14% of the towns population is over the age 65. If there are 320 residents over the age of 65, approximately what is the towns p
1 answer:
You might be interested in
Answer:
The value of x is 1.5
Step-by-step explanation:
<em>In similar figures, corresponding sides have the same ratio</em>
In the given figure
∵ There are 2 similar polygons
∴ We must write their names with corresponding angles
∵ ∠A = ∠L, ∠B = ∠M, ∠C = ∠N, ∠D = ∠P
∴ Their names are ABCD and LMNP
→ By using the rule above
∴ Their corresponding sides have the same ratio
∴ =
∵ AB = 14 and LM = x + 9
∵ BC = 10 and MN = x + 6
→ Substitute them in the ratio up
∴ =
→ By using the cross multiplication
∵ 14 × (x + 6) = 10 × (x + 9)
∴ 14(x) + 14(6) = 10(x) + 10(9)
∴ 14x + 84 = 10x + 90
→ Subtract 10x from both sides
∵ 14x - 10x + 84 = 10x - 10x + 90
∴ 4x + 84 = 90
→ Subtract both sides by 84
∵ 4x + 84 - 84 = 90 - 84
∴ 4x = 6
→ Divide both sides by 4 to find x
∴ x = 1.5
∴ The value of x is 1.5
Answer:
C. They have the same y-intercept and the same end behavior as x approaches ∞
Step-by-step explanation:
Both appear to be exponential functions, so will have the same end behavior as x approaches ∞.
The y-intercept on the graph is 2, as it is in the g(x) table.
The x-intercept on the graph is near -2, but it is -1 in the table.
So, the x-intercepts are different, the y-intercepts are the same, and the end behavior is the same.
_____
The growth factor for g(x) appears to be larger. The graph represents g(x) (black) and f(x) (red). The given table values are shown as green points.
Answer:
48 sq. units
Step-by-step explanation:
The area of a trapezoid is given by half sum of the bases multiplied by the height
where a and b are the two parallel sides of the trapezoid and h is the height or amplitude of the trapezoid
But you are aware that, the median of a trapezoid is equal to half the sum of the bases, thus the first part of the formulae is covered by the median
Hence area, A, of a trapezoid is simplified to product of median and amplitude