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3 years ago

13

If KL = LM and KJ = JM, find m ∠KJL please, i really need your help!

1 answer:

umka2103 [35]3 years ago

3 0

The triangles are congruent by SAS, so the two angles with 7x and 3x+16 are equal. So

7x=3x+16
4x=16
x=4

So KJL=7(4)=28.

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Solve the following system by any method -8x-8y=0 -8x+2y=-20

iVinArrow [24]

$\fbox{Solution by using Matrix}$

$\text{Linear Equation} = -8x-8y=0 , -8x+2y=-20$

$\text{Rewrite the linear equations above as a matrix}$

$\left[\begin{array}{ccc}8&-8&0\\-8&2&-20\\\end{array}\right]$

$\text{Apply to Row2 : Row2 + Row1}$

$\left[\begin{array}{ccc}8&-8&0\\-8&-6&-20\\\end{array}\right]$

$\text{ Simplify rows}$

$\left[\begin{array}{ccc}8&-8&0\\0&1&10/3\\\end{array}\right]$

$\text{Note: The matrix is now in echelon form.}$ $\text{The steps below are for back substitution.}$

$\text{Apply to Row1 : Row1 + 8 Row2}$

$\left[\begin{array}{ccc}8&0&80/30\\0&1&10/3\\\end{array}\right]$

$\text{ Simplify rows}$

$\left[\begin{array}{ccc}1&0&10/3\\0&1&10/3\\\end{array}\right]$

$\text{Therefore, the solution is}$

$x= \dfrac{10}{3} \ \text{and} \ \ y=\dfrac{10}{3}$

7 0

2 years ago

What is the probability that a resident reports high satisfaction, given that the resident is a renter?

dem82 [27]

Answer:

The probability that a resident reports high satisfaction while the resident is a renter is Option(a) $13.7\%$

Step-by-step explanation:

Given:

Levels of satisfaction

High Medium Low Total

Owners $26$ $34$ $18$ $78$

Renters $15$ $12$ $5$ $22$

Total $41$ $46$ $23$ $110$

The Resident is a renter.

Step 1:

To find the probability that a resident reports high satisfaction.

P(Renter- higher satisfaction)= Higher Satisfaction by render ÷ Total level of satisfaction

$=\frac{15}{110}$

$=0.137$

$13.7\%$ is the probability that a resident reports high satisfaction.

Therefore, Option (a) is a correct answer.

Learn more about Probability, refer:

7 0

2 years ago

HELP FAST I'LL MARK YOU BRAINLIEST

Elden [556K]

Answer:

y = -2x + 12

Step-by-step explanation:

Step 1: find the slope

y = 1/2x + 5

The equation of the line is

y = mx + c

m - slope

m = 1/2

Note : if two lines are perpendicular to the other, both lines are negative reciprocal of each other

m = -2

Step 2 : using a point slope form

y - y1 = m( x - x1)

( 2 , 5)

x1 = 2

y1 = 5

y - 2 = -2( x - 5)

y - 2 = -2x + 10

y = -2x + 10 + 2

y = -2x + 12

The equation of the line is

y = -2x + 12

I dunno the answer so I just found another answer I found in here for this question:P

Sorry- it’s useless

5 0

2 years ago

A farmstand sells bags containing 3 2/3 lb of apples. Elena bought 25 2/3 lb of apples. How many bags of apples did Elena buy?

Tcecarenko [31]

She would've bought 7 bags of apples, I believe.

3 0

2 years ago

Divide. Give special attention to the order of division. a. 72 ÷ 9 ÷ 2 b. (18 ÷ 6) ÷ 3 c. 45 ÷ 5 ÷ 3 d. 144 ÷ (12 ÷ 2)

Shkiper50 [21]

A. 72÷9÷2 = 8÷2 = 4
b. (18 ÷ 6) ÷ 3 = 3 ÷ 3 = 1
c. 45 ÷ 5 ÷ 3 = 9 ÷ 3 = 3
d. 144 ÷ (12 ÷ 2) = 144 ÷6 = 24

4 0

2 years ago

Read 2 more answers