<u>Complete Question:
</u>
An isosceles triangle has two sides of equal length. The third side is 5 less than twice the length of one of the other sides. If the perimeter of the triangle is 23 cm, what is the length of the third side The third side is described in relation to one of the equal sides, so let x = the length of one of the equal sides. Which equation models the problem?
O x + x + (5 – 2 x) = 23
O x + x + (2 x – 5) = 23
O x + x + (2 x + 5) = 23
O X + (2 x - 5) + (2 x - 5) = 23
<u>Answer:
</u>
The equation models the problem is x + x + (2 x – 5) = 23
<u>Step-by-step explanation:</u>
Given:
An isosceles triangle has two sides of equal length, so let x = the length of one of the equal sides
.
The third side is 5 less than twice the length of one of the other sides. So, the third side is described as 2 x - 5.
The perimeter is the sum of the side lengths and given it as 23. Therefore, form the equation as below,
Perimeter = x + x + (2 x-5)
Given perimeter of triangle = 23 cm. Hence,
x + x + (2 x-5) = 23
The above equation models the given problem.
Answer:
398
Step-by-step explanation:
multiply 15 by 26 then add 8. check answer by dividing 398 by 26 using long division, not a calculator. you will get a decimal or fraction if you do
Answer:
The probability that cards # 1, # 2, and # 3 are still in order on the top of the stack is 0.045%.
Step-by-step explanation:
Since a politician is about to give a campaign speech and is holding a stack of thirteen cue cards, of which the first 3 are the most important, and just before the speech, she drops all of the cards and picks them up in a random order, to determine what is the probability that cards # 1, # 2, and # 3 are still in order on the top of the stack, the following calculation must be performed:
1/13 x 1/13 x 1/13 = X
0.076 x 0.076 x 0.076 = X
0.00045 = X
0.00045 x 100 = 0.045
Therefore, the probability that cards # 1, # 2, and # 3 are still in order on the top of the stack is 0.045%.
Answer:
B
Step-by-step explanation:
A geometric sequence has a common ratio r between consecutive terms
r = 
= 
= ...
= 2
= 2
= 2
There is a common ratio of 2 between consecutive terms.
Hence sequence is geometric → B
