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Inessa [10]
3 years ago
6

Given the system of equations, what is the solution? 3x - 2y + 10 = 0 5y = 4x + 8

Mathematics
1 answer:
jek_recluse [69]3 years ago
3 0
From the first equation y=(3x+10)/2
From the second equation y=(4x+8)/5
Therefore, (3x+10)/2 = (4x+8)/5
15x+50=8x+16
x= 16-50/7
x=34/7
y=(3*34/7 + 10)/2 = 51/7 +5
y=86/7
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CAN SOMEONE GOOD AT MATH HELP PLEEESE!!
Rufina [12.5K]

Answer: 1 .Thus for a graph to have an Euler circuit, all vertices must have even degree. The converse is also true: if all the vertices of a graph have even degree, then the graph has an Euler circuit, and if there are exactly two vertices with odd degree, the graph has an Euler path.

2. A graph has an Euler circuit if and only if the degree of every vertex is even. A graph has an Euler path if and only if there are at most two vertices with odd degree.

Step-by-step explanation:

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7 0
3 years ago
1. You are standing on top of a ridge using a clinometer trying to figure out how far your dog has wandered off in
olga_2 [115]

<u>Given:</u>

It is given that the ridge is 360 inches tall.

<u>Assumptions:</u>

Assume you are 170.1 cm tall which equals 67 inches tall, the height from your eye to the floor is 360+67 = 427 inches.

The distance from your eye level to the bottom of the ridge is 427 inches.

Assume the angle A is 60°.

<u>To find the distance from you to your dog.</u>

<u>Solution:</u>

A right-angled triangle can be formed where the angle is 60°, the distance between you and the dog is the hypotenuse of the triangle and your height from the floor is the adjacent side of the triangle.

Assume the hypotenuse of the triangle measures x inches.

To determine the length of the hypotenuse, we determine the cos of the angle.

cos \theta = \frac{adjacent side}{hypotenuse} .

cos A = \frac{427}{x} , x = \frac{427}{cos60} , cos60=0.5.

x=\frac{427}{0.5} = 854.

So if the ridge is 360 inches tall and you are 67 inches tall and the angle A is 60°, the distance between your dog and you is 854 inches.

3 0
3 years ago
Can someone help me these 2 questions? PLS and ty!
adelina 88 [10]

Answer:

y=60° b=60°

Step-by-step explanation:

the sum of all degrees of interior triangle is 180

in the first one, 30° and 90° have been given.(that small square represent 90°)

so 180°-90°-30°=60°

in the second one, the 120° is on the other side of a line, a line has a degree of 180, therefore the interior angle is 60°, the same rule 180°-2*60°=60°

5 0
2 years ago
Read 2 more answers
The floor of a rectangular living room is 21 feet by 28 feet. What is the distance between
swat32

Answer:

35 feet.

Step-by-step explanation:

To find this, we will need to use the Pythagorean theorem to solve for the diagonal length. Call this diagonal length 'd'.

d² = 21² + 28²

d² = 1225

d² = 35.

Thus, the diagonal length is 35 feet.

3 0
3 years ago
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anyanavicka [17]
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5 0
3 years ago
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