Answer:
Arc MP = 118 degrees
Step-by-step explanation:
From what we have;
Arc MP = PN - MN
for PN, we can see that we have a right triangle; that means the arc measure is 180 degrees
So PN is 180
Now, for MN, we are going to use angle-arc relationship
From what we have;
MN = 2 * 31 = 62 degrees
So we have the measure of MP as;
180 -62 = 118 degrees
Answer:
2x + (x + 2)
Step-by-step explanation:
Let the number = x
"twice a number" means 2x
"increased by the sum of the same number and five" means to add x + 5, so the expression is
2x + (x + 2)
477
The value of the first 7 from the left is 70.
If you divide 70 by 10, you get the value of the second seven, 7.
Another way to know this is equivalent fractions:
1/10 = 7/10
10 X 7 = 70
1 X 7 = 7
Answer:
60°,60° and 60°.
Step-by-step explanation:
The sum of the interior angle of a triangle
=180°
So, let us test measured sets to get which of them could be the interior angles of a triangle.
The sum of the first measured set
= 90° + 42° + 58°
=190°
Also, the sum of the second measured set
= 60°+ 60° + 60°
=180°
The sum of the third measured set,
= 100°+ 48° + 43°
=191°
Finally, the sum of the fourth measured set
= 31° + 75°+ 70°
=176°
We can clearly conclude that, the measured set 60°,60°and 60° could only be the the set of interior angles of a triangle. Since it is the only set that add up to 180°
The first one is 6 and the second I is 0