Sum of a number, n and 21...." the sum " means add
n + 21
if n = 8
8 + 21 = 29....the sum is 29
Answer:
Choice B: Only (-2, 9)
Step-by-step explanation:
Of the two choices, only the point (-2, 9) satisfies the equation:
... y = -2x +5
... 9 = -2(-2) +5 = 4 +5 = 9
Answer:
12 Bus Tickets
Step-by-step explanation:
18 / 4.50 = 4 x 3 Bus tickets = 12 Tickets
Answer:
And then replacing in the total probability formula we got:
And rounded we got 
That represent the probability that it rains over the weekend (either Saturday or Sunday)
Step-by-step explanation:
We can define the following notaton for the events:
A = It rains over the Saturday
B = It rains over the Sunday
We have the probabilities for these two events given:
And we are interested on the probability that it rains over the weekend (either Saturday or Sunday), so we want to find this probability:
And for this case we can use the total probability rule given by:
And since we are assuming the events independent we can find the probability of intersection like this:
And then replacing in the total probability formula we got:
And rounded we got
That represent the probability that it rains over the weekend (either Saturday or Sunday)
Answers: ∠a = 30° ; ∠b = 60° ; ∠c = 105<span>°.
</span>_____________________________________________
1) The measure of Angle a is 30°. (m∠a = 30°).
Proof: All vertical angles are congruent, and we are shown in the diagram that angle A — AND the angle labeled with the measurement of 30°— are vertical angles.
2) The measure of Angle b is 60°. (m∠b = 60<span>°).
Proof: All three angles of a triangle add up to 90 degrees. In the diagram, we can examine the triangle formed by Angle A, Angle B, and a 90</span>° angle. This is a right triangle, and the angle with 90∠ degrees is indicated as such (with the "square" symbol). So we know that one angle is 90°. We also know that m∠a = 30°. If there are three angles in a triangle, and all three angles must add up to 180°, and we know the measurements of two of the three angles, we can solve for the unknown measurement of the remaining angle, which in this case is: m∠b.
90° + 30° + m∠b = 180<span>° ;
</span>180° - (<span>90° + 30°) = m∠b ;
</span>180° - (120°) = m∠b = 60<span>°
</span>___________________________
Now we need to solve for the measure of Angle c (<span>m∠c).
___________________________________________
All angles on a straight line (or straight "line segment") are called "supplementary angles" and must add up to 180</span>°. As shown, Angle c is on a "straight line". The measurement of the remaining angle represented ("supplementary angle" to Angle c is 75° (shown on diagram). As such, the measure of "Angle C" (m∠c) = m∠c = 180° - 75° = 105°.
