Answer: x=1/2
she was wrong, it's supposed to be
Step-by-step explanation: 8(x−3)+7=2x(4−17)
Step 1: Simplify both sides of the equation.
8(x−3)+7=2x(4−17)
(8)(x)+(8)(−3)+7=2x(4−17)(Distribute)
8x+−24+7=−26x
(8x)+(−24+7)=−26x(Combine Like Terms)
8x+−17=−26x
8x−17=−26x
Step 2: Add 26x to both sides.
8x−17+26x=−26x+26x
34x−17=0
Step 3: Add 17 to both sides.
34x−17+17=0+17
34x=17
Step 4: Divide both sides by 34.
34x/34=17/34 x=1/2
<span>To convert 12.5 to a fraction, consider the decimal portion of the number, .5. Since .5 is in the tenth spot of the decimal, it may be read as five-tenths, or 5/10. To reduce it to lowest terms, find the lowest common denominator, 5, and divide each by that number to get 1/2, or one-half. Thus, the number is now 12 1/2. To convert this mixed number into an entirely rational fraction, multiply the whole number, 12, by the denominator, 2, to get 24, then add the numerator, to end up with 25. This is the new numerator, so the rational number is 25/2. To check the work, divide 25 by 2 on a calculator or as a decimal equation, yielding 12.5.</span>
Answer:
The measure of angle YUV is equal to 
Step-by-step explanation:
see the attached figure to better understand the problem
we have that
-----> given problem
so
------> by central angle
we know that
The triangle UZV is an isosceles triangle
because
so
-----> bases angle of the isosceles triangle
Remember that
The sum of the internal angles of a triangle is equal to 
so
substitute and solve for m<ZUV
------> by complementary angles
solve for m<YUZ
Answer:
Step-by-step explanation:
Answer:
AE = CF .
Why?
BD acts as a shape bisector because it cuts the entire rectangle in half from points B and D.
Given that <u>AE is perpendicular to BD</u>, and <u>CF is perpendicular to BD</u> (which we know BD is a bisector), that means that both AE and CF are of equal length inside the rectangle.
Another way to look at it is:
AE = CF because they are technically just vertical angles, shifted and displaced in a weird way; it is a different representation of vertical angles, only distorted. <em>(Don't use this as your answer though, it needs more context. I just want to make it look easier to comprehend.)</em>
