Convert the following numbers of calories or
kilocalories into joules or kilojoules.
a. 7845 cal
b. 4.55 x 104 cal
C. 62.142 kcal
d. 43,024 cal

When you have two congruent figures, the vertices are listed in the same order. This means that

Side LM ≅ Side QR, Side MN ≅ Side RS, etc. The same applies for the angles.

Therefore, Side LM ≅ Side QR and Angle MNO ≅ Angle RST.

The complete statements are Side LM is congruent to the side QR and angle ∠MNO is congruent to angle ∠RST.

The two quadrilaterals whose angles and sides of one quadrilateral are the same as the corresponding angles and sides of another quadrilateral then two quadrilaterals are congruent to each other.

The order of the lettering for congruent parts should place the lettering for corresponding parts in the same order.

Given in the question that the quadrilateral LMNO and QRST are congruent.

LMNO ≅ QRST

As we know Congruent Parts of the congruent Figures are also congruent, we have;

side LM is congruent to side QR.

side MN is congruent to side RS.

side NO is congruent to side ST.

side OL is congruent to side TQ.

Similarly, for the corresponding angles of the quadrilaterals, we have;

angle ∠MNO is congruent to angle ∠RST.

angle ∠NOL is congruent to angle ∠STQ.

angle ∠OLM is congruent to angle ∠TQR.

angle ∠LMN is congruent to angle ∠QRS.

Therefore, Side LM is congruent to the side QR and angle ∠MNO is congruent to angle ∠RST.

Learn  more about Congruent quadrilateral

here: https://brainly.in/question/41011000

#SPJ2

Answer:

x= 20

Step-by-step explanation:

The three angles add to 90 degrees

x+2x+x+10 = 90

Combine like terms

4x+10 = 90

Subtract 10 from each side

4x +10-10 = 90-10

4x = 80

Divide by 4

4x/4 = 80/4

x = 20

Answer:

x = 20

Step-by-step explanation:

The three angles are complementary to each other.

That means they add up to 90 degrees.

x + 2x + (x + 10) = 90

Combine like terms.

4x + 10 = 90

Subtract 10 on both sides.

4x = 80

Divide both sides by 4.

x = 20

Answer:

67,108,864 or 4^13

Step-by-step explanation:

4^6*4^7=4^13 you basically just add the exponents since the base is the same.

Since these two powers have the same base of 4, you can multiply

them together by simply adding their exponents to get 4¹³.

This idea is called the product rule.

A common mistake in this problem would be to multiply

the bases together and give an answer of 16¹³.

It's important to understand however that the 4's in this problem can't

be multiplied together because they're not coefficients, they're bases.

When applying your exponent rules, your base will never change.

Answer:

A = 27π

P =

Step-by-step explanation:

Well if it follows the same proportions as a square then the dotted line is 6 cm.

                                                      Triangle                                                                

So the area of a triangle is b*h / 2

b = 6

h = 6

6*6 = 36

36 / 2 = 18

A = 18cm^2

So to find the missing side or c we do 6^2 + 6^2 = c^2,

36 + 36 = c^2

72 = c^2

≅8

6 + 6 + 8

= 20cm

                                                       Half circle                                                                  

Now the area of a semicircle is,

pi r^2 / 2

So if the diameter is 6 then the radius is 3.

So we do 3*3 = 9

9 * pi = 9π^2

Perimeter: 6π

____________________________________________________________

Thus,

the area is 27π and the perimeter 26π.

Hope this helps :)

Answer:

Ok so im in 7thgrade so ima try to help answer is x= 8x9

Answer:

22ft^2

Step-by-step explanation:

I am not sure if this is the correct answer since there were no numbers to the question you wrote out.

Answer:

It is not linear.

Step-by-step explanation:

If you plug in the coordinates into a graphing calculator, you'll see that after the point (7,2), the line starts to increase. A linear function on a graph is going to be a straight line, not increasing or decreasing. It's consistent. I hope this was helpful.  

Answer:

2560

Step-by-step explanation:

Answer:

2,560

Step-by-step explanation:

To find the total, we need to use the number of options for all 4 of the categories. Once we have those number, we just need to multiply them to find the total number of possibilities. This is called the Fundamental Counting Principle.

