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12345 [234]
3 years ago
13

Find the value of x in each case:

Mathematics
2 answers:
pickupchik [31]3 years ago
8 0

Answer: X = 15

Step-by-step explanation: 5x and the angle next to 9x would be equal to 8x and 5x and the angle next to 8x would be equal to 9x. So the angles that are not given would be 4x and 3x. If you add all of the angles up inside the triangle (5x + 4x + 3x) it equals 12. A triangle has 180 degrees so we have to divide 180 by 12 which comes out to ***15***

kicyunya [14]3 years ago
7 0
I think the value of x is 15
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Which represents the solution(s) of the equation x2 = 289?
sergeinik [125]

Answer:

B) x = +/- 17

Step-by-step explanation:

3 0
3 years ago
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Write an equation for an ellipse centered at the origin, which has foci at (\pm8,0)(±8,0)left parenthesis, plus minus, 8, comma,
mario62 [17]

Answer:

The equation of the ellipse is \frac{x^{2}}{(17)^{2}}+\frac{y^{2}}{(15)^{2}}=1

Step-by-step explanation:

The standard form of the equation of an ellipse with center (0 , 0) is

\frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}=1 , where

  • The coordinates of the vertices are (± a , 0)  
  • The coordinates of the foci are (± c , 0) , where c ² = a² - b²  

∵ The ellipse is centered at the origin

∴ The center of it is (0 , 0)

∵ It has foci at (± 8 , 0)

- The coordinates of the foci are (± c , 0)

∴ c = ±8

∵ It has Vertices at (± 17 , 0)

- The coordinates of the vertices are (± a , 0)

∴ a = ±17

∵ c² = a² - b²

- Substitute the values of c and a to find b

∴ (8)² = (17)² - b²

∴ 64 = 289 - b²

- Add b² to both sides

∴ b² + 64 = 289

- Subtract 64 from both sides

∴ b² = 225

- Take √  for both sides

∴ b = ± 15

∵ The equation of the ellipse is \frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}=1

- Substitute the values of a and b in it

∴ \frac{x^{2}}{(17)^{2}}+\frac{y^{2}}{(15)^{2}}=1 ⇒ \frac{x^{2}}{289}+\frac{y^{2}}{225}=1  

∴ The equation of the ellipse is \frac{x^{2}}{(17)^{2}}+\frac{y^{2}}{(15)^{2}}=1

6 0
3 years ago
Zaire spent 55 hours in 2 weeks working on a science project. She worked 32 hours the first week. Write and solve an addition eq
umka21 [38]

Answer:

23

Step-by-step explanation:

55-32=23

5 0
2 years ago
Read 2 more answers
calculate the total potential energy in kj of an object whose mass is 20 kg when it is located 20 m below a datum level in a loc
Airida [17]

Answer:

The energy in object is 3.8 Kilo Joules.  

Step-by-step explanation:

We are given the following in the question:

Mass = 20 kg

Height,h = 20 m

g=9.5 m/s^2

Formula:

Potential energy  =

E = Mgh

Putting value we get,

E = 20(20)(9.5)\\E = 3800~J\\E = 3.8~KJ

Thus, the energy in object is 3.8 Kilo Joules.

5 0
3 years ago
In parallelogram ABCD, the measure of angle A=3x and the measure of angle B =x+10. What is the measure of angle D?
Alinara [238K]

Answer: 52.5

Step-by-step explanation: 2(3x+10)+2(x+10)=360 because all the sides of a rhombus equal 360 and alternate sides are equal

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-20=-20

8x/8=340/8

x=42.5

x+10. 42.5+10=52.5

D=52.5

4 0
2 years ago
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