Answer:
The measure of angle x is 40°
Step-by-step explanation:
we know that
The measurement of the outer angle is the semi-difference of the arcs which comprises
see the attached figure with letters to better understand the problem
so
m∠x=(1/2)[arc AB-arc AC]
<u><em>Find the measure of arc AC</em></u>
we know that
arc AB+arc BC+arc AC=360° ----> by complete circle
substitute the given values
arc AB=200°
arc BC=40°
arc AC=?
200°+40°+arc AC=360°
240°+arc AC=360°
arc AC=360°-240°=120°
<u><em>Find the measure of angle x</em></u>
m∠x=(1/2)[200°-120°]=40°
Answer:
1) 
2) ![\sqrt[3]{-1331}=-11](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B-1331%7D%3D-11)
3) Evaluating 
we get 
4) 
5) 
Step-by-step explanation:
1) 
Prime factors of 1225 : 5x5x7x7
Prime factors of 1024: 2x2x2x2x2x2x2x2x2x2
2) ![\sqrt[3]{-1331}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B-1331%7D)
We know that ![\sqrt[n]{-x}=-\sqrt[n]{x} \ ( \ if \ n \ is \ odd)](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7B-x%7D%3D-%5Csqrt%5Bn%5D%7Bx%7D%20%5C%20%28%20%5C%20if%20%5C%20n%20%5C%20is%20%5C%20odd%29)
Applying radical rule:
![\sqrt[3]{-1331}\\=-\sqrt[3]{1331} \\=-\sqrt[3]{11\times\11\times11}\\=-\sqrt[3]{11^3} \\Using \ \sqrt[n]{x^n}=x \\=-11](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B-1331%7D%5C%5C%3D-%5Csqrt%5B3%5D%7B1331%7D%20%5C%5C%3D-%5Csqrt%5B3%5D%7B11%5Ctimes%5C11%5Ctimes11%7D%5C%5C%3D-%5Csqrt%5B3%5D%7B11%5E3%7D%20%5C%5CUsing%20%5C%20%5Csqrt%5Bn%5D%7Bx%5En%7D%3Dx%20%5C%5C%3D-11)
So,
3)
It can be written as:
Evaluating we get
4) 
Put value of x, y and z in equation and solve:
So,
5) 
We know (-a)^n = (a)^n when n is even and (-a)^n = (-a)^n when n is odd
So,
Can you repost this with a picture please ?
Since area is length times width, it would be the factors of the equation for the area.
X2+11x+28 factors into...
Length is x+7 so...
Width is x+4
Answer:
-21
Step-by-step explanation:
It would have to be -21 because there's -7, but the threes not negative so it would have to be -21
