Step 1: We know that Angle A B C Is-congruent-to Angle F G H because all right angles are congruent. Step 2: We know that Angle B A C Is-congruent-to Angle G F H because corresponding angles of parallel lines are congruent. Step 3: We know that Line segment B C is-congruent-to line segment G H because it is given. Step 4: Triangle A B C Is-congruent-to Triangle F G H because of the

Answers

Answer 1

Triangles FGH and ABC are congruent because of the: AAS congruence theorem.

What is the AAS Congruence Theorem?

The AAS congruence theorem states that when two angles and one non-included side in one triangle are congruent to corresponding two angles and one non-included side in another triangle, then both triangles are congruent.

In the proof given, it is established that both triangles have two corresponding congruent angles, and also, BC ≅ GH which are non-included sides.

Therefore, both triangles are congruent because of the AAS congruence theorem.

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Step 1: We Know That Angle A B C Is-congruent-to Angle F G H Because All Right Angles Are Congruent.

Related Questions

What is the difference between -5 and 3?

Answers

Answer:

8

Step-by-step explanation:

3 - -5 = 8

filling space here dont mind this

8 because 3- -5=8 when u subtract a negative from a negative it becomes positive

Can someone help me please?

Answers

Answer:

C.

Step-by-step explanation:

The reds are counting up in whole numbers by one integer.

Hope this helps!

If not, I am sorry.

2.2.5a (Part 1): For the graph below, what is the x-intercept? *
-4 -2
2
-2
-4
y
2
4
0 points
X

Answers

An x-intercept is the point where the line of a graph passes through the x-axis. Thus, you should look for this point on the given graph.

What is a graph?

A graph can be defined as a type of chart that is used for the graphical representation of data on both the horizontal and vertical lines of a Cartesian coordinate i.e x-axis and y-axis.

In Mathematics, x-intercept refers to the point where the line of a graph passes through the x-axis as shown in the image attached below. Since the graph wasn't provided for this question, you should look for the point where the line passes or crosses through the x-axis.

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What is the probability of drawing a red card, replacing it, and then drawing an odd card?
4 red 5 blue 6 red 7 blue 8 blue

Answers

Answer:

4

Step-by-step explanation:

5

Item 18
What is the volume of the prism?



Enter your answer, as a mixed number in simplest form, in the box.


cm³


The figure contains a right rectangular prism. The length of the prism is labeled 6 and one half centimeters, the width is labeled 2 and one half centimeters, and the height is labeled 2 and one half centimeters.

Answers

A mixed number in simplest form, in the box is 40  5/8 cm^3.

We have given that,

The figure contains a right rectangular prism. The length of the prism is labeled 6 and one-half centimeters, the width is labeled 2 and one-half centimeters, and the height is labeled 2 and one-half centimeters.

What is the volume of the prism?

The figure is a rectangular prism, so the formula would be Volume = length x width x height.

length = 6 .5cm

width  =  2.5cm

height  =  2.5cm

If you plug everything you have in the problem into the volume equation, you would get

volume = 6.5cm x 2.5cm x 2.5 cm.

Without a calculator first, turn the mixed numbers into improper fractions.

6 .5=13/2

2.5 = 5/2

Volume = 13/2  x 5/2   x 5/2

When you multiply everything together you should get.

As a mixed number, that would be 40 5/8.

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Which is the simplified form of x-12?
O 12
O
O
*12
12
17/7/22

Answers

Applying the negative exponent rule, the simplified form of  [tex]x^{-12}[/tex] is: [tex]\frac{1}{x^{12}}[/tex].

What is the Negative Exponent Rule?

The negative exponent rule states that, if [tex]x^{-a}[/tex] then, it can be rewritten as, [tex]\frac{1}{x^a}[/tex].

Given the expression, [tex]x^{-12}[/tex], we can apply the negative exponent rule to rewrite the expression in simplified form as:

[tex]\frac{1}{x^{12}}[/tex].

Therefore, expressing  [tex]x^{-12}[/tex] in a simplified form will give us: [tex]\frac{1}{x^{12}}[/tex].

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Which of the following is the missing justification?
picture is provided

Answers

Answer: Choice C

Subtraction property of equality

====================================================

Explanation:

Let's say we started with the equation a = b

Subtract c from both sides to get a-c = b-c

This is the subtraction property of equality

-----------------

Example:

x+5 = 12

x+5-5 = 12-5 ... using the subtraction property of equality

x+0 = 7

x = 7

------------------

For this current problem, we're subtracting 3 from both sides in the second step.

