Answer:
50° and 130°
Step-by-step explanation:
∠1 is a chord- chord angles and is calculated as
∠1 = 0.5( arc RQ + arc ST) = 0.5(53 + 47)° = 50°
∠1 and ∠2 form a straight angle and are supplementary, hence
∠2 = 180° - 50° = 130°
Answer:
The component form of the vector P'P is 
Step-by-step explanation:
The component form of the vector that translates P(4, 5) to P'(-3, 7), is given as follows;
The x-component of the vector = The difference in the x-values of the point P' and the point P = -3 - 4 = -7
The y-component of the vector = The difference in the y-values of the point P' and the point P = 7 - 5 = 2
The component form of the vector P'P =
Answer:
a) If c=3662 then q=228 and r=14.
b) If c=-3662, then q=-229 and r=2
Step-by-step explanation:
a) Observe that 229*16=3664, since r must be in the interval [0,16), then 229 doesn't work, but 228*16=3648 and 3662-3648=14.
Then 3662=228*16+14.
b) Observe that -228*16=-3648 and -3648-14=-3662, but r= must be positive. Then -228 doesn't work.
But observe that -229*16=-3664 and -3664+2=-3662. So -3662=-229*16+2
Answer:
There are 30 students in the class
Step-by-step explanation:
we can write a ratio as:
8:10 as 24:x
Writing this as an equation gives:
8
10
=
24
x
We can now solve for
x
while keeping the equation balanced:
10
x
×
8
10
=
10
x
×
24
x
10
x
×
8
10
=
10
x
×
24
x
x
×
8
=
10
×
24
8
x
=
240
8
x
8
=
240
8
8
x
8
=
30
x = 30
204 is 10.2% of 2000
Working Out
204/2000 x 100 = 10.2%
