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:
4,262.50 m
842 acres
Step-by-step explanation:
Given that :
Park is rectangular in shape
Width of park = 800 m
Area of park = 3.41 km²
Width of park = 800 / 1000 = 0.8 km
Area of rectangle, A
A = l * w
l = Length ; w = width
3.41 = l * 0.8
3.41 = 0.8l
l = 3.41 / 0.8
l = 4.2625 km
Hence, length in meters :
4.2625 * 1000
= 4,262.50 m
B.)
1 km² is approximately 247 acres
3.41km² = 3.41 * 247
3.41 km² = 842.27
= 842 acres
Hack:
x% of 100=x
88% of 100=88
times both sides by 6
88% of 600=6 times 88
88% of 600=528
answer is 528
Answer:

Step-by-step explanation:
The given trigonometric equation is
.
We can either use the Pythagorean identity or the right angle triangle to solve for
.
According to the Pythagorean identity,

Recall that, the cosine function is an even function, therefore

.
We substitute this value in to the above Pythagorean identity to get;






But we were given that,
, so we choose the negative value.

The correct answer is B