Start by multiplying b to both sides of the equation to get rid of the fraction. Now you have: Ub = ak.
To isolate a, divide both sides of the equation by k. 
= a is the final answer.
The area of the triangle should be 20. Try that out
Answer:
Step-by-step explanation:
Represent Alice with A, her friend with F and you with Y.
From the question, we have:
--- Twice as much Alice means 2 times Alice's earnings
--- 2 less than her friend
Required
Determine the total amount
Substitute 
for A in
Substitute 
for F in
The total amount is calculated by adding the earnings of Alice, her friend and you
<em>Hence, the total earnings is 5d - 2</em>
Answer:
55% or 0.55(as a decimal)
Step-by-step explanation:
40% of their clients buy auto insurance policies = P(A)
30% of their clients buy home insurance policies = P(H)
15% of their clients buy both home and auto insurance policies = P( A ∩ H)
The probability a randomly selected client buys a home or auto insurance policy = P (A ∪ H) is calculated as
P ( A ∪ H) = P(A ) + P ( H ) - P( A ∩ H)
= 40% + 30% - 15 %
= 70% - 15%
= 55%
Therefore, the probability that a randomly selected client buys a home or auto insurance policy is 55% or expressed as decimal = 0.55
- Given ⇔ 1. ∠PRS and ∠VUW are supplementary
- Angles forming a linear pair sum of 180° ⇔ 3. ∠PRS + ∠SRU = 180°
- Definition of Supplementary angle ⇔ 2. ∠PRS + ∠VUW = 180°
- Transitive property of equality ⇔ 4 . ∠PRS + ∠VUW = ∠PRS + ∠SRU
- Algebra ⇔ 5. ∠VUW = ∠SRU
- Converse of Corresponding angle Postulate ⇔ Line TV || Line QS
<u>Step-by-step explanation:</u>
Here we have , ∠PRS and ∠VUW are supplementary . We need to complete the proof of TV || QS , with matching the reasons with statements .Let's do this :
- Given ⇔ 1. ∠PRS and ∠VUW are supplementary
- Angles forming a linear pair sum of 180° ⇔ 3. ∠PRS + ∠SRU = 180°
- Definition of Supplementary angle ⇔ 2. ∠PRS + ∠VUW = 180°
- Transitive property of equality ⇔ 4 . ∠PRS + ∠VUW = ∠PRS + ∠SRU
- Algebra ⇔ 5. ∠VUW = ∠SRU
- Converse of Corresponding angle Postulate ⇔ Line TV || Line QS
Above mentioned are , are the statements matched with expressions on right hand side (RHS) .
- The Corresponding Angles Postulate states that, when two parallel lines are cut by a transversal , the resulting corresponding angles are congruent .
- The converse states: If corresponding angles are congruent, then the lines cut by the transversal are parallel.
