Answer:
x=96°
y=96°
Step-by-step explanation:
y=84° because of vertical angles. the measure of all 4 angles added together is 360°, so we add the 84° and the other 84° angle, and subtract them from 360° to get the sum of the other two angles
360°-(84°+84°)=192°
divide 192° by 2 to get the measure of one angle
therefore, x=96°
Answer:
1) 11
2) 2
3) 
4) 
5) -2
6) 
Step-by-step explanation:
1) 2
+ 3
- 
=(2 × 2
)+ (3 × 4
) - 5
= 4
+ 12
- 5
= 11
2) 4
-2
+ 
= (4 × 2
) - (2 × 7
) + 8
= 8
- 14
+8
= 2
3) 5
- 3
= 5×
- 3×
+ 4×
+ 2×
= 
= 
4) 
= 
= 
5) 
= 
= -2
6) 
= 
= 2×
- 2×
- 
= 
= 
Hope the working out is clear and will help you. :)
Answer:
the answer is ..............
Step-by-step explanation:
Answer: y= -2 - 1/2
Step-by-step explanation:
-4x -2y = 1
+4x +4x
-2y = 4x + 1
/-2 /-2 /-2
y= -2 - 1/2
I think, i may be incorrect but the verbal explanation is; -4x is needed to be moved so you add 4x to both sides and 4x cancels out on the left which leaves -2y on the left (when it was moved "x" is always first). then divide all numbers by -2 to get y by itself. this gives you y= -2 - 1/2 if my calculations are correct.
Answer:
535.9 ft²
Step-by-step explanation:
Since there are 360° in a circle, and 240° is 2/3 of 360°, we can say that the area of the bolded sector is <em>2/3 the area of the whole circle</em>. The area of a circle with a radius of r is πr², or approximately 3.14r², so the area of the whole circle is ≈ 3.14(16)² = 3.14(256) = 803.84 ft². Taking 2/3 of this gets us 803.84 * (2/3) ≈ 535.9 ft²