Step-by-step explanation:
<h2>Answer:-</h2><h3>Given ,</h3>
The figure is Similar.
Observation:-
Similar figures have similar sides. If we see carefully in smaller triangle, 3 has been added to each side and they are similar. We need to find y.
We have :-
5+3=8 as similar sides.
So, applying same algorithm,
is the answer.
Hope it helps :)
We will determine the length of the segment DF as follows:
*We have that the triangles are similar, and therefore the following is true:
Now, we solve for DF:
From this, we have that the length of the segment DF equals 2.68 units.
Answer:
It's not possible.
Step-by-step explanation:
The center of the star shape is like a circle. And the measure of a circle is 360 degrees. But because the measure of the rhombus's angle is 50 degrees, it is not possible. 50 x 8 = 400
d<em>y</em>/d<em>x</em> = 4 + √(<em>y</em> - 4<em>x</em> + 6)
Make a substitution of <em>v(x)</em> = <em>y(x)</em> - 4<em>x</em> + 6, so that d<em>v</em>/d<em>x</em> = d<em>y</em>/d<em>x</em> - 4. Then the DE becomes
d<em>v</em>/d<em>x</em> + 4 = 4 + √<em>v</em>
d<em>v</em>/d<em>x</em> = √<em>v</em>
which is separable as
d<em>v</em>/√<em>v</em> = d<em>x</em>
Integrating both sides gives
2√<em>v</em> = <em>x</em> + <em>C</em>
Get the solution back in terms of <em>y</em> :
2√(<em>y</em> - 4<em>x</em> + 6) = <em>x</em> + <em>C</em>
You can go on to solve for <em>y</em> explicitly if you want.
√(<em>y</em> - 4<em>x</em> + 6) = <em>x</em>/2 + <em>C</em>
<em>y</em> - 4<em>x</em> + 6 = (<em>x</em>/2 + <em>C </em>)²
<em>y</em> = 4<em>x</em> - 6 + (<em>x</em>/2 + <em>C </em>)²
