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3 years ago

What value of x would make RST and STU supplementary?

Mathematics

1 answer:

Mademuasel [1]3 years ago

4 0

Answer:

33 degrees

Step-by-step explanation:

Supplementary angles add up to 180 degrees. So take (4x)+(x+15)=180. Simplify this to 5x+15=180, move 15 to the right by subtracting. 5x=180-15, 5x= 165. Now divide by 5, x=165/5, which is x= 33 degrees.

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-4x -7 - 3x + 4 = 25

zimovet [89]

Answer:

x=-4

Step-by-step explanation:

-4x -7 - 3x + 4 = 25

-7x=25-4+7

x=-28/7

x=-4

7 0

3 years ago

Read 2 more answers

A football stadium sells regular and box seating. There are twelve times as many

Vera_Pavlovna [14]

Answer:

There are 801 box seats and 9612 regular seats.

explanation:

Let the number of box seats be x,

Then the regular seats is 12x

The sum of seats equals to 10,413

<u>Solve:</u>

12x + x ➙ 10,413

13x ➙ 10413

x ➙ 801

There are 801 box seats.

<u>Find for regular seats:</u>

➙ 12(x)

➙ 12(801)

➙ 9612

There are 9612 regular seats.

6 0

2 years ago

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The height of a right cylinder is 3 times the radius of the base. The volume of the cylinder is 241 cubic units.

kifflom [539]

Answer: 6 units

Step-by-step explanation:

8 0

3 years ago

Use the grouping method to factor x³ + x² + 3x+3.

Annette [7]

Answer:

D. $(x + 1)(x^2 + 3)$

Step-by-step explanation:

Hello!

We can group the first two terms and the last two terms.

<h3>Factor by Grouping</h3>

$x^2 + x^2 + 3x + 3$
$x^2(x + 1) + 3(x + 1)$
$(x^2 + 3)(x + 1)$

Factoring by grouping is the process of breaking down larger polynomials to smaller ones to factor. We can then combine like factors.

In the second step, we can see that we can rewrite $x^3 + x^2$ as $x^2(x + 1)$ , as both the two terms share a common factor of $x^2$ . We can pull out $x^2$ from that expression. Similarly, $3x$ and $3$ share a common factor of $3$ , so we can pull that out.