Answer:
120ft²
Step-by-step explanation:
If you look at the figure, we have 4 triangles. Two of the triangles have measurements of 5 feet and 16 feet. 5×16=80 Next, since they are triangles, we have to divide the area in half - 80÷2=40. Now, since there are two triangles with the same side lengths and same area, I would have to multiply 40 by 2, which gets us 80 again. Therefore, keep in mind that the last two steps were unnecessary.
So now we will solve for the smaller two triangles. 5×8=40, and I would do the same thing as I did for the previous two triangles, but if you remember, that was canceled out was not effective. Therefore, since the figures are triangles but they have the same area, we'll stick with 40.
So now we know that the area of the two pairs of triangles is 40 and 80. Add them together and you get 120, which is our answer.
Answer:
In quadrilateral ABCD we have
AC = AD
and AB being the bisector of ∠A.
Now, in ΔABC and ΔABD,
AC = AD
[Given]
AB = AB
[Common]
∠CAB = ∠DAB [∴ AB bisects ∠CAD]
∴ Using SAS criteria, we have
ΔABC ≌ ΔABD.
∴ Corresponding parts of congruent triangles (c.p.c.t) are equal.
∴ BC = BD.
Answer:
No. See explanation below.
Step-by-step explanation:
A random sample is a type of sample in which every item has the same probability of being selected. Equally, after we take one item, the remaining items keep having the same probability of being selected.
In this problem, the vitamin pills are firstly obtained from the pills produced in an hour at the Health Supply Company, therefore, not all pills had the same probability of being selected in the first place.
Answer:
Step-by-step explanation:
Given :
From rules of probability :
........................... equation *
can be written as x
Also , can be written as x
substituting into equation * , we have
since P(B) = 0.7, then
so , substituting each values , we have
Answer:
Step-by-step explanation: