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Trava [24]
3 years ago
10

Aisha is trying to determine if △LMN and △PQR are similar, congruent, or neither using the information in the diagram. Which sta

tement is true? The triangles are not similar, but they are congruent. The triangles are neither similar nor congruent. The triangles are similar by the SAS similarity theorem. The triangles are similar by the SSS similarity theorem.
Mathematics
2 answers:
nlexa [21]3 years ago
8 0

Answer:

The answer is D. on edgen.

Step-by-step explanation:

D. The triangles are similar by the SSS similarity theorem.

KatRina [158]3 years ago
5 0
The answer is D.The triangles are similar by the SSS similarity theorem.
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Find the solution of the square root of the quantity of x plus 2 plus 4 equals 8, and determine if it is an extraneous solution
Iteru [2.4K]

Consider the equation:

\sqrt{x+2}+4 = 8

Subtracting '4' from both the sides of the equation, we get as

\sqrt{x+2}+4-4= 8-4

\sqrt{x+2}= 4

Squaring on both the sides of the equation, we get

(\sqrt{x+2})^2 = (4)^2

x+2 = 16

Subtracting '2' from both the sides of the equation, we get

x+2-2=16-2

x=14

Since, An extraneous solution is a solution that arises from the solving process that is not really a solution at all. But, in this equation x=14 is the solution of the given equation.

Hence, it is not an extraneous solution.

4 0
3 years ago
Read 2 more answers
What are the factors of 2x + 3x - 54? Select two options
tiny-mole [99]

Answer:

The answer: The factors are (2x-9) and (x+6).

The Problem:

Factor 2x^2+3x-54

Step-by-step explanation:

So I'm going to do trial factors using the choices to aid me.

Factored form for this problem if it exist will be in the form:

(mx+n)(kx+p).

In general this is what it would look like if we factored any quadratic in terms of x (given the quadratic is not prime but technically you could factor even over the complex numbers).

Let's look at:

(mx+n)(kx+p)

We want to choose k \text{ and } m such that when you multiply them you get 2.  Well those would have to be 2 and 1.

(2x+n)(x+p)

we want to choose n \text{ and } p such that when you multiply them you get -54. Based on the choices we want to get with -9 and 6, or 9 and -6. We don't know the order we want to choose it in either.

For example which of these would work:

(2x-6)(x+9)

(2x+6)(x-9)

(2x-9)(x+6)

(2x+9)(x-6)

We are going to consider only the outer and inner of FOIL since we already know the first times the first is 2x^2 and the last times the last is -54.

Let's test the first one:

(2x-6)(x+9)

Outer:  2x(9)=18x

Inner: -6(x)=-6x

------------------------ADD!

18x-6x=12x

The first choice did not give us the middle term 3x.

Trying the second one would give us the opposite since they are in the same form as previous just the + and - are switched.

Let's look at the third one:

(2x-9)(x+6)

Outer: 2x(6)=12x

Inner: -9(x)=-9x

--------------------------ADD!

12x-9x=3x

This is the winner.

The answer: The factors are (2x-9) and (x+6).

7 0
2 years ago
Read 2 more answers
Ricky is filling an 8 inch by 4 inch by 4 1/2 inch rectangular box with packing peanuts. The peanuts are cubes that come in two
RideAnS [48]
First find the volume of the box: 8•4•4.5=144 cubic inches.
8 of the 1/8 inch=1 of the 1 cubic inch
He could do 144 and 0
143 and 8
142 or 16
Or just keep following the pattern... Hope that helped
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2 years ago
Use the model to solve the percent problem.
luda_lava [24]
30 is 20% of the number 150
4 0
2 years ago
Adam drew two same size rectangle and divided them into the same number of equal parts he shaded one third of one rectangle and
kotykmax [81]

The Answer is 12

The answer is 12

6 0
3 years ago
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