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sergiy2304 [10]
3 years ago
6

HELP MI PORFA<3

Mathematics
1 answer:
Maru [420]3 years ago
3 0

Step-by-step explanation:

2(3x+4)=56

<=> 6x+8=56

<=> 6x=48

<=> x=8

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Which statement about the figure MUST be true? Select all that apply.
olga55 [171]
<h2>○=> <u>Correct options</u> :</h2><h2>□\color{plum}\tt\bold{(C) \: SR = 27}</h2><h2>□\color{plum}\tt\bold{(D) \: QR = 54 }</h2><h3><u>Steps to derive the correct options</u> :</h3>

Since two sides and one included angle is equal in △PQS and △PRS, we can conclude that they are congruent under the SAS congruence criterion.

Which means :

▪︎Angle S = Angle S

▪︎PS = PS

▪︎QS = RS

Given :

Measure of segment QS = 6n+3

Measure of segment RS = 4n+11

Thus :

= \tt6n + 3 = 4n + 11

= \tt6n + 3 - 4n = 11

=\tt 2n + 3 = 11

= \tt2n = 11 - 3

= \tt2n = 8

=\tt n =  \frac{8}{2}

\hookrightarrow\color{plum}\tt n = 4

Thus, the value of n = 4

Measure of segment QS :

=\tt 6n + 3

= \tt6 \times 4 + 3

= \tt24 + 3

\color{plum}\tt \: \bold{QS = 6n + 3 = \tt\bold{27}}

Thus, measure of QS = 27

Measure of RS :

=\tt 4n + 11

=\tt 4 × 4 + 11

=\tt 16+11

\color{plum}\tt \: \bold{RS = 4n + 11 = \tt\bold{27}}

Measure of QR :

=\tt 27+27

\color{plum}\tt \: \bold{QR = 27+27 \tt\bold{=54}}

Thus :

▪︎QS = 27

▪︎RS = 27

▪︎QR = 54

Therefore, the correct options are :

▪︎(C) SR = 27

▪︎(D) QR = 54

7 0
3 years ago
Factor using the trinomial<br> 10.<br> X2 + 13x + 12
Rudik [331]

Answer:

Factoring the trinomial: x^2+13x+12 we get the factors \mathbf{(x+1)(x+12)}

Step-by-step explanation:

We need to factor the trinomial: x^2+13x+12

We can factor the trinomial by breaking the middle term i.e 13x

Such that adding or subtracting gets the both terms we get 13x and multiplying both terms we get 12x^2

We can break 13x as: 12x and x

Adding them we get 13x and multiplying them we get 12x^2

So,

x^2+13x+12\\=x^2+12x+x+12\\=x(x+12)+1(x+12)\\=(x+1)(x+12)

So, Factoring the trinomial: x^2+13x+12 we get the factors \mathbf{(x+1)(x+12)}

8 0
3 years ago
Alvin has a prism-like water tank whose base area is 0.9 square meters and height is 0.6 meters. He wants to
lara [203]

Answer:Alvin can have 2 fish

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
URGENT HELP !!!!!! answer correctly !!!!! Will be marking Brianliest !!!!!!!!!!!!!
anzhelika [568]

Answer:

(-2, -6)

Step-by-step explanation:

Slope: 1

5 0
3 years ago
879,100 rounded to the nearest ten thousand
faust18 [17]
880,000 is the answer
5 0
3 years ago
Read 2 more answers
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