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4 years ago

Is lmn congruent to opq if so name the postulate

Mathematics

1 answer:

insens350 [35]4 years ago

5 0

Answer:

Option (A)

Step-by-step explanation:

Given:

LM ≅ OP

MN ≅ PQ

∠M ≅ ∠P

To Prove:

ΔLMN ≅ ΔOQP

Statements Reasons

1). LM ≅ OP 1). Given

2). MN ≅ PQ 2). Given

3). ∠P ≅ ∠M 3). Given

4). ΔLNM ≅ ΔOQP 4). By the SAS postulate of congruence.

[Side - Angle - Side]

Therefore, Option (A) will be the answer.

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Triangle DAN is graphed on the set of axes below.

riadik2000 [5.3K]

Answer:60

Step-by-step explanation:

3 0

3 years ago

In a sociology class there are 1414 sociology majors and 1111 non-sociology majors. 33 students are randomly selected to present

saul85 [17]

Answer: $0.4065$

Step-by-step explanation:

Given : In a sociology class there are 14 sociology majors and 11 non-sociology majors.

Total students = 14+11=25

Number of students are randomly selected = 3

Then, the number of ways to select 3 students from 25 students :-

$^{25}C_3=\dfrac{25!}{(25-3)!3!}=\dfrac{25\times24\times23\times22!}{22!3!}\\\\=2300$

Number of ways to select at least 2 of the 3 students re non-sociology majors :-

$^{14}C_1\times^{11}C_2+^{14}C_0\times ^{11}C_{3}\\\\=(14)\times\dfrac{11!}{2!(11-2)!}+(1)\times\dfrac{11!}{3!(11-3)!}\\\\=(14)(11\times5)+\dfrac{11\times10\times9}{6}\\\\=770+165=935$

The probability that at least 2 of the 3 students selected are non-sociology majors will be :-

$\dfrac{935}{2300}=0.40652173913\approx0.4065$

8 0

4 years ago

your friend gives you a hint by telling you that a tank is located 10 units from the origin. tanks can be positioned only at who

Aleks [24]

Answer:

(10,0), -(10,0) (0,10) and (0.-10)

Step-by-step explanation:

7 0

4 years ago

Helpppp please!!!!!!!!!!

hram777 [196]

Answer:

128.86 cm^2

Step-by-step explanation:

So to start off we need to find the area of the rectangle.

The formula for the area of a rectangle is $l$ × $w$ .

L stands for the length which is 12 and w is the width which is 11.

So 11 × 12 = 132 cm^2.

Now time for the area of a circle.

The formula for that is $\pi r^{2}$ .

So first we need to do 1 × 1 which is 1.

Then 1 × $\pi$ which is just $\pi$ .

Then we do 132 - $\pi$ which is an irrational number.

It looks like this shortened 128.858407346.

Now rounding to the nearest hundreth it would be 128.86 cm^2.

Hence, the area of the shaded region is 128.86 cm^2.

8 0

3 years ago

Rationalize the expression. Write it in simplest form.<br><br> 9x/√-2x-11

GenaCL600 [577]

This appears to be just an expression we are simplifying, not an equation we are solving. I THINK you are saying that the expression looks like this:
$\frac{9x}{ \sqrt{-2x-11} }$
If you rationalize the denominator, you would get this expression:
$\frac{9x}{ \sqrt{-2x-11} } * \frac{ \sqrt{-2x-11} }{ \sqrt{-2x-11} }$
which, after simplifying, looks like this:
$\frac{9x \sqrt{-2x-11} }{-2x-11}$
and that's as simple as I can see that one getting. You can't factor anything out of the denominator to cancel with the numerator, so I think you're as simple as you can get there!

3 0

3 years ago