One side of an isosceles triangle has a length of 19 m. The lengths of the other two sides are equal to one another, but are unknown. If the perimeter of the triangle is 51 m, what is the length of each unknown side?

Answers

Answer 1

Answer: Let x= side 1= 19
Let y= side 2=unknown
Let z= side 3=unknown
Since it is an isosceles triangle, two sides are equal, which happen to be y and z
Hence y=z

Perimeter of a triangle = Sum of all three sides
= x+y+z
51=19+2y [since we know x=19 and y=z, we know the perimeter is 51]
Solve now
32=2y
16=y
Since y=z
z= 16
Hence the unknown side's length is 16m

Answer 2

Answer: So the perimeter is 51. The base is 19. Subtract 19 from 51. 51 - 19 = 32. So 32 is the total length of the two equal unknown sides added together. Because the two sides must be equal, you can just divide 32 by 2. 32/2 = 16. Each of the two congruent sides are 16 m.

Related Questions

What is the value of x, when 10(x + 2) = 5(x + 8)?
What is the term of a 7-term geometric series if the first term is -11 the last term is -45,056 and the common ratio is -4
Find the product of 3/8 x 2
Find a pair of irational numbers whose sum is irational
Suzanna wants to measure a board, but she doesn't have a ruler to measure with. However, she does have several copies of a book that she knows is 17 centimeters tall. a. Suzanna lays the books end to end and finds that the board is the same length as 21 books. How many cenimeters long is the board?

Given: B is the midpoint of AC
EB=BC

Prove: AB=BC

Answers

Answer:

Step-by-step explanation:Since B is the midpoint of AC, this means that AB and BC are equal in length, as the midpoint of a line segment divides it into two equal parts.

2. Let's assume that AB is not equal to BC. In this case, one of the line segments AB or BC would be longer than the other.

3. Since EB = BC, if AB is longer than BC, then EB would be shorter than AB. But since B is the midpoint of AC, EB and BC should be equal in length.

4. Similarly, if BC is longer than AB, then EB would be longer than BC. But again, EB and BC should be equal since B is the midpoint of AC.

5. Since assuming AB is not equal to BC leads to contradictions, our assumption is false. Therefore, AB must be equal to BC.

The set of integers is closed under subtraction.
True
False

Answers

The answer of the integers is closed under subtraction is False

Answer:

false

Step-by-step explanation:

Evaluate the expression. write answer without exponets

64 to the 1/2 power

Answers

$64^(1)/(2)=√(64)=8$

$a^(n)/(m)=\sqrt[m]{a^n}\n\n\na^(1)/(n)=\sqrt[n]{a}$

(64)^(1/2) = (2^6)^(1/2) = 2^(6/2) = 2^3 = 8.

Find equations if the following lines: Line that is parallel to the graph of y = 3x – 2 and contains the point (-2,-5)

Answers

Y3to triangle pyramid -2

marshall took 36.75 to a fair. each ticket into the fair costs x dollars. marshall bought 3 tickets. which expression represents the amount of money, in dollars, that marshall had after he bought the tickets?

Answers

3x is less than, equal to 36.75

36.75 - 3x = the amount of money Marshall had after her bought the tickets.

What is the product of 3/5 of 10

Answers

First, I would change the 10 to 1/10 and write it out as 3/5 = x/10. Then, I would multiply 10 x 3 to get 30. Next, I would figure out 30 divided by 5. Therefore, your answer would be 6 :)

The solution of the product of the two given numbers 3/5 and 10 is 6.

An arithmetic procedure known as multiplication combines two or more integers to get the sum of the products. Along with addition, subtraction, and division, it is a fundamental mathematical operation.

The numbers being multiplied are referred to as the factors in multiplication, while the outcome is referred to as the product. The multiplication operation is indicated by the symbol "" or "*," and it has certain characteristics and regulations.

The two numbers will be multiplied as below,

P = 3/5 x 10

P = 3 x 2

P = 6

Therefore, the product is 6.

To learn more about multiplication follow

brainly.com/question/28773316

#SPJ6

Other Questions

Rico thinks of a number between 30 and 40 that is represented by x . • This number, x , is 3 _ 4 of another number, which is represented by y . • The number represented by y equals 1 _ 3 of another number, which is represented by z . • The number represented by z is a number from 140 to 151. • The numbers represented by x , y , and z are whole numbers. (a) What are the values for x , y , and z ?

The order pair (0 , 0) is a solution to the inequality y < x -2 FalseorTrue

Answer correctly thank youuu

Movie tickets cost $6 for a child and $10 for an adult. A showing of a movie brought in $600 in ticket sales.