no. mike added the two fractions incorrectly by not changing them to common denominators.
the correct answer:
4/7 + 1/4 = ?
4/7 = 16/28 (multiply both the numerator and denominator by 4 to get the common denominator fraction)
1/4 = 7/28 (multiply both the numerator and denominator by 7 to get the common denominator fraction)
16/28 + 7/28 = 23/28 (only add the numerators!!)
mike covered <u>23/28 </u>of the distance from his home to the library. (always check to see if your answer can be simplified)
Answer:
Claim 2
Step-by-step explanation:
The Inscribed Angle Theorem* tells you ...
... ∠RPQ = 1/2·∠ROQ
The multiplication property of equality tells you that multiplying both sides of this equation by 2 does not change the equality relationship.
... 2·∠RPQ = ∠ROQ
The symmetric property of equality says you can rearrange this to ...
... ∠ROQ = 2·∠RPQ . . . . the measure of ∠ROQ is twice the measure of ∠RPQ
_____
* You can prove the Inscribed Angle Theorem by drawing diameter POX and considering the relationship of angles XOQ and OPQ. The same consideration should be applied to angles XOR and OPR. In each case, you find the former is twice the latter, so the sum of angles XOR and XOQ will be twice the sum of angles OPR and OPQ. That is, angle ROQ is twice angle RPQ.
You can get to the required relationship by considering the sum of angles in a triangle and the sum of linear angles. As a shortcut, you can use the fact that an external angle is the sum of opposite internal angles of a triangle. Of course, triangles OPQ and OPR are both isosceles.
Answer:
Team sack = 9
Team tackle = 17
Step-by-step explanation:
To start with, we'd assume that
Let x = the points scored by Team Sack
Let x + 8 = the points scored by Team Tackle
x + x + 8 = 26
So, go further and solve mathematically
2x + 8 = 26
if we subtract 8 from both sides, we have
2x = 18
Next, we then divide both sides by 2. So that,
x = 18/2
x = 9
Since we assumed the total points for Team Sack to be x, then Team Sack scored 9 points while Team Tackle scored x + 8 points, and that is 17
40/15=64/q
The answer is q=24
Cos x=sin34
sin(90-x)=sin34
90-x=34
x=56
