Answer:
Relative frequency is defined as the number of "desired" results ... A six-sided number cube labeled 1 through 6 is rolled 600 times. An odd number is rolled 272 times. Compare the experimental probability of rolling an odd number with ... of rolling an odd number
Step-by-step explanation:
Ok, so you know that AB + BC = AC, so you can identify the equation by identifying all of the segment values, as shown below,
AB= 2x-8 AB + BC = AC, therefore
BC= x+17 2x-8 + x+17 = 39
AC=39
So, simply solve the equation algebraically, first by combining all of the like terms, and you should get 3x + 9 = 39
You can subtract both sides by 9, leaving you with 3x=30
Now you can isolate "x" by dividing both sides by 3, leaving "x" to equal 10.
Now that you know the "x" value (10), you can now plug in all of the "x" terms with 10, like so:
AB= 2(10)-8 = 12
BC= 10+17 = 27
Adding both 12 and 27 will give you 39, confirming both the "x" value being 10 and the correct length of the segments AB and BC.
If you have anymore questions, please let me know.
Answer:
The longest side of the ΔQRS is Side RS.
Step-by-step explanation:
Given: m∠R=65°, m∠S=35° we don't know what m∠Q is in ΔQRS.
To find m∠Q , we first need to know that all triangles have a sum of 180°. Since we are already given two angle measurements ( m∠R and m∠S) we can add them both measurements up which gives us 100°. Then we subtract 100 from the triangle sum which is 180° (180°-100°) and we are left with 80°. Which mean that m∠Q got to be 80°.
Now we know the all the angles measurements we can immediately find out which side is the longest. <u>To find the longest side its always lie opposite the largest angle which in this m∠Q (80°).</u> Which mean that side RS is the longest side in the triangle.