Answer:
29*sqrt(5)
Step-by-step explanation:
Start with sqrt (45). You must reduce it to it's prime factors.
45: 9 * 5 9 is not prime so reduce it.
45: 3 * 3 * 5
When you write √45, you should replace it with √(3*3*5)
The rule is
Rule: when you have a pair of equal prime factors under a root sign, you can take one out and throw one away.
Rule 2: If there are an odd number of equal primes one of them will be left underneath the root sign.
√45 = 3√5
11sqrt(45) - 4 sqrt(5) Substitute for 45
11*3*sqrt(5) - 4sqrt(5) Take out sqrt(5) using the distributive property.
(11*3 - 4)*sqrt(5) Combine 11 * 3
(33- 4) * sqrt(5) Do the subtraction
29 * sqrt(5) Answer
2. Definition of linear pair
3. Linear pair theorem
4. Definition of supplementary angles
5. m<1 + m<2 + m<3 = 180
6. Substitution property of equality
7. m<1 + m<2 + m<4
7. Subtraction property of equality
Given points A(−2,0), B(−5,3), C(−9,−1), P(7,6), Q(4,0), and R(−4,4), which of the following proves that △ABC~△PQR?
UNO [17]
Based on the SSS similarity theorem, △ABC ~ △PQR because AB/PQ = BC/QR = CA/RP = √2/√5 = √10/5 (option D).
<h3>The SSS Similarity Theorem</h3>
Two triangles having three pairs of sides that are proportional can be proven to be similar by the SSS similarity theorem.
If the triangle ABC and triangle PQR are similar, their corresponding sides will be proportional, meaning that: AB/PQ = BC/QR = CA/RP.
Therefore, using the distance formula, 
, the sides of each triangle is found.
Therefore, it shows that:
AB/PQ = BC/QR = CA/RP = √2/√5 = √10/5
Therefore, based on the SSS similarity theorem, △ABC ~ △PQR because AB/PQ = BC/QR = CA/RP = √2/√5 = √10/5 (option D).
Learn more about the SSS similarity theorem on:
brainly.com/question/4163594
Answer: 400
Step-by-step explanation:
If 5% of a number is 80, just multiply that number by 5 to get 25 (5 x 5 = 25) and you will get 400.
Answer:
Division property
Step-by-step explanation:
