Answer:
The length of the missing leg is 56 meters.
Step-by-step explanation:
Use the Pythagorean theorem to figure out the leg of the missing leg.
Formula: a^2+b^2=c^2, given a=leg, b=leg, and c=hypotenuse
The hypotenuse is 65 meters, and one of the legs is 33 meters, so plug it into the formula and solve for a.
a^2+33^2=65^2
a^2+1089=4225
a^2=3136
Take the square root of both sides, and you get 56 meters.
Answer:
<u>∠IJG = 123° </u>
Step-by-step explanation:
Since AB║CD, EF ║GH, we can use the Corresponding Angles Postulate, for finding the following congruent angles:
∠IKL ≅ ∠EIJ and ∠EIJ ≅ ∠GJA
∠GJA and ∠IJG are supplementary, therefore:
∠GJA + ∠IJG = 180°
∠IJG = 180° - 57°
<u>∠IJG = 123°</u>
Answer:
a:
1. ABC = 60°
2. BCA = 90°
3. CAB = 30°
b:
XVR = WVS = 125°
RVS = 55°
RST = VSU = 110°
RSV = UST= 70°
TUS = 39°
Step-by-step explanation:
a:
According this is a Right Triangle ( BCA = 90°) and the sum angles of a triangle is 180° :
90+5x+9x+6=180
14x=84
x=6
Then we have : ABC = 9(6)+6 =60
CBA = 5(6)=30
b :
Given that the size of the opposite angles to a vertex are equal and the sum of the interior angles of a triangle is 180 degrees, the size of all angles can be easily found.
6/9 just multiply both parts of the fraction by 3
Answer: 328 feet, 1 inch
Step-by-step explanation:
3.281 feet makes 1 meter
To solve the question, Multiply the value by 3.281:
100 meters = 100 x 3.281 feets
=328.1 feet
I hope this helps.