x = 83°
Solution:
The reference image to the answer is given below.
Sum of the adjacent angles in a straight line = 180°
⇒ ∠1 + ∠2 + ∠3 = 180° (Refer image)
⇒ 56° + ∠2 + 41° = 180°
⇒ 56° + 41° + ∠2 = 180°
⇒ 97° + ∠2 = 180°
⇒ ∠2 = 180° – 97°
⇒ ∠2 = 83°
In the given image ∠5 and ∠2 are vertically opposite angles.
<u>Vertical angle theorem:</u>
Vertically opposite angles are equal.
⇒ ∠5 = ∠2
⇒ x = ∠2
⇒ x = 83°
Hence the measure of angle x is 83°.
Answer:
V=3.098 yd³
Step-by-step explanation:
To answer this question we need to work with formula of the Volume of rectangular prism, the patio. Once it is required 1 inch deep. Some relations will be useful.
As 1 yard = 1 feet/3
1 yard = 1 inch/36
1 feet=12 inches
a) 23 feet 9 inches
23 ft 9''=23 +9/12=23.75 ft
b)10 feet 1 inch
10 feet 1" = 10ft + 1/12=10.083 ft
c)4 inches: 4/12 =0.33
V= w.l.h
V=23.75*10.083*0.33=79.025 ft³
Converting from cubic yard to cubic feet:
V≈79.025 : 27 yd³=2.926 yd³
Considering the possible spillage due to uneven base. ( adding 5%of V)
V≈ 2.92+0.05*(2.92)=3.098 yd³
Answer:
6 is the ans
Step-by-step explanation:
Write a Pythagorean triplet whose one member is.
2m, m 2 − 1 , m 2 + 1 \mathrm{m}^{2}-1,
mathrm{m}^{2}+1 m2−1,m2+1 is a Pythagorean triplet.
∴ (6, 8, 10) is a Pythagorean triplet.
Answer: (E) Not necessarily, because this wasn't an experiment
Step-by-step explanation:
As much as the results would suggest that the fast-paced music was responsible for the faster finishing time, this conclusion cannot be authoritatively made because this was not technically an experiment but rather a test to satisfy curiosity.
An experiment is planned and is scientific. It has more stringent requirements that ensure causation that Roshanda did not meet before she engaged in this trial so we cannot say for a fact that her findings are objective.
