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Semenov [28]
3 years ago
10

Triangle XYZ is similar to triangle fgh solve for n​

Mathematics
1 answer:
solniwko [45]3 years ago
3 0

Answer:

Step-by-step explanation: the answer is 18

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Micks weekly wage is £343.75 following a 25% increase
svlad2 [7]
Let x = his wage before his raise.
x + .25x = 343.75
1.25x = 343.75
x = $ 275.00 Was his wage before his raise

3 0
3 years ago
What is the sum of 1/9,2/3 and 5/18
horrorfan [7]
You will have 1 and 1/18 properly, or 19/18 in an improper fraction.
4 0
3 years ago
Read 2 more answers
2x-1, x < 2 12. Show that f(x) = { 3x 2 x ≥ 2 is continuous.​
choli [55]

Using the continuity concept, since the lateral limits and the numeric value of the function are equal at the point in which the definition changes, the function is continuous.

<h3>What is the continuity concept?</h3>

A function f(x) is continuous at x = a if it is defined at x = a, and:

\lim_{x \rightarrow a^-} f(x) = \lim_{x \rightarrow a^+} f(x) = f(a)

The definition of the piecewise function is given by:

  • f(x) = 2x - 1, x < 2.
  • f(x) = 3x/2, x >= 2.

Since the definition of the function changes at x = 2, and the domain of the function has no restrictions, this is the only point in which there may be a discontinuity.

The lateral limits are:

  • \lim_{x \rightarrow 2^-} f(x) = \lim_{x \rightarrow 2} 2x - 1 = 2(2) - 1 = 3.
  • \lim_{x \rightarrow 2^+} f(x) = \lim_{x \rightarrow 2} 1.5x = 1.5(2) = 3.

The numeric value is:

f(2) = 1.5 x 2 = 3.

Since the lateral limits and the numeric value of the function are equal at the point in which the definition changes, the function is continuous.

More can be learned about the continuity concept at brainly.com/question/24637240

#SPJ1

4 0
2 years ago
The endpoints of RS are R(–5, 12) and S(4, –6). What are the coordinates of point T, which divides RS into a 4:5 ratio?
Ksivusya [100]

Answer:

Option 2 is correct that is (-1,4)

Step-by-step explanation:

We will use the section formula to find the coordinates of T

Formula is (x,y)=\frac{m_1x_2+m_2x_1}{m_1+m_2},\frac{m_1y_2+m_2y_1}{m_1+m_2}

Here, m_1=4,m_2=5,x_1=-5,y_1=12,x_2=4,y_2=-6

On substituting the values in the formula we get

(x,y)=\frac{4\cdot 4+5\cdot -5}{4+5},\frac{4\cdot -6+5\cdot 12}{4+5}

\Rightarrow (x,y)=\frac{4\cdot 4+5\cdot -5}{4+5},\frac{4\cdot -6+5\cdot 12}{4+5}

\Rightarrow (x,y)=\frac{16-25}{9},\frac{-24+60}{9}

\Rightarrow (x,y)=\frac{-9}{9},\frac{36}{9}

\Rightarrow (x,y)=(-1,4)

Therefore, option 2 is correct that is (-1,4)

4 0
3 years ago
Read 2 more answers
Translate the following statement to an inequality.
Irina-Kira [14]

Answer:

Step-by-step explanation:

a number no less then 15

let the number be x

no less then 15....means it has to be 15 or more

x > = 15 (thats greater then or equal to)

3 0
3 years ago
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