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4 years ago

5. this gate contains a series if congruent quadrilaterals. Are the quadrilaterals also parallelograms? Explain.

Mathematics

1 answer:

Crank4 years ago

7 0

Yes. A Parallelogram is a shape with 4 parallel sides, each shape within the gate are Parallelograms.

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Please help im confused on the last question on my warm up!

geniusboy [140]

Answer:

Choice B: Only (-1,-5)

Step-by-step explanation:

With this one, first the equation needs to be reduced into point-slope format.

y+5=2(x+1)

Distributive Prop.

y+5=2x+2

Carry over the 5 to the opposite side.

y=2x-3

Now, with the point slope form, it makes it easier to plug in the question choices to find which if any are correct.

Choice A: X is 5; Y is 10

y=2x-3

y=2(5)-3

y=10-3

y=7

This does not give a y value of 10, so it is false.

Choice B: X is -1; Y is -5

y=2(x)-3

y=2(-1)-3

y= -2-3

y= -5

This does give a y value of -5, so it is true. Choices C and D are therefore false as well, since only Choice B works.

3 0

3 years ago

to angie's ladder was 22 feet tall above the ground lying against the wall of her house.the base of the ladder was 5 feet tall.w

Talja [164]

Answer:

Step-by-step explanation:

Okay, so attached is a diagram of the triangle we are solving. Because buildings are almost always perpendicular (90 degrees) to the ground, it is a right triangle.

You can now use the pythagorean theorem with the sides to fill in the other side:

a^2+ b^2= c^2

5^2 + b^2= 22^2

25+b^2=484

b^2= 459

b=21.42

Okay, so for slope you need 2 points- think of the wall as your y axis, and the ground as your x axis. The ladder is the line.

Your first point is (-5,0) because the bottom of the ladder is touching the ground (no y movement) and the bottom of the ladder is 5 feet from the base of the wall and ground (origin).

The second point is going to be (0, 21.42) because that is the height of the wall where the ladder is touching (x is at origin). The 21.42 is positive, because you can't have negative height.

Okay so far? :)

(-5,0) and (0, 21.42)

(x1, y1) and (x2, y2)

slope= (y2-y1)/(x2-x1)

slope= (21.42-0)/ (0-(-5)) ---- becomes positive

slope= 4.284

(Note: slope could also be negative if you put the ladder on the other side of the wall- 5 would become positive... google "positive vs negative slopes" for more info)

Hopefully that answers your question!