12x2= $24
24+28+45= $97
So $97 is 100%
So 100%-30% =70% (30% off)
(note: 70% = 70/100 = 0.7)
97 x 0.7 = $67.90
<u>Complete Question</u>
In triangle ABC: AC=10
, AB=5., Angle C = 30 degrees.
In Triangle DEF: ED= 7.5
, DF=15, Angle F =30 degrees
, Angle E = 90 degrees.
Answer:
A, D and E
Step-by-step explanation:
The diagram is drawn and attached below.
- Triangle ABC is similar to Triangle DEF. (Option E)
Writing it backwards:
- Triangle CBA is similar to Triangle FED. (Option A)
Also,
- Triangle BAC is similar to EDF. (Option D).
Therefore, A, D and E are the similarity statements that describe the relationship between the two triangles.
We know that
a1=1
a2=3
a3=9
a2/a1=3/1----> 3
a3/a2=9/3----> 3
<span>common ration r is equal to 3
number of terms n is 12
The </span><span>Sum of geometric series is given by the formula
</span>Sum=a1*[1-r<span>^n]/[1-r]
</span>Sum=1*[1-3^12]/[1-3]-----> Sum=[1-3^12]/[1-3]----> [3^12-1]/[3-1]
<span>Sum=531440/2-----> 265720
the answer is
265720
</span>
14. sometimes, you can have a 45-45-90 or 60-30-90 triangle (degrees)
sometimes true
15. always
16. never, paralellogram has 2 pairs of paralell sides, trapezoid has 1
17.always
18. sometimes
19. always
20. always
600 * .34 = 204 are in 8th grade
204 * 1/4 = 51 51 8th graders walk to school
D