Hey! Want this question to be answered? I will answer it for you!
To extend that further, if the polygon has x sides, the sum, S, of the degree measures of these x interior sides is given by the formula S = (x - 2)(180).
For example, a triangle has 3 angles which add up to 180 degrees. A square has 4 angles which add up to 360 degrees. For every additional side you add, you have to add another 180 degrees to the total sum.
Quadrilateral ABCD has, of course, four angles. Those four angles are in the ratio 2:3:3:4. Find the degree measure of the biggest<span> angle of quadrilateral ABCD.</span>
Steps:<span>Add the terms 2x + 3x + 3x + 4xEquate the sum of the terms to 360Solve for xDetermine the angle measures in degrees.</span>Solve
2x + 3x + 3x + 4x = 360
12x = 360
x = 360/12
x = 30
Even though we know x = 30 we aren't done yet. We multiply 30 times 4 to find the biggest angle. Since 30 times 4 = 120, the biggest angle is 120 degrees. Likewise, the other angles are 3*30=90, 3*30=90, and 2*30 = 60.
Answer:
10
Step-by-step explanation:
5+5+5+5+5+5+5+5+5+5
Answer:
10 2/5 meters long
Step-by-step explanation:
first turn 20 4/5 into an improper fraction (104/4) then multiply that by 1/2 and you get 104/10 but simplify it to 10 2/5
Hope this helps!
<span><span>the basic formula is
</span><span>
c(x) = ax² + bx + c,
where x is the number of widgets produced, and c(x) is cost to produce x number
of widgets.
first we need to calculate a, b, and c from the quadratic formula using the
system of 3 equations.
So, the equations are:
1. c(2) = 16= a(2)² + b(2) + c = 4a + 2b + c </span></span><span>= </span><span><span>4a + 2b + c = 16
</span>
2. c(4) = 18= a(4)² + b(4) + c = 16a + 4b + c </span><span>= </span><span><span>16a + 4b + c = 18
</span>
3. c(10) = 48= a(10)² + b(10) + c = 100a + 10b + c </span><span>= </span><span><span>100a + 10b + c = 48
</span><span>
subtract equation 1 from equation 2:
16a + 4b + c - 4a - 2b - c = 18 - 16 </span></span>=<span><span> 12a + 2b = 2
</span><span>
subtract equation 1 from equation 3:
100a + 10b + c - 4a - 2b - c = 48 - 16 </span></span>=<span><span> 96a + 8b = 32
</span><span>
We have two equations now, multiply the first by 4 ( to equal out b):
12a + 2b = 2 = 48a +8b =8
now subtract these equations:
96a + 8b - 48a - 8b = 32 - 8
48a = 24 </span></span><span> </span>
<span><span>a = 24/48 = 1/2
</span><span>
If we know a, we can calculate b from the equation:
12a + 2b = 2
2b = 2 - 12a = 2 - 12 * 1/2 = 2 - 6 = -4
b = -4 ÷ 2 = -2
We have a and b. Let's calculate c:
4a + 2b + c = 16
c = 16 - 4a - 2b = 16 - 4 * 1/2 - 2 * (-2) = 16 - 2 + 4 = 18
so a = ½ , b = -2, c = 18
now calculate c(6)
<span> c(6) = 1/2(6)² - 2(6) + 18 = 1/2 * 36 - 12
+ 18 = 18 - 12 + 18 = 24</span></span></span>
<span><span><span>
</span></span></span>
<span><span><span> it costs $24 to produce 6 widgets</span></span></span>
Answer:
56 cm^2
Step-by-step explanation:
Well I gotta explain something so I don’t get reported.
Well first separate into 2 shapes
You got 8*3 and 8*4
Multiply and add those 2 numbers
you’d get 56