From the graph, we see that two similar triangles are created by using the slope of the line.
• Because the two triangles appear to have congruent angles and proportional side lengths, we can conclude with the information we have that the two triangles are indeed similar. They are the same shape but proportional with congruent angles.
• Therefore, a/b = c/d because the scale factor remains the same of both ratios.
•We can also see that in larger triangle, the slope = 3/6 and the slope of the smaller one = 2/4. 3/6 = 2/4 because 3/6 = 1/2 and 2/4 = 1/2. Therefore, the slopes are proportional and equal.
• Because the slopes are proportional and the triangles are proportional, the a/b = c/d.
Answer:
7z -3x -3 is the solution to the equation
Step-by-step explanation:
7z -5 -3x +2
7z -3x -5+2
7z -3x -3
Answer:
64 cherries
Step-by-step explanation:
Given that
There are 280 pieces of fruit in a fruit salad
There are twice as many raspberries as blueberries,
three times as many grapes as cherries,
and four times as many cherries as raspberries
We need to find out the number of cherries in the fruit salad
So,
Let us assume the blueberries be x
So, the raspberries be 2x
Cherries be 8x
And, grapes be 24x
Now
x + 2x + 24x + 8x = 280
35x = 280
x = 8
hence, the No of cherries in the salad
= 8 x
= 8(8)
= 64 cherries
Answer:
C) x^2 + y^2 = 16
Step-by-step explanation:
<h2><u>Find the equation </u></h2>
since the radius is 4 this means that anywhere from the center of the circle to the edge of the circle is 4. hence :
place the horizontal line of the radius where y = 0 .
this means that if y = 0 , then x = 4
therefore :
x^2 + y^2
4^2 + 0^2
= 16
<h3><u>hence the answer is C ) x^2 + y^2 = 16</u></h3>
