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Tasya [4]
3 years ago
6

Find x for each of these triangles please

Mathematics
1 answer:
notka56 [123]3 years ago
3 0

Answer:

8) 10°

9) X can not be determined.

10) 10°

11) 12 units.

Step-by-step explanation:

8) The three sides of the given triangle are equal. Hence, the triangle is an equilateral triangle, hence each angle will be 60°.

So, 6x = 60°  

⇒ x = 10°.

9) The three angles of the given triangle are equal. Hence, the triangle is an equilateral triangle, hence each side will be equal.

So, 6x - 5 = 6x

So, x can not be determined from this equation.

10) Δ KLM is equilateral, so, KN will bisect ∠ MKL. So, ∠ NKL = 30°

Hence, 3x = 30°

⇒ x = 10°

11) In Δ XYZ, XZ = XY , so, ∠ Z = ∠ Y.

Again, ∠ X is given to be 60°.

Therefore, each angle is 60°.

So, the triangle XYZ is equilateral, and each side will be equal.

So, 3x + 8 = 4x - 4

⇒ x = 12 units. (Answer)

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ki77a [65]

Answer:

\frac{2}{(x + 3)}

Step-by-step explanation:

\frac{2x - 10}{x^{2} - 2x - 15}

pull 2 from top

\frac{2(x - 5)}{x^{2} - 2x - 15}

we are looking to cancel (x-5) so will start with

(x - 5)(x + 3), selected (x+3) because the sign must be negative and must multiply to -15

\frac{2(x - 5)}{(x - 5)(x + 3)}  

now cancel (x-5)

\frac{2}{(x + 3)}

4 0
2 years ago
An airplane travels 5040 kilometers against the wind in 9 hours and 6660 kilometers with the wind in the same amount of time. Wh
dmitriy555 [2]

Answer:

Wyzant

Question

Flying against the wind, an airplane travels 4200 km in 7 hours. Flying with the wind, the same plane travels 4000 km in 4 hours. What is the rate of the plane in still air and what is the rate of the wind?

Answer · 1 vote

Let Va = the velocity of the airplane Let Vw = the velocity of the wind When flying with the wind: (Va+Vw)*(4 hours) = 4000 4Va + 4Vw = 4000 4Vw = 4000 - 4Va Vw = 1000 - Va When flying against the wind: (Va-Vw)*(7 hours) = 4200 km7Va - 7Vw = 4200 Substitute 1000-Va for Vw and solve for Va: 7Va - 7(1000-Va) = 4200 7Va -7000 + 7Va = 4200 14Va = 11200 Va = 800 km/hr Rate of wind: Vw = 1000 - Va = 1000 - 800 = 200 km/hour

More

Socratic

Question

Flying against the wind, an airplane travels 4500 in 5 hours. Flying with the wind, the same plane travels 4640 in 4 hours. What is the rate of the plane in still air and what is the rate of the wind?

Answer · 0 votes

The speed of plane in still air is 1030 km/hr and wind

Step-by-step explanation:

6 0
2 years ago
A rectangle has a perimeter of 84 meters. One dimension is 7 meters. How long is
Lemur [1.5K]

Answer:

The unknown dimension is 35

Step-by-step explanation:

The perimeter of a rectangle is l+l+w+w or 2l+2w (l=length, w=width)

l+l+w+w=84

7+7+w+w=84

14+w+w=84

then we subtract 14 from 84

w+w=70

2w=70

\frac{70}{2}=35

w=35

Let's check our answer

35+35+7+7=84

<u>Hope this helps :-)</u>

6 0
2 years ago
Thank you to all the people who helped! :)
ira [324]

Answer:

Oh my gosh!

Step-by-step explanation:

Good job, nice!

4 0
3 years ago
Read 2 more answers
10. The bill (including parts and labor) for the repair of an oven was $142. The cost
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Total cost=$142

cost of parts=$62

cost paid for labour=$142-$62=$80

According to question,

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which can be written as,

》cost of labour/time=$32

Use cross multiplication,

》time=cost of labour/32

Since cost of labour is 80,

Time=80/32

=2.5hrs

6 0
3 years ago
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