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2 years ago

In the triangle, find x, y, u, v

Mathematics

1 answer:

Gwar [14]2 years ago

8 0

Answer:

x = 9
y = 12
u = 24
v = 32

Step-by-step explanation:

Each of the triangles is similar, so we have ...

3/5 = (3+x)/20

x = 20(3/5) -3

x = 9

4/5 = (4+y)/20

y = 20(4/5) -4

y = 12

3/5 = (3 + x + u)/60

u = 60(3/5) -3 -9

u = 24

4/5 = (4 +y +v)/60

v = 60(4/5) -4 -12

v = 32

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sveticcg [70]

Answer:

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Step-by-step explanation:

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3 years ago

The terminal side of an angle in standard position passes through P(15, –8). What is the value of sine theta? sine theta = fifte

Pavlova-9 [17]

The value of sine theta = negative eight-seventeenths ⇒ 2nd

Step-by-step explanation:

Let us revise the quadrant of an angle its terminal side passes through a given point

If the given point is (x , y), then the angle lies in the 1st quadrant
If the given point is (-x , y), then the angle lies in the 2nd quadrant
If the given point is (-x , -y), then the angle lies in the 3rd quadrant
If the given point is (x , -y), then the angle lies in the 4th quadrant

∵ The terminal side of angle Ф passes through P (15 , -8)

∵ x = 15 and y = -8

- P is (x , -y), then the angle Ф lies in the 4th quadrant

∵ The terminal side of angle Ф is the hypotenuse of a right

triangle whose horizontal leg is 15 units and vertical leg

is -8 units

- Use Pythagoras Theorem to find the length of the hypotenuse

∴ Hypotenuse = $\sqrt{(15)^{2}+(-8)^{2}}=17$ units

∵ sinФ = $\frac{opposite}{hypotenuse}$

∵ The side opposite to Ф is -8

∵ The hypotenuse is 17

∴ sinФ = $\frac{-8}{17}$

The value of sine theta = negative eight-seventeenths

Learn more:

You can learn more about the trigonometry function in brainly.com/question/4924817

#LearnwithBrainly

3 0

2 years ago

Read 2 more answers

125 < 28 + 72 + 6x < 200

Olin [163]

Answer:

The answer is 25/6 < x < 50/3

Step-by-step explanation:

Move all terms not containing x from the center section of the inequality.

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2 years ago

Write xy^2-by^2-ax+ab+y^2-a as a product

Eddi Din [679]

Answer: (y^2-a)(1+x-b)

Step-by-step explanation:

Factor out the common terms: =x(y^2-a)-by^2+ab+y^2-a

Then rewrite as: =(y^2-a)x-by^2+ab+1 x (y^2-a)

Factor out the common term (y^2 - a): =(y^2-a)(x+1)-by^2+ab

Factor out the common term b: =(y^2-a)(1+x)+b(-y^2+a)

Rewrite as: =(y^2-a)(1+x)-(y^2-a)b

Factor out the common term (y^2 - a): =(y^2-a)(1+x-b)

6 0

2 years ago

Indica si es mayor que, igual que, o menor que (<,>,=) -4_3 5_-5 -6_0 -4_-12 -9_1 -8_100 -90_5 -3_-2 -7_-5 10_3

natita [175]

Answer:

-4<3, 5>-5, -6<0, -4>-12, -9<1, -8<100, -90<5, -3<-2, -7<-5, 10>3

Step-by-step explanation:

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3 years ago

In the triangle, find x, y, u, v ​

In the triangle, find x, y, u, v