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4 years ago

ΔABC is similar to ΔAXY by a ratio of 4:3. If BC = 24, what is the length of XY?

Mathematics

2 answers:

pogonyaev4 years ago

6 0

Answer:

Step-by-step explanation:

24/4 = 6 so....

4*6 is 24 and 3*6 is 18

faltersainse [42]4 years ago

3 0

Answer:

Length of XY is 18 units.

Step-by-step explanation:

Given,

$\triangle ABC\sim \triangle AXY$

By the ratio of 4 : 3

That is, the ratio of corresponding sides of triangles ABC and AXY is 4 : 3,

$\implies \frac{AB}{AX}=\frac{BC}{XY}=\frac{AC}{AY}=\frac{4}{3}$

We have, BC = 24 units,

$\frac{24}{XY}=\frac{4}{3}$

$72=4XY$

$\implies XY=\frac{72}{4}=18$

Hence, the length of XY is 18 units.

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Which of the following functions is graphed below.

Valentin [98]

Answer: Option A

$y=\left \{ {{x^2 +2;\ \ x$

Step-by-step explanation:

In the graph we have a piecewise function composed of a parabola and a line.

The parabola has the vertex in the point (0, 2) and cuts the y-axis in y = 2.

The equation of this parabola is $y = x ^ 2 +2$

Then we have an equation line $y = -x + 2
$

Note that the interval in which the parabola is defined is from -∞ to x = 1. Note that the parabola does not include the point x = 1 because it is marked with an empty circle " о ."

(this is $x< 1$ )

Then the equation of the line goes from x = 1 to ∞ . In this case, the line includes x = 1 because the point at the end of the line is represented by a full circle .

(this is $x\geq 1$ )

Then the function is:

$y=\left \{ {{x^2 +2;\ \ x$

7 0

3 years ago

The negative reciprocal of -5/8 is: A. -5/8 B. 5/8 C. 8/5 D. -8/5

noname [10]

Answer:

+ 8/5

Step-by-step explanation:

Reciprocal is flip

Take the negative flip

- ( - 1 /(5/8))

+ 8/5

7 0

3 years ago

Read 2 more answers

67cd What are the factors of the expression? Drag all of the factors of the expression into the box. Factors −1 67 6 7c d

Romashka-Z-Leto [24]

If your looking for greatest common factors they are 1,67, c,and d.

7 0

3 years ago

Solve the matrix equation for a, b, c, and d. [1 2] [a b] [6 5][3 4] [c d]= [19 8]

Anit [1.1K]

Answer:

The answer is " $\bold{\left[\begin{array}{cc}a&b\\c&d\end{array}\right] = \left[\begin{array}{cc}7&-2\\ -\frac{1}{2}&\frac{7}{2}\end{array}\right]}$ ".

Step-by-step explanation:

$\bold{\left[\begin{array}{cc}1&2\\3&4\end{array}\right] \left[\begin{array}{cc}a&b\\c&d\end{array}\right] = \left[\begin{array}{cc}6&5\\ 19&8\end{array}\right]}$

Solve the L.H.S part:

$\left[\begin{array}{cc}1&2\\3&4\end{array}\right] \left[\begin{array}{cc}a&b\\c&d\end{array}\right]\\\\\\\left[\begin{array}{cc}a+2c&b+2d\\3a+4c&3b+4d\end{array}\right]$

After calculating the L.H.S part compare the value with R.H.S:

$\left[\begin{array}{cc}a+2c&b+2d\\3a+4c&3b+4d\end{array}\right]= \left[\begin{array}{cc}6&5\\ 19&8\end{array}\right]} \\\\$

$\to a+2c =6....(i)\\\\\to b+2d =5....(ii)\\\\\to 3a+4c =19....(iii)\\\\\to 3b+4d = 8 ....(iv)\\\\$

In equation (i) multiply by 3 and subtract by equation (iii):

$\to 3a+6c=18\\\to 3a+4c=19\\\\\text{subtract}... \\\\\to 2c = -1\\\\\to c= - \frac{1}{2}$

put the value of c in equation (i):

$\to a+ 2 (- \frac{1}{2})=6\\\\\to a- 2 \times \frac{1}{2}=6\\\\\to a- 1=6\\\\\to a =6 +1\\\\\to a = 7\\$

In equation (ii) multiply by 3 then subtract by equation (iv):

$\to 3b+6d=15\\\to 3b+4d=8\\\\\text{subtract...}\\\\\to 2d = 7\\\\\to d= \frac{7}{2}\\$

put the value of d in equation (iv):

$\to 3b+4 (\frac{7}{2})=8\\\\\to 3b+4 \times \frac{7}{2}=8\\\\\to 3b+14=8\\\\\to 3b =8-14\\\\\to 3b = -6\\\\\to b= \frac{-6}{3}\\\\\to b= -2$

The final answer is " $\bold{\left[\begin{array}{cc}a&b\\c&d\end{array}\right] = \left[\begin{array}{cc}7&-2\\ -\frac{1}{2}&\frac{7}{2}\end{array}\right]}$ ".

4 0

4 years ago

How many solutions does 5(x - 3) + 6 = 5x - 10 have?<br><br>(Will mark brainlest)

FrozenT [24]

Answer:

None (x=∅)

Step-by-step explanation:

5(x - 3) + 6 = 5x - 10

5x-15+6 = 5x-10

-15+6+10=5x-5x

1 = 0

x = ∅

3 0

3 years ago

Read 2 more answers