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3 years ago

Juliet went to the

Mathematics

2 answers:

svetlana [45]3 years ago

5 0

Answer:

I think it's $2 sorry if I'm wrong

pishuonlain [190]3 years ago

3 0

Answer:

Step-by-step explanation:

7 - 3 = 4

4/2 = 2

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Find the length of each side of the triangle determined by the three points P1,P2, and P3. State whether the triangle is an isos

Tanya [424]

Answer:

The triangle is both an Isosceles triangle and a right triangle.

Step-by-step explanation:

Given the vertices of a triangle.

$P_{1} = (- 1, 4)$

$P_{2} = (6, 2)$ and

$P_{3} = (4, - 5)$

We find the distance between all the points to determine the length of each side of the triangle.

Distance between any two points, say, $(x_1, y_1)$ and $(x_2, y_2)$ is:

$\sqrt{\bigg ( \textbf{x}_{\textbf{2}} \hspace{1mm} \textbf{- x}_{\textbf{1}} \bigg )^{\textbf{2}} \textbf{+} \bigg( \textbf{y}_{\textbf{2}} \hspace{1mm} \textbf{- y}_{\textbf{1}} \bigg)^ {\textbf{2}}$

Length between $P_1$ and $P_{2}$ , (Side 1) :

$(x_1, y_1) = (- 1, 4)$ and

$(x_2, y_2) = (6, 2)$

Distance = $\sqrt{\bigg(6 - (-1) \bigg)^{2} \hspace{1mm} + \hspace{1mm} \bigg( 2 - 4 \bigg )^2$

$= \sqrt{7^2 + 2^2}$

$= \sqrt{49 + 4}$

$= \sqrt{\textbf{53}}$

Length of Side 1 = $\sqrt{\textbf{53}}$ units.

Distance between $P_1$ and $P_2$ , (Side 2):

$(x_1, y_1) = (-1, 4)$

$(x_2, y_2) = (4, - 5)$

Distance = $\sqrt{ \bigg( 4 + 1 \bigg)^2 \hspace{1mm} + \bigg( - 5 - 4 \bigg ) ^2$

$= \sqrt{ 25 + 81 }$

$= \sqrt{\textbf{106}}$

Length of Side 2 = $\sqrt{\textbf{106}}$ units.

Distance between $P_2$ and $P_3$ , Side 3 :

$(x_1, y_1) = (4, 5)$

$(x_2, y_2) = (6, 2)$

Distance = $\sqrt{ 2^2 \hspace{1mm} + \hspace{1mm} 7^2}$

$= \sqrt{49 + 4}$

$= \sqrt{\textbf{53}$

Length of Side 3 = $\sqrt{\textbf{53}}$ units.

Note that the length of Side 1 = Length of Side 3.

That means the triangle is Isosceles.

Also, For a triangle to be right angle triangle, using Pythagoras theorem we have:

(Side 1)² + (Side 3)² = (Side 2)²

$\bigg( \sqrt{53} \bigg )^2 \hspace{1mm} + \hspace{1mm} \bigg( \sqrt{53} \bigg)^2 \hspace{1mm} = \hspace{1mm} \bigg ( \sqrt{106} \bigg ) ^2$

i.e, 53 + 53 = 106

Hence, the triangle is a right - angled triangle as well.

7 0

4 years ago

Need help on this please help

kobusy [5.1K]

Answer:

The measure of ∠A is 127°.

Step-by-step explanation:

The interior angles of a triangle always add up to 180°. Since you can fix three triangles into a pentagon, the sum of its interior of angles is 540° You could also look at how many angles there are (5), multiply that number by 180°, then subtract 360° from the product.

540° - (113° + 80° + 130° + 90°) = ∠A

540° - 413° = 127°

∠A = 127°

Hope this helps,

~ Nicki ~

8 0

3 years ago

Read 2 more answers

Help plz ill give u BRAINEST

d1i1m1o1n [39]

Answer:

First option, relation 1 and relation 4

Step-by-step explanation:

Because they both cross one of the two axes once, which from what I remember, makes it a function.

Hope this makes sense, and please correct me if I'm wrong :)

3 0

3 years ago

Find the slope of the line that passes through (10, 2) and (1, 6).

hjlf

The original answer would be 4 over negative 9 but when divide a positive by a negative your new answer would be negative 4 over 9. The correct format should be negative 4 over 9

3 0

3 years ago

10 POINTS SOMEONE PLEASEE HELP

d1i1m1o1n [39]

Answer:

x = 18.5

∠1 = 76°

∠2 = 104°

∠3 = 76°

∠4 = 104°

∠5 = 76°

∠6 = 104°

Step-by-step explanation:

4x + 2 + 6x - 7 = 180

4x + 6x = 180 - 2 + 7

10x = 185

x = 185/10

x = 18.5

∠1 = 76°

∠2 = 104°

∠3 = 76°

∠4 = 104°

∠5 = 76°

∠6 = 104°

5 0

4 years ago