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WITCHER [35]
2 years ago
6

Find the value of each of the variables.

Mathematics
1 answer:
Slav-nsk [51]2 years ago
3 0

Answer:B

Step-by-step explanation:

B

You might be interested in
Factorization of:
zubka84 [21]

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.

3 0
3 years ago
PLEASE HELP ASAP!! WILL GIVE BRAINIEST + 30 POINTS!!
Goryan [66]

Given rectangle RUTS, the missing reasons that justifies the five statements in the two-column proof are:

  1. Given
  2. Definition of rectangle.
  3. Definition of rectangle.
  4. By SAS Congruence Theorem.
  5. 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:

  1. Given
  2. Definition of rectangle.
  3. Definition of rectangle.
  4. By SAS Congruence Theorem.
  5. By CPCTC.

Learn more about properties of rectangle on:

brainly.com/question/2835318

6 0
2 years ago
A rectangular auditorium seats 1302 people. The number of seats in each row exceeds the number of rows by 11. Find the number of
sveticcg [70]
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 :)
8 0
2 years ago
the ratio of the measures of the sides of a triangle is 21:8:14. if the perimeter of the triangle is 215 ft, find the length of
Anestetic [448]

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

\frac{215}{43} = 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


6 0
3 years ago
Given that<br> x:8=2:x<br> Calculate the positive value of x.
kow [346]

Answer:

x = 4

Step-by-step explanation:

x : 8 = 2 : x \\  \frac{x}{8}  =  \frac{2}{x}  \\  \\ cross \:  \: multiple \\  {x}^{2}  = 16 \\ x =  \sqrt{16}  \\ x = 4

4 0
3 years ago
Read 2 more answers
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