Geometry. Use the figure below to solve for k.

Based on the SAS, SSS, and the transitive property of congruence, the reason why ΔABC ≅ ΔGHJ is because of option B.

The SAS is a triangle theorem that states that two triangles are congruent if they both have two pairs of congruent sides and a pair of included congruent angles.

On the other hand, the SSS states that two triangles that have three pairs of congruent sides are equal.

The transitive property of congruence states that if two triangles are congruent to a third triangle, then all three triangles are congruent to each other.

Based on the SSS, triangle ABC is congruent to triangle DEF.

Based on the SAS, triangle DEF is congruent to GHJ.

Therefore, based on the transitive property of congruence, triangle ABC is congruent to triangle GHJ.

Therefore, the reason why ΔABC ≅ ΔGHJ is because of the reason given in option B.

Learn more about the SAS and SSS on:

https://brainly.com/question/3999145

#SPJ1

Answer:  $130 money did Brenda and Hazel have all together before buying decorations and snacks.

Here, we have,

You want to know Brenda and Hazel's combined money when the ratio of their remaining balances is 1 : 4 after Brenda spent $58 and Hazel spent $37. They had the same amount to start with.

Setup

Let x represent the total amount the two women started with. Then x/2 is the amount each began with, and their fnal balance ratio is ...

 (x/2 -58) : (x/2 -37) = 1 : 4

Solution

Cross-multiplying gives ...

 4(x/2 -58) = (x/2 -37)

 2x -232 = x/2 -37 . . . . . . eliminate parentheses

 3/2x = 195 . . . . . . . . . . . . add 232-x/2

 x = (2/3)(195) = 130 . . . . . multiply by 2/3

Brenda and Hazel had $130 altogether before their purchases.

Alternate solution

The difference in their spending is $58 -37 = $21.

This is the same as the difference in their final balances.

That difference is 4-1 = 3 "ratio units", so each of those ratio units is $21/3 = $7.

Their ending total is 1+4 = 5 ratio units, or $35.

The total they started with is $58 +37 +35 = $130.

To earn more on addition click:

brainly.com/question/29560851

#SPJ1

complete question:

Brenda and Hazel decide to throw a surprise party for their friend, Aerica. Brenda and Hazel each go to the store with the same amount of money. Brenda spends $58 on decorations, and Hazel spends $37 on snacks. When they leave the store, the ratio of Brenda’s money to Hazel’s money is 1 : 4. How much money did Brenda and Hazel have all together before buying decorations and snacks?

Answer:

first one: a,d,e

second one: d

Step-by-step explanation:

pemdas

Answer:

1.- A

2.- A

Step-by-step explanation:

When Jackson wrote different patterns for the rule "subtract 5", the patterns that he could have written include

A. 27, 22, 17, 12, 7

D. 100, 95, 90, 85, 80

It is important to note that an expression is simply used to show the relationship between the variables that are provided or the data given regarding an information. In this case, it is vital to note that they have at least two terms which have to be related by through an operator.

Some of the mathematical operations that are illustrated in this case include addition, subtraction, etc. In this case, when Jackson wrote different patterns for the rule "subtract 5", the patterns that he could have written include 27, 22, 17, 12, 7 and 100, 95, 90, 85, 80. In this cases, there are difference of 5.

Learn more about expressions on:

https://brainly.com/question/723406

#SPJ1

Complete question

Jackson wrote different patterns for the rule "subtract 5". Select all of the patterns that he could have written.

27, 22, 17, 12, 7

5, 10, 15, 20, 25

55, 50, 35, 30, 25

100, 95, 90, 85, 80

75, 65, 55, 45, 35

Answer:

kjj ,mStep-by-step explanation:

If he wants an average of 84, he needs to get at least 93 points.

Remember that the average value between 3 values A, B, and C is:

(A + B + C)/3

Here we know that the first two scores are 76 and 83 points, let's say that the third score is x, if we want to have an average of 84 or more, then we need to solve:

(76 + 83 + x)/3 = 84

159 + x = 252

x = 252 - 159

x = 93

So he needs to get at least 93 points in the next exam.

Learn more about averages at:

https://brainly.com/question/20118982

#SPJ1

The bunch of roses costs $12/$3 = 4 times as much as a single rose.

What is arithmetic sequence?

An arithmetic sequence is a sequence of numbers in which each term after the first is found by adding a fixed constant number, called the common difference, to the preceding term.

