Answer:
<h2><em><u>
x = 52</u></em></h2>
Step-by-step explanation:
<em><u>Known:</u></em>
What to find = x
Exterior angle = 142
Right angle = 90
<em><u>Unknown:</u></em>
what unknown value is = ?
Interior angle = ?
<em><u>1. Find the angle of the interior angles.</u></em>
180 - 142 = 38
<em><u>2. Add the two known angles</u></em>
38 + 90 = 128
<em><u>3. Subtract from 180</u></em>
180 - 128 = 52
<h2><em><u>
x = 52 is the answer.</u></em></h2>
Hope this helped,
Kavitha Banarjee
C=2 times j
c=2j
o=j-6
c+j+o=58
subsitte j-6 for o and 2j for c
2j+j+j-6=58
4j-6=58
add 6 to both sides
4j=64
divide both sides by 4
j=16
sub back
c=2j
c=2(16)
c=32
o=j-6
o=16-6
o=10
curtis=32
olivia=10
jonathan=16
equations are
c+j+o=58
c=2j
o=j-6
<h3>
Answer: Choice C</h3>
Started in Quadrant II and ended in Quadrant IV.
==========================================================
Explanation:
Refer to the diagram below. It shows how the four quadrants are labeled using roman numerals. We start in the upper right corner (aka northeast corner) and work counterclockwise when labeling quadrant I, II, III, and IV in that order.
The green point A is located in quadrant II in the northwest. Meanwhile point B in red is in the southeast quadrant IV.
Therefore, we started in <u>quadrant II</u> and ended in <u>quadrant IV</u> which points us to <u>choice C.</u>
Answer:
h /r = 2.55
Step-by-step explanation:
Area of a can:
Total area of the can = area of (top + bottom) + lateral area
lateral area 2πrh without waste
area of base (considering that you use 2r square) is 4r²
area of bottom ( for same reason ) 4r²
Then Total area = 8r² + 2πrh
Now can volume is 1000 = πr²h h = 1000/πr²
And A(r) = 8r² + 2πr(1000)/πr²
A(r) = 8r² + 2000/r
Taking derivatives both sides
A´(r) = 16 r - 2000/r²
If A´(r) = 0 16 r - 2000/r² = 0
(16r³ - 2000)/ r² = 0 16r³ - 2000 = 0
r³ = 125
r = 5 cm and h = ( 1000)/ πr² h = 1000/ 3.14* 25
h = 12,74 cm
ratio h /r = 12.74/5 h /r = 2.55
I think the answer is KB//DM because they are on different lines and will never touch, they go sideways for eternity.
