The side AB is equal to the side DE. Then the value of x is 6.
<h3>What is the triangle?</h3>
A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
Triangle ABC is congruent to triangle DEF.
If DE = 41, EF = 23, DF = 36, and AB = 8x − 7.
Then the side AB is equal to the side DE.
AB = DE
8x - 7 = 41
8x = 48
x = 6
Then the value of x is 6.
More about the triangle link is given below.
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Answer :
<h3>
<u>
=1048576 ways </u>
a student can answer the questions on the test if the student answers every question.</h3>
Step-by-step explanation:
Given that a multiple-choice test contains 10 questions and there are 4 possible answers for each question.
∴ Answers=4 options for each question.
<h3>
To find how many ways a student can answer the given questions on the test if the student answers every question :</h3>
Solving this by product rule
Product rule :
<u>If one event can occur in m ways and a second event occur in n ways, the number of ways of two events can occur in sequence is then m.n</u>
From the given the event of choosing the answer of each question having 4 options is given by
The 1st event of picking the answer of the 1st question=4 ,
2nd event of picking the answer of the 2nd question=4 ,
3rd event of picking the answer of the 3rd question=4
,....,
10th event of picking the answer of the 10th question=4.
It can be written as by using the product rule



<h3>∴ there are 1048576 ways a student can answer the questions on the test if the student answers every question.</h3>
All of the surfaces are rectangular
Step-by-step explanation:

Answer:
$342.30
Step-by-step explanation:
The original price of the computer is $489. The computer is discounted 30%, which means that 30% of the price is removed from the original price.
30% of 489 is
489 * 0.3 which is $146.7
146.7 is the discounted amount, not the selling price. To find the selling price, subtract how much is discounted ( 146.7) from the original price (489).
489-146.7= 342.3