Answer:
Step-by-step explanation:
1)
O = center of circle (origin)
we know that the angle at the center of the circle ∠ ROS will be
180= 2(31) + ∠x
180-62 = ∠x
118° = ∠x
The supplemental angle to the 118° will be 62°
62° is the interior angle to arc QR , so
arc QR is also 62°
3)
b/c the intercepted arc YZ = 2* 68=136
then 136+125+? = 360
? = 99°
arc ZX = 99°
5)
O= center point
we are given the two arcs 120 and 70 for both of these we know that the
interior angles will be the same. ∠JOX has a central angle of 120 , then
b/c triangle JOX is an isosceles, we know that the two angles J and X of
the triangle JOX will be 1/2 of 60 , or 30 each
also for
also ∠XOY has an interior angle of 70 so the two angle at X and Y will be 1/2 of 110 , or 55°
now add 55+30 to find X for box XYZJ
85° = ∠X
Answer:
E
Step-by-step explanation:
Let's say if b = -2 and c = -3
-2-(-3) = 1 that would be the distance between them. If it was D then you would need absolute value.
Hope this helps! Have a nice day!
When you multiply by 100, you move the decimal point two places to the left so 0.98345 becomes 98.345.
Option D)
Answer:
Step-by-step explanation:
⅓x + 7 = -2
isolate the x term by subtracting 7 from both sides
⅓x = -9
Multiply both sides by 3
x = -27
Answer:
<u>a₂₀ = 60</u>
Step-by-step explanation:
<u>Given :-</u>
a₃ = 9
a₈ = 24
<u>To find :-</u>
a₂₀
<u>Solving :-</u>
Expand the given values.
a + 2d = 9 -(1)
a + 7d = 24 -(2)
Now subtract (1) from (2).
=> 5d = 15
=> d = 3
a = 9 - 2d
a = 9 - 6
a = 3
<u>Final answer :-</u>
a₂₀
= a + 19d
= 3 + 19(3)
= 3+ 57
= 60
<u>a₂₀ = 60</u>
