One degree of longitude at the equator is approximately 111 km. As we move north or south the size of a degree changes. How many kilometers would 1° of longitude measure in kilometers at 45° latitude north? A. 55.5 kilometers B.222 kilometers C. 444 kilometers D. 0 kilometers

Answer:

Step-by-step explanation:

C

The theorem that applies is Similar SAS.

The correct option is C.

Those triangles look the same but are different in size.

And in similar triangles,

the corresponding sides are in proportion to each other and the corresponding angles are equal to each other.

Given information:

SM = 27, angle SMA = 31 degrees, MA = 15, DL = 9, LE = 5 and Angle DLE = 31 degrees.

From the given information, we know that angle SMA is congruent to angle DLE because they both have a measure of 31 degrees. However, we do not have any information about the other angles in the two triangles.

To check if the corresponding sides are proportional, we can compare the ratios of the corresponding side lengths:

SM/ DL = 27/9 = 3

MA/LE = 15/5 = 3

Since the ratio of SM to DL is equal to the ratio of MA to LE, we know that the corresponding sides are proportional.

Therefore, we can use the Similarity-SAS (Side-Angle-Side) postulate to conclude that the triangles are similar. The postulate states that if two pairs of corresponding sides are proportional and the included angles are congruent, then the triangles are similar.

The answer is (C) Similar - SAS.

To learn more about similar triangles;

https://brainly.com/question/14926756

#SPJ7

Answer:

it would be rounded to 9

Step-by-step explanation:

sense this is the answer 8.704061896  you ought to round then again im not   perfect if   posable you should try 9 first if its wrong then try 8

Answer:

2 1/2 meters

Step-by-step explanation:

Amita's kitchen is rectangular with an area of 3 3 /4 square meters. The width of the kitchen is 1 1/ 2 meters. What is the length, in meters, of Amita's kitchen?

The formula for the area of a rectangle = Length × Width.

To find the length our formula becomes : Area/Width

In the question,

Area = 3 3/4 m²

Width = 1 1/2 m

Length of the rectangular kitchen

= 3 3/4 m² ÷ 1 1/2 m

= 15/4 m² ÷ 3/2 m

= 15/4 m² × 2/3 m

= 5/2 m

= 2 1/2 m

The length of the rectangular kitchen is 2 1/2 meters

Hi! This is more simple than you think!

Whenever there is a negative exponent, your answer automatically turns into a fraction no matter what!

Your answer is C!

[tex]\frac{1}{5^{2} }[/tex]

I wish you the best of luck on the rest of your problems! Keep what I said in mind next time you see a negative exponent !

:)

Answer:

4 [tex]\sqrt5[/tex]

Step-by-step explanation:

Use Pythagorean theorem to get c^2 for the hypotenuse, which is equal to [tex]\sqrt80[/tex]. You then simplify to get the simplest radical form by [tex]\sqrt80[/tex] = [tex]\sqrt{8*10} = \sqrt{4*2*5*2} = \sqrt{16*5} = 4\sqrt{5}[/tex]

Answer:

the answer is M=59

Step-by-step explanation:

58-14= 44

44 * 1 1/3 = 58.6666666667 = 59=M

hope this help and feel free to give brainiest

Answer:

Did you know one-quarter of all your bones are located in your feet?

Step-by-step explanation:

Answer:

Simple!

Step-by-step explanation:

The triangle is obviously a right triangle, meaning, we can use the Pythagorean Theorem to solve for x!

(The Pythagorean Theorem is where [tex]a^2=b^2+c^2[/tex], or the length of the hypotenuse (side opposite to the 90 degree angle) squared is equal to the length of one leg squared plus the other leg squared).

To put it simply:

[tex]x^2=20^2+5^2[/tex]

Now to solve!

[tex]x^2=400+25\\x^2=425\\x=\sqrt{425} \\x=5\sqrt{17}[/tex]

This cannot be simplified further, so that's your answer!

Hope this helps!

Answer:

That is definitely C

happy holidays to you too

50 divided by 4 is 12.5, so it is 12.5 for 1 soap cake, 12.5 x 36 is 45.0

The answer is 45.0

Mark Branliest!

Answer:

All of the above

Step-by-step explanation:

Each postulate shows congruence in their respective triangles.

Answer:

A) [tex]m=8.65h[/tex]

B) $29.58

Step-by-step explanation:

Earnings per hour = $8.65

To find:

A) Write a rule for money m as a function of the number of hours h spent mowing lawns.

