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3 years ago

On a map, 1 cm represents 30 km. Two cities on the map are 2.3 cm apart.

Mathematics

1 answer:

Lorico [155]3 years ago

8 0

Answer:

D. 69 Km

Step-by-step explanation:

Scaling

Maps usually represent real areas on the field, but since they cannot fit in pieces of paper, we use scales where sizes and distances are all proportional to the real measurements.

On the map of the question, we know 1 cm represents 30 Km. It means that we can know approximate real distances by measuring the distances on the paper or blueprints.

Two cities are 2.3 cm apart on the map, it means that they are really 2.3*30 =69 Km apart

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If each quadrilateral below is a parallelogram,find the missing measures.

zhenek [66]

Answer:

Part 1) $MN=31\ units$

Part 2) $KN=45\ units$

Part 3) m∠K=61°

Part 4) m∠L=119°

Part 5) m∠M=61°

Step-by-step explanation:

we know that

In a parallelogram opposite angles and opposite sides are congruent and consecutive angles are supplementary

Part 1) Find the side MN

we know that

MN≅KL ----> by opposite sides

we have

$KL=31\ units$

therefore

$MN=31\ units$

Part 2) Find the side KN

we know that

KN≅LM ----> by opposite sides

we have

$LM=45\ units$

therefore

$KN=45\ units$

Part 3) Find the measure of angle K

we know that

m∠K+m∠N=180° ----> by consecutive interior angles

we have

m∠N=119°

substitute

m∠K+119°=180°

m∠K=180°-119°

m∠K=61°

Part 4) Find the measure of angle L

we know that

m∠L≅m∠N ----> by opposite angles

we have

m∠N=119°

therefore

m∠L=119°

Part 5) Find the measure of angle M

we know that

m∠M≅m∠K ----> by opposite angles

we have

m∠K=61°

therefore

m∠M=61°

7 0

4 years ago

-4x-2y=-12 solve the system of equations

Blababa [14]

Um there needs to be another equation

3 0

3 years ago

I need the surface area of this shape EASY POINTS Explain your answer

Alexus [3.1K]

Hi there! :)

So, to find the surface area, all you need to do is find the area of each surface on the shape.

Theres 5 different shapes in the model, so you're going to need to find the area of each one.

There is:

1. left side triangle

2.right side triangle

3.slanted rectangle

4.bottom rectangle

5. back rectangle

all the rectangles are simple, so let's start with them.

the dimensions of the slanted rectangle are 7m and 8m, so 8•7 is 56.

the dimensions of the bottom rectangle are 5m and 7m, so its 35.

the back rectangle has 5m and 7m so it is 35.

Halfway done!!

Now, onto the triangles. they're the same thing as the rectangles, but you half to 'cut it in half' or just divide by two. both of the triangles will be the same.

the triangles measurements are 5m and 8m, so 5•8 is 40, 40÷2 is 20. both of the triangles being 20, now all we have to do is add it up.

20+20+35+35+56=166

and that's about it!

I hope this helps, sorry it took so long to answer, but I hope you have a good day!

-Scarlet

(see photo for my paper work)

{CHECK REPLIES!}

5 0

3 years ago

Draw a box-and-whisker plot for the set of data. 27, 35, 44, 51, 52, 54, 56, 69, 69, 79, 80, 100, 100 a. Please select the best

Finger [1]

look at the picture not my text lol

6 0

3 years ago

Read 2 more answers

I NEED HELP WITH ME MATH

ruslelena [56]

ok so lets start of with the fact that the whole thing is 21 units.

So we do 21-9=12 so then we now know that the rectangle is 12 so then we do 12*8 units which is= 96 . Now the triangles. so the first one we know that its 8*3 and times it by 1/2 because two triangles is equal to a rectangle so the first triangle is 12 and now the second. its 9-3= 6 then its 6*8*1/2 which is equal to 24 so now the final answer is

96+12+24 which is equal to 132 so i'm guessing it 132 square units

5 0

3 years ago