Find the value of x

Is ∆JKL ≅ ∆KJM ? Justify your answer below.

makkiz [27]

Answer:

Yes, the triangles are congruent by ASA

Step-by-step explanation:

we know that

If any two angles and the included side are the same in both triangles, then the triangles are congruent by Angle-Side-Angle (ASA)

In this problem

LK=MJ

∠KLJ=∠KMJ

∠LKJ=∠MJK

so

Two angles and the included side is equal in triangle JKL and triangle KJM

therefore

JKL≅KJM ----> by ASA

4 0

3 years ago

Read 2 more answers

The sum of three consecutive integers is −42. find the three integers.

erica [24]

Let the integers be x - 1, x and x + 1, then
x - 1 + x + x + 1 = -42
3x = -42
x = -42/3 = -14

The three consectutive integers are -15, -14 and -13

4 0

4 years ago

Can anyone pls help with this ASAP!!! :((

MrRissso [65]

Answer: I believe your answer is C.

7 0

3 years ago

Read 2 more answers

She used a graphing tool to display the data in a scatter plot, with x representing the number of ice cubes and y representing t

azamat

The glass will contain <u>89.086 milliliters</u> of juice with 7 ice cubes, using the equation of the line of best fit, y = -29.202x + 293.5.

In the question, we are informed that the equation of the line of best fit, for the, scatter plot with x representing the number of ice cubes and y representing the milliliters of juice is given as y = -29.202x + 293.5.

We are asked to tell how many milliliters of juice will be in a glass with 7 ice cubes based on the line of best fit.

To find the milliliters of juice in the glass with 7 ice cubes, we substitute x = 7, in the equation of the line of best fit, to get a value of y, representing the milliliters of juice in the glass.

Thus,

y = -29.202x + 293.5,

or, y = -29.202(7) + 293.5 {Substituting x = 7},

or, y = -204.414 + 293.5,

or, y = 89.086.

Thus, the glass will contain <u>89.086 milliliters</u> of juice with 7 ice cubes, using the equation of the line of best fit, y = -29.202x + 293.5.

Learn more about the equation of the line of best fit at

brainly.com/question/1564293

#SPJ1

4 0

2 years ago

Through (3, 4) and perpendicular to y = (1/3)x - 3

Oksana_A [137]

Answer:3

x

−

2

y

=

7

Explanation:

Write the standard form of the line that goes through

(

3

,

1

)

and is perpendicular to

y

=

−

2

3

x

+

4

.

The equation

y

=

−

2

3

x

+

4

is in slope intercept form

y

=

m

x

+

b

where

m

= slope and

b

= the

y

intercept.

The slope of this line is then

m

=

−

2

3

A perpendicular slope is the opposite sign reciprocal. So, we change the sign of

−

2

3

and switch the numerator and denominator.

Perpendicular slope

m

=

3

2

To find the equation of the new line, use the point slope equation

y

−

y

1

=

m

(

x

−

x

1

)

where

m

=

slope and

(

x

1

,

y

1

)

is a point.

The slope is

3

2

and the point is the given point

(

3

,

1

)

.

y

−

1

=

3

2

(

x

−

3

)

a

Distribute

y

−

1

=

3

2

x

−

9

2

Standard form is

a

x

+

b

y

=

c

where

a

,

b

and

c

are integers and

a

is positive.

a

2

(

y

−

1

=

3

2

x

−

9

2

)

a

Multiply the equation by

2

a

2

y

−

2

=

3

x

−

9

−

3

x

a

−

3

x

a

Subtract

3

x

from both sides

−

3

x

+

2

y

−

2

=

−

9

a

+

2

a

+

2

a

a Add 2 to both sides − 3 x + 2 y = − 7 − 1 ( − 3 x + 2 y = − 7 ) a a a Multiply the equation by − 1 3 x − 2 y = 7

3 0

3 years ago