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blagie [28]
3 years ago
14

Triangle fgh is similar to triangle abc solve for x

Mathematics
1 answer:
Alex3 years ago
4 0

Need more information

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Would you mind giving me brainliest?

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The sum of three consecutive even integers is 36. Let X represent the first integer X plus to represent the second integer and X
tatuchka [14]

x,\ x+2,\ x+4-\text{three consecutive even integers}\\\\\text{The equation:}\\\\x+(x+2)+(x+4)=36\\\\3x+6=36\ \ \ \ |-6\\\\3x=30\ \ \ \ |:3\\\\x=10\\x+2=12\\x+4=14

6 0
3 years ago
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if you divide a five-digit number by a one-digit number, what is the largest possible remainder you can get ?
solmaris [256]
99999/8 has a remainder of 7
6 0
3 years ago
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The graph of f ′ (x), the derivative of f(x), is continuous for all x and consists of five line segments as shown below. Given f
Nataliya [291]

The maxima of f(x) occur at its critical points, where f '(x) is zero or undefined. We're given f '(x) is continuous, so we only care about the first case. Looking at the plot, we see that f '(x) = 0 when x = -4, x = 0, and x = 5.

Notice that f '(x) ≥ 0 for all x in the interval [0, 5]. This means f(x) is strictly increasing, and so the absolute maximum of f(x) over [0, 5] occurs at x = 5.

By the fundamental theorem of calculus,

\displaystyle f(5) = f(0) + \int_0^5 f'(x) \, dx

The definite integral corresponds to the area of a trapezoid with height 2 and "bases" of length 5 and 2, so

\displaystyle \int_0^5 f'(x) \, dx = \frac{5+2}2 \times 2 = 7

\implies \max\{f(x) \mid 0\le x \le5\} = f(5) = f(0) + 7 = \boxed{13}

8 0
2 years ago
List x1, x2, x3, x4 where xi is the midpoint endpoint of the five equal intervals used to estimate the area under the curve of f
Amanda [17]

Answer:

\bf x_1 = 2\\x_2 = 4\\x_3=6\\x_4=8

Step-by-step explanation:

The given interval : x = 0 to x = 10

Length of interval = 10 - 0

                              = 10

\text{Now, each }x_i \text{ is midpoint and endpoint of the five equal intervals}

⇒ Number of equal intervals = 5

\textbf{Length of each interval = }\frac{10}{5}

\textbf{Therefore, }\bf x_1 = 0 + 2 = 2\\x_2 = 2 +2 =4\\x_3=4+2=6\\x_4=6+2=8

3 0
3 years ago
What is the solution to 2logg(x)= logg8+logg(x-2)?<br> X=-4<br> O x=-2<br> O x=4<br> O X=8
solniwko [45]

Answer:

3x

Step-by-step explanation:

3 0
3 years ago
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