8 x 8 x 8 x 5 = 2560

Hope this helps!! ;)

Answer:

1). x = 10 m

2). x = 15 cm

3). x = 5 yd

4). AB = 10 units

Step-by-step explanation:

1). By Pythagoras theorem in the given triangle,

 a² + b² = c²

 Where 'c' = Hypotenuse

 a and b = Legs of the right triangle

 By substituting measures of the sides in the formula,

 x² = 8² + 6²

 x = [tex]\sqrt{100}[/tex]

 x = 10 m

2). By using Pythagoras theorem in this triangle,

  x² = 9² + (12)²

  x² = 81 + 144

  x = [tex]\sqrt{225}[/tex]

  x = 15 cm

3). By Pythagoras theorem,

  (13)² = x² + (12)²  

  169 = x² + 144

  169 - 144 = x²

  25 = x²

  x = 5 yd

4). If BD is a perpendicular bisector of AC,

  AD = CD = 6 cm

  By Pythagoras theorem in ΔABD,

  AB² = BD² + AD²

  AB² = 8² + 6²

  AB = [tex]\sqrt{100}[/tex]

  AB = 10 units

Answer:

Mr. Wilson invested $ 2,000 in the 12% simple interest account and $ 6,000 in the 6% simple interest account.

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Amount of the investment = $ 8,000  

Interest rate of the first account= 6% simple  

Interest rate of the second account= 12% simple  

Interest of the accounts in a year = $ 600  

2. How much did he invest in each account?

For answering the question, we will use the following equation:  

x = Amount invested in the first account  

8,000 - x = Amount invested in the second account  

0.06x + 0.12 * (8,000 - x) = 600

0.06x + 960 - 0.12x = 600

-0.06x = 600 - 960 (Subtracting 960 at both sides)

-0.06x = -360

x = -360/-0.06

x = 6,000 ⇒ 8,000 - x = 2,000  

Mr. Wilson invested $ 2,000 in the 12% simple interest account and $ 6,000 in the 6% simple interest account.

Answer:

sure

Step-by-step explanation:    

I am bob and I work at a restaurant. I notice at 4 and 6 am 2 people come into the restaurant and at 7 and 8 pm 2 people come, but at 9 and 10 pm 8 people come in. So I graph the data and i find out that the graph is skewed to the right as most of the data points are more to the right/positive part of the graph

Answer:

C

Step-by-step explanation:

On edg 2020

Answer:

The speed of plane = 40 m/s

The speed of the wind = 300 m/s

Step-by-step explanation:

Let the speed of the plane = Y

And the speed of the wind = X

If the plane then travel 340 miles per hour with the wind, that means the plane and the wind are moving in the same direction. Therefore,

X + Y = 340 ..... ( 1 )

Also, 260 miles per hour against the wind. That is, the plane is moving opposite to the direction of the wind. Therefore,

X - Y = 260 ..... ( 2 )

Solve the two equations simultaneously by addition. That will eliminate Y

X + Y = 340

X - Y = 260

2X = 600

X = 600/2

X = 300 m/s

Substitutes X in equation (1)

300 + Y = 340

Make Y the subject of formula by collecting the like terms

Y = 340 - 300

Y = 40 m/s

Therefore, the speed of the plane is 40 m/s. While the speed of the wind is 300 m/s.

Answer:

1. Both forward and backward

2. Only forward

Step-by-step explanation:

    The reason Statement 1 can be both forward and reverse is because is Bo and Mel are related then it will word forward and backward.

The reason Statement 2 can be only forward is because is the sprinklers are on then the grass is wet will work since it is saying ONLY the sprinklers are on. If it is reverse and the grass is wet if the sprinklers are ONLY on than that is false since if it rains than the grass can also be wet. So there are multiple ways that the grass can be wet hence the answers.

Answer:

Using everyday knowledge, indicate whether the if-then statements are correct forward-only or both forward and reverse. Statement 1: If Bo is Mel’s sibling, then Mel is Bo’s sibling. / Statement 2: If the sprinklers are on, then the grass is wet.

