A. ∠4 is congruent to ∠5; True.
B. Two lines are parallel; True.
C. The measure of ∠6 = 90.5°; False.
D. ∠2 and ∠3; True.
<h3>What are the properties of angles of parallel lines?</h3>
- On a common plane, two parallel lines do not intersect.
- As a result, the characteristics of parallel lines with respect to transversals are given below.
- Angles that correspond are equal.
- Vertical angles are equal to vertically opposite angles.
- Interior angles that alternate are equal.
- The exterior angles that alternate are equal.
For the give question;
Two line are cut by the transversal.
∠1 = 90.5° and ∠7 = 89.5°
Thus the result for the given statement are-
A. ∠4 is congruent to ∠5 because they are alternate interior angles; True.
B. Two lines are parallel; True.
C. The measure of ∠6 = 90.5°; False.
∠6 = ∠7 = 89.5°.(correct)
D. ∠2 and ∠3 are supplementary because they are same-side exterior Angeles; True.
Thus, the result for the given statement are found.
To know more about the parallel lines, here
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Answer:
-18x-12
Step-by-step explanation:
3/4(-24x-16)=-18x-12
One number: x
Its consecutive: x + 1
Product:
x(x+1)=121
x² + x - 121 = 0
Δ = 1² - 4.1.(-121)
Δ = 1+484
Δ = 485
As square root of 485 is not integer, do not exist two consecutive numbers with product of 121
F(x) = 8.
This is a constant function. No matter the value of x, f(x) will always be = 8
Therefore when x = 10, f(x) = 8.
Answer:
The correct option is option c.
H0: p not equal to 0.5
H1: p equal to 0.5
Step-by-step explanation:
1. H0: p not equal to 0.5
H1: p equal to 0.5
2. P cap = 104/ 260
P cap = 0.4. ( where p cap is the sample proportion)
3. Find the test statistic
Using : Z = ( p cap - p) /√ [(p ×q)/n] where p = 0.5 q= 1-p = 0.5. n=260
Z = -3.23
4. P value = 0.006
5. Since p value is less than the alpha level (0.01) . we reject the null hypothesis and conclude that the touch therapists are not effective.
