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Effectus [21]
3 years ago
12

In the next four questions, complete the proof of the converse of Theorem 37 (The diagonals of a rectangle are congruent.) by se

lecting the best reason or statement.

Mathematics
1 answer:
sweet [91]3 years ago
4 0

Answer:

Step-by-step explanation:

1) WXYZ is a rectangle              1. Given

2) ∠Z ≅ ∠Y                                 2. Definition of rectangle

3)  WZ ≅ XY                              3.  Definition of rectangle

4) ZY ≅ ZY                                 4. Reflexive property

5) ΔWZY ≅ ΔXYZ                      5. SAS

6) WY ≅ XZ               6. CPCT -Corresponding parts of congruent triangles

The diagonals of rectangle are congruent

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Can some please help me with 4 and 7 and show work
seropon [69]

4) 247÷19=13

base is 13in

7)0.2÷0.4=0.5

height is pop. 5in

formula to find area for a parrallelogram is A=b×h

if you need to find base or height the divide area by height or base

7 0
3 years ago
Makayla and Caroline go to the movie theater and purchase refreshments for their friends. Makayla spends a total of $49.00 on 9
gizmo_the_mogwai [7]

Answer:

Let the cost of each popcorn bag be x and cost of each  drink be y

Cost of 9 bags of Popcorn= 9 x

Cost of 8 drinks be = 8 y

Total money spent by Makayla = $ 49

According to Question

9 x + 8 y= 49..................... equation (1)

Similarly , cost of 3 popcorn = 3 x

Cost of 3 drinks= 3 y

Total money spent by Caroline= $ 17.25

According to Question

3 x+ 3 y= $ 17.25...................equation(2)

We can solve above equation by using elimination method

Multiply equation (2) by 3

9 x + 9 y =  51.75..................equation(3)

9 x + 8 y= 49..................... equation (1)

Subtraction equation (1 ) from equation(3)

y = 2.75

put value of y  in any equation (2)

we get

3 x + 3 × 2.75 = 17.25

3 x +   8.25 = 17.25

3 x = 17.25 - 8.25

3 x = 9

x = 3

Hence, cost of each popcorn bag $ 3 cost of each popcorn bag is also $ 3 (approx)

5 0
3 years ago
Which of the following questions describes the equation 4 n = -24?
dangina [55]

3- What number, when multiplied by 4, equals -24?

Hope this helps. :)

4 0
3 years ago
Rewrite the division as a multiplication 2c + 73<br> 9
kvv77 [185]

Isn't that addition?


5 0
3 years ago
Which shows the correct first step to solving the system of equations in the most efficient manner? 3 x 2 y = 17. X 4 y = 19. X
Shkiper50 [21]

The correct first step to solving the system of equations in the most efficient manner is x = -4y +19.

The given system of equations is;

\rm 3 x + 2 y = 17\\\\x + 4 y = 19

<h2>What is the first step to solving an equation?</h2>

The first step would be to rearrange the variables in the second equation so we have a defined expression for x.

We would want to do this so we could then plug in the defined expression for x into the other equation and solve for the other variable.

x + 4y = 19

Rearrange this by getting the 4y to the other side.

We can get 4y on the other side by subtracting 4y from both sides

x + 4y - 4y = 19 - 4y

x = -4y + 19

Hence, the correct first step to solving the system of equations in the most efficient manner is x = -4y +19.

To know more about the System of equations click the link given below.

brainly.com/question/15240525

4 0
2 years ago
Read 2 more answers
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