P=b+4a+c, solve for b
2 answers:
Step 1 ) Subtract 4a from both sides.
p = b + 4a + c
p - 4a = b + 4a + c - 4a
p - 4a = b + c
Step 2 ) Subtract c from both sides.
p - 4a = b + c
p - 4a - c = b + c - c
p - 4a - c = b
Step 3 ) Switch sides.
p - 4a - c = b
b = p - 4a - c
The value of b is now in its simplest form, so the value of b in p = b + 4a + c is...
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- Marlon Nunez
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The statements that would complete the proof where ∠2 ≅ ∠7 by the transitive property are:
∠2 ≅ ∠3
∠3 ≅ ∠7
<h3>What is the Transitive Property?</h3>The transitive property states that if x = y, and y = z, then x = z.
From the image given below, we have:
∠2 ≅ ∠3 because they are vertical angles which must be congruent.
∠3 ≅ ∠7 because corresponding angles are congruent.
Applying the transitive property, we can state that: ∠2 ≅ ∠7.
Therefore, the statements that would complete the proof are:
- ∠2 ≅ ∠3
- ∠3 ≅ ∠7
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Answer:
20 ft²
Step-by-step explanation:
the area (A) of a triangle is calculated using the formula
A = bh ( b is the base and h the height )
here b = 5 and h = 8
A = × 5 × 8 = 20 ft²
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We can go through each answer to verify whether each is equivalent to 8 : 6.
4 : 3 is equivalent to 8 : 6 because reducing the ratio 8 : 6 by a factor of 2 yields 4 : 3.
6 : 8 is not equivalent to 8 : 6 because the ratio is reversed.
16 : 12 is equivalent to 8 : 6 because the ratio is increased by a factor of 2.
10 : 8 is not equivalent to 8 : 6. We can verify this by checking whether each term was scaled equally:
10 ÷ 8 = 1.25
8 ÷ 6 = 1.33. Therefore, they are unequal.
7 : 5 is not equal to 8 : 6 for the same reason.
The only correct choices are:
4 : 3 and 16 : 12.