Answer: 10, 11, 12
Step-by-step explanation: Think of the integers like this:
1st integer: x
2nd integer: x+1
3rd integer: x+2
That is necessary because they are consecutive integers. Since the sum is 33, we need to create an equation.
x+x+1+x+2=33.
Simplify:
3x+3=33.
Opposite operations:
3x=-3+33.
To get the 3 close to the 33, we needed to make it negative, which is the opposite operation of the positive 3.
So,
3x=30.
Divide by 3:
x=10.
The first integer, x, equals 10.
To go with the guide that we already created,
1st integer: x=10
2nd integer: x+1=11
3rd integer:x+2=12.
Therefore, the three consecutive integers are 10, 11, and 12.
To check that, add them up. They all equal 33 and they are consecutive, which means this is the right answer!
Answer:
You could always ask your parents for help
Step-by-step explanation:
The rest of the question is the attached figure
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solution:
∠H = ∠J = 27°
∠G = ∠L = 117°
∠F = 180 - (∠H + ∠G) = 180 - (27+117) = 36°
∠K = 180 - (∠J + ∠L ) = 180 - (27+117) = 36°
∴∠F = ∠K = 36°
∴ ΔHGF is similar to ΔJLK
So, the correct statement ⇒ HG and LJ are proportional.
