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Yuki888 [10]
3 years ago
6

Please help will mark brainliest for the right answer

Mathematics
1 answer:
hodyreva [135]3 years ago
4 0

Answer:

a).  x + y + 90° = 180°

b).  x = 67°

    y = 23°

Step-by-step explanation:

The sum of all angles in a triangle is 180°.

One of the angles in the figure is a right angle, or 90°.  Therefore the sum of the three angles in the figure is:

x + y + 90 = 180

We are also told that x + 2 = 3y.  

Rearranging that to isolate x gives us:  

x = 3y - 2

Thake the first equation and substitute the above expression of in place of x:

x + y + 90° = 180°

(3y-2) + y + 90° = 180°

4y + 88° = 180°

4 y = 92°

y = 23°

To find angle x, use y = 23°

x = 3y - 2

x = 3*(23°) - 2

x = 67°

The sum 90° + 67° + 23° = 180°

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Jack says 0.90 is between 0.9 and 0.91. Is he correct? Explain.
OleMash [197]
Well, 0.90 is actually equal to 0.9. It is less than 0.91 and equal to 0.9 so that means it is not correct. 

I hope this helps:)
3 0
3 years ago
Boris currently has a savings account. He saves $25 per month.
BabaBlast [244]

Answer:

Boris will have $250 in 10 months.

Step-by-step explanation:

$25 = one month.

$250= ?months

To find ?, the months we divide 250 by 25 to get this:

250 ÷ 25 = 10

10 months is the amount of time Boris will have to wait until he saves up $250.

Hope this helps you! Good luck with your quiz! :)

7 0
3 years ago
To which set of numbers does the number –5 belong? Select all that apply. integers natural numbers rational numbers real numbers
Volgvan

Answer:

Integers, and rational numbers

Step-by-step explanation:

Integers are any positive or negative whole numbers

Rational numbers are any positive or negative numbers

Whole numbers are any positive whole numbers

Real numbers are any positive whole numbers but doesn’t include 0

8 0
3 years ago
Read 2 more answers
A miners' cage of mass 420 kg contains 3 miners of total mass 280 kg. The cage
svp [43]

Answer:

5817 Newtons.

Step-by-step explanation:

Total mass of the cage + the miners = 700 Kg which is a downward force of  700g N.

The net downward force = 700g - T where T is the tension (force) in the cable. The g = acceleration due to gravity = 9.81 m s-2.

We  calculate the  acceleration of the cage by using an equation of motion:

Distance = ut + 1/2 a t^2     where u = initial velocity , t = time and a = acceleration:

75 = 0(t) + 1/2 a (10^2)

50a =  75

a = 1.5 m s-2.

So using Newtons second law of motion

Force = mass * acceleration:

700*9.81 - T = 700 * 1.5

T = 700 * 9.81 - 700*1.5

= 5817 N.

8 0
4 years ago
530 : 34 =?<br> Write your answer as a whole number and remainder.
Scorpion4ik [409]
168 and 7 as remainder
3 0
3 years ago
Read 2 more answers
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