In PQRS, PR and QS intersect at T. What additional information is needed to conclude that PQRS is a rectangle

Answers

Answer 1

Answer: If it's congruent and similar

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Im new at this and im still kinda confused.
Tina solved an equation incorrectly, as shown below:Step 1: 8x = 24 Step 2: x = 24 − 8 Step 3: x = 16 Which statement best explains why Step 2 is incorrect in Tina's solution? She did not divide 24 by 8. She did not add 8 to 24. She did not multiply 24 by 8. She did not multiply 24 eight times
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How many equal sides does a rhombus have

Answers

a rhombus has two equal sides

Form a union for the following sets. K = {2, 3, 5, 8}
L = {3, 5, 7}
a. { }
b. {3, 5}
c. {2, 3, 5, 7, 8}
d. {2, 7, 8}

Answers

Union of the represented sets should include all the sets without repetition
Here is an example for substituton $A= {1,2,3} B={3,4,5} A union B = {1,2,3,4,5}$ . So, logically, the answer is c. {2, 3, 5, 7, 8}

AuBuCuDuKuL={2,3,5,7,8}

Shane has a segment with endpoints C(3, 4) and D(11, 3) that is divided by a point E such that CE and DE form a 3:5 ratio. He knows that the distance between the x-coordinates is 8 units. Which of the following fractions will let him find the x-coordinate for point E?a. $(3)/(5)$ b. $(5)/(3)$
c. $(3)/(8)$
d. $(5)/(8)$

Answers

B=5/3 is the answer.........

Complete the equation of the line through (4,-8)(4,−8)left parenthesis, 4, comma, minus, 8, right parenthesis and (8,5)(8,5)left parenthesis, 8, comma, 5, right parenthesis. Use exact numbers. y=y=y, equals

Answers

Answer:

y=13/4 x -21

or in khan 13/4x - 21

GIMMIE BRAINLIEST OR SOMETHING

Work:

Slope = 5-(-8)/(8-4)

=13/4

So the equation is y=13/4x + b

plug it in and the equation is

y=13/4 x -21

Answer:

13/4 x-21

Step-by-step explanation:

12x+5y==13-24x-5y=-11

-2x+4y=32
-5x-10y=-20

12x+12y=36
-8x-8y=-8

solve and explain

Answers

12x+5y=13 is y=13/5-12/5x
-24y-5y=-11 is y=-11/-5+(24/-5)x

-2x+4y=32 is y=32/4+2/4x
-5x-10y=-20 is y= -20/-10+(5/-10)x

12x+12y=36 is y=36/12-12/12x
-8x-8y=-8 is y=-8/-8+(8/-8)x

1. 12x + 5y = 13
-24x - 5y = -11

First Add these equations to cancel out the y value so we can find the x value.
(12x + 5y = 13) + (-24x - 5y = -11)
= -12x + 0y = 2
Now we are left with the equation -12x = 2
Next divide both sides by -12 and x = -1/6
Now plug x into any of the original two equations to find the y-value.

12(-1/6) + 5y = 13
-2 + 5y = 13
5y = 15
y = 3

or
-24(-1/6) - 5y = -11
4 - 5y = -11
-5y = -15
y = 3

Sp, x = -1/6 and y = 3

2.-2x + 4y = 32
-5x - 10y = -20

First, lets simplify both of the equations.

(-2x + 4y = 32) / -2 = x - 2y = -16
(-5x - 10y = -20) / -5 = x + 2y = 4

Now we have the two equations:

x - 2y = -16
x + 2y = 4

Subtract the equations from each other to cancel out the 'x'.
(x - 2y = -16) - (x + 2y = 4)
= -4y = -20

-4y = -20
Divide by -4
y = 5

Now plug 5 in for y in the equations:

x - 2y = -16
x + 2y = 4

x - 10 = -16
x = -6

x + 10 = 4
x = -6

So , y = 5, and x = -6

3. 12x + 12y = 36
-8x - 8y = -8

Lets also simplify the equations.

(12x + 12y = 36) / 12 = x + y = 3
(-8x - 8y = -8) / -8 = x - y = 1

Right off the bat you can say that x = 2 and y = 1.

2 + 1 =3
2 - 1 = 1

But mathematically:

Subtract both equations

(x + y = 3) - (x - y = 1)
= 2y = 2

2y = 2
y = 1

x + 1 = 3
x = 2

x - 1 = 1
x = 2

So x = 2 and y = 1;

The Jack In The Box franchise in Bangor, Maine, has determined that the chance a customer will order a soft drink is 0.90. The probability that a customer will order a hamburger is 0.60. The probability that a customer will order french fries is 0.50.The restaurant has also determined that if a customer orders a hamburger, the probability the customer will also order fries is 0.80. Determine the probability that the order will include a hamburger and fries.0.58
0.48
0.45
0.68

Answers

Answer: 0.48

Step-by-step explanation:

Given : The probability that a customer will order a hamburger P(H)= 0.60.

The probability that a customer will order french fries P(F)= 0.50.

The restaurant has also determined that if a customer orders a hamburger, the probability the customer will also order fries : P(F|H)= 0.80.

Using conditional probability formula , for any event A (first event) and B (second event), we have:-

$P(B|A)=(P(A\cap B))/(P(A))\n\n\Rightarrow\ P(A\cap B)=P(A)*P(B|A)$

Similarly, the probability that the order will include a hamburger and fries :-

$P(H\cap F)=P(H)* P(F|H)\n\n=0.60*0.80\n\n=0.48$

Hence, the probability that the order will include a hamburger and fries=0.48

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In a deck of 52 cards, there are 13 different card values, and each card value appears in 4 suits. If you pull one card out of a deck of cards, what is the probability you will draw a 7?A.1/4B.1/13C.7/52D.17/52

Two rectangles are similar. One has a length of 14 cm and a width of 9 cm, and the other has a width of 3 cm. Find the length of the second rectangle. Round to the nearest tenth if necessary.1.9 cm 4.7 cm 5.4 cm 3.5 cm