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4 years ago

Helen draws three parallelograms. In each figure, she measures a pair of angles, as shown.

Mathematics

2 answers:

kakasveta [241]4 years ago

6 0

Answer:

<em>D. In a parallelogram, opposite angles are congruent.</em>

Step-by-step explanation:

In each case, she measures two opposite angles, and they are congruent.

D. In a parallelogram, opposite angles are congruent.

drek231 [11]4 years ago

6 0

Answer:

D.In a parallelogram, opposite angles are congruent.

Step-by-step explanation:

We are given that Helen draws three parallelograms.

We have to find conjecture which is reasonable for Helen to make.

We know that in parallelogram opposite angles are congruent.

Opposite sides of parallelogram are equal and parallel.Consecutive angles are supplementary.

In each figure, opposite angles are congruent.

Therefore, option D is true.

Answer:D.In a parallelogram, opposite angles are congruent.

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nirvana33 [79]

Answer:7.61577

Step-by-step explanation:

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3 years ago

It was recently estimated that females outnumber males by about three or two. If there are 1770 people in a county, how many of

max2010maxim [7]

GIVEN

1) Females outnumber males by 3 to 2.

2) There are 1770 people in the city.

SOLUTION

Let the number of males be x and the number of females y. Therefore, the total number of people can be written to be:

$x+y=1770\text{ -----------(1)}$

If there are 3 females for every 2 males, we have that:

$\begin{gathered} \frac{y}{3}=\frac{x}{2} \\ \therefore \\ x=\frac{2y}{3}\text{ ----------(2)} \end{gathered}$

We can substitute equation (2) into equation (1) and solve for y:

$\begin{gathered} \frac{2}{3}y+y=1770 \\ \frac{2y+3y}{3}=1770 \\ 5y=1770\times3 \\ 5y=5310 \end{gathered}$

Dividing both sides by 5, we have

$y=1062$

There are 1062 females in the county.

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1 year ago

Which function is the inverse of f(x) = 2x + 32?

kogti [31]

Answer:

(x/2)-16=f( x)

Step-by-step explanation:

f( x)=2x+32

y=2x+32

inve.rse (switc.h x an.d y)

x=2y+32

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x-32=2y

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(x-32)/2=(2y)/2

(x/2)-16=y

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(x/2)-16=f( x)

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3 years ago

Simplify 1/2(8-4g) pls help me

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Answer:

2(-g+2)

Step-by-step explanation

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3 years ago

Read 2 more answers

For the function f(x) = x + 4, what is the ordered pair for the point on the graph when x = 3p?

sweet-ann [11.9K]

F ( x ) = x + 4
x = 3 p
f ( 3 p ) = 3 p + 4
Answer. D )
The ordered pair is:
( x, y ) = ( 3 p, 3 p + 4 )
Thank you.

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3 years ago