A very closely related property is the addition property of equality where we add the same thing to both sides.

Technically we could add -3 to both sides to get the same task done in the second step. But the subtraction property is more direct and straight-forward in my opinion.

Kyla has the number of cherries that Denise has. If Kyla has 46 cherries, how many cherries do they have altogether?​

Answers

Answer:

92

Step-by-step explanation:

46 + 46 = 92

Answer: 92
Explanation:
46+46=92

Does the table of values below represent a proportional relationship?

x
2
3
4
5
y
10
15
24
25

Answers

Answer:

No

Step-by-step explanation:

The constant of proportionality is k = y/x. In this case, k is 5. When you multiply k which is 5 with the x value you should get the y value. You will see that 2 X 5  = 10, 3 X 5 = 15, and 5 X 5  = 25 but 4X 5 is not equal to 24. This means the ordered pair (4, 24) does not lie on the straight line that is formed where all the other ordered pairs (2,10), (3,15), and (5,25) lie.

For a proportional relationship in a table, the k is constant for all the ordered pair x and y values. All the ordered pairs in the table should also lie on the same straight line.

So the answer is no.

Solve the following quadratic by
completing the square.
y = x2 - 6x +2

Answers

Answer: [tex]3 \pm \sqrt{7}[/tex]

Step-by-step explanation:

[tex]1) \text{ } x^{2}-6x+2=0\\\\2) \text{ } x^{2}-6x=-2\\\\3) \text{ } x^{2}-6x+\left(\frac{-6}{2} \right)^{2}=-2+\left(\frac{-6}{2} \right)^{2}=7\\\\4) \text{ } (x-3)^{2}=7\\\\5) \text{ } x-3 =\pm \sqrt{7} \longrightarrow \boxed{3 \pm \sqrt{7}}[/tex]

The price of one kilograms of apple at a fruit mart is $4.00. If there is a special price this week with a
15% discount, how much do I need to pay if I buy 3 Kg of apple?

Answers

Answer
$10.20
Step by step explanation

4.00 × 15 ÷ 100 = 0.6

4.00 - 0.6 = 3.4

3.4 × 3 = 10.2

Please give answer
It’s for a school work

Answers

Answer:

x=60

Step-by-step explanation:

x+2x=3x

180/3=60(interior angles add up to 180)

find [-4/5]×3/7×15/16×[-14/9]​

Answers

The given expression is [tex]\frac{-4}{5} \times \frac{3}{7} \times \frac{15}{16} \times (\frac{-14}{9})[/tex].

We need to simplify the given expression.

What is a rational number?

In mathematics, a rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q.

Now group the rational numbers [tex](\frac{-4}{5}\times \frac{15}{16} ) \times (\frac{3}{7}\times (\frac{-14}{9}))[/tex]

[tex]=(\frac{-4}{16}\times \frac{15}{5} ) \times (\frac{3}{9}\times (\frac{-14}{7}))[/tex]

[tex]=(\frac{-1}{4}\times \frac{3}{1} ) \times (\frac{1}{3}\times (\frac{-2}{1}))[/tex]

[tex]=(\frac{-3}{4} ) \times (\frac{-2}{3})=\frac{1}{2}[/tex]

Therefore, the simplified value of the given expression is [tex]\frac{1}{2}[/tex].

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24. Kyla has 2/7the amount of cherries that Denise has. If Kyla has 46 cherries, how many cherries do they have altogether​

Answers

Answer:

207

Step-by-step explanation:

Denise has 46(7/2) = 161 cherries.

So, they have a total of 161 + 46 = 207 cherries

The answer is 161 cherries.

You can find this out by doing a reverse division problem. Take the 46 and put it over 1 as so (46/1). You will then want to multiply it by the reciprocal or the opposite of 2/7th which is 7/2. Once you do the equation (46/1)•(7/2) you will get 161!

the answer to this question

Answers

Answer:

positive 1!

Step-by-step explanation:

i got it right on the test trust me!

share 518 in ratio 2:5
please answer fast with the steps

Answers

Answer:

148:370

Step-by-step explanation:

2+5=7 parts

518÷7=74

1 part =74

2×74=148

5×74=370

The value of x must be greater than
0
1
3
7

Answers

Answer:

The value of x should be greater than 3.

Step-by-step explanation:

Given that,

The AB is 12 units.

The AC is 15 units.

We need to find the value of BC.

Based on the above information, the calculation is as follows:

As we know that

The sum of two sides length is always more than the 3rd one.

