Answer:
6.7i + 7.4j
Step-by-step explanation:
if the angle starts from the East (direction of positive x-axis)
then the y (j) component is 10*sin(42) = 6.7
and x (i) component is 10*cos(42) = 7.4
Answer:
The angle in the upper right quadrilateral corner = 68 degrees because vertical angles are equal.
Angle Y = 68 (opposite quadrilateral angles are equal).
All quadrilateral angles add to 360 so:
68 + 68 + x + z = 360 = 292
angle X + Z = 292
Therefore angle x = angle z = 146
Step-by-step explanation:
Answer:
Here look at this graph this is your answer.
<h3>Given</h3>
Three numbers are n, 8n, and (100+n).
Their total is 690.
<h3>Find</h3>
the three numbers
<h3>Solution</h3>
n + 8n + (n+100) = 690
10n + 100 = 690 . . . . . . . simplify
10n = 590 . . . . . . . . . . . . subtract 100
n = 59
8n = 472
n +100 = 159
The three numbers are 59, 472, and 159.
Answer:
<h2>x = 3, y = 8</h2>
Step-by-step explanation:
We know:
The diagonals of the parallelogram are divided in half.
Therefore
EK ≅ KG and HK ≅ KF.
We have
EK = 7x + 5, KG = 3x + 17, HK = 3y - 11 and KF = y + 5
Equations:
(1) 7x + 5 = 3x + 17
(2) 3y - 11 = y + 5
Solutions:
(1)
7x + 5 = 3x + 17 <em>subtract 5 from both sides</em>
7x + 5 - 5 = 3x + 17 - 5
7x = 3x + 12 <em>subtract 3x from both sides</em>
7x - 3x = 3x - 3x + 12
4x = 12 <em>divide both sides by 4</em>
4x/4 = 12/4
x = 3
------------------------------
(2)
3y - 11 = y + 5 <em>add 11 to both sides</em>
3y - 11 + 11 = y + 5 + 11
3y = y + 16 <em>subtract y from both sides</em>
3y - y = y - y + 16
2y = 16 <em>divide both sides by 2</em>
2y/2 = 16/2
y = 8
