Answer:
The circumference of Meg’s picture frame is the perimeter of Pam’s picture frame by approximately 0.65 ft
Step-by-step explanation:
Pam's picture frame : Square with area of 3 sq. foot
Meg’s picture frame is a circle with a radius, r of 1 foot.
The circumference of Meg’s picture frame is the perimeter of Pam’s picture frame by approximately feet.
Let's calculate circumference of Meg's picture frame:
Circumference c, = 2πr
r = 1 ft
c = 2 * 3.14 *1 = 6.28 ft
Now calculate Perimeter of Pam's picture frame:
A is area of square and s is the side
A = s²
s² = 3
s = √3
Permeter of square = 4s
= 4√3 = 6.93ft
Now in order to find circumference of Meg’s picture frame is the perimeter of Pam’s picture frame, we have to find their difference.
Permimeter of square frame - Circumference of circle frame = 6.93 - 6.28 = 0.65
Answer:
m<GFA = 110
Step-by-step explanation:
1. ABCD - parallelogram Definition of a parallelogram
(AB ll CD) (AD ll BC)
2. m<B + m<C = 180 Consectuive angles in a
110 + m<C = 180 parallelogram are supplementary
m<C = 70
3. m<GCB = 1/2 m<C Definition of angles bisector
m<GCB = 70
4. m<B = m<D = 110 Opposite angles in a
parrallelogram are congruent
5. m<CDG = 1/2 m<D Defintion of an angle bisector
m<CDG = 55
6. m<GCB+m<CDG+m<CGD=180 Sum of anlges in a triangle (ΔCDG)
70 + 55 + m<CGD = 180
125 + m<CGD = 180
m<CGD = 55
7. m<CGD + m<DGF = 180 Linear pair, supplmentary angles
55 + m<DGF = 180
m<DGF = 125
8. m<C = m<A = 70 Opposite angles in a paralellogram
are congruent
9. m<ADG = 1/2m<D Definiton of an angle bisector
m<ADG = 55
10.m<ADG+m<DFG+m<GFA+m<A=360 Sum of angles in quadrilateral
55 + 125 + m<GFA + 70 = 360 DGFA
m<GFA + 250 = 360
m<GFA = 110
Answer:
2 29/30
Step-by-step explanation:
Suppose nick spent x number of tokens on day 1
So he spent x + 5 on day 2
He spent x + 10 on day 3
He spent x + 15 on day 4
He spent x + 20 on day 5
On day 6 he spent x + 25
And on day 7 he spent x + 30
So in all he spent
x + x + 5 + x + 10 + x + 15 + x + 20 + x + 25 + x + 30
= 7x + 105
But total token spent = 203
So
7x + 105 = 203
Subtracting 105 from both sides
7x = 203 - 105
7x = 98
Dividing by 7 on both sides
x = 14
So on third day he spent x + 10
= 14 + 10
= 24 tokens
Tokens spent on day 3 = 24
Answer:
C
is you answers because i did the math so u dont have to ;)
