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jekas [21]
4 years ago
15

PLEASE HELP m<6 = (2x-5)° m<4 = (x+5)°

Mathematics
1 answer:
-Dominant- [34]4 years ago
6 0

9514 1404 393

Answer:

  ∠3 = 115°

Step-by-step explanation:

Angles 4 and 6 are "same-side interior angles", so are supplementary.

  ∠4 +∠6 = 180°

  (x +5) +(2x -5) = 180

  3x = 180

  x = 60

The angles marked 3 and 6 are alternate interior angles, so are congruent. The measure of angle 3 is ...

  ∠3 = ∠6 = (2x -5)° = (2(60) -5)°

  ∠3 = 115°

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Find the values of x and y. Pls helpI’m helpless at math
Svetradugi [14.3K]

Answer:

  • x = 1
  • y=\frac{\sqrt{3}}{2}  

Step-by-step explanation:

From the given right-angle triangle

The angle = ∠60°

  • The adjacent to the angle ∠60° is 1/2.
  • The opposite to the angle ∠60° is y.

The hypotenuse = x

<u>Determining the value of x:</u>

Using the trigonometric ratio

cos 60° = adjacent / hypotenuse

substituting adjacent = 1/2 and hypotenuse = x

cos\:60^{\circ }=\:\:\frac{\frac{1}{2}}{x}

\cos \left(60^{\circ \:}\right)=\frac{1}{2x}

\frac{1}{2}=\frac{1}{2x}          ∵ cos (60°) = 1/2

2x=2

Dividing both sides by 2

\frac{2x}{2}=\frac{2}{2}

Simplify

x=1

Thus, the value of hypotenuse x is:

x = 1

<u>Determining the value of y:</u>

Using the trigonometric ratio

sin 60° = opposite / hypotenuse

As we have already determined the value of hypotenuse x = 1

substituting opposite = y and hypotenuse = 1

sin 60° = y/1

y = 1 × sin 60°

y=\frac{\sqrt{3}}{2}       ∵  \sin \left(60^{\circ \:}\right)=\frac{\sqrt{3}}{2}

Therefore, the value of y is:

y=\frac{\sqrt{3}}{2}      

Summary:

  • x = 1
  • y=\frac{\sqrt{3}}{2}    
5 0
3 years ago
Help with my math plz! Giving brainlist :D
cupoosta [38]
Number six is 70 cus your adding
5 0
3 years ago
The cost to run Machine 1 for an hour is $2. During that
katen-ka-za [31]

Answer:

Math SMH

Step-by-step explanation:

8 0
3 years ago
Teddy has two pairs of black shoes and three pairs of brown shoes. He also has one pair of brown pants and three pairs of black
horsena [70]

Answer:

0.20 or 20%

Step-by-step explanation:

Brown shoes = 3

Black shoes = 2

Total shoes = 5

Brown pants = 1

Black shoes = 3

Total pants = 4

Brown socks =4

Black socks = 6

Red socks = 2

Total socks = 12

In order to choose shoes, pants and socks of the same color, Teddy can go either all black or all brown. For all black, there is a 2 in 5 chance he gets the right shoes, 3 in 4 chance for pants and 6 in 12 for socks. For all brown, there is a 3 in 5 chance he gets the right shoes, 1 in 4 chance for pants and 4 in 12 for socks.

P=P(All\ black)+P(All\ brown)\\P=\frac{2}{5}*\frac{3}{4}*\frac{6}{12}+ \frac{3}{5}*\frac{1}{4}*\frac{4}{12}\\P=0.20

The probability that he chooses shoes, pants, and socks of the same color is 0.20 or 20%.

5 0
4 years ago
Please help guys. And if u can help me with this topic farther pls message me for the ig or snap
Setler [38]

Answer:

54

Step-by-step explanation:

108 divided by 2 is 54 making the value of y 4. Hope this helps!

8 0
3 years ago
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