All categories

3 years ago

67 pts who ever answers wins. its a photo

Mathematics

1 answer:

leonid [27]3 years ago

4 0

Since angles 3 and 2 are congruent, angle 2 is 112 degrees. Also, because angles 2 and 1 are vertical angles, they'll have the same measurement.

So m<1=112 degrees

You might be interested in

A travel agent is booking trips for tourists who travel from New York to Chicago. Tourists have three choices for how to travel

Hitman42 [59]

List all the different combinations with total cost:

Airplane + van = 350 + 60 = $410

Airplane + cab = 350 + 40 = $390

Bus + van = 150 + 60 = $210

Bus + cab = 150 + 40 = $190

Train + van = 225 + 60 = $285

Train + cab = 225 + 40 = $265

There are 6 different combinations.

There are 2 that are more than $300

The probability would be quantity higher than 300 / total combinations.

Probability = 2/6 = 1/3

4 0

3 years ago

Find x so that x, X +2, X'+3 are the first three terms of a geometric sequence. Then find the 5" term of the

velikii [3]

Answer:

The fifth term is -1/4.

Step-by-step explanation:

We know that the first three terms of the geometric sequence is x, x + 2, and x + 3.

So, our first term is x.

Then our second term will be our first term multiplied by the common ratio r. So:

$x+2=xr$

And our third term will be our first term multiplied by the common ratio r twice. Therefore:

$x+3=xr^2$

Solve for x. From the second term, we can divide both sides by x:

$\displaystyle r=\frac{x+2}{x}$

Substitute this into the third equation:

$\displaystyle x+3=x\Big(\frac{x+2}{x}\Big)^2$

Square:

$\displaystyle x+3 = x\Big( \frac{(x+2)^2}{x^2} \Big)$

Simplify:

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

We can multiply both sides by x:

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

Expand:

$x^2+3x=x^2+4x+4$

Isolate the x:

$-x=4$

Hence, our first term is:

$x=-4$

Then our common ratio r is:

$\displaystyle r=\frac{(-4)+2}{-4}=\frac{-2}{-4}=\frac{1}{2}$

So, our first term is -4 and our common ratio is 1/2.

Then our sequence will be -4, -2, -1, -1/2, -1/4.

You can verify that the first three terms indeed follow the pattern of x, x + 2, and x + 3.

So, our fifth term is -1/4.

4 0

3 years ago

The distance between Capeton and Jonesville is 80 miles. The scale on the map is 0.75 in. : 10 miles. How far apart are the citi

Mnenie [13.5K]

The answer to this question is 6 in. Hope this helps.

7 0

4 years ago

Luke bought three canvas boxes to store his papers. The canvas boxes have dimensions of 12 inches by 10 inches by 12 inches. Wha

eimsori [14]

Answer:4320

Step-by-step explanation:

12x12x10x3

5 0

3 years ago

Read 2 more answers

1) The given line passes through the points (−4, −3) and (4, 1).

USPshnik [31]

1). y-3=-2(x+4)

2) slope = 3/4
y+2=3/4(x+4)
y=3/4x +1
3x-4y=4

looks like only the last one

7 0

4 years ago

Read 2 more answers