Answer:
3.5 square cm
Step-by-step explanation:
![Area \: of \: both \: squares \\ = {2}^{2} + {3}^{2} \\ = 4 + 9 \\ = 13 \: {cm}^{2} \\ \\ Area \: of \: both \: right \: \triangle s \\ = \frac{1}{2} \times (2 + 3) \times 2 + \frac{1}{2} \times3 \times 3 \\ = 5 \times 1+ 1.5 \times 3 \\ = 5 + 4.5 \\ = 9.5 \: {cm}^{2} \\ \\ Area \: of \:shaded \: region \\ = Area \: of \: both \: squares\\ - Area \: of \: both \: right \: \triangle s \\ = 13 - 9.5 \\ \purple { \boxed{ \bold{Area \: of \:shaded \: region = 3.5 \: {cm}^{2} }}}](https://tex.z-dn.net/?f=Area%20%5C%3A%20of%20%5C%3A%20both%20%5C%3A%20squares%20%20%5C%5C%20%3D%20%20%7B2%7D%5E%7B2%7D%20%20%2B%20%20%7B3%7D%5E%7B2%7D%20%20%5C%5C%20%20%3D%204%20%2B%209%20%5C%5C%20%20%3D%2013%20%5C%3A%20%20%7Bcm%7D%5E%7B2%7D%20%20%5C%5C%20%20%5C%5C%20Area%20%5C%3A%20of%20%5C%3A%20both%20%5C%3A%20right%20%5C%3A%20%20%5Ctriangle%20s%20%5C%5C%20%20%3D%20%20%5Cfrac%7B1%7D%7B2%7D%20%20%5Ctimes%20%282%20%2B%203%29%20%5Ctimes%202%20%2B%20%5Cfrac%7B1%7D%7B2%7D%20%20%5Ctimes3%20%5Ctimes%203%20%5C%5C%20%20%3D%205%20%5Ctimes%201%2B%201.5%20%5Ctimes%203%20%5C%5C%20%20%3D%205%20%2B%204.5%20%5C%5C%20%20%3D%209.5%20%5C%3A%20%20%7Bcm%7D%5E%7B2%7D%20%20%5C%5C%20%20%5C%5C%20Area%20%5C%3A%20of%20%5C%3Ashaded%20%5C%3A%20region%20%5C%5C%20%20%3D%20Area%20%5C%3A%20of%20%5C%3A%20both%20%5C%3A%20squares%5C%5C%20-%20Area%20%5C%3A%20of%20%5C%3A%20both%20%5C%3A%20right%20%5C%3A%20%20%5Ctriangle%20s%20%5C%5C%20%20%3D%2013%20-%209.5%20%5C%5C%20%20%20%5Cpurple%20%7B%20%5Cboxed%7B%20%5Cbold%7BArea%20%5C%3A%20of%20%5C%3Ashaded%20%5C%3A%20region%20%3D%203.5%20%5C%3A%20%20%7Bcm%7D%5E%7B2%7D%20%7D%7D%7D)
In order to figure out whether Luis or Isabella skates farther to get to school, we have to create a common denominator between the two fractions that represent the distance that each person walks.
The least common denominator of 3 and 4 is 12. This means that we have to change both fractions into equal fractions with denominators of 12.
To figure this out, we must set up a proportion.
2/3 = x/12
To solve this proportion, we must cross-multiply the fractions. We get:
24 = 3x
If we divide both sides by the coefficient of x which is 3, to get the variable x alone, we get:
x = 8
Therefore, 2/3 = 8/12, so Luis skates 8/12 mile from his home to school.
If we do the same process for the 2/4 mile to get to school for Isabella, we get 6/12, because both fractions are equal to 1/2.
Therefore, we know that Luis skates 8/12 mile to school and Isabella skates 6/12 mile to get to school. Because they have the same denominator, we can just compare the numerators. We know that 8 is greater than 6, thus Luis skates farther to get to school.
B.
You know that the angle formed by 51 and y + 6 is equal to 106 because it needs to be supplementary with the 74. Thus, after subtracting you can get 49.
Answer:
x = 14
EHF = 15 degree GHF = 75 degree
Step-by-step explanation:
(x+1) + (5x+5) = 90
(x+5x)+ (1+5) = 90
6x + 6 = 90
6x = 90-6
6x = 84
x = 84/6
x = 14
EHF + GHF = 90 degree
EHF = x+1
= 14 + 1 = 15
= 15 degree
GHF = 5x+5
= 14 x 5 (+5) = 70 + 5
= 75 degree
EHF = 15 degree GHF = 75 degree
nice
i think there's supposed to be more to the problem lol