Answer:
1. Interior angles:- B and F
C and G
2. Corresponding angles:- E and G
F and H
A and C
B and D
3. Equal
4. Angle A = 105
Angle C = 105
Angle D = 75
Angle E = 75
Angle F = 105
Angle G = 75
Angle H = 105
5. Angle D
6. Angle B = 65
Step-by-step explanation:
1. The pairs of angles on one side of the transversal but inside the two lines are called Consecutive Interior Angles.
∴ Pair of interior angles are:- 1) B and F
2) C and G
2. Corresponding angles:- the angles which occupy the same relative position at each intersection where a straight line crosses two others.
∴ Pair of corresponding angles:- 1) A and C
2) B and D
3) E and G
4) F and H
3. Angle D and E are equal as they form alternate exterior angles.
4. Angle B = 75 degrees
Angle A = (180-B) = 105 degrees
Angle C = (180-B) = 105 degrees(interior angles)
Angle D = B = 75 degrees(corresponding angles)
Angle E = B = 75 degrees(congruent angles)
Angle F = (180-B) = 105 degrees
Angle G = B = 75 degrees(alternate interior angles)
Angle A = (180-B) = 105 degrees
5. Angle D
6. Angle F = 115 degrees
Angle B = (180-115) = 65 degrees
Answer:
$90
Step-by-step explanation:
First the given is the listed price of DVD which is 120 dollars.
Now we need to find out what the price will be after discount of 25%
To do this we will have to convert the percentage to decimal by moving decimal 2 place left and removing percentage sign which will become 0.25.
Then we multiply by the listed price which is 120
so 120*0.25=30
so we subtract 30 by original price cause that is the discount off we are receiving
120-30=90
so 90 will be the sale price after 25% discount.
Answer:
88.51 is the minimum score needed to receive a grade of A.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 73
Standard Deviation, σ = 11
We are given that the distribution of exam grades is a bell shaped distribution that is a normal distribution.
Formula:
We have to find the value of x such that the probability is 0.0793.
Calculation the value from standard normal z table, we have,
Hence, 88.51 is the minimum score needed to receive a grade of A.
The correct product should have been:
<span>(–4x + 9)2 = </span>(-4x)2 + 2(-4x)(9) + 9^2 = 16x6 - 72x +81
The result is a trinomial and not a binomial nor a difference of two squares.
So, the answer is:
C = Kylie did not understand that this is a perfect square trinomial, and she did not determine the product correctly.
