Answer:
The answer to your question is x = 6
Step-by-step explanation:
Process
1.- We can prove that the triangles are congruent.
Two angles measure the same 23°
Two sides measure the same 9
Two angles measure the same the are vertical angles
The third angle measure the same
From this information, we conclude that the triangles are congruent ASA
2.- If the triangles are congruent then x = 6, the sides are congruent
Answer:
144 pages
Step-by-step explanation:
3 hours * 60 = 180 minutes
40 pages / 50 minutes = x pages / 180 minutes
40/50 = x/180
cross multiply
50x = 40 * 180
50x = 7200
x = 7200 ÷ 50
x = 144
Given:
n = 27, sample size
df = n-1 = 26, degrees of freedom
xb = 11.8, sample mean
s = 2.3, sample standard deviation.
Because population statistics are not known, we should use the Student's t-distribution.
At 99% confidence interval, the t-value = 2.779 (from tables).
The confidence interval is
11.8 +/- 2.779*(2.3/√(27)) = 11.8 +/- 1.23 = (10.57, 13.03)
Answer: (10.6, 13.0) to the nearest tenth
Answer:
The area of the park is 119,966.14 cm if needed to round it would be 119,966 cm.
Step-by-step explanation:
first we would use A=length x width
so a = 614 cm x 212 cm = 130,168 cm
now we find the area of the pond using a= pi x r^2
the diameter is 114 cm so we cut that in half to find the radius which is 57 cm
a = pi x 57^2
a= 3.14 x 3249
a= 10201.86 cm
now we subtract the area of the pond from the whole area
130,168 - 10201.86 = 119,966.14 cm
The area of the park is 119,966.14 cm if needed to round it would be 119,966 cm
