Answer:
m∠TUW = 90, m∠VUR = 130, m∠VUW = 50
Step-by-step explanation:
Supplementary angles add up to 180!
Answer:
Step-by-step explanation:
The top triangle is similar to the whole triangle because of AAA
Then we know that the corresponding sides are similar
9/81=(3x-20)/(3x-20+56)
1/9=(3x-20)/(3x+36)
cross multiply
9(3x-20)=3x+36
27x-180=3x+36
24x=216
x=9
Answer:
a. height = 12
b. area = 228
Step-by-step explanation:
a. To find the height, we can use the triangle formed by the side that measures 15, the side that measures 9. and the height. The hypotenuse of the triangle(the longest side opposite of the right angle), is 15. We can then use the Pythagorean Theorem, which states that
, where c is the hypotenuse, and a and b are the two other sides. In this case, we need to find a leg of the triangle, not the hypotenuse. What do we do? We can first call the height a, and rearrange the Theorem into
.
and
=12. Therefore, the height of the parallelogram is 
b. To find the area of the parallelogram, we can use the area formula, which is Base*Height. The base is the flat side. We can find the base by adding 9+10=19, and 
Answer:
L = 15.53 ft
Step-by-step explanation:
using diagram which is attached below
now, using Pythagoras theorem
L² = b² + (5 + x)²...............(1)
using similarity of triangle


from equation (1)




for maxima or minima

x = -5 and x = ∛190 = 5.74
on second derivative 5.74 is the value which comes out to be minimal value which is the distance between the fence and ladder
now,
L² = 241.38
L = 15.53 ft
What is the interquartile range for the data set? 241, 230, 201, 245, 209, 211, 242, 201, 204, 228, 242, 243 Enter your answer i
creativ13 [48]
The answer is 36. The formula for IQR is Q3-Q1.
Q3=242.5 Q1=206.5
242.5-206.5=36
So 36 is your IQR