Answer:
<3 ~= <5 - Alternate Interior Angles Theorem
<3 ~= <7 - Corresponding Angles Theorem
<5 ~= <7 - Vertical Angles Theorem
line I || line m - Transitive Property
Answer:
The measure of Q is 116
Step-by-step explanation:
For a Rhombus, opposite angles are equal
so angle R is 64 too
Now, we should understand that the diagonals bisect the angles
So the angles in the triangle QTR are
Q + 32 + 32 = 180
Q = 180-64
Q = 116 degrees
To solve this problem, let us say that the action of
totally painting a small house is called “1 job”. Therefore the rates of each
person in painting the small house are:
Bill = 1 job / 3 days = 1 / 3
Sharon = 1 job / 4 days = 1 / 4
Wilber = 1 job / 5 days = 1 / 5
Therefore the total rate is calculated by simply adding
the rates of the three.
(1 / 3) + (1 / 4)
+ (1 / 5) = 1 / x
where x is the number of hours it take if all them paint
together
Calculating for by multiplying both sides by 60:
60 [(1 / 3) + (1 /
4) + (1 / 5) = 1 / x]
(60/3) + (60/4) + (60/5) = 60 / x
20 + 15 + 12 = 60 / x
47 = 60 / x
x = 60 / 47 hours
Answer:
60/47 hours
9514 1404 393
Answer:
11
Step-by-step explanation:
Put 3 where x is and do the arithmetic.
g(x) = x² +2
g(3) = 3² +2 = 9+2
g(3) = 11
