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Ksju [112]
3 years ago
15

For quadrilateral ABCD, determine the most precise name for it. A(-2,3), B (9,3), C(5,6) and D(2,6). Show your work and explain.

Mathematics
1 answer:
Andrews [41]3 years ago
7 0

I graphed the 4 points and connected the dots. (Sorry I'm not able to show this)

I then realized it was some type of trapezoid however, I wasn't sure which kind of trapezoid (regular or isosceles) so I googled the properties of both and concluded that it makes a regular trapezoid.

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Yea thank for the answer
kolbaska11 [484]

Answer:

Step-by-step explanation:

Hello!

10*17 = > 170 cm²

(3,14 * 8)/4 =>6,28cm²

170 + 6,28 => 176,28cm²

4 0
2 years ago
Read 2 more answers
In the figure, AB=12, BC=8, DE=6, PD=4, and A is the point of tangency. Find the radius of circle P.
Lelu [443]

Answer:

The radius of the circle P = 2√10 = 6.325

Step-by-step explanation:

∵ AB is a tangent to circle P at A

∴ (AB)² = BC × BE

∵ BC = 8 , AB = 12 , ED = 6

∵ BE = ED + DC + CB

∴ BE = 6 + CD + 8 = 14 + CD

∴ (12)² = 8 × (14 + DC) ⇒ (12)²/8 = 14 + CD ⇒ CD = (12)²/8 - 14

∴ CD = 4

Join PC and PE (radii)

In ΔBDC and ΔPDE ⇒ ∵ ∠PDC = Ф , ∴ ∠PDE = 180 - Ф

Use cos Rule:

∵ r² = (PD)² + (DC)² - 2(PD)(DC)cosФ

∴ r² = 16 + 16 - 32cosФ = 32 - 32cosФ ⇒ (1)

∵ r² = (PD)² + (DE)² - 2(PD)(DE)cos(180 - Ф) ⇒ cos(180 - Ф) = -cosФ

∴ r² = 16 + 36 + 48cosФ = 52 + 48cosФ ⇒ (2)

∵ (1) = (2)

∴ 32 - 32 cosФ = 52 + 48cosФ

∴ 32 - 52 = 48cosФ + 32cosФ

∴ -20 = 80cosФ

∴ cosФ = -20/80 = -1/4

∴ r² = 32 - 32(-1/4) = 32 + 8 = 40

∴ r = √40 = 2√10 = 6.325

7 0
3 years ago
HELP ME ASAP PLEASE?!?<br> Classify the following triangle as acute, obtuse, or right.
Lyrx [107]

Answer:

obtuse

Step-by-step explanation:

hope it helps. :)

3 0
3 years ago
Greg has four different colored cards in a box. Yellow, red, blue, and green. He randomly selects one card, records the color, a
Veronika [31]

Answer:

He should expect to select 75 yellow cards.

Step-by-step explanation:

Since there is replacement, for each trial, we have:

1 yellow card

1 red card

1 blue card

1 green card.

If Greg does this 300 times, how many yellow cards should he expect to select?

Each trial, there are 4 cards, one of which is yellow. So 1/4 = 0.25 probability of selecting a yellow card.

Over 300 trials

0.25*300 = 75

He should expect to select 75 yellow cards.

6 0
3 years ago
Identify the dependent variable in this situation:
NNADVOKAT [17]
Amount of data you use is the dependent variable because it depends on how much you will pay
6 0
2 years ago
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