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3 years ago

Which statements prove that a quadrilateral is a parallelogram?

2 answers:

7 0

The answers are Quadrilateral DEFG has diagonals that bisect each other. And Quadrilateral DEFG has opposite angles that are congruent.

vesna_86 [32]3 years ago

3 0

The answers are A, B and D.

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PLZ HELP

IgorLugansk [536]

Answer:

i dont know for sure but it says possible order pairs

6,12

8 0

3 years ago

Read 2 more answers

Given that ΔPQR is similar to ΔPTS, which statement MUST be true? A) m∠PST = m∠QPR B) m∠TPS = m∠RPQ C) m∠SPT = m∠PTS D) m∠PRQ =

galina1969 [7]

Answer:

The correct option is B.

Step-by-step explanation:

Two triangle are similar if their corresponding sides are in the same proportion or the corresponding angles are same.

It is given that the ΔPQR is similar to ΔPTS. It means all corresponding angles are same.

$\angle R=\angle S$

$\angle Q=\angle T$

$\angle P=\angle P$

Angle P can be defined as

$\angle QPR=\angle TPS$

$\angle RPQ=\angle TPS$

Therefore option B is correct.

$\angle PST\neq\angle QPR$

$\angle SPT\neq\angle PTS$

$\angle PRQ\neq\angle PTS$

Therefore option A, C and D are incorrect.

7 0

3 years ago

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Given that the expression x³_ ax² + bx+c leaves the same remainder when divided by x + 1 or x-2, find 'a' in terms of 'b'.

goblinko [34]

Answer:

Hi,

a=b+3

Step-by-step explanation:

$\begin{array}{c||c|c|c|c}&x^3&x^2&x&1\\---&---&---&---&---\\&1&-a&b&c\\x=-1&&-1&a+1&-a-b-1\\---&---&---&---&---\\&1&-a-1&a+b+1&c-a-b-1\\\end{array}$

$\begin{array}{c||c|c|c|c}&x^3&x^2&x&1\\---&---&---&---&---\\&1&-a&b&c\\x=2&&2&4-2a&2b+8-4a\\---&---&---&---&---\\&1&2-a&b+4-2a&c+2b+8-4a\\\end{array}$

Thus:

c+2b+8-4a=c-a-b-1

3b-3a=-9

5 0

2 years ago

The equation 2x^2+12x=4 is written in the form of 2(x-p)^2+q=0. what is the value of q?

hram777 [196]

1) Factor out the coefficient 2: 2x^2+12x=4 => 2(x^2 + 6x) = 4

2) Complete the square of x^2 + 6x: x^2 + 6x + 9 - 9. Then:

2(x^2 + 6x + 9 - 9) = 4

3) Rewrite the square as the square of a binomial:

2( [x+3]^2 - 9) = 4, or

2([x+3]^2) = 22, or

2( [x+3]^2 ) - 22 = 0

The value of q is -22.

7 0

3 years ago

A person can drive 200 miles in 4 hours.What is the constant of proportionality?

Eddi Din [679]

To get the constant of proportionality (unit rate) you must find the miles driven in 1 hour. To get this you simply divide 200 by 4...
200÷4=50
So, the constant of proportionality is 50 mph.

7 0

3 years ago

Read 2 more answers