<h3>
Answer:</h3>
∠C = 40°
∠D = 75°
<h3>
Step-by-step explanation:</h3>
AB ║ CD, so AD and BC are transversals. The angle pairs (A, D) and (B, C) are "alternate interior angles", hence congruent.
∠C = ∠B = 40°
∠D = ∠A = 75°
Answer:
D. (7, 0)
Step-by-step explanation:
The rule for a reflection over the y-axis is (x, y) → (x, -y)
This means that the x-values stay the same while the y-values change.
Q(x, y) → (x, -y)
Q(3, 0) → (3, 0)
Q'(3, 0)
P(x, y) → (x, -y)
P(5, 6) → (5, -6)
P'(5, -6)
R(x, y) → (x, -y)
R(7, 0) → (7, 0)
R'(7, 0)
Therefore, the correct answer is D.
Hope this helps!
Answer:
m<F = 79 degrees
Step-by-step explanation:
As per the given information;
m<E = 22, the triangle EDF (the one that is given in the picture) is isosceles (meaning that the sides are congruent).
In an isosceles triangle, (a triangle where the sides are congruent) the base angles (the angles opposite to the two congruent sides) are also congruent. One should also know, that in an isosceles triangle, like in any triangle, the sum of the measures of the angles equals 180 degrees.
Using this we can say that
m<D = m<F
To keep it simple while solving the problem, let's say that they have a value of x degrees.
So,
m<E + m<D + m<F =180
Subsitute
22 + x + x = 180
Simplify and inverse operations
22 + x + x = 180
-22 -22
2x = 158
/2 /2
x = 79
So the measure of <D and <F is 79 degrees.
If they all painted at the same rate the equation is this
mothers 8
daughters 12 at 220 sq ft
mothers 6
daughters 8 at 152 sq ft
220 +152 =372 divided by 34 (because they all painted at the same rate)=10.94 sq ft they each painted
Answer:
The sum of the probabilities is greater than 100%; and the distribution is too uniform to be a normal distribution.
Step-by-step explanation:
The sum of the probabilities of a distribution should be 100%. When you add the probabilities of this distribution together, you have
22+24+21+26+28 = 46+21+26+28 = 67+26+28 = 93+28 = 121
This is more than 100%, which is a flaw with the results.
A normal distribution is a bell-shaped distribution. Graphing the probabilities for this distribution, we would have a bar up to 22; a bar to 24; a bar to 21; a bar to 26; and bar to 28.
The bars would not create a bell-shaped curve; thus this is not a normal distribution.