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topjm [15]
3 years ago
8

USLUIT il Find x. 45° 30°

Mathematics
1 answer:
IceJOKER [234]3 years ago
7 0

Answer:

111°

Step-by-step explanation:

  • All these are parallel lines, so the 36° angle is equal to the 36° angle inside the big triangle because they are vertically opposite.

  • Ignore the line cutting between 45° and the 30° and consider it as one triangle
  • Add them to get 75°
  • Now you have two known angles 75° and 36°
  • To get angle <em>x</em><em> </em>add 75° and 36° to get 111°
  • Because x° is an exterior angle and exterior angles equal to the sum of interior angles opposite it inside the triangle.
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Todd plans to swim 18 laps in the pool each lap is 50 yards so far Todd has swam 738 yards what percentage of the total has Todd
poizon [28]

Answer:

Step-by-step explanation:

82%

8 0
3 years ago
Use the graph to estimate the height of a jugglers ball that has been in the air for 1.5 seconds
strojnjashka [21]

Answer:

The height of a jugglers ball that has been in the air for 1.5 seconds is 6.5 feet

Step-by-step explanation:

we are given height equation as

h=-16t^2+25t+5

where

h is the height in feet of a Juggler's ball after t seconds

now, we can plug t=1.5

h=-16(1.5)^2+25(1.5)+5

we can solve for h

h=42.5-16\cdot \:1.5^2

h=42.5-36

h=6.5

So,

The height of a jugglers ball that has been in the air for 1.5 seconds is 6.5 feet

5 0
3 years ago
Separate the x- and y-values with a comma.<br> X=-3+y<br> 26x - 5y = 6
labwork [276]

Answer:

The solution of the given system is (x,y) = (1,4)

Step-by-step explanation:

Here, the given system of equation is:

x  = -3 + y

26 x - 5 y =  6

Now, substitute x  = -3 + y in the second equation , we get

26 x - 5 y =  6  ⇒   26 (-3 + y) - 5 y =  6

or, 26(-3)  + 26(y)  - 5y = 6

⇒ - 78 + 26 y - 5y = 6

⇒   21 y =  84

⇒  y = 84 / 21 = 4   or ,   y =  4

So x  = -3 + y  =  -3 + 4 = 1

Hence, the solution of the given system is (x,y) = (1,4)

5 0
3 years ago
Joseph and Isabelle left Omyra’s house at the same time. Joseph jogged north at 8 kilometers per hour, while Isabelle rode her b
insens350 [35]

For this case the distance will be given by:

d ^ 2 = (12 * 1.5) ^ 2 + (8 * 1.5) ^ 2

Rewriting we have:

d ^ 2 = (18) ^ 2 + (12) ^ 2

d ^ 2 = 324 + 144

d ^ 2 = 468

d = root (468)

d = 21.63 Km

Answer:

1) She did not find the full distance each traveled in 1.5 hours.

2) She should have used 12 km for Joseph's distance and 18 km for Isabelle's distance.

4 0
3 years ago
A person earns $43200.00 one year and receives an 8% raise in salary. what is the new salary?
inysia [295]
46,656. 43,200 x 1.08
5 0
3 years ago
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