To solve this problem we want to let X equal the amount of points that team A scored. Now we want to express the amount of points that team B scored in terms of X. If team A scored 7 more points than team B then team B scored X-7 points. We know that together they scored 163 points so we can set up this equation: x + x - 7 = 163 2x - 7 = 163 2x = 155 X = 78 Team A scored 78 points
Answer:
19,419.09
Step-by-step explanation:
Answer:
<em>The measure of the angles is 45° and 135°</em>
Step-by-step explanation:
When two lines intersect, a linear pair of angles is formed. Two angles are said to be linear if they are adjacent, so a linear pair of angles must add up to 180 degrees.
Let's call x and y the two required angles. Knowing they form a linear pair:
x+y=180
We also know one angle is 1/3 of the other angle, thus:
x=y/3
Or, equivalently:
3x=y
Substituting y into the first equation:
x+3x=180
Simplifying:
4x=180
Solving:
x=180/4=45
The other angle is:
y=3x=3\cdot 45=135
Thus the measure of the angles is 45° and 135°
Option D she ends up paying $7004.16 due to her bankruptcy
Answer:
Step-by-step explanation:
If a triangle is a right triangle, then its side lengths must satisfy the Pythagorean Theorem: a^2 + b^2 = c^2, where c is the hypotenuse.
Let's check A, B, C and D in that order and determine which, if any, satisfies this requirement.
A: 7^2 + 7^2 = 10^2 => 49 + 49 = 100 False; eliminate option A.
B: 4.5^2 + 6^2 = 40.5 is NOT equal to 7.5^2. False: eliminate option B.
C: 10^2 + 11^2 = 221 is NOT equal to 15^2. False: eliminate Option C.
D: 8^2 + 10^2 = 164 is NOT equal to 13^2. False: eliminate Option D.
None of these seets could be the side lengths of a right triangle.
