Answer: 1. False.
2.True.
3.True.
4.False.
5.True.
6.False.
Explanation:
1.∠XFG is lying between the one side and the line extended to the next side of the triangle, therefore it is an exterior angle.
2.∠EFG is lying between the two sides of the ΔEFG, therefore it is an interior angle of the triangle.
3.∠FEZ is lying between the one side and the line extended to the other side of ΔEFG.
4.∠YGE is a straight line it is between the one side and the line extended to the same side ∴ it cannot be an exterior angle of the triangle.
5.∠EGF and FGY lying on the same line YZ ,∴they are linear pair i.e. they are supplementary angles.
6.∠FEG and ∠FGE are both the interior angles of a triangle and we know that for supplementary angles they should lie on the same line.Therefore ∠FEG and ∠FGE are not supplementary angles.
Solving this problem actually requires us the use of the
distance formula of point to a line.
The formula is:
distance = | a x + b y + c | / sqrt (a^2 + b^2)
So we are given the equation:
y = 2 x + 4
rewriting:
<span>y – 2 x – 4 = 0 -->
a = -2, b = 1, c = -4</span>
We are also given the points:
(-4, 11) = (x, y)
Using the distance formula at points (x, y):
distance = | -2 * -4 + 1 * 11 + -4 | / sqrt [(- 2)^2 +
(1)^2]
distance = 15 / sqrt (5)
distance = 6.7
<span>So the tree is about 6.7 ft away from the zip line.</span>
Answer:
Step-by-step explanation:
1. 8 days
2. C?
3. A
4. B
5. C
6.D
7.48
8. A
9. 1.69%
10. False
I have no clue if these are right i tried my best to get them right, if they are wrong I am incredibly sorry!
- SavageSavvy
We use the z statistic:
z = (x – u) / s
But first let us calculate the standard deviation s,
sample x and mean u.
s = sqrt (n p q)
s = sqrt (112 * 0.77 * (1 – 0.77))
s = 4.45
x = 0.81 * 112 = 90.72
u = 0.77 * 112 = 86.24
So the z score is:
z = (90.72 – 86.24) / 4.45
z = 1.00
From the standard tables, the P value at z = 1.00 using
right tailed test is:
<span>P = 0.1587 = 15.87%</span>
They should have 3 daffodils and 1 rose in each bouquet and that will equal 8 bouquets.
