9514 1404 393
Answer:
b. 5
Step-by-step explanation:
For the trinomial to be factorable using integers, the value of b will be the difference of two factors of 24.
24 = 1×24 = 2×12 = 3×8 = 4×6
Differences of these factors are 23, 10, 5, 2. Of these, only 5 is listed as a choice.
b = 5 will make the expression factorable.
Steps:
1. Turn the two mixed numbers into improper fractions.
36/5 and 18/5
2. Now divide the fractions by doing the reciprocal with the second fraction and changing the problem to a multiplication problem
36/5 times 5/18
3. 36 times 5=180
5 times 18=90
4. You simplify 180/90 by seeing how many times 180 goes into 90
5. Your answer is 2
B jcjchucjubchvufn bfyh y
Given:
m∠YXV = 3x + 48
m∠WUX = x + 62
Using the corresponding angle theorem, since X is the midpoint of UV and Y is the midpoint VW, m∠YXV is congruent to m∠WUX.
Thus, we have:
m∠YXV = m∠WUX
3x + 48 = x + 62
Solve for x.
Subtract x from both sides:
3x - x + 48 = x - x + 62
2x + 48 = 62
Subtract 48 from both sides:
2x + 48 - 48 = 62 - 48
2x = 14
Divide both sides by 2:
To find m∠WUX, where x = 7, we have:
m∠WUX = x + 62
= 7 + 62
= 69º
ANSWER:
m∠WUX = 69º
Unfortunately, unless you specify in what units Yi Ting's 1.49 height is, I can't express it in millimeters.
