[/tex]

[tex]\textsf{Now, let's use the Subtraction Property of Equality which states that if 2 same}[/tex]

[tex]\textsf{numbers are subtracted from both sides of the equation, then both expressions}[/tex]

[tex]\textsf{still equal each other. Let's subtract 111 from both sides of the equation.}[/tex]

[tex]\tt 180^{\circ} - 111^{\circ} = 111^{\circ} - 111^{\circ} + 3x^{\circ}[/tex]

[tex]\tt 69^{\circ} = 3x^{\circ}[/tex]

[tex]\textsf{Let's use the Division Property of Equality, which is similar to subtraction but it's}[/tex]

[tex]\textsf{for division. Divide each side of the equation by 3.}[/tex]

[tex]\tt \frac{69^{\circ}}{3} = \frac{3x^{\circ}}{3}[/tex]

[tex]\large\boxed{\tt x = 23^{\circ}}[/tex]

After solving basic fractions we have come to find that, we need 12.7 tiles to create a frieze above a Forrest.

When describing a portion or part of a whole in mathematics, a fraction is used. The equal components of the whole are represented by it. Both the numerator and denominator are components of a fraction.

Both the top and bottom numbers are referred to as the numerator and denominator, respectively. The denominator specifies the total number of equally sized pieces in the whole, whereas the numerator specifies the number of equal parts that were taken.

A fraction is something like 5/10.

The denominator in this case is 10, and the numerator is 5.

The measure of each tile = 2⅞

                                          = 23/8

Measure of doorway = 36½

                                   =  73/2

No. of tiles we need = 36½ /  2⅞

                                  = 12.7 tiles

Thus, we need 12.7 tiles to create a frieze above a Forrest.

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1) Fo

Adriana

Ben

Chandra

Diana

Ernesto

Answer:

g(x) = -|x+12|

Step-by-step explanation:

Answer:

84

- 0

92

- 88

44

- 44

= 0

Step-by-step explanation:

Answer:

11x+10

Step-by-step explanation:

Distribute the GCF:

3(x+2) = 3x+6

4(2x+1) = 8x+4

(3x+6)+(8x+4)

Add the expressions:

(3x+6)+(8x+4) = 11x+10

Hope that helps

Ok, so

We know that the car is travelling at a speed of 39miles/hour. The car's speed in miles per minute will be:

Now, we're asked to find how many miles the car will travel in 20 minutes. This is:

Answer:

-12

Step-by-step explanation:

explanation in the picture bruv

The empirical probability would be:

(number of males that tested positive)/(total number of black males tested)

1/425 (Based on the information given)

The answer is 1/425 or 0.00235(written as a decimal)

Answer:

Step-by-step explanation:

1. 7

2. 6

3. 6

answer 1=-7

2=8

3=4

4=15

5=12

For this case our reference triangle is ABC and we want to describe what we need to do in order to obtain the triangle DEF

And for this case we can use the coordinate of A and F as reference

A=(2,5)

B=(15,3)

And we can find the transformation on this way:

So we can move the triangle 13 units to the right and 2 units down respect to the A coordinate and we will get the result of the triangle DEF

Number of step = 52

Minute = 1 minute

The ratio of the number of steps to the number of minutes is

52 : 1

Finance charge = average daily balance * interest rate * time period

Given:

average daily balance of $268.42 ​

interest = 3% = 0.03

Time period = 1 month

so,

Finance charge = 268.42 * 0.03 * 1 = $8.0526

so, the answer is option B) $8.05

Answer:

0

There are no red slices, so the probability is 0.

let

x = length of time Connor will spend

The company will take 47 weeks to fill the warehouse to its maximum capacity based on the current production rate.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

We have,

Maximum capacity for the warehouse = 50,000 units

Pre-orders = 20,000 units

Number of units produced per week = 3000 units

Number of orders per week = 1500 units

The number of weeks to fill the warehouse to its maximum capacity:

We can make an equation as:

3000M - 1500M - 20,000 = 50,000 ____(1)

M = number of weeks

From (1) we get,

M ( 3000 - 1500 ) - 20,000 = 50,000 ____(2)

1500M - 20,000 = 50,000

1500M = 50,000 + 20,000

1500M = 70,000

M = 46.66 weeks

M = 47 weeks

We can also see that,

From (2),

M ( 3000 - 1500 ) - 20,000

47 x 1500 - 20,000

70,500 - 20,000

50,500

Thus,

The company will take 47 weeks to fill the warehouse to its maximum capacity based on the current production rate.

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A' = (-2, -1)

ABCD is dilated by a factor of 1/2

That is, scale factor = 1/2

From ABCD:

The coordinate of A = (-4, -2)

That is, x = -4

x' = 1/2 x -4

x = -2

y' = 1/2 x -2

y' = -1

A' = (-2, -1)

Given: A piecewise rectangular figure is given.

Required: To determine the area of the given figure.

Explanation: The area of the given figure can be determined by splitting the figure into two squares as shown below:

Now the figure is divided into a square with an edge of 3 cm and a rectangle of 8 cm by 5 cm.

And the area of the square is

And the area of a rectangle is the product of length by breadth.

Hence, the area of the figure is-

Final Answer: The area of the figure is 49 square centimeters.

EXPLANATION

The reule that represents the function is y=5cos(x) + 3

The true statement is g(-13)= 20.

In mathematics, a function is represented as a rule that produces a distinct result for each input x. Mapping or transformation is used to denote a function in math. Typically, these functions are identified by letters like f, g, and h. The collection of all the values that the function may input while it is defined is known as the domain. The entire set of values that the function's output can produce is referred to as the range. The set of values that could be a function's outputs is known as the co-domain.

Given:

domain = -20 ≤ x ≤ 5

and a range = -5 ≤ g(x) ≤ 45

and g(0) = -2 and g(-9) = 6

First, g(-13)= 20

x=-13 is in our domain  and 20 is also in our range .

So this is true for g(-13)= 20.

Now, g(-4) = -11

-11 does not comes under the range.

So this statement is not true.

Again,  g(0) = 2 is false because  g(0) = - 2.

and,  g(7) = -1 D

7 is not in our domain .

So g(7) is not possible

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Whenever we multiply a decimal number by 10, we are shifting the decimal point one digit to the right. For example, if we compute

the answer is

We moved the decimal point one digit to the right; therefore, we can say moving the decimal point to the right foot places in a number is the same as multiplying by 10.

Hence, the correct answer choice is 2

Given:

The coordinates of the Oceanfront, (x1, y1)=(3, -2).

The coordinates of the Seaside, (x2, y2)=(-2,4).

The distance between the points corresponding to Oceanfront and Seaside is,

It is given that one unit represents 5 miles.

So, the actual distance between Oceanfront and Seaside is,

Therefore, actual distance between Oceanfront and Seaside is about 40 miles.

Answer:

10.59480821 hours

Step-by-step explanation:

2. Now we know the percent for each surface

3. Now that we know the percent of each surface we need to find out how many km for each surface:

Uphill

Downhill

Flat

3. Now that we know all the percent and distance for each surface we need to know the km/h for each

Uphill = 24.25km/h

Downhill = x

Flat = 55.5km/h

4. Since we don't have the speed for downhill we need to know the difference between uphill and flat

5. Now we know the difference is 31.25 we can add that to the flat surface to get the downhill speed

6. Now we know all the speeds and now we can figure out how many hours it takes for each surface

( we are going to take the distance in 1 surface and then divide that by the km/h in that surface to ket how many hours)

Uphill

Downhill

Flat

7. Now we add all the hours up