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3 years ago

2. What is the value of x if the angles within a triangle are 2x +1, 7x-2 and 3x +5?

Mathematics

1 answer:

noname [10]3 years ago

8 0

Answer:

$x=14.67\\$ °

Step-by-step explanation:

The sum of all the three angles of any triangle is 180°

Putting sum of all the angles given equals to 180°

$(2x+1)+(7x-2)+(3x+5)=$ $180$ °

$2x+7x+3x+1-2+5=180$ °

$12x+4=180$ °

$x=\frac{180-4}{12}$

$x=14.67\\$ °

The value of the x is found on solving the given angles of the triangles.

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When asked to rewrite the expression (x3 + 2x? – x)-(-x3 + 2x2 + 6), Denise made a mistake. She did not get the correct answer,

DanielleElmas [232]

Answer:

She rewrote the problem without parentheses: x3+ 2x2 - x + x3 – 2x2 +6

Step-by-step explanation:

It looks like she didn't fully distribute the -

(x3 + 2x2 - x)-(-x3 + 2x2 + 6) :Original

x3+ 2x2 - x + x3 – 2x2 +6 :Changed

(x3 + 2x2 - x)-(-x3 + 2x2 + 6)

x3 + 2x2 - x + x3 - 2x2 - 6

x3 + x3 + 2x2 - 2x2 -x - 6

2x3-x-6

I hope this helps ^-^

3 0

3 years ago

Tickets to the school dance cost $3.00 in advance or $5.00 at the door. There were a total of 184 tickets sold, raising $688. Ho

GenaCL600 [577]

Answer: They sold 68 tickets at the door
688-920= -2x= -232
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5 0

3 years ago

Find all the zeros of the polynomial function p(x) = x3 – 5x2 + 33x – 29

hram777 [196]

Answer:

$\large \boxed{\sf \ \ x=1, \ \ x=2+5i, \ \ x=2-5i \ \ }$

Step-by-step explanation:

Hello,

I assume that we are working in $\mathbb{C}$ , otherwise there is only one zero which is 1. Please consider the following.

First of all, <u>we can notice that 1 is a trivial solution</u> as

$p(1) = 1^3-5\cdot 1^2 + 33\cdot 1-29=1-5+33-29=0$

It means that (x-1) is a factor of p(x) so we can find two real numbers, a and b, so that we can write the following.

$p(x)=(x-1)(x^2+ax+b)=x^3+ax^2+bx-x^2-ax-b=x^3+(a-1)x^2+(b-a)x-b$

Let's identify like terms as below.

a-1 = -5 <=> a = -5 + 1 = -4

b-a = 33

-b = -29 <=> b = 29

$\boxed{ \ p(x)=(x-1)(x^2-4x+29) \ }$

Now, we need to find the zeroes of the second factor, meaning finding x so that:

$x^2-4x+29=0 \ \text{ complete the square, 29 = 25 + 4} \\ \\ x^2-2\cdot 2 \cdot x+2^2+25=0 \\ \\ (x-2)^2=-25=(5i)^2 \ \text{ take the root } \\ \\x-2=\pm 5i \ \text{ add 2 } \\ \\ x = 2+5i \ \text{ or } \ x = 2-5i$

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

5 0

3 years ago

Which expression is equivalent to -2(5x – 0.75)?

katen-ka-za [31]

Answer:

0 - 10x + 1.5

Step-by-step explanation:

-2(5x - 0.75)

Expand the bracket

-10x + 1.5

0 - 10x + 1.5 is the equivalent expression

3 0

3 years ago

Read 2 more answers

Pls help with all of this idk how to do

garik1379 [7]

4 times 1 = 4 so the top one would be 4/12, but i can't help with the rest because i don't understand what they are asking for

5 0

3 years ago