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kodGreya [7K]
3 years ago
5

The _____ justifies the conclusion that ∆ABD ≅ ∆AEC.

Mathematics
1 answer:
elena55 [62]3 years ago
3 0
It is the AAS Postulate.

Explanation: You’re given two right angles (because perpendicular sides make right angles).

This also means that the angle next to them are also right angles, because they are linear pairs (180-90=90)

The right angles are:
This is your first A.

Both triangles also share a similar angle:
This is your second A.

You’re given side BD is congruent to EC.

This is your S.

It’s AAS and not ASA because the order refers to how they are connected: they are congruent in the order that the first set of congruent angles connect to the next, then to the congruent side.
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The radius of a circle is 9 feet. What is the length of a 90° arc?
maks197457 [2]

Answer:

\frac{9\pi }{2} feet, or 14.14 feet

Step-by-step explanation:

Use the arc length formula:

s = rθ

To use the formula, we have to convert the central angle to radians.

90° is equivalent to \frac{\pi }{2} radians, so plug this and the radius into the formula:

s = rθ

s = (9)(\frac{\pi }{2})

s = \frac{9\pi }{2}

So, the length of the arc is \frac{9\pi }{2}\\ feet, or approximately 14.14 feet

7 0
3 years ago
12(3-2x)=84 solve for x.
OlgaM077 [116]
12(3-2x) = 84

do distributive multiplication:

12(3) + 12(-2x) = 84
36 - 24x = 84

Deduct 36 to both sides

36 - 36 - 24x = 84 - 36
-24x = 48

divide -24 to both sides

-24x / -24 = 48/-24
x = -2

To check:
12(3-2x) = 84
12(3-2(-2) = 84
12(3+4) = 84
12(7) = 84
84 = 84
7 0
3 years ago
Read 2 more answers
A recent survey by the American Cancer Society shows that the probability that someone is a smoker is P(S) = 0.19. It has also d
Rom4ik [11]
P(LC / S) = P(S intersect LC) / P(S)
P(S intersect LC) = P(S)*P(LC / S) = 0.19 * 0.158 = 0.03
8 0
3 years ago
The sum of the digits of a two-digit number is 9. When the digits are reversed, the new number is 9 more than the original numbe
Paul [167]

9514 1404 393

Answer:

  d.  45

Step-by-step explanation:

You can check the offered answers. You will find that the difference from reversing the digits will only be 9 if the digits differ by 9/9 = 1.

The original number is 45.

__

<em>Check</em>

  45 + 9 = 54 . . . with the digits reversed

4 0
3 years ago
A bag holds 11 beads. 7 are red, the rest are white. Two beads are taken at random from the bag. What is the probability that on
babunello [35]

Answer:

  The probability of the first draw is 100%, because the bead will be either red or white.  For the second draw, a different color must be drawn.

  So, if draw 1 is white, then the probability of draw 2 being red is 7/10.  and if the first draw is red, then the probability of draw two being white is 5/10.

5 0
3 years ago
Read 2 more answers
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