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GenaCL600 [577]
3 years ago
11

Determine if the statement "Opposite sides of a parallelogram are congruent." is always, sometimes, or never true. Always, somet

imes, or never
Mathematics
1 answer:
zalisa [80]3 years ago
5 0
<h3>Answer:  Always true</h3>

Explanation:

This can be proven by dividing the parallelogram into two triangles, and then proving the triangles congruent (use ASA). Once you know the triangles are congruent, then the corresponding pieces must be congruent as well. The corresponding pieces being the same length tells us that the opposite sides of a parallelogram are always congruent.

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Deangelo has $7 worth of dimes and quarters in a jar. He has 7 more quarters than dimes.
svlad2 [7]
D=number of dimes
q=number of quarters

let's count everything in cents
dimes are worth 10 cents
quarters are worth 25 cents

10d+25q=700
divide both sides by 5
2d+5q=140


he has 7 more quarters than dimes
q=7+d
subsitute 7+d for q in other equation

2d+5q=140
2d+5(7+d)=140
2d+35+5d=140
7d+35=140
minus 35 both sides
7d=105
divide both sides by 7
d=15

sub back

q=7+d
q=7+15
q=22


22 quarters and 15 dimes
3 0
3 years ago
Read 2 more answers
What is the slope of the line that passes through the following points: (3,-1) and (-1,2)?
Katyanochek1 [597]

with the equation of the slope for two points given, m=Y2-Y1/ X2-X1, you can obtain the slope , x1= 3, y1 = -1 , x2= -1, y2= 2  

m = 2-(-1)/ -1-3 ⇒ m= 3/-4, m = -3/4, therefore the slope is - 3/4


7 0
3 years ago
Simplify (34)−1.
elena55 [62]

The simplified form of the expression; (3/4)-¹ as given in the task content is; 4/3.

<h3>What is the simplified form of the expression as given in the task content?</h3>

It follows from the task content that the expression in discuss can be simplified as follows by the laws of indices;

(3/4)-¹

Hence, due to negative exponent, the result is;

= 1 ÷ (3/4)¹

= 1 × (4/3)

= 4/3.

Read more on indices;

brainly.com/question/170984

#SPJ1

6 0
2 years ago
Juanita is a basketball player who makes
Sedaia [141]

Answer: Juanita shoots a series 5 free-throws. Let M = the number of free-throws she makes.

Step-by-step explanation: Khan

6 0
3 years ago
Find the slope of line A2 B-2 C3 D-1
tatyana61 [14]

Answer:

-2

Step-by-step explanation:

The line is going down 2 over 1 making it -2/1

this becomes -2

5 0
3 years ago
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