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Triss [41]
3 years ago
11

Given: 3x-2/2=5Prove: x=4Complete the proof.​

Mathematics
1 answer:
kolbaska11 [484]3 years ago
3 0

Answer:

\frac{3x - 2}{2}  = 5  \\ multipy \: both \: side \: by \: 2\\  \frac{3x - 2}{2} \times 2 = 5 \times 2 \\ 3x - 2 = 10 \\ add \: 2 \: to \: both \: side \\ 3x - 2 + 2 = 10 + 2 \\ 3x - 0 = 12 \\ 3x = 12 \\ divide \: both \: side \:  \frac{3x}{3}  =  \frac{12}{3}  \\ x = 4

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5 0
3 years ago
Find the values of x and y that make k || j and <br> m || n.
telo118 [61]
Same side interior angles CONVERSE also called consecutive interior angle CONVERSE.
IF  (x - 30) + (x + 50) = 180 then, line line n || m.

x -  30 + x + 50 = 180
2x + 20 = 180
subtract 20 from both sides
2x = 160
divide both sides by 2
x = 80

IF (x - 30) + y = 180, then k || j.
(80 - 30) + y = 180
50 + y = 180
subtract 50 from both sides
y = 130


6 0
3 years ago
Read 2 more answers
Consider isosceles ΔXYZ.
Rom4ik [11]

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The length of the legs XY and YZ is equal to 39 units.

<h3>What is a triangle?</h3>

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angles of a triangle is always equal to 180°. An isosceles triangle has two sides out of three equal.

A.) The value of n can be found by equating XY and XZ together,

XY = XZ

9n + 12 = 15n - 6

12 + 6 = 15n - 9n

18 = 6n

n = 3

Hence, the value of n is 3.

The length of different legs of the triangle is,

B.) XY = 9n + 12 = 9(3) + 12 = 27 + 12 = 39

C.) YZ = 15n - 6 = 15(3) - 6 = 45 - 6 = 39

Hence, the length of the legs XY and YZ is equal to 39 units.

Learn more about Triangle:

brainly.com/question/2773823

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6 0
1 year ago
How much is a gallon of milk in kg
AleksandrR [38]

Answer:

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3 0
3 years ago
2 to the fourth power subtracted by 8 multiplied by 2 divided by 4 simpified
Korvikt [17]

2^4-8x2/4  (PEMDAS) Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction

first you want to do exponents.. so 2x2x2x2 = 16

then you want to do multiplication so.. -8x2 = -16

now you have.. 16-16/4 .. then you want to do division so divide -16 by 4 and get -4

then you're left with 16-4 which is 12

THE ANSWER IS 12

6 0
3 years ago
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