1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Andrei [34K]
3 years ago
12

The area of trapezium is 352 cm2. The distance between the parallel

Mathematics
1 answer:
Naddik [55]3 years ago
5 0

Answer:

18cm

Step-by-step explanation:

Area of Trapezium = 1/2(a + b) h

Where:

A = 352cm^2

h = distance between parallel sides = 16cm

a = 25cm

b = ?

352 = 1/2 (25 + b) 16

352 = (25 + b) 8

352 = 200 + 8b

352 - 200 = 8b

152 = 8b

152/8 = b

19= b

→b = 19cm

The other parallel side is 19cm.

You might be interested in
Determine the missing number in the equation 13-2=12-?​
soldier1979 [14.2K]

For the equation to work, you have to have the same number on both sides of the equal sign

so to find ?, you can do:

13 - 2 = 12 - ?       Simplify

11 = 12 - ?       Subtract 12 on both sides

-1 = - ?     Multiply -1 on both sides

1 = ?

5 0
3 years ago
Find the measure of
AVprozaik [17]

Answer:

55

Step-by-step explanation:

since b is 110, you will have to divide 110 by 2 to find out the answer of c because its a half of b and that leaves you with 55, also a is 55 two

c=55

a=55

d=30

7 0
3 years ago
Read 2 more answers
(a) Let R = {(a,b): a² + 3b <= 12, a, b € z+} be a relation defined on z+)
grin007 [14]

Answer:

R is an equivalence relation, since R is reflexive, symmetric, and transitive.

Step-by-step explanation:

The relation R is an equivalence if it is reflexive, symmetric and transitive.

The order to options required to show that R is an equivalence relation are;

((a, b), (a, b)) ∈ R since a·b = b·a

Therefore, R is reflexive

If ((a, b), (c, d)) ∈ R then a·d = b·c, which gives c·b = d·a, then ((c, d), (a, b)) ∈ R

Therefore, R is symmetric

If ((c, d), (e, f)) ∈ R, and ((a, b), (c, d)) ∈ R therefore, c·f = d·e, and a·d = b·c

Multiplying gives, a·f·c·d = b·e·c·d, which gives, a·f = b·e, then ((a, b), (e, f)) ∈R

Therefore R is transitive

From the above proofs, the relation R is reflexive, symmetric, and transitive, therefore, R is an equivalent relation.

Reasons:

Prove that the relation R is reflexive

Reflexive property is a property is the property that a number has a value that it posses (it is equal to itself)

The given relation is ((a, b), (c, d)) ∈ R if and only if a·d = b·c

By multiplication property of equality; a·b = b·a

Therefore;

((a, b), (a, b)) ∈ R

The relation, R, is reflexive.

Prove that the relation, R, is symmetric

Given that if ((a, b), (c, d)) ∈ R then we have, a·d = b·c

Therefore, c·b = d·a implies ((c, d), (a, b)) ∈ R

((a, b), (c, d)) and ((c, d), (a, b)) are symmetric.

Therefore, the relation, R, is symmetric.

Prove that R is transitive

Symbolically, transitive property is as follows; If x = y, and y = z, then x = z

From the given relation, ((a, b), (c, d)) ∈ R, then a·d = b·c

Therefore, ((c, d), (e, f)) ∈ R, then c·f = d·e

By multiplication, a·d × c·f = b·c × d·e

a·d·c·f = b·c·d·e

Therefore;

a·f·c·d = b·e·c·d

a·f = b·e

Which gives;

((a, b), (e, f)) ∈ R, therefore, the relation, R, is transitive.

Therefore;

R is an equivalence relation, since R is reflexive, symmetric, and transitive.

Based on a similar question posted online, it is required to rank the given options in the order to show that R is an equivalence relation.

Learn more about equivalent relations here:

brainly.com/question/1503196

4 0
2 years ago
Help 1-8 I need answers and show work!!!
agasfer [191]

Answer:

hope this helps you out good luck

6 0
3 years ago
What is the sum of 506,211 and 424,809
Allushta [10]
506,211+424,809=931,020 sum means add hope this helps
6 0
3 years ago
Read 2 more answers
Other questions:
  • (5x – 3y + 8) + (-3x + 6y - 3)​
    11·1 answer
  • Properties to find the answer of 8x51
    9·1 answer
  • In the function y=5x^2-2, what effect does the number 5 have on the graph, as compared to the graph of y=x^2?
    10·2 answers
  • Multiple Choice Precalculus Question!
    14·2 answers
  • What is the product of all constants $k$ such that the quadratic $x^2 + kx +15$ can be factored in the form $(x+a)(x+b)$, where
    14·1 answer
  • SUPER EASY!!!! 30 points!!!!!! Easy Elamentray school HW !!!!!!!! PLZ HELP!!!!
    15·2 answers
  • What is the missing angle?
    15·2 answers
  • Gator Brews manufactures three types of brews: A, B, and C. These brews are produced via twa production processes: 1 and 2. Runn
    13·1 answer
  • What is the area of this trapezoid?
    15·1 answer
  • Help pleaseeeeee fast
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!