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3 years ago

Given: ∠LKM ≅ ∠JKM

Mathematics

2 answers:

Liono4ka [1.6K]3 years ago

7 0

Answer: the ASA Postulate

Step-by-step explanation:

In the given picture , we have two triangles ∆LKM and ∆JKM , in which we have

$\angle{LKM}\cong\angle{JKM}\\\\\angle{LMK}\cong\angle{JMK}$

$\overline{KM}\cong\overline{KM}$ [common]

By using ASA congruence postulate , we have

∆LKM and ∆JKM

ASA congruence postulate tells that if two angles and the included side of a triangle are congruent to two angles and the included side of other triangle then the triangles are congruent.

tigry1 [53]3 years ago

3 0

Answer:

ASA

Step-by-step explanation:

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IgorC [24]

Answer:

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Step-by-step explanation:

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2 years ago

HORIZONBOY what is 2-3/1.5*2

borishaifa [10]

I think the answer is -2

3 0

3 years ago

Write an equation that has one solution, an equation that has no solution,

taurus [48]

Answer:

A linear equation can have no, one or infinite solutions.

Step-by-step explanation:

No Solution:

Consider the equation 8x - 19 = 8x + 19

Subtract 8x from both the sides. We get:

8x - 8x - 19 = 8x - 8x + 19

⇒ - 19 = 19

This is absurd. So, this system of equations has no solution.

One Solution:

For the equation 9x + 5 = 14

⇒ 9x = 9

⇒ x = 1 the only solution to the equation.

Infinite Solutions:

The solution to the equation 3x = 3x are infinite.

Whatever the value of x the equation always remains the same. So, we have infinite values of x that can satisfy the equation.

5 0

3 years ago

Drea and Sajini both worked at a local ice cream shop over the summer. Together, they earned a total of $425. Drea earned $25 mo

Oksi-84 [34.3K]

Answer:

Sajini = 200

Drea = 225

Step-by-step explanation:

d = amount Drea earned

s = amount Sajini earned

Together they earned 425

d+s =425

d = s+25

The system of equations

d+s =425

d = s+25

I will use substitution to solve

Substitute d= s+25 into the first equation

d+s =425

(s+25) + s = 425

Combine like terms

2s+25 =425

Subtract 25 from each side

2s+25-25 =425-25

2s = 400

Divide by 2

2s/2 =400/2

s =200

Sajini = 200

Now we need to find d

d = s+25

d = 200 + 25

d = 225

Drea = 225

7 0

3 years ago

Read 2 more answers

In a music club with 23 members, 10 people played the piano, 9 people played the guitar, and 5 people didn't play either of thes

JulijaS [17]

Answer:

1 member played both instruments.

Step-by-step explanation:

Lets call:

A: the number of people that only play the piano

B: the number of people that played both

C: the number of people that only play the guitar

D: the number of people that didn't play either of these two instruments.

If the music club has 23 members, we can write the following equation:

A + B + C + D = 23 (Equation 1)

At the same way, from the sentences 10 people played the piano, 9 people played the guitar, and 5 people didn't play either of these two instruments, we can write the following equations:

A + B = 10 (Equation 2)

B + C = 9 (Equation 3)

D = 5 (Equation 4)

So, replacing equation 2 and 4 on equation 1 and solving for C, we get:

(A+B) + C + D = 23

10 + C + 5 = 23

C + 15 = 23

C = 23 - 15

C = 8

Then, replacing the value of C on equation 2 and solving for B, we get:

B + C = 9

B + 8 = 9

B = 9 - 8

B = 1

Finally the number of club members that played both the piano and the guitar is 1 person.

3 0

3 years ago