Since congruence and similarity for polygons is posted in a specific order, we know that angle A=angle F, side A=side F, die B=side G, and so on. Therefore, we have that angle C=angle H = 9x-7=5x+13. Subtracting 5x from both sides to separate the x using the subtraction property of equality, we get 4x-7=13. Next, we can add 7 to both sides to get 4x=20, and divide both sides by 4 to isolate the x and get x=5. Plugging that into angle C or angle H, we get that 9x-7=9*5-7=45-7=38=5*5+13.
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Answer:
0t=8
Step-by-step explanation:
3t+4=12+3t
3t-3t=12-4
0t=8
Answer: r = 2/3
Step-by-step explanation:
In a geometric sequence, the consecutive terms differ by a common ratio. The formula for determining the nth term of a geometric progression is expressed as
Tn = ar^(n - 1)
Where
a represents the first term of the sequence.
r represents the common ratio.
n represents the number of terms.
From the information given,
a = 36
The 4th term is 32/3
n = 4
Therefore,
T4 = 32/3 = 36 × r^(4 - 1)
32/3 = 36 × r^3
Dividing both sides if the equation by 36, it becomes
32/3 × 1/36 = r^3
8/27 = r^3
Taking cube root of both sides of the equation, it becomes
(8/27)^1/3 = r^3 × 1/3
r = 2/3
Answer:
x=2
Step-by-step explanation:
Add 5 to each side.
3x-5+5=1+5
3x=6
Divide each side by 3.
Your answer would be x=2.
Answer:
Step-by-step explanation:
<u>Given the equation: </u>
- E - weekly total, g- number of hours at gas station, t- number of hours at toy store.
<u>Substitute given values into equation and solve for the missing one:</u>
- 219.75 = 9.25g + 10.5*13
- 219.75 = 9.25g + 136.5
- 9.25g = 219.75 - 136.5
- 9.25g = 83.25
- g = 83.25/9.25
- g = 9
Sydawna works 9 hours at the gas station
