Answer:
x = 100
Step-by-step explanation:
The ratios of long side to hypotenuse are the same for all these triangles.
x/(x+10) = (x+10)/(x+21)
x^2 +21x = x^2 +20x +100 . . . . . multiply by (x+10)(x+21), expand
x = 100 . . . . . . . . . . . . . . . . subtract x^2 +20x
In this problem it just goes left to right, 1-18+25 = -17+25 = 8
(1-18)+25-17+25=8<span>
</span>When you do addition and subtraction they are reversible so you just go left to right
Hello there!
The answer to this question will be answer choice A.
When using the SAS postulate, we need two pairs of sides and the pair of the angles between those two sides to be congruent.
It is given that one pair of sides are congruent, along with a pair of congruent angles.
We want the congruent angle to be between two congruent sides, thus AC must be congruent to EC in order for these triangles to be proven congruent by the SAS postulate.
Hope this helps and have an awesome day! :)
The decrease rate is 33.3%
Solution : 32$ on sale , original price is 48%
The deceased rate is x
48 (1-X)=32
x= 0.333
a) The linear function that models the population in t years after 2004 is: P(t) = -200t + 29600.
b) Using the function, the estimate for the population in 2020 is of 26,400.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
The initial population in 2004, of 29600, is the y-intercept. In 12 years, the population decayed 2400, hence the slope is:
m = -2400/12 = -200.
Hence the equation is:
P(t) = -200t + 29600.
2020 is 16 years after 2004, hence the estimate is:
P(16) = -200(16) + 29600 = 26,400.
More can be learned about linear functions at brainly.com/question/24808124
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