The bunch of roses costs 4 times as much as a single rose.

To see why, we can divide the cost of the bunch of roses by the number of roses it contains. If a bunch of roses costs $12 and contains, say, 4 roses, then each rose in the bunch costs $3. On the other hand, a single rose costs $3 on its own.

Therefore, the bunch of roses costs $12/$3 = 4 times as much as a single rose.

To learn more about arithmetic sequences from the given link:

https://brainly.com/question/15412619

#SPJ1

Example: (2x - 4) x=7 so (2x (x=7) - 4) =18

Answer:

20%

Step-by-step explanation:

The theoretical probability of drawing a red marble can be found by dividing the number of red marbles by the total number of marbles in the bag:

P(red) = number of red marbles / total number of marbles

P(red) = 5 / (5 + 8 + 12)

P(red) = 5 / 25

P(red) = 0.2

So the theoretical probability of randomly drawing a red marble is 20%, which corresponds to option (C).

Beatriz measured the weight of a box and determined the margin of error as 23.5 pounds to 24.5 pounds. The range of the margin of error is 1 pound, which means that the actual weight of the box could be off by a maximum of 1 pound.

Beatriz measured the weight of a box and determined the margin of error as 23.5 pounds to 24.5 pounds. The greatest possible error for her actual measurement can be determined by finding the range of the margin of error.

The range of the margin of error can be determined by finding the difference between the upper limit and the lower limit. Therefore, the range of the margin of error is 24.5 - 23.5 = 1 pound.

This means that the actual weight of the box could be off by a maximum of 1 pound. This is the greatest possible error for her actual measurement.

For more questions on the margin of error

https://brainly.com/question/29328438

#SPJ8

Step-by-step explanation:

4/11

please check the image above for confirmation

Answer:

.

Step-by-step explanation:

Express \(\sf0.\overline{36}\) in p/q form

\(\large\underline{\sf{Solution-}}\)

Given that:

\(\longmapsto\sf0.\overline{36}\)

Let this be equal to x.

So,

\(\longmapsto\sf x=0.\overline{36}- - - -(1)\)

Multiplying both side by 100,

\(\longmapsto\sf 100x=36.\overline{36}- - - -(2)\)

Subtracting (2) from (1),

\(\longmapsto\sf 100x-x=36.\overline{36}-0.\overline{36}\)

\(\longmapsto\sf 99x=36\)

So,

\(\longmapsto\sf x=\dfrac{36}{99}\)

Dividing by 9,

\(\sf\longmapsto x=\dfrac{4}{11}\)

Hence,

\(\sf\longmapsto\bf0.\overline{36}=\dfrac{4}{11}\)

Answer:

1.25

Step-by-step explanation:

The answer is 3/4+1/2=1.25.

Hope this helps:)

Answer:

Step-by-step explanation:

3/4+1/2

is also known as 3/4 +2/4

which is 1 1/4 or 5/4.

A sample of matter experiences a decrease in average kinetic energy as it continues to cool. One would anticipate that the particles will eventually come to a complete stop. The temperature at which particles should theoretically stop moving is absolute zero. Thus, option B is correct.

What theory directly contradicts concept of absolute zero?

All molecules are predicted to have zero kinetic energy and, as a result, no molecular motion at absolute zero (273.15°C). Zero is a hypothetical value (it has never been reached).

Absolute zero signifies that there is no kinetic energy involved in random motion. A substance's atoms don't move relative to one another.

Therefore, Kinetic energy because it can create heat which goes against the absolute zero. A gas molecule's kinetic energy tends to zero when the temperature reaches absolute zero.

Learn more about theory here:

brainly.com/question/18996125

#SPJ2

Answer:

A , C

Step-by-step explanation:

x² + 14x + 40 = ( x + 4 )( x + 10 )

main formula: x² + ( a + b )x + ab = ( x + a )( x + b )

Answer:

z + n m

Step-by-step explanation:

These expressions are equivalent because the commutative property of addition, which states that when adding two terms, the order doesn't matter.

If this answer is correct, please make me Brainliest!

Answer:

It's "c"

Step-by-step explanation:

i just did this on edge

Answer:

B. 8 + 5

Step-by-step explanation:

5 - (-8)

= 5 + 8

= 8 + 5

The equation of the parabola with a vertex at the origin and a directrix at; y = 5 as described in the task content is; x² = -20y.

It follows from the task content that the vertex of the parabola is at the origin while it's directrix is the line; y = 5.

