Answer:
x = 90
y = 100
z = -10
Step-by-step explanation:
To find x and y in the above parallelogram ABCD as shown above, recall that one of the properties of a parallelogram is: the consecutive angles in a parallelogram are supplementary.
This means that the sum of angle A and angle B in the parallelogram ABCD = 180°.
Thus,
(x + 30)° + (x - 30)° = 180°
Solve for x
x + 30 + x - 30 = 180
x + x + 30 - 30 = 180
2x = 180
Divide both sides by 2
2x/2 = 180/2
x = 90
=>Find y:
Also, recall that opposite angles in a parallelogram are congruent.
This means, angle A and angle C in parallelogram ABCD above are equal.
Thus,
(x + 30)° = (y + 20)°
Plug in the value of x to solve for y
90 + 30 = y + 20
120 = y + 20
Subtract 20 from both sides
120 - 20 = y
100 = y
y = 100
=>Find z, if z = x - y
z = 90 - 100
z = -10
Answer:
Range=2
Step-by-step explanation:
Range=Highest number-Lowest number
=5-3=2
Hope it Help
Mark Me Brillainest
Answer:
<em>Vertex; ( - 1 / 2, 5 3/4 )</em>
Step-by-step explanation:
No need for a calculator, take a look at the procedure below;
The vertex of an up - down facing parabola of the form y = ax^2 + bx + c is x = -b / 2a;
The parabola params are given to be 1, 1, and 6, such that;
x = - 1 / 2 * 1,
x = - 1 / 2,
Now plug in this value of x into the quadratic function as to solve for y;
y = ( - 1 /2 )^2 - 1 /2 + 6,
y = 1 / 4 + 5 1 / 2,
y = 5 3/4
Thus the vertex has a minimum of ( - 1 / 2, 5 3/4 ),
<em>Vertex; ( - 1 / 2, 5 3/4 )</em>
Answer: 45b^4/32
Step-by-step explanation: First multiply the two fractions
15b^3y(3b)/8y x 4
Multiply 3 by 15
45b^3yb/8y x 4
Raise b to power of 1
45(b^1b^3)y/8y x 4
Use power rule to combine exponents
45b^1+3 y/8y x 4
Simplify
45b^4y/32y
Cancel common factor of y
45b^4/32
Answer:
(0,3)?
Step-by-step explanation:
