Determine whether each quadrilateral is a parallelogram rectangle rhombus and Dory Square list of all that apply.

Mathematics

1 answer:

jeka942 years ago

3 0

Answer: see below

Step-by-step explanation:

(1)

$a)\quad EF = 3\sqrt2,\quad FG = 3\sqrt2,\quad GH = 3\sqrt2,\quad HE = 3\sqrt2$

b) FH = 6, EG = 6

c) Square (which means it is also a rectangle and parallelogram)

(2)

$a)\quad m_{EF}=3,\quad m_{FG}=-\dfrac{1}{2},\quad m_{GH}=3,\quad m_{HE}=-\dfrac{1}{2}$

$b)\quad \text{Midpoint}_{EG}=(4.5, 1.5),\quad \text{Midpoint}_{FH}=(4.5, 1.5)$

c) Parallelogram

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2 years ago

4a+6b=10 2a-4b=12 what does 12a =?

Usimov [2.4K]

If you have at least as many equations as your have unknown variables, the 'system' is solvable (unless the equations are copies of eachother).

In this case, isolate one letter and plug it in the other. I'm going for the 2a in the bottom one (it doesn't matter)

2a - 4b = 12 => (divide by two and move the b's to the other side)

a = 6 + 2b. (plug this one into the top equation)

4(6+2b) + 6b = 10 => 24+8b+6b = 10 => 24 + 14b = 10 => 14b = -14 => b=-1

a = 6 + -2 = 4.

So a=4 and b=-1.

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2 years ago

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