Answer:
(3, 2)
Step-by-step explanation:
Given the 2 equations
y = 2x - 4 → (1)
3x + y = 11 → (2)
Substitute y = 2x - 4 into (2)
3x + 2x - 4 = 11
5x - 4 = 11 ( add 4 to both sides )
5x = 15 ( divide both sides by 5 )
x = 3
Substitute x = 3 into (1) for corresponding value of y
y = (2 × 3) - 4 = 6 - 4 = 2
Solution is (3, 2)
A circle is a curve sketched out by a point moving in a plane. The equation that Mia will write is S = (360 × A)/(πR²).
<h3>What is a circle?</h3>
A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the centre.
Given the area of the sector of a circle is given by,
A = (πR²×S)/360°
Now, If Mia solved this equation for S, then the equation that she will write is,
S = (360 × A)/(πR²)
Hence, the equation that Mia will write is S = (360 × A)/(πR²).
Learn more about Circle:
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Greetings!
Let l represent the
length of the rectangle.
Let w represent the
width of the rectangle.
Isolate for the l in Equation #2.
Substitute
Equation #2 into Equation #1.
Combine Like Terms.
Distribute the Parenthesis.
How? <span>Multiply the terms inside the Parenthesis by the term outside of the Parenthesis.
</span>
Add 2 to both sides.
Divide both sides by
8.
The Answer Is:
The Width is
6 units and the Length is
17 units.
Hope this helps.
-Benjamin
Answer:
a=90⁰
b=40⁰
c=140
d=40⁰
Step-by-step explanation:
<em><u>Main</u></em><em><u> </u></em><em><u>princip</u></em><em><u>le</u></em>
Achieve 180⁰ on every line
<em><u>a </u></em><em><u> </u></em> was achieved by virtue of the 90⁰ symbol
b = a+ 50⁰(90⁰+50⁰-180)
c=a+50⁰(vertically opposite angle) if you need some help,a=90⁰ (already explained above).
d=b(vertically opposite angle)
just so you understand the concept especially that of vertically opposite angles (b is vertically opposite d and therefore are equal so no calculations needed there, in the case of c, two angles when put together are opposite c so they have to be summed up and the sum is equal to angle <em>c</em>.
Think of it as an infinity loop the two angles facing each other are the same
<em><u>OR</u></em>
like the "x" symbol every angle is equal to angle direct opposite to it.
<em><u>Note</u></em><em><u>:</u></em> Don't get confused with opposite and adjacent.
What you do is take two of the numbers and add them together then you take the sum (what you get after you add the two numbers) then add them to the third number and if there are more numbers then you can take the sum of the three numbers and add the fourth and so on