Answer:
230
Step-by-step explanation:
54+4×22×2
54+88×2
54+176
230
Answer:
a. 35 degrees
b. 145 degrees
Step-by-step explanation:
a. Since the two base angles of this triangle are congruent, we can conclude that the triangle is <em>isosceles, </em>which means that the two base angles and sides are congruent.
Now, knowing that information, we can subtract 110 from 180 (the sum of all interior angles in a triangle) and we get 70. But this isn't our answer. This is the sum of both base angles. Since the base angles are congruent, we can divide the 70 by 2 to get the measure of ONE base angle, which is 35 degrees.
b. There are two approaches to solve this problem. I have worked both out.
1) We can use the Exterior Angle Theorem, which states that the sum of the interior angles is equal to the exterior angle. We can add 110 to 35, so we get 145 degrees as the measure of <1.
2) The second approach is supplementary angles. Since we see that one of the base angles and <1 is on the same line, we can subtract 35 from 180 to find the measure of <1 to get 145 degrees.
Either way you use, you get the correct answer. Hope this helped!
Answer:
x = 8
Step-by-step explanation:
Step 1: Write equation
-5 + x = 3
Step 2: Solve for <em>x</em>
- Add 5 to both sides: x = 8
Step 3: Check
<em>Plug in x to verify it's a solution.</em>
-5 + 8 = 3
3 = 3
Answer:
<em>Both players will need to play 7 more games to have the same score.</em>
Step-by-step explanation:
Will makes 18 points per game and Tom makes 21 points per game. Will has a total of 483 points and Tom has 462 points.
We have to calculate the number of games Tom and Will need to play for them to have the same number of points. Since Tom makes more points per game, we're sure it will eventually happen.
Let's call x to the number of games that both players will play. Will will have a number of points equal to:
W = 483 + 18x
And Tom will have:
T = 462 + 21x
For both number of games to be equal, the equation to solve is:
483 + 18x= 462 + 21x
Move 18x to the right side and 462 to the left side:
483 - 462 = 21x - 18x
Operating:
21 = 3x
x = 21 / 3 = 7
Thus, both players will need to play 7 more games to have the same score.
