Answer:
-20/33
Step-by-step explanation:
y2 - y1 / x2 - x1
1/6 - (-1/4) / -5/16 - 3/8
5/12 / -11/16
= -20/33
Ok, so first convert both the numbers to improper fractions. (Multiply the denominator of the fraction by the whole number and add the numerator of the fraction)
Then keep the first number the same, change the division symbol to a multiplication symbol and use the reciprocal of the second number. (flip the numbers so that the denominator becomes the numerator and the numerator becomes the denominator.)
Then simply multiply across.
Answer:
Step-by-step explanation:
In a geometric sequence, the next term is a constant times the previous term. This constant is determined by dividing the second term by the first, here giving 5. The remaining terms are checked to see that each is 5 times the previous. 75 is 15×5, 375 is 75×5.
Alternately, the nth term is first term times k^(n-1).
Here, that's 3×5^(10-1), 3×5^9=5859375
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.
Feel free to ask further questions!
