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2 years ago

Using the given picture, determine which 2 lines are parallel and which theorem proves it.

Mathematics

2 answers:

s2008m [1.1K]2 years ago

7 0

Answer:

(See below)

Step-by-step explanation:

First: alternate interior

Second: corresponding

Third: alternate exterior

Fourth: consecutive interior (the interiors add up to 180 degrees)

gtnhenbr [62]2 years ago

6 0

Answer:

mkmk

Step-by-step explanation:

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A farmer has a field in the shape of a triangle. The farmer has asked the manufacturing class at your school to build a metal fe

Finger [1]

Answer:

Fencing required = 1586 m

Step-by-step explanation:

The given statements can be thought of a triangle $\triangle ABC$ as shown in the diagram attached.

A be the 1st vertex, B be the 2nd vertex and C be the 3rd vertex.

Distance between 1st and 2nd vertex, AB = 435 m

Distance between 2nd and 3rd vertex, AC = 656 m

$\angle A =49^\circ$

To find:

Fencing required for the triangular field.

Solution:

Here, we know two sides of a triangle and the angle between them.

To find the fencing or perimeter of the triangle, we need the third side.

Let us use Cosine Rule to find the third side.

Formula for cosine rule:

$cos A = \dfrac{b^{2}+c^{2}-a^{2}}{2bc}$

Where

a is the side opposite to $\angle A$

b is the side opposite to $\angle B$

c is the side opposite to $\angle C$

$\Rightarrow cos 49^\circ = \dfrac{656^{2}+435^{2}-BC^{2}}{2\times 435\times 656}\\\Rightarrow BC^2 = 430336+189225-2 (435)(656)cos49^\circ\\\Rightarrow BC^2 = 430336+189225-570720\times cos49^\circ\\\Rightarrow BC^2 =619561-570720\times cos49^\circ\\\Rightarrow BC \approx 495\ m$

Perimeter of the triangle = Sum of three sides = AB + BC + AC

Perimeter of the triangle = 435 + 495 + 656 = 1586 m

Fencing required = 1586 m

4 0

3 years ago

Write an equation for the n th term of the arthemeric sequence 6,3,0,-3

s344n2d4d5 [400]

Answer:

x nth term =6–3(n-1)

Step-by-step explanation:

Since they start at 6 its X nth term n=6- but since the since one is 6 its 3(n-1) so x nth term=6-3(n-1)

3 0

3 years ago

Pleaseeeeeeeee answer if you do your the best at life!!!!!

jenyasd209 [6]

x+(-8)= -12

x-8= -12

x= -12+8

x=-4

-3 + x = 10

x=10+3

x=13

-2+x= -5

x=-5+2

x=-3

4 0

3 years ago

Read 2 more answers

Shakira went bowling with her friends .she paid $3 to rent shoes and then $4.75 for each game of bowling.if she spent a total of

zloy xaker [14]

Shakira bowled around 4 games

3 0

3 years ago

Read 2 more answers

A chef is going to use a mixture of two brands of Italian dressing. The first brand contains 9% vinegar, and the second brand co

tester [92]

First brand = A, second brand = B.

A + B = 249ml
9% A + 14% B = 13% 249ml

B = 249ml - A
9% A + 14% (249ml - A) = 13% 249ml

9A + 14 (249ml - A) = 13 * 249ml
9A + 3486ml - 14A = 3237ml
5A = 249ml
A = 49,8ml
B = 249ml - A = 199,2ml

Answer: He should use 49,8ml of first brand and 199,2ml of second brand.

Also note: That's an approximation, because the volumes are not strictly additive. For example: mixing 50ml pure ethanol with 50ml water will give you about 95ml of mixture. To get an accurate answer, you'd have to measure the volume of the final mixture and then divide your total alcohol content by that.

8 0

3 years ago