Answer:
x=9
Step-by-step explanation:
Looking at the diagram, we see that four angles are formed by the intersection of two lines. The angles highlighted in blue and green are therefore, vertical angles. We know that vertical angles have equal angle measures meaning that in this case, the measure of the blue angle is equal to the measure of the green angle. Using this, we can now solve for x:
7x+49=2x+94
7x-2x=94-49
5x=45
x=45/5
x=9
The (small) challenge here is to determine what the LCD is. Since 11, 17 and 3 are all prime, we find the LCD by multiplying them together: 561.
Then 9/11= 459/561; 15/17 = 495/561; and 2/3 = 375/561.
Answer:
11.7
Step-by-step explanation:
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Answer:
m+g
40
12m + 14g
250
Step-by-step explanation:
Jordan is paid $12 per hour for mowing lawns and $14 per hour for planting gardens.
Let m represents the number of hours mowing lawns and g represents the number of hours planting gardens.
He can work a maximum of 40 hours per week, and would like to earn at least $250 this week.
Then, the system of the inequality becomes
m+g40
12m + 14g250
Given b=4 and ∠β=20°,
a = 10.98991
c = 11.69522
∠α = 70° = 1.22173 rad = 7/18π
h = 3.75877
area = 21.97982
perimeter = 26.68513
inradius = 1.64735
circumradius = 5.84761
a
b
c
Calculation Steps
The following is one way to perform the calculation. It may not be the best way.
c =
b
sin(β)
= 11.69522
a = √c2 - b2
= √11.6952176006522 - 42
= √120.77811472661
= 10.98991
∠α = 90° - ∠β
= 70° = 1.22173 rad = 7/18π
area =
a × b
2
=
10.989909677818 × 4
2
= 21.97982
perimeter = a + b + c
= 10.989909677818 + 4 + 11.695217600652
= 26.68513
inradius =
a × b
a + b + c
=
43.959638711274
26.685127278471
= 1.64735
circumradius =
c
2
=
11.695217600652
2
= 5.84761
- ror