Therefore, it follows that the focus of the parabola is; f = -5, since; (f - k) = (k - 5) where, k = 0.

Ultimately, a = 1/4(f-k).

a = 1/4(-5-0) = -1/20.

Recall, the vertex form equation of a parabola takes the form;

y = a(x - h)² + k; where (h, k) is the vertex.

Therefore, since the vertex is at the origin; we have;

y = (-1/20) (x -0)² + 0

y = -x²/20

20y = -x²

Ultimately, the required equation of the parabola is;

x² = -20y.

Read more on equation of a parabola;

https://brainly.com/question/28532850

#SPJ1

Answer:

\(y = -\frac{1}{20} x^{2}\)

Step-by-step explanation:

\(y = \frac{1}{4(f-k)}(x - h)^{2} + k\) Use the equation of the parabola. The vertex is at the origin, then (h, k) is (0, 0). Substitute 0 for h and k in the equation.

\(y = \frac{1}{4(f-0)} (x-0)^{2} + 0\) Simplify.

\(y = \frac{1}{4f} x^{2}\)

The directrix is given \(y = 5\). The distance from the focus to the vertex equals the distance from the vertex to the directrix, so

\(f - k = k - 5\\f = -5\) Substitute -5 for f  in the equation of the parabola above.

\(y = \frac{1}{4 * - 5} x^{2}\) Simplify.

\(y = - \frac{1}{20} x^{2}\)

Greece is different from most other countries in southern Europe because its most popular religion is not Catholicism. Option B

Catholicism refers to the traditions, beliefs, and behaviors of the Catholic Church

Greece is predominantly an Orthodox Christian country, whereas most other countries in southern Europe, such as Italy, Spain, and Portugal, are predominantly Catholic.

Learn more about Catholicism at:https://brainly.com/question/929974

#SPJ1

Step-by-step explanation:

1. given

2. vertical angles

3. alternate interior angles

4. AA I think

Answer:

number 1 hehehehej2b2ii2

Answer:

A

Step-by-step explanation:

the equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k ) are the coordinates of the centre and r is the radius

here (h, k ) = (4, 1 ) and r = 2 , then

(x - 4)² + (y - 1)² = 2² , that is

(x - 4)² + (y - 1)² = 4 ← equation of circle

Answer: i think c

Step-by-step explanation:

Answer:

150 in cubed

Step-by-step explanation:

Answer:

C. the next fraction is 243/324

Step-by-step explanation:

In A, we can see that 12/16 does not fall under the sequence.

In B, all the values in the sequence is 0.75.

In C, the next fraction is determined by multiplying numerator and  denominator by 3. therefor the correct solution is found.

In D, its wrong and does not match.

Check option C

Hence option C is correct as all are equal in this sequence

Answer:

640 feet

Step-by-step explanation:

8 = 320

16 = 640

Answer:

640

Step-by-step explanation:

8-->16

320-->640

Answer:

\(y=5x+4\)

Step-by-step explanation:

We know that we'll have to manipulate the equation \(y=mx+b\), so we can start there.

\(m\) stands for the gradient of the function (or slope) and \(b\) stands for the y-intercept of the function (the y value where the line touches the vertical line (y axis)).

Since we know that \(m\) stands for the slope and that the slope in this problem is 5, we can plug it into the original equation and we'll get

\(y=5x+b\)

We also know that this line passes through the point (4,24). This means that it passes through the point where x = 4 and y = 24. If we plug in these values into the equation that we made above, we can solve for b.

\(24 = 5\cdot 4 + b\\24 - 20 = b \\b = 4\)

Now that we know what b is, we can plug it into \(y=5x+b\) and we'll get

\(y=5x+4\)

Good luck!

Answer:

\(P(x) = \frac{2}{10} = 0.2\)

The probability of the event E = {3, 10} where the outcome are equally likely would be 0.2

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.

P(E) = Number of favorable outcomes / total number of outcomes

We have given the sample space = {1,2,3,4,5,6,7,8,9,10}

The favorable outcomes E={2,4}

As we know that the probability is the ratio of favorable otcomes to the sample space

We have given favorable outcomes E={2,4} that is;

The favorable outcomes=2

The sample space =  {1,2,3,4,5,6,7,8,9,10}

The probability , P = 2/10 = 0.2

Hence, the probability of the event E = {3, 10} would be 0.2

Learn more about probability here;

https://brainly.com/question/11234923

#SPJ2