Answer:
78
Step-by-step explanation:
x+y=10
x-y=8, x=y+8
y+8+y=10
2y=2
y=1
So, x=10-y=10-1=9.
Numbers Would be 9 and 1.
The definition of similar triangles says that 2 triangles are similar if they have the same shape but different size. There are two criteria to check for this:
1) If all angles in one triangle are equal to the angles in another one, then the 2 are equal.
2) If the sides have the same proportions, then the 2 triangles are similar.
1) We have that all the angles of the 2 triangles have an equal angle in the other triangle. In specific, Q is matched to B, P to A and R to C. Hence, since corresponding angles are congruent, the two triangles are similar.
2) Here we are given information about the sides of the triangles, so we will check the second criterion. We form the ratio of the largest sides of each trangle and the shortest sides. 30/5=6. For the shortest sides, 18/3=6. Finally for the middle sides, 24/4=6. Hence, we have that the triangles are similar since the ratios are equal. (it doesn't matter whether we take the bigger or the smaller side as a numerator, as long as we are consistent).
Answer:
The correct answer is: Option D) 5
Step-by-step explanation:
Given equation is:
In order to find that which values of x makes the equation true, we have to put each value of x in the equation. When both sides of equations will be equal, that value of x will be true for the equation.
Putting x = 2
Putting x = 3
Putting x=4
Putting x = 5
The equation is true for x = 5
Hence,
The correct answer is: Option D) 5
The slope of any function is its first derivative.
If f(x)=x^2, then f'(x)= 2x .
At x=5, slope = f'(x) = 2(5) = <em>10</em> .
