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melamori03 [73]
2 years ago
14

The vertices of a parallelogram are A(x1, y1), B(x2, y2), C(x3, y3), and D(x4, y4). Which of the following must be true if paral

lelogram ABCD is proven to be a rectangle?

Mathematics
1 answer:
myrzilka [38]2 years ago
5 0

Answer:

Option 3.

Step-by-step explanation:

A parallelogram is said to be a rectangle if

1. Opposite pair of lines are equal and parallel

2. Adjacent lines meet each other at 90 degrees.

Hence we have third option which satisfies both the conditions.

You might be interested in
130 students choose to attend one of three after school activities: football, tennis or running. There are 58 boys. 49 students
cestrela7 [59]

Answer:   \dfrac{27}{65}

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

There are 130 students.

There are 58 boys --> 72 girls

A) 49 chose football: 27 are girls --> 22 are boys

B) 72 girls: 24 chose running, 27 chose football --> 21 girls chose tennis

C) 27 students chose tennis: 21 are girls --> 6 are boys.

D) 58 boys: 22 chose football, 6 chose tennis --> 30 boys chose running.

\large\boxed{\begin{array}{l|cc||c}&\underline{Boys}&\underline{Girls}&\underline{Total}\\Football&22&27&49\\Tennis&6&21&27\\\underline{Running}&\underline{\quad 30\quad}&\underline{\quad 24\quad}&\underline{\quad 54\quad}\\Total&58&72&130\end{array}}

Total running = 30 boys + 24 girls = 54

Total students = 130

\dfrac{\text{Total running}}{\text{Total students}}=\dfrac{54}{130}\quad \rightarrow \large\boxed{\dfrac{27}{65}}

8 0
2 years ago
What is the expanded form of this number?<br><br> 503.208<br> (Trying to help my sister do math!)
Blababa [14]

Answer:

500+3+ .200+.008

Step-by-step explanation:

You add 500 and 3 then after you get your number add .200 lastly add .008.

when expanding numbers you need to know what place value it's in so that you k ow where to put the zeros.

3 0
2 years ago
A manatee dives at a rate of 4 feet per second. What integer represents the change in the manatee’s position after 20 seconds?
ruslelena [56]

Answer:

i am just trying so 4 x20=80 feet

Step-by-step explanation:

i am not sure what is an integer i havent learned it yet.

6 0
1 year ago
Two types of flares are tested and their burning times are recorded. The summary statistics are given below: n = 35 n = 40 = 19.
marusya05 [52]

Answer:

C. 3.8 min < ?X - ?Y < 4.8 min

Step-by-step explanation:

Let both flares be X and Y

For X

n1 = 35

Bar x1 =19.4

D1 = 1.4

For Y

n2 = 40

Bar X2= 15.1

S2 = 0.8

√(x1²/n1) + (x2²/n2)

=√ (1.4²/35)+(0.8²+40)

= 0.2683

Critical value, t = 2.032

We now have to calculate margin of error

0.2683x2.032

= 0.545 this is approximately equal to 0.5

Bar x1 - bar X2

= 19.4 - 15.1

= 4.3

At 95% confidence level

4.3+-0.5

4.3+0.5= 4.8

4.3-0.5 = 3.8

Therefore the answer is 3.8min<X-Y<4.8min

5 0
1 year ago
Draw a graph of the rose curve. r = -3 sin 5θ, 0 ≤ θ ≤ 2π
kaheart [24]
Tada, Its on the Image. Hoped I helped :)

5 0
2 years ago
Read 2 more answers
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