Answer:
Length = 19m
Width = 8m
Step-by-step explanation:
Let the width be x meters
The length will be 2x + 3 meters
The perimeter is 56m
Perimeter is given by 2(length) + 2(width)
2(2x + 3) + 2x = 56m
4x + 6 + 2x = 56m
6x + 6 = 56m
6x = 56 - 6 = 50m
x = 50/6m
Simplifying gives;
x = 8m
Length = 2x + 3 that gives;
2(50/6) + 3 = 50/3 + 3
Working out further gives;
Length = 19m
Answer: See explanation
Step-by-step explanation:
3.) 140 and its supplementary angle form a straight line, basically, they sum up to 180°. That angle is y
y + 140 = 180
Subtract both sides by 140
<em>y = 40°</em>
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Seems both angles are congruent since they have the same label.
y + x + x = 180°
40 + 2x = 180
Subtract both sides by 40
2x = 140
Divide both sides by 2
x = 70°
4.) The missing angle = y
2x - 14 + 3x + 2 + y = 180
5x - 12 + y = 180
Subtract 5x from both sides
-12 + y = - 5x + 180
Add 12 to both sides
y = -5x + 180 + 12
y = -5x + 192
3x + 2 + 2x - 14 - 5x + 192 = 180
3x + 2x - 5x + 2 - 14 + 192 = 180
0 + 180 = 180
<em>180 = 180</em>
That's correct I guess.
5.) Missing angle = y
2x + 8 + 5x + y = 180
7x + 8 + y = 180
Subtract 7x from both sides
8 + y = -7x + 180
Subtract 8 from both sides
y = -7x + 180 - 8
y = -7x + 172
2x + 8 + 5x - 7x + 172
2x + 5x - 7x + 8 + 172 = 180
0 + 180 = 180
<em>180 = 180</em>
I.. think that's correct..?
6.) Missing angle = y
134 + y = 180
Subtract 134 from both sides
<em>y = 46°</em>
<em />
x + 46 + 22 = 180
x + 68 = 180
Subtract 68 from both sides
x = 112°
#4 and #5 were honestly sooo confusing. I just did whatever but I hope this is correct lol.
Answer:
There is one solution
Step-by-step explanation:
2x + y = -1
8x + 3y = -2
Multiply the first equation by -4
-8x -4y = 4
Then add the equations together to eliminate x
-8x -4y = 4
8x + 3y = -2
--------------------
-y = 2
Multiply by -1
y =-2
Now find x
2x+y =-1
2x+-2 =-1
Add 2 to each side
2x-2+2=-1+2
2x=1
Divide by 2
x = 1/2
Answer:
x = 5
Step-by-step explanation:
Step 1: Write equation
-(1 + 7x) - 6(-7 - x) = 36
Step 2: Solve for <em>x</em>
- Distribute: -1 - 7x + 42 + 6x = 36
- Combine like terms: -x + 41 = 36
- Subtract 41 on both sides: -x = -5
- Divide both sides: x = 5
Step 3: Check
<em>Plug in x to verify it's a solution.</em>
-(1 + 7(5)) - 6(-7 - 5) = 36
-(1 + 35) - 6(-12) = 36
-(36) + 72 = 36
-36 + 72 = 36
36 = 36
For this case we can use the Pythagorean theorem to solve the problem.
We have then for the following complex number:
Using the Pythagorean theorem:
Rewriting we have:
Answer:
A complex number that has an absolute value of 5 is:
A)–3 + 4i