The answer is 76. multiply 15 times 4 which is 60.
and the triangle is the difference of the sides, so 19-15=4.
so then multiply the base and height, this leaves 4x4 which is 16.
then add the two. 60+ 16= 76
Answer:
see explanation
Step-by-step explanation:
To complete the square
add ( half the coefficient of the x- term )² to x² - 2x
x² + 2(- 1)x + 1
(x² - 2x + 1 = (x - 1)²
Answer:
Step-by-step explanation:
Given that,
y = x + 6 equation 1
3x - 3y = -18. Equation 2
Substitute equation 1 into equation 2
3x-3(x+6) = -18
3x - 3x - 18 = -18
-18 = -18
Therefore, it has no solution. Check attachment for echelon matrix solution
B. y = -2x + 5 equation 1
2x + y = -7. Equation 2
Substitute equation 1 into 2
2x -2x + 5 = -7
5 = -7
Since the equation is not balance, then, it has infinite numbers of solution.
C. y = -4x + 11. Equation 1
6x + y = 11. Equation 2
Substitute equation 1 into 2
6x - 4x + 11 = 11
2x = 11 - 11
2x = 0
x = 0
Also, y = -4x + 11
y = 0 + 11 = 11
Then, this has a unique solution I.e. one solution.
Answer:
The correct option is A.
A) m, because ΔABC ~ ΔEDC
Step-by-step explanation:
Consider the both triangles.
<B = 60°
<D = 60°
<B and <D are congruent
<ACB = 90°
<DCE = 90°
<ACB and < DCE are also congruent.
As sum of the angles of triangle is 180°
<A = 180° - <ACB - <B
<A = 180° - 90° - 60
<A = 30° = m
<E = 180° - <DCE - <D
<E = 180° - 90° - 60°
<E = 30°
As m = 30°
<E = <CED = m
As segment AD cuts segment BE, which results in formation of two triangle, and as all angles of both triangles are equal, both triangles are similar.
