All categories

2 years ago

Given RS = 6, ST = 3, and SL = 4, find SM.

Mathematics

2 answers:

NemiM [27]2 years ago

7 0

A² + b² = c²
3² + 4² = c²
9 + 16 = c²
C² = 25
C = 5
so
SM = 5

Sergio039 [100]2 years ago

7 0

Answer:

$SM=5\ units$

Step-by-step explanation:

We know that

The diagonal SM of the rectangle LMTS is equal to (applying the Pythagoras Theorem)

$SM^{2}=SL^{2}+ST^{2}$

we have

$ST= 3\ units, SL=4\ units$

substitute the values

$SM^{2}=4^{2}+3^{2}$

$SM^{2}=25$

$SM=5\ units$

You might be interested in

Simplify: (3x-4)+(-2x+8).

maxonik [38]

Answer:

Step-by-step explanation:

x+4

4 0

2 years ago

F(x) = 1/x g(x) = x - 4 Can you evaluate (gof)(0)? Explain why or why not.

s344n2d4d5 [400]

(gof)(0) cannot be evaluated

Solution:

Given that,

$f(x) = \frac{1}{x}\\\\g(x) = x - 4$

A composite function is denoted by (g o f) (x) = g (f(x)).

The notation g o f is read as “g of f”

Therefore, let us find whether (gof)(0) can be evaluated or not

To find (gof)(0):

(g o f) (x) = g (f(x))

Now substitute the given value of f(x)

$(g o f) (x) = g(\frac{1}{x})$

$\text{ Substitute } x = \frac{1}{x} \text{ in } g(x) = x - 4$

$(g o f) (x) = \frac{1}{x} - 4$

Now to find (gof)(0), substitute x = 0

$(g o f) (x) = \frac{1}{0} - 4$

Since 1 divided by 0 is undefined, because any number divided by 0 is undefined

(gof)(0) cannot be evaluated

6 0

2 years ago

Read 2 more answers

Given AE and BD bisect each other at point c, which congruence theorem would you use to prove triangle ABC =~ triangle EDC ?

baherus [9]

The answer is C (SAS)

Explanation:
AC = EC
BC = DC
angle ACB = angle DCE (Vertically Opposite Angles)
Therefore, the triangles are congruent by the Side-Angle-Side congruency

4 0

2 years ago

Can i please have help ill give brainlist (pic below)

Marina CMI [18]

Answer:

Step-by-step explanation:

Because we are reflecting across the X-axis, the X coordinate does not change. On the other hand, the Y coordinate becomes its opposite. So we get:

(2, 4) -> (2, -4)

8 0

2 years ago

Read 2 more answers

Use algebra tiles to model the expression, and then combine like terms. Check all that apply. 3 + 2 + x + x Combine the x tiles

marysya [2.9K]

Answer:

im sorry but, im struggling on that problem too your awnser is 1, 3,5

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers