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Aleks [24]
3 years ago
15

What is m<KNL? Enter your answer in the box​

Mathematics
1 answer:
steposvetlana [31]3 years ago
3 0

The measurement of ∠KNL   is 102°

First, you must set up an equation to find x.

5x+2=[3(x+14)

Then, you must simplify both sides of the equation.

5x+2=3x+42

Next, subtract 3x on both sides.

2x+2=42

Then, subtract 2 on each side.

2x=40

Next, divide 2 on each side.

x=20

Now that we have the value of x, we can substitute it in for angle KNL.

[3(20+14)]

[3(34)]

102

102°

You might be interested in
Which method would you use to prove that the two triangles are congruent?
Alona [7]

Answer:- AAS postulate


Explanation:-

  • AAS postulate tells that if two angles and a non-included side of a triangle to equal to the two angles and a non-included side of another triangle then the two triangles are said to be congruent.

Given:- One angle and one side of a triangle is equal to the one angle and one side of the other triangle.

We see there is one more pair of equal angles as they are vertically opposite angles . [See the attachment]

⇒ there is a triangle where two angles and a non-included side of a triangle to equal to the two angles and a non-included side of another triangle then the two triangles are said to be congruent.

⇒ The triangles are congruent [ by ASA postulate]


6 0
4 years ago
What is the area of the composite figure shown
Greeley [361]
So, We Know That The Figure Shown Is A Square. So, We Need To Find The Area:
70*70 = 4900.

So, We Have:
490 - (Area Of The Triangle) = A

So, Lets Find The Area Of The Triangle. 

(35*70)/2
Well, 35*70 = 2450.
So:
2450/2 = 1225.

Now, Do:

4900 - 1225 = A

4900 - 1225 = 3675

So: 
3675cm² = A
8 0
3 years ago
A: A circle has a circumference of 45 cm. What is the BEST estimate of the circle’s diameter?
dedylja [7]

Answer:

14

Step-by-step explanation:

d=c/pi

45/pi=14

6 0
3 years ago
Read 2 more answers
Please help me on this
Stolb23 [73]

Answer:

AX = 14

Step-by-step explanation:

The medians of a triangle intersect at its centroid.

The position of the centroid X from the vertex A is

AX = \frac{2}{3} AL = \frac{2}{3} × 21 = 14

5 0
3 years ago
Family has an annual income of ​$23 comma 400. Of​ this, one fourth
denis23 [38]

Amount spent for food = $5850, housing = $4680, clothing = $2340, savings = $2600, taxes = $5850, expenses = $2080.

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

Step 1:

Given details are Total Income = $23,400

Step 2:

Amount spent for food, F= 1/4th of 23,400 = 1/4 \times 23400

= $5850

Step 3:

Amount spent for housing, H = 1/5th of 23,400 = 1/5 \times23400

= $4680

Step 4:

Amount spent for clothing, C = 1/10th of 23,400 = 1/10 \times 23400 = $2340

Step 5:

Amount spent for savings, S = 1/9th of 13,400 = 1/9\times 23400 = $2600

Step 6:

Amount spent for taxes, T = 1/4th of 23,400 =  1/4 \times 23400 =$5850

Step 7:

Find amount spent on other expenses by totaling all expenditures and subtracting from the annual income.

Annual Income = F + H + C + S + T + E

Amount spent on other expenses, E = 23400 - (5850 + 4680 + 2340 + 2600 + 5850)

E = 23400 - 21320

E = $2080

5 0
3 years ago
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