Answer:
x=29
Step-by-step explanation:
the line in the middle of the triangle is at a right angle, so each side of it must equal 90 degrees, so then 90=3x+3, 90-3=3x then you simply, 87=3x which equals x=29.
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.
So, we start by solving what the numbers are..
2x10^5 = 200000 IN 2010!
Now this is where you might get confused, that WAS 2.5 times the number IN 1985
So you divide 200,000 by 2.5 = 80,000
Therefore its C.
Answer:
Buddy the dog has 18 bones, but he was bad so his owner took some away. Buddy is left with 12 bones. How many bones did his owner take away?
Step-by-step explanation:
Step 1: Identify your varaibles. Buddy's original bones, 18. Buddy's bones after his owner took some way, 12. The bones that his owner took away, X
Step 2: set up your equation. X = 18 - 12
Step 3: solve for x. 18 - 12 = 6
Step 4: Answer the question in contect. His owner took away 6 bones.
Answer:
negative correlation.
Step-by-step explanation:
they are in a declining slope.
