Answer:
Step-by-step explanation:
Since side BC = side AD (because opposite side of a parallelogram are congruent)
Angle C = angle A(because opposite angles of a parallelogram are congruent)
side DC = side AB(because the opposite sides of a parallelogram are congruent. Therefore,
Triangle ABD is congruent to triangle CDB by the postulate of SAS which means side angle side.
Answer:
y = - 3x + 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Rearrange 2y = 14 + 
x into this form
Divide all terms by 2
y = 7 + 
x ← in slope- intercept form
with slope m =
Given a line with slope m then the slope of a line perpendicular to it is
= - 
= - 
= - 3, hence
y = - 3x + c ← is the partial equation of the perpendicular line
To find c substitute (- 2, 8) into the partial equation
8 = 6 + c ⇒ c = 8 - 6 = 2
y = - 3x + 2 ← equation of perpendicular line
We suggest, that the number 32 is 100% - because it is the output value of the task.
<span>We suggest, that x is the value that we are looking for. </span>
<span>3. If 32 is 100%, so we can jot it down as 32=100%. </span>
<span>4. We know for sure, that x is 15% of the output value, so we can jot it down as x=15%. </span>
5. Now, these are the equations are we have.
1) 32=100%
2) x=15%
where the left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
32/x=100%/15%
6. Now we just have to work out the equation, and we'll get the answer that we want.
7. Answer for what is 15% of 32
32/x=100/15
<span>(32/x)*x=(100/15)*x - </span>multiply both sides of the equation by x
<span>32=6.66666666667*x - </span>divide both sides of the equation by (6.66666666667) to get x
<span>32/6.66666666667=x </span>
<span>4.8=x </span>
x=4.8
<span>15% of 32=4.8
So, the answer is $4.8
Hope this helped</span>
Step-by-step explanation:
hope it's helpful.........
