What is m∠KNL? Enter your answer in the box. ° A horizontal line segment M K intersects with line segment J L at their midpoint N. The upward-left and downward-right angles formed by these lines are obtuse. The upward-left obtuse angle is labeled left parenthesis 5 x plus 2 right parenthesis degrees. The downward-right acute angle is labeled left square bracket 3 left parenthesis x plus 14 right parenthesis right square bracket degrees.

Answers

Answer 1
Answer:

t N.

In the figure shown below

Answer:

A horizontal line segment M K intersects with line segment J L at their midpoint N.

∠J N M =(5x+2)°

∠ LN M=3( x+ 14)°

So, ∠J N M + ∠ LN M =180°[ These two angles form linear pair.Angles forming linear pair are supplementary.]

⇒5 x+ 2+ 3 (x+ 14) =180 [ By Substitution]

⇒ 5 x+2 +3 x+42°= 180°

⇒ 8 x=180°-44°

⇒8 x= 136°

⇒x= 136°÷8

⇒x=17°

So, ∠J N M =5×17 +2=87°

∠ LN M= 3×(17 +14)=3×31=93

∠J N M =∠K N L [Vertically opposite angles]

∠K N L=87°


Answer 2
Answer:

Answer:

The measure of \angle KNL = 87\°

Step-by-step explanation:

According to the below diagram,  horizontal line segment MK intersects with JL at their midpoint N.

So,  \angle JNM = \angle KNL  (As they are vertical angles)

Given that,  \angle JNM = (5x+2)\° and  \angle MNL = [3(x+14)]\°

As they are adjacent angles and points J, N and L are co-linear, so  \angle JNM +\angle MNL = 180\°

That means.......

(5x+2)+3(x+14)=180\n \n 5x+2+3x+42=180\n \n 8x+44=180\n \n 8x=180-44=136\n \n x=(136)/(8)=17

Thus,  \angle KNL =\angle JNM= (5*17+2)\° = 87\°


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WILL GIVE BRANLIEST TO WHOEVER ANSWERS FIRST

Answers

Answer:

1/2 *b *h = (9*18)/2 = 81

Step-by-step explanation:

Area of a triangle is 1/2 * B * H

B is 18

H is 9

162 / 2 = 81

Answer:

81

Step-by-step explanation:

Formula: 1/2BH

B = length of base

H = height

1/2(18)(9) = 81

3. Which word in the sentence is a common noun? She read a book about Abraham Lincoln. A. Abraham Lincoln B. she C. read D. book

Answers

I guess the anwer is book

How many different three-person relay teams can be chosen from six students?

Answers

The first person can be any one of 6.
                 For each of those . . .
The second person can be any one of the remaining 5.
                 For each of those . . .
The third person can be any one of the remaining 4.

 Total number of ways to pick 3 people out of 6 = (6 x 5 x 4) = 120 ways.

BUT . . .

For each 3-person team, there are (3 x 2 x 1) = 6 ways to pick
the same three people.

In the 120 ways to pick 3 people, you'll find each different
group of 3 people picked 6 times, in a different order.

The number of different 3-person teams is

                         120 / 6  =  20 teams .

Which of the following is a radical equation?
x+/5=12
x^2=16
3+x/7=3
7/x=14

Answers

Answer:

The second one

Step-by-step explanation:

a book store bought 160 copies of a book from the publisher for $4,000. If the store gives away 2 books, how much money will it lose?

Answers

4000 divide by 160 to get the cost of each book 
4000 / 160 = 25
So that's £25 per book, multiply that by two because they gave two away which is £50 so they lost £50
we think like each other i was about to put that

there are 13 animals in a barn. some are ducks and some are pigs. there are 40 legs in all. how many of each animal are there?

Answers

Let X be chickens
Let Y be pigs,
then x+y=13
the animals have 2x+4y legs,
 so 2x+4y=40
The system of the equations
[X+y=13
[2x+4y=40
Divide the second equation by 2
[x+y=13
[x+2y=20
subtract the first equation from the second one
y=20-13
y-7 pigs
substitute y=7 into the first equation
x+7=13
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x=6 chickens