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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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Find the distance from point A to the given line.

VMariaS [17]

Answer:

Let's see what to do buddy...

Step-by-step explanation:

_________________________________

Step (1)

To find the distance between the line which formed like :

$ax + by + c = 0$

and the point which is like :

$h = \binom{m}{n} \\$

we use following equation :

$d = \frac{ |a(m) + b(n) + c| }{ \sqrt{ {a}^{2} + {b}^{2} } } \\$

_________________________________ Step (2)

$y = - x + 4$

$x + y - 4 = 0$

So ;

$a = 1$

$b = 1$

$c = - 4$

°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°

A = ( 2 , - 1 )

°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°

So we have :

$d = \frac{ | \: 1(2) + 1( - 1) - 4| }{ \sqrt{ {1}^{2} + {1}^{2} } } = \\$

$d = \frac{ |2 - 1 - 4| }{ \sqrt{1 + 1} } = \frac{ | - 3| }{ \sqrt{2} } \\$

$d = \frac{3}{ \sqrt{2} } \\$

_________________________________

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

5 0

3 years ago

Special precision bolts are made by another machine. These are for jobs that require more exact measurements. The bolts must be

zalisa [80]

The absolute value of a number $x$ is the positive version of that number. So, if $x$ is positive, its absolute value is $x$ itself. If $x$ is negative, its absolute value is $-x$ , so that it will be positive again.

So, if the absolute value of a number is smaller than a certain quantity, i.e. $|x|$ it means that the positive version of $x$ is less than $a$ .

So, if $x$ is positive, the inequality becomes $x$ . If $x$ is negative, the inequality becomes $-x-a$ .

So, as a compound inequality, we have

$|x|$

So, in your case, we have

$|x-8|$

Add 8 to all sides in this inequality:

$8-0.01 < x < 8+0.01 \iff 7.79 < x$

So, on a number line, you must higlight all numbers between 7.79 and 8.01, endpoints excluded.

Conceptually, this means that the bolt measurement should be exactly 8mm, but you can accept bolts that are 0.01 millimeters shorter of larger.

7 0

3 years ago

The function BN equals 6n represents the number of light bulbs BN that are needed for n chandeliers how many light bulbs are nee

zepelin [54]

BN =6n

n = chandeliers

you have 15 chandeliers so n = 15

so BN = 6(15)

BN = 90

you will need 90 light bulbs

8 0

4 years ago

Mira drove 180 miles in 3 hours. If she drove at a constant speed, what speed was she driving?

denpristay [2]

Answer:

The answer is 60

Step-by-step explanation:

if she drove 180 mile in 3 hours, you have to divide 180 by 30 to find the constant rate. 180 divided by 3 is 60

5 0

3 years ago

En un censo realizado en escuelas de enseñanza media superior de un municipio, participaron 8 escuelas que indicaron la cantidad

Harrizon [31]

Answer:

In a census carried out in upper secondary schools in a municipality, 8 schools participated, indicating the number of students who graduated in a given year. The data is shown in the following graph and according to this, what was the average number of graduated students?

Step-by-step explanation:

This is what it says in english

7 0

3 years ago