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3 years ago

Please help! Please explain how to do this, I am so lost.

Mathematics

1 answer:

alexdok [17]3 years ago

8 0

Ok, so we know that RST is equal to 6x+12
And RST is also equal to 78 + 3x-12
so we set them equal to each other

6x + 12 = 3x - 12 + 78
And simplify
3x = 54
x = 18

Finally, we solve for the angle with 18 for x

6(18) + 12
108 + 12
120

Hope this helps

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Find the geometric means in the following sequence.

soldi70 [24.7K]

Answer:

Last choice. d.

Step-by-step explanation:

We are given the first term and the sixth term.

The first term is $a_1=-9$ .

The sixth them is $a_6=a_1r^5=-9216$ .

Let's solve for the common ratio, r.

$-9r^5=-9216$

Divide both sides by -9:

$r^5=1024$

Take the fifth root of both sides:

$r=1024^{\frac{1}{5}}$

$r=4$

So the common ratio is 4.

$a_1=-9$

$a_2=-9(4)=-36$

$a_3=-9(4)^2=-144$

$a_4=-9(4)^3=-576$

$a_5=-9(4)^4=-2304$

$a_6=-9(4)^5=-9216$

8 0

4 years ago

Help pls........................

Alina [70]

The difference of 2.5 x $10^{4}$ - 1.5 x 10³ is 2.35 x $10^{4}$ .

<h3>What is the difference?</h3>

Difference is the result of the subtraction of two or more numbers. The numbers are written in scientific notation. Scientific notation is a method that is used to write large numbers.

The exponent of the numbers have different value. In order to evaluate them, they have to have the same values.

2.5 x $10^{4}$ - 1.5 x 10³

2.5 x $10^{4}$ - 0.15 x $10^{4}$

2.35 x $10^{4}$

To learn more about scientific notation, please check: brainly.com/question/25334755

#SPJ1

6 0

1 year ago

What is the slope of the line?<br> 2x+ 4y = 6x- y

DENIUS [597]

Answer:

4/5

Step-by-step explanation:

→ Rearrange to get into y = mx + c

5y = 4x + c

→ Divide everything by 5

y = 4/5x + c

6 0

3 years ago

Leonhard wants to place a triangular-based cabinet in the corner of his rectangle-shaped living room. The triangular base has a

almond37 [142]

Answer:

A. $x=\frac{-7+\sqrt{193}}{4}$

Step-by-step explanation:

We have, the dimensions of the living room are 30 ft and 20 ft.

Thus, area of the living room = length × width = 30 × 20 = 600 ft².

Now, it is given that the cabinet takes 6% of the living room i.e. 6% of 600 ft² = 0.06 × 600 = 36 ft².

As, the triangle has dimensions (2x+3) ft and (3x+6) ft.

So, the area of the triangle = $\frac{1}{2}\times base\times height$

i.e. Area of cabinet = $\frac{1}{2}\times (2x+3)\times (3x+6)$

i.e. Area of cabinet = $\frac{3}{2}\times (2x+3)\times (x+2)$

i.e. Area of cabinet = $\frac{3}{2}\times (2x^2+7x+6)$

Since, the cabinet takes 6% of the living room, we have,

$\frac{3}{2}\times (2x^2+7x+6)$ = 36

i.e. $2x^2+7x+6=36\times \frac{2}{3}$

i.e. $2x^2+7x+6=24$

i.e. $2x^2+7x-18=0$

Further, as the solution of a quadratic equation $ax^{2}+bx+c=0$ is given by $x=\frac{-b\pm \sqrt{b^{2}-4ac}}{2a}$

On comparing we have, a=2, b=7, c= -18.

Thus, $x=\frac{-7\pm \sqrt{7^{2}-4\times 2\times (-18)}}{2\times 2}$

i.e. $x=\frac{-7\pm \sqrt{49+144}}{4}$

i.e. $x=\frac{-7\pm \sqrt{193}}{4}$

i.e. $x=\frac{-7+\sqrt{193}}{4}$ and $x=\frac{-7-\sqrt{193}}{4}$

So, according to the options, we have,

A. $x=\frac{-7+\sqrt{193}}{4}$ is the correct value of x.

7 0

3 years ago

Give an explaination on what Comparing integers is

Paraphin [41]

Okay so basically an integer is just a whole number that isn’t a fraction. Comparing integers is basically comparing whole numbers. For example, comparing the numbers 2 and 34 would be 2<34 and that’s comparing them to each other! :)

3 0

3 years ago