Answer: The answer is ∠TUV.
Step-by-step explanation: Given in the question a quadrilateral SVUT with ∠SVU = 112°. We need to determine the angle whose measure will decide whether or not the quadrilateral SVUT is a trapezoid.
We know that for a quadrilateral to be a trapezoid, we need only one condition that one pair of opposite sides must be parallel.
So, in quadrilateral SVUT, since the measure of ∠SVU is given, so we can decide it is a trapezoid or not if we know the measure of ∠TUV. As ST and UV cannot be parallel, so its meaningless to determine ∠TSV.
For SV and TU to be parallel to each other, we need
∠SVU + ∠TUV = 180° (sum of interior alternate angles).
Therefore,
∠TUV = 180° - 112° = 68°.
Thus, we need to determine ∠TUV and its measure shoul be 68°.
The slope-intercept form:
y = mx + b
m - slope
b - y-intercept
We have m = 3 and b = -3. Substitute:
<h3>y = 3x - 3</h3>
If you think about it, the question is asking us to find the greatest common factor, or GCF, of the two numbers, 24 and 18.
First, find all of the factors of 24.
The factors are: 1, 2, 3, 4, 6, 8, 12, 24
Next, find the factors of 18.
The factors are: 1, 2, 3, 6, 9, 18
List out all of the factors that both of the numbers have.
The factors are: 1, 2, 3, 6
Whichever is the greatest of these numbers is the GCF.
The GCF is 6, so the greatest number of groups he can make and still be able to win is 6.
Hope this helps!
Answer:
42
Step-by-step explanation:
Let the number be "x"
We translate the word equation to algebraic equation.
First,
subtract 6 from me, so we have:
x - 6
Now,
Multiply by 2, so we have:
2(x-6)
Now,
Subtract 40, then divide by 4:
Now, you get "8", so equate this to 8, we get:
We now solve using algebra:
The number is 42
Answer:
x = 8
Step-by-step explanation:
A line with an undefined slope is a vertical line parallel to the y- axis, with equation
x = c ( c is the value of the x- coordinates the line passes through )
The line passes through (8, - 2) with x- coordinate 8 , thus
x = 8 ← equation of line