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Harman [31]
3 years ago
8

If x + 3y = 7 and y = 2, then x equals

Mathematics
2 answers:
borishaifa [10]3 years ago
6 0

Answer:

1

Step-by-step explanation:

x + 3y = 7

x + 3y = 2

3y = 3 x y

y = 2

3 x 2 = 6y

x + 6 = 7

7 - 6 = 1

x = 1

Plz give brainliest

Vaselesa [24]3 years ago
5 0
The answer is one . 3 times 2 is 6. And you know 6+1 =7
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Two triangles can be formed with the given information. Use the Law of Sines to solve the triangles.
EastWind [94]

Answer:

The Law of Sines applies to any triangle and works as follows:

a/sinA = b/sinB = c/sinC

We are attempting to solve for every angle and every side of the triangle. With the given information, A = 61°, a = 17, b = 19, we can solve for the unknown angle that is B.

a/sinA = b/sinB

17/sin61 = 19/sinB

sinB = (19/17)(sin61)

sinB = 0.9774

sin-1(sinB) = sin-1(0.9774)

B = 77.8°

With angle B we can solve for angle C and then side c.

A + B + C = 180°

C = 180° - A - B

C = 180° - 61° - 77.8°

C = 41.2°

a/sinA = c/sinC

17/sin61 = c/sin41.2

c = 17(sin41.2/sin61)

c = 12.8

The first solved triangle is:

A = 61°, a = 17, B = 77.8°, b = 19, C = 41.2°, c = 12.8

However, when we solved for angle B initially, that was not the only possible answer because of the fact that sinB = sin(180-B).

The other angle is simply 180°-77.8° = 102.2°. Therefore, angle B can also be 102.2° which will give us different values for c and C.

C = 180° - A - B

C = 180° - 61° - 102.2°

C = 16.8°

a/sinA = c/sinC

17/sin61 = c/sin16.8

c = 17(sin16.8/sin61)

c = 5.6

The complete second triangle has the following dimensions:

A = 61°, a = 17, B = 102.2°, b = 19, C = 16.8°, c = 5.6

The answer you are looking for is the first option given in the question:

B = 77.8°, C = 41.2°, c = 12.8; B = 102.2°, C = 16.8°, c = 5.6

Step-by-step explanation:

8 0
3 years ago
Find the length of the longest side of the rectangle whose vertices are given. a(2, 1), b(5, 4), c(0, 3), d(3, 6)
aleksandr82 [10.1K]
First, you plot the coordinates to visualize the problem clearly. As you can see in the picture, the longest sides could either be one of those marked in red. This could be initially determined when you use visual estimation. We measure this using the distance formula: d = √[(x2-x1)^2 + (y2-y1)^2)]

Between coordinates (0,3) and (3,6)
d = √[(3-0)^2 + (6-3)^2)]
d= 4.24 units

Between coordinates (2,1) and (5,4)
d = √[(5-2)^2 + (4-1)^2)]
d= 4.24 units

They are of equal length. Both are the longest sides which measures 4.24 units.

5 0
3 years ago
Hiring the bus will cost $25 a day for the driver, $2 per mile traveled, and $3 for gas per mile traveled. The field trip will t
Aneli [31]
The answer: 25+8+3(2)
8 0
3 years ago
Read 2 more answers
Write the ratio in its simplest form using the colon. 24 blue cars out of 48 cars.
Tems11 [23]

Answer:

1:2

Step-by-step explanation:

24 : 48 simplified is 1 : 2

7 0
3 years ago
How would i explain how i got my answer (my answer was 200, all the other numbers were already there)
BigorU [14]

Step-by-step explanation:

80 times 2 is 160

Therefore, 100 times 2 is 200

You multiply the denominator and numerator by the same number.

4 0
3 years ago
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