Can some break this down step by step please I'm confused?

Find the perimeter of the following triangle.

pashok25 [27]

Hello!

To find the perimeter of the triangle, we need to find the length of all the sides using the <u>distance formula</u>.

The distance formula is: $d =\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$ .

First, we can find the distance between the points (-3, -1) and (2, -1). The point (-3, -1) can be assigned to $(x_{1},y_{1})$ , and (2, -1) is assigned to $(x_{2},y_{2})$ . Then, substitute the values into the formula.

$d =\sqrt{(2 - (-3))^{2}+ (-1 - (-1))^{2}}$

$d =\sqrt{5^{2}+0^{2}}$

$d =\sqrt{25} = 5$

The distance between the points (-3, -1) and (2, -1) is 5 units.

Secondly, we need to find the distance between the points (2, 3) and (2, -1). Assign those points to $(x_{1},y_{1})$ and $(x_{2},y_{2})$ , then substitute it into the formula.

$d =\sqrt{(2 - 2)^{2}+ (-1 - 3)^{2}}$

$d =\sqrt{0^{2}+(-4)^{2}}$

$d =\sqrt{16} = 4$

The distance between the two points (2, 3) and (2, -1) is 4 units.

Finally, we use the distance formula again to find the distance between the points (-3, -1) and (2, 3). Remember the assign the ordered pairs to $(x_{1},y_{1})$ and $(x_{2},y_{2})$ and substitute!

$d =\sqrt{(2 -(-3))^{2}+ (3 - (-1))^{2}}$

$d =\sqrt{5^{2}+4^{2}}$

$d =\sqrt{25 + 16}$

$d =\sqrt{41}$ This is equal to approximately 6.40 units.

The last step is to find the perimeter. To find the perimeter, add of the three sides of the triangle together.

P = 5 units + 4 units + 6.4 units

P = 15.4 units

Therefore, the perimeter of this triangle is choice A, 15.4.

6 0

3 years ago

Please help asap 20 points

Fudgin [204]

D would be the answer.

5 0

3 years ago

The mean mark is 70% there are 30 students 20 of which are boys with a mean mark if 62% what is the mean for girls

Anna007 [38]

Answer:

This problem can be solved by working backwards.

Average of 30 students = 70.

Total marks of all the 30 students = 30x70 = 2100

Out of these 30, average of 20 students = 62

Total marks of these 30 students = 30x62 = 1860

So the total marks of the remaining 10 students = 2100-1860 = 240

Hence the average of the remaining 10 students = 240/10 = 24

7 0

3 years ago

Q A clothing company uses 280 pounds to make 70 shirts at this rate how many buttons with the clothing company used to make 460

Annette [7]

Answer:

1840

Step-by-step explanation:

The number of buttons used in making 1 shirt = 280/70 = 4 buttons

the number of buttons used in making 460 shirts = 460 x 4 = 1840 buttons

3 0

3 years ago

Select the correct answer from each drop-down menu. B For circle O, m In the figure, 2 C CD T - 125° and m2ABC= 55°. and 2 have

Veronika [31]

Answer:

Step-by-step explanation:

The relevant relations here are ...

the sum of arc measures in a semicircle is 180°
the sum of angles in a triangle is 180°

<h3>Arc measures</h3>

The given arc CD is part of the semicircular arc CDA. The remaining arc, DA, is the supplement of CD:

arc DA = 180° -CD = 180° -125° = 55°

Central angle AOD has the same measure, 55°. That is one of the acute angles in right triangle AOB, so the other one is the complement of 55°.

∠ABO = 90° -∠AOB = 90° -55°

∠ABO = 35°

<h3>Triangle angles</h3>

In right triangle ABC, angle ABC is given as 55°. The other acute angle, ACB, will be the complement of this.

∠ACB = 90° -∠ABC = 90° -55°

∠ACB = 35°

In the figure, angles ABO and ACB have measures of 35°.

6 0

2 years ago

Can some break this down step by step please I'm confused?​

Can some break this down step by step please I'm confused?