<ol>
<li><p>IN the integer 3589 the digits are all different and increase from left to right. How many integers between 4,000 and 5,000 have digits that are all different and that increase from left to right?</p></li>
<li><p>In triangle PQR, PQ=4, QR= 3, PR = 6 and the measure of angle PQR is X. Which of the following must be true about X?</p></li>
</ol>
<p>a)45 less than or equal to x which is less than 60
b)x=60
c)60<x<90 d)x="90" e)x="">90</x<90></p>
<p>
Easiest way is count and list.</p>
<p>4567
4568
4569</p>
<p>4578
4579
4589</p>
<p>4678
4679
4689</p>
<p>4789</p>
<p>Answer is 10 because there are 10 different possible integers between 4000 and 5000 with digits that are all different and increase left to right.
A 3-4-5 triangle (a triangle with sides of lengths 3, 4, and 5) has “X” as 90 degrees. This is a standard right triangle. By increasing the longest side, the hypotenuse, from 5 to 6, you are increasing the 90 degree angle, so X would be > 90.
Answer is E.</x<90></p>
<p>ahhhh thanks alot!</p>