We can set up a proportion to find this
60 x
--- = ----
100 1200
then we cross multiply and divide to solve
60 times 1200 is 72000 divided by 100 is 720
now we know his employer pays 720 out of 1200
we subtract to find out how much he pays
1200-720 is 480
fred pays 480
Answer:
x = 50
Step-by-step explanation:
Since MNP is a tangent to the circle at N, then
∠ ONP = 90° , so
∠ ONL = 90° - 55° = 35°
OL = ON ( both radii of the circle )
Thus Δ ONL is isosceles and the base angles are congruent
∠ OLN = ∠ ONL = 35°
JKLN is a cyclic quadrilateral whose opposite angles are supplementary, that is
∠KJN + ∠ KLN = 180 , substitute values
95 + 35 + x = 180
130 + x = 180 ( subtract 130 from both sides )
x = 50
(0.7p)=p-250
30% off of p must be equal to 250 less than p. As a result you can say that 0.7p (0.7Xp), which is 70% of p (100%-30%=70%) is equal to p-250, so 0.7p=p-250.
Answer:
Step-by-step explanation:
Note that this function resembles the absolute value function y = |x|.
The graph of y = |x| has its vertex at (0, 0) and opens up in a v-shape.
The graph of y = |x - 2| looks the same as that of y = |x|, but the entire graph has been translated 2 units to the right.
The graph of y = |x - 2| + 4 is that of y = |x - 2|, translated 4 units up.
Answer:
96
lower right
Step-by-step explanation:
Part 1
Givens
a1 = - 20
d = +4
n = 30
Equation
a30 = a1 + (n - 1)d
Solution
a30 = -20 + (30 - 1)*4
a30 = -20 + 29*4
a30 = - 20 + 116
a30 = 96
=====================
Part 2
Formula
Sum = (a1 + L)*n/2
n = 30
So only the two on the right can be considered
a1 = -20
L = 96
Sum = (-20 + 96)30/2 is the bottom right. D if you think of it that way.
