m∠3=180-m∠1-m∠2=82
m∠4=m∠1=56,
m∠5=m∠2=42
m∠6=m∠3=82
m∠7=m∠1+m∠2=98
m∠8=180-m∠7=82
m∠9=m∠7=98
m∠10=m∠8=82
m∠11=m∠4=56
m∠12=180-m∠11=124
m∠13=m∠11=56
m∠14=m∠12=124
Step-by-step explanation:
length the width be= W
let the length be =6×W=6W
area = length ×width
294=6W × W
294= 6w^2
49=w^2
the square root of 49 is 7
so the width is 7
while the length is 7 ×6=42
perimeter=2(L+W)
p=2(42+7)
p=2(49)
p= 98
![2\frac{3}{8}](https://tex.z-dn.net/?f=%202%5Cfrac%7B3%7D%7B8%7D%20)
÷
![1\frac{1}{4}](https://tex.z-dn.net/?f=%201%5Cfrac%7B1%7D%7B4%7D%20)
equals
![1\frac{9}{10}](https://tex.z-dn.net/?f=%201%5Cfrac%7B9%7D%7B10%7D%20)
.
First, convert
![2 \frac{3}{8}](https://tex.z-dn.net/?f=2%20%5Cfrac%7B3%7D%7B8%7D%20)
to improper fraction. Use this rule:
![a \frac{b}{c}](https://tex.z-dn.net/?f=a%20%5Cfrac%7Bb%7D%7Bc%7D%20)
=
![\frac{ac+b}{c}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bac%2Bb%7D%7Bc%7D%20)
. Your problem should look like:
![\frac{2x8+3}{8}](https://tex.z-dn.net/?f=%20%5Cfrac%7B2x8%2B3%7D%7B8%7D%20)
÷
![1\frac{1}{4}](https://tex.z-dn.net/?f=%201%5Cfrac%7B1%7D%7B4%7D%20)
.
Second, simplify 2 x 8 to get 16. Your problem should look like:
![\frac{16+3}{8}](https://tex.z-dn.net/?f=%20%5Cfrac%7B16%2B3%7D%7B8%7D%20)
÷
![1 \frac{1}{4}](https://tex.z-dn.net/?f=1%20%5Cfrac%7B1%7D%7B4%7D%20)
.
Third, simplify 16 + 3 to get 19. Your problem should look like:
![\frac{19}{8}](https://tex.z-dn.net/?f=%20%5Cfrac%7B19%7D%7B8%7D%20)
÷
![1 \frac{1}{4}](https://tex.z-dn.net/?f=1%20%5Cfrac%7B1%7D%7B4%7D%20)
.
Fourth, convert
![1\frac{1}{4}](https://tex.z-dn.net/?f=%201%5Cfrac%7B1%7D%7B4%7D%20)
to improper fraction. Use the same rule as earlier. Your problem should look like:
![\frac{19}{8}](https://tex.z-dn.net/?f=%20%5Cfrac%7B19%7D%7B8%7D%20)
÷
![\frac{4+1}{4}](https://tex.z-dn.net/?f=%20%5Cfrac%7B4%2B1%7D%7B4%7D%20)
.
Fifth, simplify 4 + 1 to get 5. Your problem should look like:
![\frac{19}{8}](https://tex.z-dn.net/?f=%20%5Cfrac%7B19%7D%7B8%7D%20)
÷
![\frac{5}{4}](https://tex.z-dn.net/?f=%20%5Cfrac%7B5%7D%7B4%7D%20)
.
Sixth, apply this rule: a ÷
![\frac{b}{c}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bb%7D%7Bc%7D%20)
= a ×
![\frac{c}{b}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bc%7D%7Bb%7D%20)
. Your problem should look like:
![\frac{19}{8}](https://tex.z-dn.net/?f=%20%5Cfrac%7B19%7D%7B8%7D%20)
×
![\frac{4}{5}](https://tex.z-dn.net/?f=%20%5Cfrac%7B4%7D%7B5%7D%20)
.
Seventh, apply this rule:
![\frac{a}{b}](https://tex.z-dn.net/?f=%20%5Cfrac%7Ba%7D%7Bb%7D%20)
×
![\frac{c}{d}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bc%7D%7Bd%7D%20)
=
![\frac{ac}{bd}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bac%7D%7Bbd%7D%20)
. Your problem should look like:
![\frac{19x4}{8x5}](https://tex.z-dn.net/?f=%20%5Cfrac%7B19x4%7D%7B8x5%7D%20)
.
Eighth, simplify 19 × 4 to get 76. Your problem should look like:
![\frac{76}{8x5}](https://tex.z-dn.net/?f=%20%5Cfrac%7B76%7D%7B8x5%7D%20)
.
Ninth, simplify 8 × 5 to get 40. Your problem should look like:
![\frac{76}{40}](https://tex.z-dn.net/?f=%20%5Cfrac%7B76%7D%7B40%7D%20)
.
Tenth, simplify. Your problem should look like:
![\frac{19}{10}](https://tex.z-dn.net/?f=%20%5Cfrac%7B19%7D%7B10%7D%20)
.
Eleventh, convert to mixed fraction. Your problem should look like:
![1 \frac{9}{10}](https://tex.z-dn.net/?f=1%20%5Cfrac%7B9%7D%7B10%7D%20)
which is the answer.
Answer as mixed number form:
![1\frac{9}{10}](https://tex.z-dn.net/?f=%201%5Cfrac%7B9%7D%7B10%7D%20)
.
Answer as exact form:
![\frac{19}{10}](https://tex.z-dn.net/?f=%20%5Cfrac%7B19%7D%7B10%7D%20)
.
Answer as decimal form: 1.9.
0.01.
To find the answer, just divide 0.1 by 10