Answer:
Step-by-step explanation:
Comment
The square of the tangent = the external segment of the secant * the full length of the secant.
Formula
(x - 1)^2 = (x - 3)*(x - 3 + 5) Combine the right
Solution
(x - 1)^2 = (x - 3)*(x +2) Remove the brackets on both sides
x^2 - 2x + 1 = x^2 -3x + 2x - 6 Combine the right
x^2 - 2x + 1 = x^2 - x - 6 Subtract x^2 from both sides
-2x + 1 = - x - 6 Add 6 to both sides
-2x + 1 + 6 = -x - 6 + 6 Combine
-2x + 7 = - x Add 2x to both sides
-2x+2x + 7 = -x+2x Combine
7 = x
Answer
x = 7
The missing value of x will be 9.6 mL.
<h3>What are ratio and proportion?</h3>
A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.
The equation is given below.
12.5 mg : 5 mL = 24 mg : x mL
Then the value of x will be
12.5 / 5 = 24 / x
x = (24 × 5) / 12.5
x = 9.6 mL
More about the ratio and the proportion link is given below.
brainly.com/question/14335762
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Answer:
Use the formula for Arithmetic only if it is Arithmetic: a1+ (n-1)d
a represents the first number in the sequence, n represents the number, and d represent common difference
Use the formula for geometric sequence: an=a1r the exponent of r to n-1
an represents the nth term you are trying to find, a1 represents the first number, r represents the common ratio, and n-1 is just the nth term minus 1.
Once you figure out if the sequence is arithmetic or geometric you one of those formulas.
Answer:
-3/5
Step-by-step explanation:
the customary way to determine the slope of a linear equation such as this one is to solve the equation for y:
-3x-5y=15 becomes -5y = 15 + 3x after 3x is added to both sides of the original equation.
Solving both sides of this latest result by -5 results in
y = -3 - (3/5)x
The coefficient of x (which here is 3/5) is the slope of this equation.
Answer:
Penguins can swim at a speed of 19.77 miles per hour.
Step-by-step explanation:
Since penguins can swim at speeds of up to 29 feet per second, to convert this speed to miles per hour, knowing that 1 mile is equal to 5280 feet, the following calculation must be performed:
1 hour = 60 minutes
1 minute = 60 seconds
1 hour = 60x60 seconds = 3,600 seconds
29 x 3,600 = feet per hour = 104,400
104,400 / 5,280 = miles per hour = 19.77
Thus, penguins can swim at a speed of 19.77 miles per hour.
