Answer:
(d) 55°
Step-by-step explanation:
Because segment AB is parallel to CD, ∠OAB will also have measure y°. (It is an alternate internal angle with ∠COA created by transversal AO.)
We assume that arc AB, marked "70", has a measure of 70°, which means ∠AOB = 70°.
ABO is an isosceles triangle, so its base angles are equal and the sum of its internal angles is 180°.
... y° + y° + 70° = 180°
... 2y = 110
... y = 55
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<em>Comment on units</em>
The number 70 is not marked as degrees, so we could take it as either an angle measure or an actual length (in which case the problem cannot be worked). A unitless angle measure is radians, but 70 radians makes no sense in this context. (70 radians is 11 full circles plus about 50.7°. "y" would have to be a rather large negative number for the angle measures to sum to 180° in triangle AOB.)
The value of y we found above is 55, so y° is then 55°. It makes no sense in this context for y to be called 55°, because the angle measure would then be ...
... 55°°
a value that has no meaning as an angle measure.
Answer:
step 3 has incorrect justification.
Step-by-step explanation:
because it was combine like terms but 8 is still in left hand side. So,combine like terms 3 has incorrect justification.
You can express the edge lengths in terms of "cubes" or you divide the total volume by the volume of a cube. It works either way.
Edge lengths are
.. 80 cubes by 8 cutes by 13 cubes
so total volume is
.. (80 * 8 * 13) = 8320 cubes
In cubic inches, the volume is
.. (20 in)*(2 in)*(3 1/4 in) = 130 in^3.
The volume of a 1/4-in cube is (1/4 in)^3 = 1/64 in^3.
Then the number of cubes that will fit in the prism is
.. (130 in^3)/(1/64 in^3) = 8320 . . . . cubes
8320 cubes are needed to fill the rectangular prism.
Answer:
x-8
Step-by-step explanation:
16 - 12 = 4 flowers
4f = 6 days
1 flower = 1.5 days
1.5 × 16 = 24 days
Hope this helped!!