Here a right angled triangle given. We know that one angle of a right angled triangle is 90°.
As the sum of three angles of a triangle is 180°, so we can say the sum of other two angles of a right angled triangle is (180-90)° = 90°.
Here in the figure the other two angles given 
and 
. Sum of these two angles is 90°.
So we can write the equation as,
We have to remove the parenthesis now.
Now we will add the like terms. Here x and 2x are like terms. By adding them we will get,
To solve it for x, now we have to move 15 to the other side by subtracting it from both sides.
Now to get x, we have to move 3 to the other side, by dividing it to both sides.
We have got the required value of x.
The solution is x= 25.
Answer:
6 inches of tape
Step-by-step explanation:
To find the total amount of tape that Marge used, you can take the measure of each piece (
) and multiply by the total number of pieces cut (16):
So, Marge used 6 inches of tape altogether.
Answer and Step-by-step explanation:
Team: Points. Results fetching points
Arcadia. 3+1. 1 win & 1 draw
Brextone. 3+1. 1 win & 1 draw
Cremore 1+1. 2 draws
Dunross. 3+3. 2 wins
a) Based on the previous data, we can conclude that the number of matches drawn was 4
b) Dunross defeated cremore since cremore did not win any league game and dunross reported no ties
c) Yes, you can get a prediction of the matches with their respective results as follows
Brextone drew with Cremore
Dunross beat Arcadia
Arcadia beat Brextone
Arcadia drew with Cremore
Dunross beat Cremore
Your answer would be B
When you have two angles, and want to know which lines must be congruent, you have to look at the transversal first. The two angles will share a side which is the transversal, and then their other side is one of the parallel lines.
The converse of the corresponding angles theorem states that If corresponding angles are congruent, then the lines are parallel.
