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alisha [4.7K]
3 years ago
8

What three consecutive even integers have a sum of 78

Mathematics
1 answer:
Airida [17]3 years ago
8 0

Answer:

24,26,28

Step-by-step explanation:

78 divided by 3 is 26, which means that 26 is the middle number and the next even number that is lower and bigger are the other two integers. You divide it by 3 because it's 3 consecutive even intergers

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Solve for the missing angle ∡&. One point for your equation and one point for the correct angle measure.
love history [14]
Hello.

1. Understand that this requires inverse trigonometry.
2. For A, we can use sin^-1 if we want (we could use cos^-1 or tan^-1 as well because all sides are given)
Definition of sin^-1 with how it is derived
sin(theta) = O/H <—> sin^-1(O/H)
Angle A: (When calculating an angle, ensure that your calculation is in degree mode instead of radian mode.) 2ND, then QUIT on TI

sin^-1(7/25) = 16.26020471°
(round as needed)

Angle &: (also in degree mode)

All angles of a triangle add to 180°.
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(round as needed)

To quickly check: 16° + 90° + 73° = 180°, as expected for a triangle

From the picture you provided,

The angle values make sense because that triangle represents a 30-60-90 degree triangle. (Also, a good trick is to know that the smallest angle of a triangle will always have the smallest side value, and the largest angle has the largest side value.)
Unless we have an equilateral triangle!

Good luck to you!



8 0
3 years ago
Please help! It would mean a lot and thanks! :)
notsponge [240]

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Thus, B is right.

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