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3 years ago

in rhombus ABCD the measure in inches of AB is 3x+2 and BC is x+12 Find the number of inches in the length of DC

Mathematics

1 answer:

Afina-wow [57]3 years ago

3 0

<h3>Answer: 17 inches</h3>

===============================

Rule: All four sides of a rhombus are the same length

So AB = BC

Use this to solve for x

AB = BC

3x+2 = x+12

3x-x = 12-2

2x = 10

x = 5

If x = 5, then

AB = 3*x+2 = 3*5+2 = 15+2 = 17

and

BC = x+12 = 5+12 = 17

Both sides are 17 as expected, so the proper x value is confirmed.

So DC is also 17 since AB = DC

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3 years ago

Solve the problem using 6.2%, up to $128,400 for Social Security tax and using 1.45%, no wage limit, for Medicare tax.

maksim [4K]

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<h3>What is monthly social security act?</h3>

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1 year ago

Solve the system of equations 5x-2y=88 3x+4y=58 show all work

diamong [38]

The given equations are:

5x - 2y = 88
3x + 4y = 58

Multiplying the 1st equation by 2, we get the new set of equations as:

10x - 4y = 176
3x + 4y = 58

Adding the two equations, we get:

10x - 4y + 3x + 4y = 176 + 58
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Using the value of x in 1st equation, we get:

5(18) - 2y = 88
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3 years ago

Read 2 more answers

Find the equation of the line that is parallel to x=5y-8 and pass through (6, -5) in slope intercept form

DochEvi [55]

Answer:

y=1/5x-31/5 (or y=0.2x-6.2 in decimals)

Step-by-step explanation:

x=5y-8 (original equation)

x+8=5y (Addition Property of Equality)

1/5x+8/5=y (Division Property of Equality, slope of original equation is 1/5)

y-y1=m(x-x1) (point-slope formula)

y-(-5))=1/5(x-(6)) (plug in the slope that was found earlier and the point given in the question)

y+5=1/5(x-6)

y+5=1/5x-6/5 (Distributive Property of Multiplication) Note: 5 = 25/5

y=1/5x-31/5 (Subtraction Property of Equality, and there's your answer)

y=0.2x-6.2 (This is the same answer, but written with decimals)

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