In a parallelogram, if the measure of y is 32 degrees what is the measure of w

Answers

Answer 1

Answer: Talking about a parallelogram, we know that:
opposite sides and angles are congruent
in the picture below:
∠A = ∠C
AD = BC
if one angle is right, then the rest are right as well (making it a rectangle/square)
The consecutive angles are supplementary (meaning they add up to 180)
A + D = 180°

If y and w are consecutive angles, then
w = 180 - 32
=148°
If they are opposite angles, w = 32° (congruent angles)

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Town Hall is located 4.3 miles directly east of the middle school. The fire station is located 1.7 miles directly north of Town Hall.Part A

What is the length of a straight line between the school and the fire station? Round to the nearest tenth.

Part B

The hospital is 3.1 miles west of the fire station. What is the length of a straight line between the school and the hospital? Round to the nearest tenth.

Answers

Answer:

a. The length of a straight line between the school and the fire station is 4.6 miles

b. The length of a straight line between the school and the hospital is 2.1 miles

Step-by-step explanation:

See attachment

Given.

Distance between the school and the town hall = 4.3 miles directly east

Distance between the fire station and the town hall = 1.7 miles directly north.

The length of a straight line between the school and the fire station is calculated by solving the length of hypotenuse of the right angled triangle (see attachment A)

Using Pythagoras theorem;

x² = 1.7² + 4.3²

x² = 2.89 + 18.49

x² = 21.38 --- Take square roots

x = 4.6 miles

The length of a straight line between the school and the fire station is 4.6 miles

The length of a straight line between the school and the hospital is calculated by solving the length of hypotenuse of the right angled triangle (see attachment B)

Using Pythagoras theorem;

x² = 1.7² + 1.2²

x² = 2.89 + 1.44

x² = 4.33 --- Take square roots

x = 2.1 miles

The length of a straight line between the school and the hospital is 2.1 miles

Is it necessary to add a zero after 1.08 to find the sum

Answers

brian has 9 14 ounce bags of popcorn to repack and sell at the school fair. a small bag holds 3 ounces.how many small bags can he make

1/x + 1/y = 3/5. What are the denominators x & y

Answers

Answer:

x = 5y over 3y-5

y = 5x over 3x-5

hope this helps

(7x-y=7
(x+2y=6 estimate the solution to the system of equations

Answers

Answer:

x=4/3; y=7/3

Step-by-step explanation:

x+2y=6,

x=6-2y.

7(6-2y)-y=7,

42-14y-y=7,

15y=35,

y=7/3.

x+2y=6,

x+2*7/3=6

x=4/3

∴x=4/3, y=7/3.

Final answer:

To estimate the solution to the system of equations (7x-y=7) and (x+2y=6), we can use the method of substitution. The estimated solution is x = 1.46 and y = 2.27.

Explanation:

To estimate the solution to the system of equations (7x-y=7) and (x+2y=6), we can use the method of substitution. We can solve one equation for one variable and substitute it into the other equation. Let's solve the second equation for x: x = 6 - 2y.

Substituting this value of x into the first equation, we get:

7(6 - 2y) - y = 7

42 - 14y - y = 7

41 - 15y = 7

-15y = 7 - 41

-15y = -34

y = -34 / -15

y = 2.27

Now, substitute this value of y back into the second equation to find x:

x + 2(2.27) = 6

x + 4.54 = 6

x = 6 - 4.54