Answer:
⇒ Draw a line segment AB=5.5cm
⇒ Take A as a center and draw an angle of 45
o
.
⇒ Cut off AD=5cm
⇒ Take D as a center with radius 4.5cm and draw an arc.
⇒ Take B as a center with radius 3.5cm and draw an arc, which meets previous arc at point C.
⇒ Join BC and CD.
∴ ABCD is a required quadrilateral.
Step-by-step explanation:
hope this helps!
Answer:
∠B = 17°
Step-by-step explanation:
Vertical angles are congruent, thus
5x + 7 = x + 15 ( subtract x from both sides )
4x + 7 = 15 ( subtract 7 from both sides )
4x = 8 ( divide both sides by 4 )
x = 2
Hence
∠B = 5x + 7 = (5 × 2) + 7 = 10 + 2 = 17°
Answer:
The radius of the inner circle is 14 ft. Since the outer circle is 3 ft more than the inner circle, its radius is 17 ft. The circumference formula is 2(pi)radius (or 2(22/7)17 in this case). The circumference of the outer circle is 106.85 ft (or 106.9 if rounding). To find the difference, you would subtract the smallest FROM the greatest:
106.85 - 88 = 18.85 ft (or 18.9 if rounding)
Here are the answers:
1) C
2) A
3) D
4) B
Synthetic division yields
-3 | 1 5 4 -6
. | -3 -6 6
- - - - - - - - - - - - -
. | 1 2 -2 0
which translates to
with remainder 0. Now by the quadratic formula,
and so
