Answer:
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Step-by-step explanation:
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Answer:
Step-by-step explanation:
If angles C and B have equal degrees then the side AC is also equal to side AB in length and you can make their equations equal as well and solve for X.
2x+16=7x+6
get X's all on same side and the constants all on the other side,
-2x +2x+16=7x+6+-2x
The X's on the left cancel out.
16=5x+6
-6+16=5x+6+-6
add -6 to each side. On the right the 6 is now cancelled out.
10=5X
divide each side by 5 to cancel out the 5
10/5= 5X/5
2=X . ANSWER
Answer:
10+3pi
Step-by-step explanation:
The perimeter of of the shaded region is
AC+CT+marcSBT+SA
*Finding AC
The diagonals of a rectangle are equal is measurement. Since RB is a radius of the circle, then RB is 6. Since AC and RB are both diagonals of the rectangle, then AC is also 6.
*Finding CT
CT=RT-RC where RC is the width of the rectangle
Also RT is a radius so we have that
CT=6-RC
*Finding marcSBT
The circumference of a whole circle is 2pi*r.
We have a quarter of this with r=6.
1/4*2pi(6)
1/4*12pi
3pi
*Finding SA
SA=RS-AR
RS is a radius of the circle and AR is the length of the rectangle.
So we have that this can be rewritten as
SA=6-AR
Let's put these parts together:
6+6-RC+3pi+6-AR
Simplifying:
18-RC-AR+3pi
18-(RC+AR)+3pi
18-8+3pi (Remember length plus width equal 8)
10+3pi
