Since O is circumscribed about quadrilateral DEFG, the value of x is equal to: D. 68°.
<h3>What is a supplementary angle?</h3>
A supplementary angle can be defined as two (2) angles or arc whose sum is always equal to 180 degrees. Mathematically, a supplementary angle can be calculated as follows:
Q + R = 180°.
In Geometry, the opposite angles of any cyclic quadrilateral that is inscribed inside a circle always form a supplementary angle. Thus, we would determine the value of x by using the mathematical expression above:
x + 112° = 180°
x = 180° - 112°
x = 68°
Read more on supplementary angle here: brainly.com/question/12542846
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Answer= x³+4x²+16x+64
Expand the following:(x + 4 i) (x - 4 i) (x + 4)
(x - 4 i) (x + 4) = (x) (x) + (x) (4) + (-4 i) (x) + (-4 i) (4) = x^2 + 4 x - 4 i x - 16 i = -16 i + (4 - 4 i) x + x^2:
-16 i + (-4 i + 4) x + x^2 (4 i + x)
| | | | x | + | 4 i
| | x^2 | + | (4 - 4 i) x | - | 16 i
| | | | (-16 i) x | + | 64
| | (4 - 4 i) x^2 | + | (16 + 16 i) x | + | 0
x^3 | + | (4 i) x^2 | + | 0 | + | 0
x^3 | + | 4 x^2 | + | 16 x | + | 64:
Answer: x^3 + 4 x^2 + 16 x + 64
Answer:1380
Step-by-step explanation:
Step 1:
The variable is the number of weeks needed to equalize Alexa and her sisters savings.
Step 2:
7x + 60 = 5x + 120
Step 3:
7x+60=5x+120
Subtract 60 from both sides.
7x+(60-60)=5x+(120-60)
7x=5x+60
Subtract 5x from both sides
7x-5x=5x+60-5x
2x=60
Divide both sides by 2.
2x/2 = 60/2
x=30
Step 4:
7(30) + 60 = 5(30)+ 120
210+60=150+120
270 = 270
Step 5:
To find the unknown amount of weeks, you need to rewrite the equation isolate x on the left-hand side of the equation. I just subtracting/simplified the equation until I could solve it.
(tbh got stuck on this one)
