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Gennadij [26K]
3 years ago
13

What else would need to be congruent to show that ABC = XYZ by ASA?

Mathematics
1 answer:
Rom4ik [11]3 years ago
8 0

Answer:

Option B AC≅XZ

Step-by-step explanation:

we know that

ASA (angle, side, angle) means that we have two congruent triangles where we know two angles and the included side are equal

In this problem we have

∠X≅∠A

∠Z≅∠C

In the triangle ABC the included side between the angles ∠A and ∠C is the side AC

and

In the triangle XYZ the included side between the angles ∠X and ∠Z is the side XZ

therefore

AC≅XZ

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A spinner has 12 equal sections:5 red 4 green and the rest are black. In 921 spins how many times can you expect to spin black?
Komok [63]

Answer:

230

Step-by-step explanation:

12 sections total

5 red, 4 green, the rest black

12-5-4 = 3 sections are black

3/12 = 1/4 of the sections are black

1/4 represents the probability of landing on black for one spin

(1/4)*921 = 230.25 which rounds to 230

We expect to land on a black section about 230 times out of 921 times total.

8 0
3 years ago
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zmey [24]
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7 0
3 years ago
Use the given information and a calculator to find to the nearest tenth of a degree
Schach [20]

Answer:

111.4 degrees

Step-by-step explanation:

Let's write cos x = -0.3646.  Or, look up the symbols chart at the bottom of your page and click on Ф to obtain this character:  cos Ф = -0.3646.

If Ф is in Quadrant III, then the adjacent side is negative and the hypotenuse is positive.  

                                                         -1

Type this into your calculator:  cos     -0.3646.  Result:  1.934 (radians)

This converts to degrees as follows:

1.934 rad      180 degr

--------------- * --------------- = 111.4 degrees.  Note that this angle is in QIII.

        1              π rad

8 0
3 years ago
To the nearest foot, what is the radius of the Ferris wheel if you traveled 157 feet?
Alex777 [14]

Answer:

The radius of the Ferris wheel is 25\ ft

Step-by-step explanation:

we know that

The circumference of a circle is equal to

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we have

C=157\ ft

substitute

157=2(3.14)r

Solve for r

r=157/6.28=25\ ft

5 0
3 years ago
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3x <  - 9 \\ x <  - 3
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