Answer:
The value of x is 8cm. The length of 3 sides are 8cm, 15cm and 17cm.
Step-by-step explanation:
Using Pythagoras' Theorem, a²+b² = c² :
Let a be x cm,
Let b be x+7 cm,
Let c be 2x+1 cm
x² + (x+7)² = (2x+1)²
x² + x² + 14x + 49 = 4x² + 4x + 1
2x² + 14x + 49 = 4x² + 4x + 1
Then, move all the variables to one side and solve it to find the value of x :
4x² + 4x + 1 - 2x² - 14x - 49 = 0
2x² - 10x - 48 = 0
2(x² - 5x - 24) = 0
x² - 5x - 24 = 0
(x-8)(x+3) = 0
x - 8 = 0
x = 8 cm
x + 3 = 0
x = -3 cm (rejected)
Substitute the x value into the length of a,b and c :
a = x
= 8 cm
b = x + 7
= 8 + 7
= 15 cm
c = 2x + 1
= 2(8) + 1
= 16 + 1
= 17 cm
The answer is: " 12 " .
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→ " x = 12 " .
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To solve:
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3x - 1 = x + 23 ; Solve for "x" ;
Subtract "x" from each side of the equation; & add "1" to each side of the equation;
3x - 1 - x + 1 = x + 23 - x + 1 ;
to get:
2x = 24 ;
Divide each side of the equation by "2" ;
to isolate "x" on one side of the equation; & to solve for "x" ;
2x/2 = 24/2 ;
to get:
x = 12 .
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Let us check our answer, by plugging in "12" for "x" ; on EACH side of the original equation; to see if the equation holds true; {that is, to see if each side of the original equation is equal, when "x = 12" } ; as follows:
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3x - 1 = x + 23 ;
Substitute "12" for "x" on each side ;
3(12) - 1 =? (12) + 23 ??
36 - 1 =? 35 ??
35 =? 35?? Yes!
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Answer:
Translate figure A down 4 units and left 6 units, and dilate it by a scale factor of 3.
Step-by-step explanation:
is your answer
hope it helps you
Answer:
There are 25 students in Hannah's class.
Step-by-step explanation:
If 20 students in Hannah's class is 80% of the total amount of students, we can use a variable to figure out the total amount of students.
Let's say x is the total amount of students. We can use this equation to solve the problem:

This is saying 20 equals 80% (.8 when you move the decimal 2 times) of x, or the total amount of students. Let's solve.
20 = .8x
Divide by .8
25 = x
There are 25 students in Hannah's class.
At around 20'000ft. and higher.