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3 years ago

Can you conclude that this parallelogram is a rectangle? Explain.

Mathematics

2 answers:

Angelina_Jolie [31]3 years ago

8 0

Answer:

Yes, the diagonals are congruent

Step-by-step explanation:

A triangle is a special kind of a parallelogram that has congruent sides. The sides are congruent as they have the same lengths and and angles of bisection.

In other words, the vertically opposite angles will be equal as well.

Since the angles corresponding to the sides of the vertically opposite angles are equal, it means that the sides are also congruent.

Doing a measurement with a protractor proves that the angles formed by the perpendicular lines will be right angles.

maxonik [38]3 years ago

5 0

I think it yes the diagonals are congruent but I can’t really tell

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12 belongs to which set(s) of numbers?o Natural Numbers, Whole Numbers, and Integers onlyNatural Numbers and Whole Numbers onlyo

erastova [34]

Integers are written without no fractional components so 12 is an integer .

Natural numbers are positive numbers just like the number we count. 12 is a natural number.

Rational numbers

3 0

11 months ago

OH NO!!! Madeleine’s data has been corrupted, again! Using the incomplete data file below, which she was able to recover from he

-Dominant- [34]

Answer:

a. N=25

b. X[bar]= 60.52

c. Y[bar]= 106.72

d. SSx= 115.24

e. ∑X*∑Y = 4036684

f. SSxy= 202020.3296

g. √(SSx*SSy)= 449.46

Step-by-step explanation:

Hello!

Using the attached data you need to calculate some statistics.

a) N

The sample size is listed under the first column "subject" You can see that 25 subjects qhere studied so N=25.

The mean of set X is equal to X[bar]= ∑X/n= 1513/25= 60.52

∑X is listed in the second table.

The mean of ser Y is Y[bar]= ∑Y/n= 2668/25= 106.72

∑Y is listed in the second table.

Sum of Squares of set X SSx= ∑X²-[(∑X)²/n]= 91682-[(1513)²/25]= 115.24

∑X*∑Y =1513*2668= 4036684

SSxy= (∑X²-[(∑X)²/n]) * (∑Y²-[(∑Y)²/n])= (91682-[(1513)²/25]) * (286482*[(2668)²/25])= 202020.3296

√(SSx*SSy)= √(115.24*1753)= 449.46

I hope you have a SUPER day!

3 0

3 years ago

Can someone help me find x.

Harman [31]

Answer:

Step-by-step explanation:

6x+9=63

6x=63-9

6x=54

x=54/6

x=9

I encourage you to figure out the justification yourself.

8 0

3 years ago

Find the product. (-3ab2)3 -27 a3b6 -9 a3b5 -23 a2b2 27 ab

7nadin3 [17]

Answer:

a) -27 a³ b⁶

Step-by-step explanation:

Explanation:-

Given ( -3 ab² )³

By using (ab )ⁿ = aⁿ bⁿ

( -3 ab² )³ = (-3)³ a³ (b²)³

Again , using formula $(a^{m} )^{n} = a^{mn}$

= -27 a³ b⁶

6 0

2 years ago

In ΔMNO, m = 780 inches, o = 760 inches and ∠O=164°. Find all possible values of ∠M, to the nearest degree.

Mademuasel [1]

Answer:

So the answer is both

180 and 328 (but it may or may not show you "not possible, if so, then you got it right)

Step-by-step explanation:

SinA/a= SinB/b

1. SinM/780 = Sin164/760

2. 780sin164/760 = 0.2828909704

3. M = sin^-1 (0.2828909704)= 16.4328229 or 16

Check for possibility

180-16= 164

164 + 16= 180 (not possible)

164 + 164= 328 (not possible)

4 0

2 years ago

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