8+4= 12, 12 times 7 is equal to 84.
8x-32+19=8x-13
8x-51=8x-13
16x-51=13
16x/64
X=4
Step-by-step explanation:
You're given that ΔUVW is similar to ΔYZW. The tricky part is identifying which sides in ΔUVW correspond to which sides in ΔYZW.
The triangles share point W, so visually rotate one triangle around W until the two triangles align. That way, you can see that UW and ZW correspond to each other, and VW and YW correspond to each other.
Now you can find the scale:
VW / YW = 5/12
And you can write a proportion to find x:
UW / ZW = VW / YW
x / 64 = 5 / 12
x = 26 ⅔
Answer:
<u>Part (a)</u>
see attached for sample space
<u>Part (b) </u>
Total number of possible outcomes = 12
<u>Part (c)</u>
Her activity does not depend on which bus she takes, as we have been told that once she is on the bus, she randomly selects the activity. Therefore, the activity selection is independent from the bus selection.
The sample space confirms this as it shows that the probability of the selecting each activity is equally likely for each of the 4 buses.
Answer:
85
Step-by-step explanation:
68 x 5 = 340
80 x 3 = 240
340+240=580
750-580= 170
170 ÷ 2 ====== 85