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WARRIOR [948]
2 years ago
8

Seth is using the figure shown below to prove the Pythagorean Theorem using triangle similarity:

Mathematics
1 answer:
algol132 years ago
4 0

Answer:

did you ever get the answer?

Step-by-step explanation:

You might be interested in
On Monday 430 students went on a trip to the zoo all 9 buses were filled and seven students had to travel in cars how many stude
tankabanditka [31]

Answer: 47 students

Step-by-step explanation:

430 students went on a trip with the majority of them going on buses.

7 students however, had to use cars.

The number of students who used buses are:

= 430 - 7

= 423 students

The number of students in each bus is:

= No. of students taking buses / no. of buses

= 423 / 9 buses

= 47 students

7 0
3 years ago
Find each measurement. Assume that each figure is not drawn to scale.
ivanzaharov [21]

Answer:

1) 2 1/4 inches (2.25)

2) 5.3 millimeters

3) X=10 and YZ=60

Step-by-step explanation:

Number 1, you just add the measurements because n and q is the start and end of the line segment.

Number 2, you are given the whole measurement, and you know FG which is 9.7, so you subtract the 15 (whole measurement) by 9.7, which is 5.3.

Number 3, you know that XY and YZ equal XZ, so 8x+1 would equal 81. Do the math, you would get 8x=80 and then x=8. Now you know x, plug it in for 6x, so 6(10)=60.

4 0
3 years ago
3x + 2y = 5 5x + 2y = 7 Based on the given system of equations, which of the following is not true? 2x = 2 8x = 12 4y = 4
weqwewe [10]
<h3>Answer:</h3>

8x = 12

<h3>Explanation:</h3>

Subtracting the first equation from the second, you get ...

... (5x +2y) -(3x +2y) = (7) -(5)

... 2x = 2 . . . . . the first answer choice is true

___

Multiplying this expression for x by 4, we get

... 8x = 8 . . . . . the second answer choice (8x=12) is false

___

Adding thee first equation to the second, you get ...

... (3x +2y) +(5x +2y) = (5) +(7)

... 8x +4y = 12

... 8 + 4y = 12 . . . . . . use the value of 8x just computed

... 4y = 4 . . . . . . . . . . subtract 8; the third answer choice is true

_____

<em>Alternate approaches</em>

In short, if you solve the system by any of the methods available, you find x=1 and y=1, so the second answer choice is clearly the correct one:

... 8x ≠ 12

By Cramer's method:

... x = (2·7-2·5)/(2·5-2·3) = 4/4 = 1

... y = (5·5-7·3)/4 = 4/4 = 1

By graphing, see attached.

By substitution (for 2y):

... 5x +(5-3x) =7 . . . . . using 2y=5-3x

... 2x = 2 . . . . . . subtract 5

... x = 1 . . . . . . . .divide by 2

... 5 -3·1 = 2y = 2 . . . . substitute x into the expression for 2y

... y = 1 . . . . . . . divide by 2

By matrix methods, see the second attachment. (x, y) = (1, 1), found in the rightmost column of the result.

6 0
3 years ago
Can a prime number be a multiple of any other number except itself. Explain why or why not
zzz [600]
No, by definition a prime number is one where the only factors are 1 and itself. If some prime number is a multiple of another number, then that other number is a factor of the prime number. But that would make it composite (non-prime)

For example, the number 11 is prime. The only factors are 1 and itself. If we made the claim that 11 is a multiple of 2, then 2 would be a factor of 11 making 11 non-prime (as it doesn't just have 1 and itself as factors).

Note: If you have two numbers A and B, and you say that A is a factor of B, then A is the smaller value. Though there is the exception when A = B. For example, saying "8 is a factor of 16" has 8 being the smaller value.

Another note: if you say "A is a multiple of B", then B is larger than A. The exception is when A = B. Example: "100 is a multiple of 5"
5 0
3 years ago
A cell phone company charges $15 for 100 minutes. What is the cost per minute? Round to the nearest cent.
Pavlova-9 [17]

Answer:

.15 dollars per minute.

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
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