Step-by-step explanation:

Answer:

0.84+122.4x is your answer. hope this helped

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

25*0.99 = 24.75

Answer:

C

Step-by-step explanation:

Im taking the test

Answer:

$112.50

Step-by-step explanation:

So first you will need to understand I=PRT, [tex]I[/tex] stands for the interest on the original investment, P stands for the amount of the original investment, R stands for the interest rate which is supposed to be in decimal form, and T is the time or the number of years you leave the money.

    So the equation if you plug in everything would be I= 1,250 times 0.03 times 3. So if you multiply all of the numbers together you would get $112.50. And that is the correct answer

Answer:

y=1.5x

78

Step-by-step explanation:

y=1.5x

y=1.5(52)

y=78

Answer:

6²

Step-by-step explanation:

A number squared is a perfect square, thus

6² ← is a perfect square

Answer:

81.1

Step-by-step explanation:

The formula to find the cirumference is C=πd

We know d=diameter

so.. C=25.8π

That's gives us 81.053

round it after to approximately 81.1

Answer:

find the equation to find a circumference of circle with that diameter

Step-by-step explanation:

google

Answer: 12 days

Step-by-step explanation: if the track is 2214.5 miles long and Miguel is doing 21.14 miles an hours for 9 hours a day we’d need to know how much he completes in a single day

He does 9 hours and in each hour he completes 21.14 miles. So in a whole day he will complete 190.26 miles.

He needs to finish 2214.5 miles and he only completes 190.26 miles per day. So we divide to find how many days it will take him. After dividing we get the answer of 12 days

Answer:16 students liked ready salted

Step-by-step explanation:

35 students = boys

65 students = girls

Boys:

12/35 like cheese and onion

16/35 like salt and vinegar

7/35 like ready salted

Girls:                  

9/65 like ready salted

25/65 like salt and vinegar

31/65 like cheese and onion

Step-by-step explanation:

You should always use the least number of significant figures.  The exception is exact numbers or constants.

For example, there are 60 minutes in an hour.  Even though this number has one significant figure, it is an exact number.  So 15 minutes converted to hours would be 0.25 hr.

Answer:

1) 0.1504

2) 0.432

Step-by-step explanation:

1) The given information are;

The proportion of the morning appointments that are with elderly patients = 60%

The number of patients in the appointments  = 10 patients

The proportion of the morning appointments that are with non-elderly patients = 100 - 60 = 40%

The binomial probability distribution is given as follows;

[tex]P(X = r) = \dbinom{n}{r}p^{r}\left (1-p \right )^{n-r}[/tex]

[tex]P(X = 0) = \dbinom{10}{0}0.6^{0}\left (1-0.6 \right )^{10}[/tex] = 0.000105

[tex]P(X = 1) = \dbinom{10}{1}0.6^{1}\left (1-0.6 \right )^{9}[/tex] = 0.0016

[tex]P(X = 2) = \dbinom{10}{2}0.6^{2}\left (1-0.6 \right )^{8}[/tex]= 0.01062

[tex]P(X = 3) = \dbinom{10}{3}0.6^{3}\left (1-0.6 \right )^{7}[/tex]= 0.0425

The probability that the first four patients are elderly is 0.000105 + 0.0016 + 0.1062 + 0.0425 = 0.1504

2) The probability that exactly 2 out of 3 morning patients are elderly patient is given as follows

[tex]P(X = 2) = \dbinom{3}{2}0.6^{2}\left (1-0.6 \right )^{1}[/tex]= 0.432

Answer:

Step-by-step explpointsanation:

Answer:

144 units

Step-by-step explanation:

3x + 8 + 4x + 10 = 8x

7x + 18 = 8x

8x - 7x = 18

x = 18

8x is length of BC

8 × 18 is length of BC

144 units

Answer:

What is the length of segment BC?

144 units

explanation:

<3

Answer:

125

Step-by-step explanation:

So saying something went up by 25% means that it is essentially

X + .25X

So in this case X = 100 and .25X = 25

So 100 + 25 = 125