Based on this,

12 + 15 > x

x < 27

15 + x >12

x >-3

12 + x > 15

x >3

Please help me i would really appreciate it, I really dont want to fail the assignment!!!

Answers

The ordered pair of the solution for the system of equation area are (2, -3) and (3, -3)

How to solve system of equation?

f(x) = x² - 5x + 3

f(x) = -3

Therefore,

-3  = x² - 5x + 3

x² - 5x + 3 + 3 = 0

x² - 5x + 6 = 0

x² - 2x - 3x + 6 = 0

x(x - 2) - 3(x - 2) = 0

(x - 3)(x - 2) = 0

x = 3 or 2

when x = 2

f(x) = 4 - 10 + 3 = -3

when x = 3

f(x) = 9 - 15 + 3 = -3

Therefore, the ordered pair of the solution for the system of equation are (2, -3) and (3, -3)

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a and b are positive integers and 7a+5b=49. Find the values of a and b.

a and b are positive integers and 23a+17b=320. Find the values of a and b.

please hel you can get 30 points

Answers

Solving a system of equations, it is found that the value of a is of -191.75 and the value of b is of 278.25.

What is a system of equations?

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the equations are:

7a + 5b = 49.23a + 17b = 320.

Multiplying the first equations by 17 and the second by -5, we have that the system is:

119a + 85b = 833.-115a - 85b = -1600.

Then, adding them:

4a = -767

a = -767/4

a = -191.75

Then:

[tex]b = \frac{49 - 7a}{5} = \frac{49 - 7(-191.75)}{5} = 278.25[/tex]

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A cone with radius 2 units is shown below. Its volume is 29 cubic units.
2
h
Find the height of the cone.
Use 3.14 for π and round your final answer to the nearest hundredth.
units

Answers

Answer:

It's very interesting 4

Answer = 6.93
Reason
Formula for cone
V= 1/3 pi r^2 h
Fill in the values we know
29 = (1/3) (3.14) (2^2) h
29 = (1/3) (3.14) (4) h
Multiply numbers in parenthesis
29 = 4.187 h
Now isolate “h” by dividing both sides by 4.187

6.93 = h

The subject of the formula below is y.
y=X+p-q
Rearrange the formula to make x the subject.

Answers

Answer:

x=y-p+q

Step-by-step explanation:

y=x+p-q

x=y-p+q

This question is based on the box plot below: How is the data distributed?

Answers

The distribution is right skewed.

What is the data distribution?

A box plot is graph that is used to display data. The box plot is made up of two whiskers that are on either sides of a box. The first line on the box is the first quartile, the second line is the median and the third line is the third quartile.

When the median is closer to the bottom of the box, and if the whisker is shorter on the lower end of the box, the data is right skewed.

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Which expressions are equivalent to the one below? Check all that apply.log(10^7)

Answers

The value of expression is 7.

What is expression?

An expression is a combination of numbers, variables, functions (such as addition, subtraction, multiplication or division etc.)

Given:

[tex]log 10^{7}[/tex]

Now, using property of log

[tex]log b^{a} =[/tex] a log b

So,

[tex]log 10^{7}[/tex]= 7 log 10

As log 10 = 1

[tex]log 10^{7}[/tex]= 7 (1)

[tex]log 10^{7}[/tex]= 7

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what is 3x+2y=6 ordered pair?

Answers

The ordered pair of the equation 3x +2y = 6 will be ( 0,3) and ( 2 , 0).

What is an equation?

The equation in mathematics is the relationship between the variables and the number and establishes the relationship between the two or more variables.

We have an equation 3x + 2y = 6 now the ordered pair of the equation will be found by the graph will be ( 0,3) and ( 2, 0). The graph is also attached with the answer below.

Therefore the ordered pair of the equation 3x +2y = 6 will be ( 0,3) and ( 2 , 0).

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{
5x−y=19
13x−3y=51

Can anybody help me to understand this equation ASAP

Answers

Answer:

×=-3

y=-4

Step-by-step explanation:

13×-3y=51

(-) 5×-y=19

-5×+y=-19

13×-3y=51

8×-2y=32

2/8x-2y=32

4x-y=16

4×-y=16

-5×+y=-19

-×=-3

×=3

Answer:

x = 3
y = -4
(3,-4)

Step-by-step explanation:

Hello!

We can use the Elimination Method to solve the system.

To eliminate, we want atleast one variable to have the same coefficients on both equations. To do that, we can multiply the first equation by 3 to get -3y.

[tex]5x - y = 19[/tex][tex]3(5x - y = 19)[/tex][tex]15x - 3y = 57[/tex]

Now, we can vertically subtract them to eliminate -3y.

