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meriva
3 years ago
6

Given: g∥h and ∠1≅∠5 Prove: ∠5≅∠3

Mathematics
1 answer:
ioda3 years ago
6 0

Answer:

evewifvnwifvnwiejfvniewjfv

Step-by-step explanation:

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Suppose we want to choose 2 letters, without replacement, from the 4 letters A, B, C, and D.
Amiraneli [1.4K]

Answer:

Letters can be chosen in 12 different ways, if order matters, or 6 different ways, if order doesn't matter.

Step-by-step explanation:

Since we want to choose 2 letters, without replacement, from the 4 letters A, B, C, and D, to determine in how many ways can this be done, if the order of the choices matters, and in how many ways can this be done, if the order of the choices does not matter, the following calculations must be performed:

If order matters =

 

(4 x 3 x 2 x 1) / 2 = X

24/2 = X

12 = X

If the order doesn't matter =

12/2 = X

6 = X

Therefore, letters can be chosen in 12 different ways, if order matters, or 6 different ways, if order doesn't matter.

3 0
3 years ago
The vertices of xyz are x(-3,-6), Y(21,-6), and z(21,4). What is the perimeter of the triangle
xxTIMURxx [149]
Note that this a right-angled triangle with the right angle at Y. 

<span>Use coordinates of the point to find XY and YZ </span>

<span>XY = 21 - (-3) </span>

<span>= 24 </span>

<span>YZ = 4 - (-6) </span>

<span>= 10 </span>

<span>Use Pythagoras theorem to XZ </span>

<span>XZ = sqrt[24^2 + 10^2] </span>

<span>= 26 </span>

<span>Perimeter = 26 + 24 + 10 </span>

<span>= 60</span>
8 0
3 years ago
Read 2 more answers
Selena's gross annual salary as the Content editor of a fashion Magazine is Rs 40000 she contribute 10% of her salary. before sh
aalyn [17]

Answer:

Selena's annual intake home salary is $ 26,640.

Step-by-step explanation:

Since Selena's gross annual salary as the content editor of a fashion Magazine is $ 40,000, and she contributes 10% of her salary before she pays taxes to a retirement account, and 25% of her remaining salary is then consumed in state and federal taxes, To determine what is Selena's annual intake home salary if she also has to pay $ 30 for health Insurance each month, the following calculation must be performed:

40,000 - (40,000 x 0.1) - (40,000 x 0.9 x 0.25) - (30 x 12) = X

40,000 - 4,000 - 9,000 - 360 = X

26.640 = X

Therefore, Selena's annual intake home salary is $ 26,640.

7 0
3 years ago
If 25=4x-7, then x =
sasho [114]

Answer:

x=8

Step-by-step explanation:

Move all terms that don't contain  x  to the right side and solve.

6 0
3 years ago
A hoop, a uniform solid cylinder, a spherical shell, and a uniform solid sphere are released from rest at the top of an incline.
Serjik [45]

Answer:

Step-by-step explanation:

Given

Hoop, Uniform Solid Cylinder, Spherical shell and a uniform Solid sphere released from Rest from same height

Suppose they have same mass and radius

time Period is given by

t=\sqrt{\frac{2h}{a}} ,where h=height of release

a=acceleration

a=\frac{g\sin \theta }{1+\frac{I}{mr^2}}

Where I=moment of inertia

a for hoop

a=\frac{g\sin \theta }{1+\frac{mr^2}{mr^2}}

a=\frac{g\sin \theta }{2}

a for Uniform solid cylinder

a=\frac{g\sin \theta }{1+\frac{mr^2}{2mr^2}}

a=\frac{2g\sin \theta }{3}

a for spherical shell

a=\frac{g\sin \theta }{1+\frac{2mr^2}{3mr^2}}

a=\frac{3g\sin \theta }{5}

a for Uniform Solid

a=\frac{g\sin \theta }{1+\frac{2mr^2}{5mr^2}}

a=\frac{5g\sin \theta }{7}

time taken will be inversely proportional to the square root of acceleration

t_1=k\sqrt{2}=1.414k

t_2=k\sqrt{\frac{3}{2}}=1.224k

t_3=k\sqrt{\frac{5}{3}}=1.2909k

t_4=k\sqrt{\frac{7}{5}}=1.183k

thus first one to reach is Solid Sphere

second is Uniform solid cylinder

third is Spherical Shell

Fourth is hoop

3 0
3 years ago
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