Answer:
An equivalent fraction is 5/6
Step-by-step explanation:
In order to find this, divide both parts of the fraction by 7.
35/7 = 5
42/7 = 6
Now we can put this back together as a fraction.
5/6
If the diagonal is 32 than you will us
A^2 + b^2 = c^2
We will use the aspect ratio to find a common variable
4A = 3B
a = (3/4)B now plug it in
((3/4)B)^2 + b^2 = 32 (This is because c is the diagonal)
Now solve for B
B turns out to be 25.577 inches
Plug B in
A = (3/4)(25.577)
A = 19.18
Now add up ther perimeter A + A + B + B
19.18 + 19.18 + 25.577 + 25.577
89.6 inches
Answer:
The correct answer is 375 purple flowers.
Step-by-step explanation:
If all the F1 generation from true-breeding parents are purple than the genotype would be heterozygous i.e., Pp and Pp. Here P indicates the dominant allele which produces purple flower and p indicates the recessive allele of white flower.
So if we will cross the F 1 generation than the genotype would be PP, Pp, Pp, pp. That means 3 out of 4 offspring would be purple because three genotypes out of four have dominant purple allele(P).
So if out of 4 flower 3 is purple than according to calculation out of 500 flower 375 offspring would be purple(3/4*500= 375). Therefore the correct answer is 375 purple flowers should be produced.
Answer:
1120°
Step-by-step explanation:
Use the sum of interior angles formula:
![180(n-2)](https://tex.z-dn.net/?f=180%28n-2%29)
Where n is the number of sides.
In a nonagon, there are 9 sides, substitute 9 for n:
![180(9-2)\\180(7)\\1260](https://tex.z-dn.net/?f=180%289-2%29%5C%5C180%287%29%5C%5C1260)
Since our nonagon is a regular nonagon, all 9 angles measure the same, so each angle measures:
![\frac{1260}{9} =140](https://tex.z-dn.net/?f=%5Cfrac%7B1260%7D%7B9%7D%20%3D140)
Subtract 140 from 1260:
![1260-140=1120](https://tex.z-dn.net/?f=1260-140%3D1120)
Angle ABD=87 degrees
angle ABC+angle CBD= angle ABD
Therefore, 9x-1+6x+58=87
15x+57=87
15x=87-57
15x=30
x=30/15
x=2
Angle ABC= 9x-1
=9(2)-1
=18-1
=17 degrees