Answer: m∡7 = 57° .
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Explanation:
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m∡7 = m∡1 ; SInce these angles are vertical; and vertical angles are congruent.
m∡1 + m∡2 = 180 ; since these angles are supplementary; and by definition; supplementary angles "add up" to 180.
Given: m∡2 = 123 ;
m∡1 + 123 = 180 ;
Since m∡1 = m∡7 ; and we wish to find: "m∡7" ; we can rewrite as:
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m∡7 + 123 = 180 ; solve for "m∡7" ;
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Subtract "123" from EACH SIDE of the equation:
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m∡7 + 123 - 123 = 180 - 123 ;
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m∡7 = 57° .
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Answer:
x=20
Step-by-step explanation:
This is a right triangle, so we can use the pythagorean theorem to help us find x.
The the theorem states that the sum of the legs squared is equal to the length of the hypotenuse squared.
Thus, our equation is:
x^2+48^2=52^2
Simplify.
x^2+2304=2704
Subtract 2304 from both sides.
x^2=400
Find the square root of both sides.
x=20
Answer:
Cameron’s solution is unreasonable because 17 times 9 is 153, and 153 is not close to his product.
Step-by-step explanation:
Area of a rectangle:
The area of a rectangle, of length l and height h, is given by:
The length of a rectangular wall is 16.5 feet. The height of the wall is 8.625 feet.
This means that 
Estimate of the area:
To use an "easy" multiplication, lets consider 
. So
Cameron determines the area of the wall to be 1423.125 square feet.
Very far from the area of 153, which means that he made a confusion with the decimal places. Thus, the correct answer is:
Cameron’s solution is unreasonable because 17 times 9 is 153, and 153 is not close to his product.
It would round up to 1,244,000
You simply plug in the value of x in each equation to find y.
1)
y = 7 - 3(2)
y = 7 - 6
y = 1
2)
y = 18/2
y = 9
hope this helped, blessings!
