Answer:
Step-by-step explanation:
2800: 2 * 2 * 2 * 2 * 5 * 5 * 7
75: 3 * 5 * 5
168: 2 * 2* 2 * 3 * 7
It's not really multiplication. It's more division.
Try 2800 as a sample. What you are trying to do is break this down into primes. The first prime is 2
2800/2 = 1400
1400 / 2 = 700
700 / 2 = 350
350 / 2 = 175. That's the end of what the 2s can do.
175 / 5 = 35
35/ 5 = 7 7 is a prime. You are done. Now run up the ladder.
2800: 2 * 2 * 2 * 2 * 5 * 5 * 7
75 is not an even number. It has no 2s. Go to 3
75 / 3 = 25.
25 / 5 = 5
That's the end
75: 3 * 5 * 5
Your calculator can be of great help. The rule is keep factoring until you get a decimal remainder. Move on to the next prime. Stop when the last division gives you a prime.
Given rectangle RUTS, the missing reasons that justifies the five statements in the two-column proof are:
- Given
- Definition of rectangle.
- Definition of rectangle.
- By SAS Congruence Theorem.
- By CPCTC.
<h3>What is a Rectangle?</h3>
- A rectangle is a quadrilateral.
- All four angles in a rectangle are right angles.
- The opposite sides of a rectangle are parallel and congruent to each other.
Therefore, based on what we are given and the definition of a rectangle, we can establish that △URS ≅ △STU by SAS.
Since △URS ≅ △STU, therefore ∠USR = ∠SUT by CPCTC.
In conclusion, given rectangle RUTS, the missing reasons that justifies the five statements in the two-column proof are:
- Given
- Definition of rectangle.
- Definition of rectangle.
- By SAS Congruence Theorem.
- By CPCTC.
Learn more about properties of rectangle on:
brainly.com/question/2835318
Number of seats = 42
Seats per row x row = 1302
s x r = 1302
rows + 11 = seats per row
r + 11 = s
s x r = 1302
(r + 11) x r = 1302
r^2 + 11r = 1302
r^2 + 11r - 1302 = 0
(r + 42) x (r - 31) = 0
r = -43 or 31
Cannot have negative rows so the number of rows is 31, and the number of seats per row is 31 + 11 = 42
Check: 31 x 42 = 1302 :)
Answer:
see explanation
Step-by-step explanation:
the perimeter is the sum of the 3 sides of the triangle
add the parts of the ratio 21 + 8 + 14 = 43
divide the perimeter by 43 to find the value of one part of the ratio
= 5 ft ← 1 part of the ratio, hence
21 parts = 21 × 5 = 105 ft
8 parts = 8 × 5 = 40 ft
14 parts = 14 × 5 = 70 ft
the 3 sides of the triangle are 105 ft, 40 ft and 70 ft
Answer:
Step-by-step explanation:
