Step-by-step explanation:
To check if a solution is extraneous, simply plug it back into the original equation. If it works, then solution isn't extraneous.
√(2x−1) = 7
√(2(25)−1) = 7
√(50−1) = 7
√(49) = 7
7 = 7
So the solution isn't extraneous.
sara is unlikely to score a point on her next turn
Answer:
Find the measure of the indicated angle. (remember that the sum of interior angles is equal to 180 degrees) Q. Find the measure of each angle indicated. Q. If all three angles are exactly the same measure, how big is each angle? Q. Find the missing angle. Q. Find the measure of the angle x. Q.
Step-by-step explanation:
If angle 1 is 135 degrees, how many degrees is angle 3? Q. What angle pair is pictured? Q. Find the measure of the indicated angle. (remember that the sum of interior angles is equal to 180 degrees) Q. Find the measure of each angle indicated. Q. If all three angles are exactly the same measure, how big is each angle? Q. Find the missing angle.
For a), this is clearly a given as it is literally to the right of where it says “Given:”
For b), since ON bisects ∠JOH, this means that it splits it into two separate angles - JON and HON, which are similar due to that bisects mean that it splits it equally into two halves
For c), since NO is the same thing as NO, it is equal to itself
For d), since AAS (angle-angle-side) congruence states that if there are two angles that are congruent (proved in a) and b) ) as well as that a side is congruent (proved in c) ), two triangles are congruent
For e), since two triangles are congruent, every side must have one side that it matches up to in the other triangle. As the opposite side of angle H is JO and the opposite side of angle J is OH, and ∠J=∠H, those two are congruent. As JN and HN are the two sides left, they must be congruent.
Feel free to ask further questions!
The answer is 46.
Since the sum of the interior angles of a triangle is always 180,
We can find out angle C by subtracting the other two angles
180-102-32=46
