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Anastasy [175]
3 years ago
7

If lmn~ xyz which congruentes are true by CPCTC?

Mathematics
1 answer:
zhannawk [14.2K]3 years ago
3 0

Answer:

<h2>B. LN ≅ XZ</h2><h2>C. ∠Y ≅ ∠M</h2><h2>E. MN ≅ YZ</h2>

Step-by-step explanation:

CPCTC: Corresponding Parts of Congruent Triangles are Congruent

If ΔLMN ≅ ΔXYZ, then:

B. LN ≅ XZ

C. ∠Y ≅ ∠M

E. MN ≅ YZ

<em>Corresponding sides:</em>

<em>LN → XZ</em>

<em>LM → XY</em>

<em>MN → YZ</em>

<em>Corresponding angles:</em>

<em>∠L → ∠X</em>

<em>∠N → ∠Z</em>

<em>∠M → ∠Y</em>

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The answer is 9 I believe
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Find the solutions of the form x=a,y=0and x=0 ,y=b for the following equations: 2x+5y=10 and 2x+3y=6. is there any common soluti
Arlecino [84]

Answer:

 x=0 and y=2

Step-by-step explanation:

We have been given system of equations:

2x+5y=10     (1)

And 2x+3y=6     (2)

Subtract equation (2) from(1) we get:

2y=4

y=2

Now, substitute y=2 in equation(2) we get:

2x+3(2)=6

2x+6=6

2x=0

x=0

Hence, x=0 and y=2


8 0
3 years ago
This table shows values represented by an exponential function.
Bad White [126]

Answer:

a = 2 , f(2)=9

b = 4 , f(4)=64

And replacing the data into the average rate formula we got:

m = \frac{64-9}{4-2}= 27.5

And then the best answer for this case would be:

C. 27.5

Step-by-step explanation:

For this cae we know that the average rate of change of a function is given by this general expresion:

m = \frac{f(b) -f(a)}{b-a}

For this special case from the info of the table we have:

a = 2 , f(2)=9

b = 4 , f(4)=64

And replacing the data into the average rate formula we got:

m = \frac{64-9}{4-2}= 27.5

And then the best answer for this case would be:

C. 27.5

7 0
3 years ago
The graph of y=x^3 is transformed as shown in the graph below. With. Equation represents the transformed function
taurus [48]

Answer: y' = (-x)^3 - 4

Step-by-step explanation:

The graph y = f(x) = x^3 passes trough the point (0,0)

because when x = 0

f(0) = y = 0^3 = 0

in the graph of the image, we can see that the graph intersects the y-axis in the point (0, -4)

This means that we have a vertical displacement of 4 units downwards.

When we have a graph y = f(x), a vertical translation of A units can be written as

y' = f(x) + A

If A is positive, the displacement is upwards, if A is negative, the displacement is downwards.

So if the displacement is of 4 units down, A = -4

We also have that when x is negative, the value of y is positive.

But in our original function, we have that for x = -1, y  = (-1)^3 = -1  

so in our original function, when x is negative also does y.

Then we also did a reflection around the y-axis, this means that we now evaluate the function in -x instead of x.

So the equation of the graph is:

y' = (-x)^3 - 4

8 0
3 years ago
For her presentation on the Wonders of the World, Mary baked a square pyramid-shaped cake as pictured below. The slant height of
mihalych1998 [28]

Answer:

V=196in^3

Step-by-step explanation:

The volume of a pyramid is:

V=\frac{A_{b}h}{3}

where A_{b} is the area of the base and h is the height (the perpendicular measurement between base and highest point, not the slant height)

Since the base is a square, the area is given by:

A_{b}=l^2

where l is the length of the side: l=8in, thus:

A_{b}=(8in)^2\\A_{b}=64in^2

Now we need to find the height, for this we use the right triangle that forms with half of a square side (8in/2 = 4in), the slant height (10in), and the height.

In this right triangle, the slant height is the hypotenuse, the leg 1 is the unknown height, and leg 2 is half of the square side.

Using pythagoras:

hypotenuse^2=leg1^2+leg2^2

substituting our values, and indicating that leg 1 is height h:

(10in)^2=h^2+(4in)^2

100in^2=h^2+16in^2

and solving for the height:

h^2=100in^2-16in^2\\h^2=84in^2\\h=\sqrt{84in^2}\\ h=9.165in

and finally we calculate the volume using this height and the area of the base:

V=\frac{A_{b}h}{3}

V=\frac{(64in^2)(9.165in)}{3} \\V=195.5in^3

rounding to the nearest cubic inch: V=196in^3

4 0
3 years ago
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