A rectangle and a parallelogram have the same base and the same height.

Help me please ;-;!!!!! Use a coordinate grid to create a map of a town with at least five different locations, such as a house,

Sholpan [36]

A. Our diagram have six location: my house (2,1), a movie theater (5,3), the school (6,6), the police station (3,-2), the airport (-3,3), and the mall (-2,-3)

B. Distance between my house and the movie theater:
To calculate the distance we are going to use the points (2,1) and (5,3) to create a right triangle with tow legs of measures 3 and 2; the hypotenuse of the right triangle will be the distance between my house and the movie theater.
Using the Pythagorean theorem:
$d^2=3^2+2^2$
$d^2=9+4$
$d^2=13$
$d= \sqrt{13}$
We can conclude that the distance between my house and the movie theater is $\sqrt{13}$

Our second distance is the distance between the police station and the airport:
This time we are using the points (3,-2) and (-3,3) to create a right triangle with legs of measures 6 and 5; the hypotenuse of our triangle will be the the distance between our points:
$d^2=6^2+5^2$
$d^2=36+25$
$d^2=61$
$d= \sqrt{61}$
We can conclude that the distance between the police station and the airport is $\sqrt{61}$

C. Distance form the park to the Fire Station:
$d^2=3^2+1^2$
$d^2=9+1$
$d^2=10$
$d= \sqrt{10}$
We can conclude that the distance from the park to the Fire Station is $\sqrt{10}$

Distance from the stadium to the mall:
$d^2=2^2+1^2$
$d^2=4+1$
$d^2=5$
$d= \sqrt{5}$
We can conclude that the distance from the stadium to the mall is $\sqrt{5}$

D. What is the distance between your house and the mall?
Answer:
$d^2=4^2+4^2$
$d^2=16+16$
$d^2=32$
$d= \sqrt{32}$
$d=4 \sqrt{2}$
We can conclude that the distance between my house and the mall is $4 \sqrt{2}$

What is the distance between the movie theater and the school?
answer:
$d^2=3^2+1^2$
$d^2=9+1$
$d^2=10$
$d= \sqrt{10}$
We can conclude that the distance between the movie theater and the school is $\sqrt{10}$

7 0

3 years ago

The distance between London and Cardiff is 150 miles. <br> what is the distance in kilometers?

Tanya [424]

241.402 kilometers

Hope Your Thanksgiving Goes Well, Here's A Turkey

-TheKoolKid1O1

3 0

3 years ago

Read 2 more answers

Please help with this question. I need an answer ASAP!! I need help! I don't understand this!

Romashka-Z-Leto [24]

Answer: 42°

<u>Step-by-step explanation:</u>

HJ is an angle bisector of ∠IHK so

∠IHJ ≅ ∠KHJ ⇒ m∠IHJ = m∠KHJ

3a + 6 = 5a - 18

6 = 2a - 18

24 = 2a

12 = a

∠IHJ = 3a + 6

= 3(12) + 6

= 36 + 6

= 42

8 0

3 years ago

How do I solve problem 10?

Grace [21]

If you extend the line from 1 through the parallel line you create a transversal and a triangle.

Consecutive angles inside the parallel lines are supplementary therefor the exterior angle of the triangle on the left side measures 118 degrees. This angle creates a linear pair with the left base angle therefore that angle measures 62 degrees.

144 forms a linear pair with the right base angle of the triangle making its measure 36 degrees.

The third angle of the triangle would then measure 82 degrees. Finally this third angle forms a linear pair with angle 1 making angle 1 measure 98 degrees.

6 0

3 years ago

NEED HELP ON THIS QUESTION ASAP

Katarina [22]

Answer:

Step-by-step explanation:

A+B+C+D=360

A=180 as it half of the circle

B+C+D=180

60+C+90=180

150+C=180

C=180-150=30

The fraction of the circle to region C

30/180=1/6

8 0

4 years ago

Read 2 more answers