Answer:
90
Step-by-step explanation:
180°-104°=76°( sum of angles A and B)
76°÷2=38°
x=38°
Bcuz it is an isosceles triangle ( a triangle with 2 equal sides). So, angle B and A are equal. thats why 76° must be divided by 2.
180°-104°=76°(angles on a straight line)
180°-76°=104° (sum of angle A and C)
104°÷2=52°
y=52°
it is also an isosceles triangle.
x+y=38+52=90°
Answer:
q = -8, k = 2.
r = -6.
Step-by-step explanation:
f(x) = (x - p)^2 + q
This is the vertex form of a quadratic where the vertex is at the point (p, q).
Now the x intercepts are at -6 and 2 and the curve is symmetrical about the line x = p.
The value of p is the midpoint of -6 and 2 which is (-6+2) / 2 = -2.
So we have:
f(x) = 1/2(x - -2)^2 + q
f(x) = 1/2(x + 2)^2 + q
Now the graph passes through the point (2, 0) , where it intersects the x axis, therefore, substituting x = 2 and f(x) = 0:
0 = 1/2(2 + 2)^2 + q
0 = 1/2*16 + q
0 = 8 + q
q = -8.
Now convert this to standard form to find k:
f(x) = 1/2(x + 2)^2 - 8
f(x) = 1/2(x^2 + 4x + 4) - 8
f(x) = 1/2x^2 + 2x + 2 - 8
f(x) = 1/2x^2 + 2x - 6
So k = 2.
The r is the y coordinate when x = 0.
so r = 1/2(0+2)^2 - 8
= -6.
Answer:
x would equal -3
Step-by-step explanation:
want to get rid of 14 from each side so 14 - 14 would get rid of that 20 - 14 = 6 now you still have a negative 2x
-2x / -2x gives you X to be alone now divide 6 with -2 which gives you -3
Answer:
Associative Property
Commutative Property
Distributive Property
Identity Property
Step-by-step EXPLANATION
ASSOCIATIVE PROPERTY
In this property, irrespective of the regrouping between a number and the addent within a bracket, the sum, value does not change.
For example:
(A + B) + C = A + ( B + C)
COMMUTATIVE PROPERTY
In commutative Property, you will always get thesame results after changing the order or position of the addent.
For example:
A + B = A + B
Also,
A + B = B + A
DISTRIBUTIVE PROPERTY
Basically here, please note that, the sum (addition) of two numbers times a Third one is always equal to the sum of these numbers times the third one.
For Example:
A x (B + C) = AB + AC
IDENTITY PROPERTY
This property is the easiest of all, it simply says that "Add a number to Zero must always be that number".
For example:
A + 0 = A
B + 0 = B
C + 0 = C
HOPE THIS HELPED!
Answer:
A.
Step-by-step explanation:
Hope this helps!