[tex]-\left \{ {{15x - 3y = 57} \atop {13x - 3y = 51}} \right.[/tex][tex]2x + 0 = 6[/tex]

Solve for x

[tex]2x + 0 = 6[/tex][tex]2x = 6[/tex][tex]x = 3[/tex]

The value of x is 3.

To solve for y, we can plug in 3 into the original first equation and solve for y.

Solve for y

[tex]5x - y = 19[/tex][tex]5(3) - y = 19[/tex][tex]15 - y = 19[/tex][tex]-y = 4[/tex][tex]y = -4[/tex]

The value of y is -4.

The solution to the system is (3,-4).

(02.01)
Solve for x: (x+20)/2=3x

Answers

When this equation is solved, the answer is X = 4

What is the area of Victor’s storage space?

Answers

The area of victor's storage space is 28 square inches

What is a polygon?

A polygon is a plane shape with at least three sides.

Analysis:

Area of storage = area of triangle + area of rectangle

Height of triangle = 5 - 3 = 2 inches

Base of triangle = 12 - 4 = 8 inches

length of rectangle = 5 inches

width of rectangle = 4 inches

Area of storage = 5 x 4 + 1/2 x 8 x 2 = 28 square inches

In conclusion, the area of the storage space is 28 square inches.

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Why [tex]\lim _{x\to -3}\left(x^2-2x+4\right)[/tex] is 19 and not 1??? I don't understand how lim x to -3 (x^2) become 9 and not -9???

PLEASEEEEEEEEEEEEE

Answers

The quadratic is continuous over its entire domain, which is to say we can evaluate the limit by direct substitution:

[tex]\displaystyle \lim_{x\to-3} (x^2 - 2x + 4) = (-3)^2 - 2(-3) + 4 = 9 + 6 + 4 = \boxed{19}[/tex]

You are mistaking (-3)² for -3². They are not the same number.

(-3)² = (-1 × 3)² = (-1)² × 3² = 1 × 9 = 9

-3² = -1 × 3² = -1 × 9 = -9

HELP ME PLEASE AND JUST GIVE ME THE ANSWER NO EXPLANATION

Answers

The missing end of the line segment [tex]\overline {GH}[/tex] whose midpoint is M(x, y) = (5, 3) and known endpoint is G(x, y) = (1, -5) is the point H(x, y) = (9, 11).

How to locate the missing end of a line segment

In this question we know an end and a midpoint of a line segment. The missing end can be found from the following formula:

M(x, y) = G(x, y) + 0.5 · [H(x, y) - G(x, y)]

M(x, y) = 0.5 · G(x, y) + 0.5 · H(x, y)

0.5 · H(x, y) = M(x, y) - 0.5 · G(x, y)

H(x, y) = 2 · M(x, y) - G(x, y)     (1)

If we know that M(x, y) = (5, 3) and G(x, y) = (1, -5), then the coordinates of the point H are:

H(x, y) = 2 · (5, 3) - (1, -5)

H(x, y) = (10, 6) - (1, -5)

H(x, y) = (9, 11)

The missing end of the line segment [tex]\overline {GH}[/tex] whose midpoint is M(x, y) = (5, 3) and known endpoint is G(x, y) = (1, -5) is the point H(x, y) = (9, 11).

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Answer:

its A

Step-by-step explanation:

Solve the equation for 0 <= x < 2pi.

(2sin x - 1)(2cos^2 x - 1) = 0

Answers

If

(2 sin(x) - 1) (2 cos²(x) - 1) = 0

then either

2 sin(x) - 1 = 0   or   2 cos²(x) - 1 = 0

sin(x) = 1/2   or   cos(2x) = 0

The first equation gives two families of solutions,

x = arcsin(1/2) + 2nπ = π/6 + 2nπ

x = π - arcsin(1/2) + 2nπ = 5π/6 + 2nπ

where n is any integer; we get the solutions x = π/6 and x = 5π/6 in the interval 0 ≤ x < 2π when n = 0.

The second equation also gives two families of solutions,

2x = arccos(0) + 2nπ = π/2 + 2nπ

2x = -arccos(0) + 2nπ = -π/2 + 2nπ

Divide both sides by 2 :

x = π/4 + nπ

x = -π/4 + nπ

Then the solutions we want are x = π/4 and x = 5π/4 (when n = 0 and 1 in the first family, respectively) and x = 3π/4 and x = 7π/4 (when n = 1 and 2 in the second family).

We have 6 solutions, so A is the correct choice.

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