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:
<h3>

</h3>
Step-by-step explanation:
Given,
diameter ( d ) = 12 in
height ( h ) = 15 in
<u>finding </u><u>the </u><u>radius </u><u>of </u><u>a </u><u>cylinder</u>
Radius is just half of diameter.
Radius ( r ) = 12 / 2 = 6 in
<u>finding </u><u>the </u><u>volume </u><u>of </u><u>a </u><u>cylinder </u><u>having </u><u>radius </u><u>of </u><u>6</u><u> </u><u>in </u><u>and </u><u>height </u><u>of </u><u>1</u><u>5</u><u> </u><u>in</u>
Volume of a cylinder = <u>
</u>
⇒
⇒
⇒<u>
</u>
Hope I helped!
Best regards!!
Answer:
See below
Step-by-step explanation:
to find the slope of a line you need to use the formula y1-y2/x1-x2
2. the points are (3,2) and (1,-2)
y1-y2 = 2--2 = 4
x1-x2 = 3-1 = 2
4/2 is the same as 2
3. (1,4) and (2,1)
4-1=3
1-2=-1
3/-1 = -3
the slope is -3
4. (6,5) and (3,1)
5-1 = 4
6-3 = 3
4/3
the slope is 4/3
They are linear.
hope it helps goodluck
I would say that it's an acute angle ....