Answer:the original price is $680
Step-by-step explanation:
1/4(x)=170
4×1/4(x)=4×170
x=$680
Answer:
The hypotenuse is 68
Step-by-step explanation:
To find the length of the hypotenuse of a a right angled triangle, we use the Pythagoras Theorem
c² = a² + b²
where c = hypotenuse, a = height, 32 and b = width, 60
Substitute the value 32 and 60 for a and b respectively in the above formula, and we will have
c² = 32² + 60²
c² = 1024 + 3600
c² = 4624
c = √4624
c = 68
Answer:
AD = 10
Step-by-step explanation:
It's given that ABCE is a rectangle.
Therefore, measure of opposite sides of the rectangle will be equal.
AB = EC
AB = ED + DC
12 = ED + 4
ED = 8
Measure of side AE = 6
Since, measure of interior angles of a rectangle = 90°
Therefore, ΔEAD will be a right triangle.
By Pythagoras theorem,
AD² = AE² + ED²
= 6² + 8²
AD = 
= 
= 10
Therefore, measure of side AD = 10 units
Answer:
Length of Bar JK=l
Bar (JK) is dilated by a scale factor of n, having origin as the center of dilation.
New line segment formed named bar (J'K').
As given slope of bar(JK) =m
When we dilate a line segment with respect to origin , having origin as the center of dilation, there is no effect of slope on Dilation.
Length of bar (J'K')= (Length of bar JK)×(Scale factor)
= l×n Or n×l
Option (D) is correct.
The clues translate to
n/d = 2/3
(n+2)/(d+2) = 3/4
Solving this by cross multiplying both:
3n = 2d
3(d+2) = 4(n+2) => 3d + 6 = 4n + 8
then substituting d = 3/2 n in the second:
9/2n - 4n = 2 => 1/2 n = 2 => n = 4
if n=4 then d = 3/2*4 = 6.
So the original fraction was 4/6
