They are similar in basically everything because they're inverse operations.
Inverse operations are operations that do the smae thing, but the opposite way. If one multiplies, the other one divides. If one sums the other one subratcts.
→ Exponents multiply the same number by itself a given amount of times to obtain the answer.
→ Roots get a number and look for another one that multiplied by itself a given amount of times reult in the initial number.
Hope it helped,
BioTeacher101
Answer:
Angle A = 19
Step-by-step explanation:
Vertical angles are congruent ( equal to each other )
If angle A and angle B are vertical angles and vertical angles are congruent then angle A = angle B
If angle A = 3x + 13 and angle B = 5x + 9 then 3x + 13 = 5x + 9
( Note that we just created an equation that we can use to solve for x )
We now solve for x using the equation created
3x + 13 = 5x + 9
Step 1 subtract 3x from both sides
Outcome: 13 = 2x + 9
Step 2 subtract 9 from both sides
Outcome: 4 = 2x
Step 3 divide both sides by 2
Outcome: x = 2
Now to find Angle A
All we have to do to find the measure of angle a is simply substitute 2 for x in it's given expression ( 3x + 13 )
Substitute 2 for x
Angle A = 3(2) + 13
Multiply
Angle A = 6 + 13
Add
Angle a = 19
In my opinion, I like using improper fractions, but that's up to you:
7 1/5 = 36/5
6 2/5 = 32/5
36/5 - 32/5 = 4/5
I believe the max would be 195ml. Hope this helps :)
10 parts of answers
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Statement number (2)
From (1) ⇒ BD bisects ∠ABC ⇒ Definition of angle bisects
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Statement number (3)
Given information
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Statement number (4)
Corresponding angles are congruent
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Statement number (5)
From (2) and (4) ⇒ Transitive property of quality
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Statement number (6)
Alternative angles are congruent
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Statement number (7)
From (5) and (6) ⇒ Transitive property of quality
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Statement number (8)
From (7) ⇒ Δ ABE is an isosceles triangle
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Statement number (9)
From (8) ⇒ Definition of the isosceles triangle.
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Statement number (10)
From (3) ⇒ Triangle proportionality theorem
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Statement number (11)
From (9) and (10) ⇒ Substitution property of equality.