Earnings done in one hour = $8.65

Number of hours = [tex]h[/tex]

To find the total earnings, [tex]m[/tex] as a function of number of hours [tex]h[/tex], we need to multiply per hour earnings with number of hours [tex]h[/tex].

Therefore, the equation is:

[tex]m=8.65h[/tex]

B) How much does Robert earn if she works 3 hours and 25 minutes?

First of all, let us convert 3 hours and 25 minutes to hours.

3 hours 25 minutes = 3.42 hours

Therefore, total earnings are:

[tex]m = 8.65\times 3.42 = \$29.58[/tex]

Answer:

$884.34

Step-by-step explanation:

$850.00*2%=$17.00

$850.00+$17.00=$867.00

$867.00*2%=$17.34

$867.00+$17.34=

$884.34

Answer: $850 x 2 = $1700.00

Step-by-step explanation: You just multiply 2 times $850 and you get your answer.

Answer:

( A ) 1.365

Nice to see you again :)

Answer:

They won 2/3 of the games, or about %66 percent.

Step-by-step explanation:

There is a total of 30 games played, becuase 20+10 is 30, and they won 20 out of 30 of the games. or 20/30. You then divide 20/30 and you will get .6666 which is 66%.

Answer:

30 %

Step-by-step explanation:

20×10=30

Or

20+10=40

Answer:

A number line going from 2 to 5. An open circle is at 3. Everything to the right of the circle is shaded.

Step-by-step explanation:

If it is < or > there will be an open circle

If it is ≤ or ≥ there will be a closed circle

On a number line the numbers get larger the more it goes to the right

Answer:

the answer is c

Step-by-step explanation:

the other guy is right he just made his answer really long.

Answer:

The third option is wrong becuase x isn't a defined variable, and they specified that the book must be at least 250 pages, which means that it can't be less.

Answer:

40 square cm

Step-by-step explanation:

Answer:40 square cm

Step-by-step explanation:

#1 False #2 True #3 False #4 True #5 True

Answer:

2.12

Step-by-step explanation:

Answer:

I think 0.088 altogether I got 63.088 with tax

Step-by-step explanation:

Answer:

Step-by-step explanation:

we see that when x = 0 the y = 7 so we already kno our y intercept is 7

then we can see that it decreases by 4 each time so our slope is -4x

now we just put that in equation form

y=-4x+7

hope this helps <3

Answer:

B

Step-by-step explanation:

The sum of 42 + 63 is equal to 105.

B is the only answer that matches the sum of 42 and 63.

7 * 15 = 105

:3))

Answer:

11

Step-by-step explanation:

It is a whole number and a postive integer

Answer: -14

Step-by-step explanation:

Answer:

10$ for an adult and 7$ for a child

Step-by-step explanation:

price for an adult = a

price for a child = b

2a + 4b = 48.............(i)

5a + 2b = 64.............(ii)

make a subject of the formula in equation (i)

2a = 48 - 4b

divide through by 2

a = 24 - 2b

Insert the value of a in equation (ii)

5(24 - 2b) + 2b = 64

120  - 10b + 2b = 64

collect like terms

- 8b = 64 - 120

-8b = -56

divide both sides by -8

b = 7

insert the value of b in equation(i)

2a + 4(7) = 48

2a + 28 = 48

2a = 48 - 28

2a = 20

divide both sides by 2

a = 10

The price for one adult is $10 while the price for one child is $7

credit goes to vintechnology

hope that helped :)

Answer:

yes

Step-by-step explanation:

yes

Explanation:

Start at a point like (0,2) which is on the blue f(x) line.

Move upward until you reach the red g(x) line. You should move up 3 units. Every point on f(x) follows the same pattern to land on a corresponding point on g(x). Therefore, this moves the entire blue line up 3 units.

This leads to k = 3

So g(x) = f(x) + 3

Answer: 3

Step-by-step explanation: This is because I took the test and because if you look at the graph its on 5 and 2. An easy way to look at it is what is 5-2 but you'd have to figure out what the answer was first. Between 5 and 2 is 3. Hope this helped!

Answer:

If 11hrs= $242

   7hrs=7x242/100

             154

Josh will made $154

Step-by-step explanation:

Answer: its in the pic

Step-by-step explanation:

Answer:

for a straight line graph,pick two points on the graph - The gradient of the line =(change in y-coordinate)/change in x-coordinate)You can,also use dis to find the equation of the line Since the line crosses the y-axis when y=3 , the equation of the graph is y=1/2x +3

Answer: -60i

Step-by-step explanation:

(-3i) (4i) = -12i^2 = 12 because i^2 = -1

then lastly

12 (-5i) = -60i