Help please I don’t understand

Mathematics

1 answer:

MaRussiya [10]3 years ago

3 0

set them equal to their sum. which in this case is 141 then solve for x and plug it into your original equation to get your answer.

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What value of x will make ONM similar SRQ by the SAS similarity theorem?

Marta_Voda [28]

Answer:

The correct answer is 25

Step-by-step explanation:

See the attached figure.

SAS similarity theorem mean that when two triangles have corresponding angles are congruent and corresponding sides with identical ratios the triangles are similar.

So, if ΔONM similar ΔSRQ by the SAS similarity theorem

∴∠N = ∠R

And

$\frac{NM}{RQ} =\frac{NO}{RS}$

given that NM = 10 , NO = 8 , QR = x , RS = 20

∴ $\frac{10}{x} =\frac{8}{20}$

∴ $x=\frac{10*20}{8} =25$

So, the value of x will make ONM similar SRQ by the SAS similarity theorem = 25

7 0

3 years ago

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find the sum of a 9-term geometric sequence when the first term is 4 and the last term is 1,024 and select the correct answer be

olasank [31]

Hello,

$u_{1} =4\\
 u_{2} =4*q\\
 u_{3} =4*q^2\\
...\\

 u_{9} =4*q^8\\\\
==\textgreater\ 4*q^8=1024\\
==\textgreater\ q^8=256\\
==\textgreater\ q=2\mbox{( and there is a problem in the question) } \ or \ q=-2\\
if\ q=2 \ then\ \sum_{i=0}^{8}\ 4*(2)^i= 4*\dfrac{1-2^9}{1-2} =2044\\

if \ q=-2 \ then\ \sum_{i=0}^{8}\ 4*(-2)^i= 4*\dfrac{1-(-2)^9}{1+2} =684\\



$

Answer B (but see the problem)

7 0

3 years ago

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6 times a number is 27 less then the square of that number find the positive soloution

ella [17]

Answer:

Step-by-step explanation:

n2-27=6n

Than n (exponet) 2 - 27 - 6n = 0

Now factor (n-9)(n+3)=0

5 0

3 years ago