Answer:
x=17
Step-by-step explanation
i just did the exact same question on a test and got it right .
10x^2 = 50x.....subtract 50x from both sides
10x^2 - 50x = 0...factor
10x(x - 5) = 0
10x = 0
x = 0 <== this one is eliminated because x cannot be zero
x - 5 = 0
x = 5 <== ur answer
Answer:
<u>2/5 < 5/8 < 6/7 < 1 </u>
<u>OR</u>
<u>1 > 6/7 > 5/8 > 2/5</u>
Step-by-step explanation:
It is required to compare Two-fifths, Six-sevenths, Five-eighths, and 1
Two-fifths = 2/5
Six-sevenths = 6/7
Five-eighths = 5/8
So, the given numbers are: 2/5, 6/7, 5/8, and 1
We need to make the numbers in order from the least to the greatest or from the greatest to the least
The easy method is convert the rational numbers to decimal numbers
So,
2/5 = 0.4
6/7 ≈ 0.857
5/8 = 0.625
1 = 1
So, the numbers form the least to the greatest are:
0.4 , 0.625 , 0.857 , 1
So,
2/5 , 5/8 , 6/7 , 1
The inequality correctly compares the numbers are:
<u>2/5 < 5/8 < 6/7 < 1</u>
Or can be written from the greatest to the least as:
<u>1 > 6/7 > 5/8 > 2/5 </u>
Answer:
Step-by-step explanation:
The opposite angles in a quadrilateral theorem states that when a quadrilateral is inscribed in a circle, the angles that are opposite each other are supplementary, their degree measures add up to 180 degrees. One can apply this here by using the sum of (<C) and (<A) to find the measure of the parameter (z). Then one can substitute in the value of (z) to find the measure of (<B). Finally, one can use the opposite angles in a quadrilateral theorem to find the measure of angle (<D) by using the sum of (<B) and (D).
Use the opposite angles in an inscribed quadrialteral theorem,
<A + <C = 180
Substitute,
14x - 7 + 8z = 180
Simplify,
22z - 7 = 180
Inverse operations,
22z = 187
z = 
Simplify,
z = 
Now substitute the value of (z) into the expression given for the measure of angle (<B)
<B = 10z
<B = 10()
Simplify,
<B = 85
Use the opposite angles in an inscribed quadrilateral theorem to find the measure of (<D)
<B + <D = 180
Substitute,
85 + <D = 180
Inverse operations,
<D = 95
Answer: y = 3x/4 + 22
Step-by-step explanation:
The equation of line l is -3y + 4x = 9
-3y + 4x = 9
3y = 4x -9
y = (4x -9)/3= 4x/3 - 3
From the slope-intercept equation,
y = mx +c
Where m= slope
Comparing both equations, we have
m = 4/3
If the new line that parallel to line l, that means they have the same slope
So, slope if new line is 3/4.
Points =(-12, 6)
From y = mx + c
x = -12,y = 6
6= 4/3 × -12 + c
6 = -16 + c
c = 6 + 16 = 22
Therefore
The equation of the line that is parallel to line l and passes through the point (-12,6) ,
y = 3x/4 + 22
