All categories

3 years ago

May someone help me with these 2 again

Mathematics

1 answer:

cestrela7 [59]3 years ago

3 0

Answer:

1. 180

2. x = 31

Step-by-step explanation:

1. the sum of the interior angles of every triangle is always 180

2. using what we know from problem 1, we can create an equation:

x + 10 + 2x - 5 + 2x + 20 = 180

add like terms: 5x + 25 = 180

subtract 25 from both sides: 5x = 155

divide both sides by 5: x = 31

You might be interested in

The volume of a box is 8000 cubic millimeters. what is the edge length of the box?

worty [1.4K]

If you have a picture of the problem I can answer it so just send a pic of the math problem

8 0

3 years ago

Solve this equation for x: 2x^2 + 12x - 7 = 0

zhannawk [14.2K]

Answer:

x=0.5355 or x=-6.5355

First step is to: Isolate the constant term by adding 7 to both sides

Step-by-step explanation:

We want to solve this equation: $2x^2 + 12x - 7 = 0$

On observation, the trinomial is not factorizable so we use the Completing the square method.

Step 1: Isolate the constant term by adding 7 to both sides

$2x^2 + 12x - 7+7 = 0+7\\2x^2 + 12x=7$

Step 2: Divide the equation all through by the coefficient of $x^2$ which is 2.

$x^2 + 6x=\frac{7}{2}$

Step 3: Divide the coefficient of x by 2, square it and add it to both sides.

Coefficient of x=6

Divided by 2=3

Square of 3= $3^2$

Therefore, we have:

$x^2 + 6x+3^2=\frac{7}{2}+3^2$

Step 4: Write the Left Hand side in the form $(x+k)^2$

$(x+3)^2=\frac{7}{2}+3^2\\(x+3)^2=12.5\\$

Step 5: Take the square root of both sides and solve for x

$x+3=\pm\sqrt{12.5}\\x=-3\pm \sqrt{12.5}\\x=-3+ \sqrt{12.5}, $ or $x= -3- \sqrt{12.5}\\$x=0.5355 or x=-6.5355$

6 0

3 years ago

The perimeter of a picture frame is 68 inches. The difference between the length of the frame and th

Julli [10]

Answer:

L - W = 2 and 2L + 2W = 68

Step-by-step explanation:

The two equations here are going to be-

Length minus width equals 2

L - W = 2

And

Length x 2 + Width x 2 = 68

2L + 2W = 68

6 0

3 years ago

Please help me to find the formula for this? Thank you!

ch4aika [34]

Length X width = area. for this problem, just divide the area of 756 sq. inches by the length of 108 in. to find the width.

3 0

3 years ago

Read 2 more answers

Please answer i’ll give extra points

Rufina [12.5K]

Answer:

i think it might be d

Step-by-step explanation:

7 0

3 years ago