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irakobra [83]
2 years ago
12

Help please im pretty sure this is called angle sum theory but I could be wrong

Mathematics
2 answers:
DENIUS [597]2 years ago
6 0

<u>y = 25</u>

Step-by-step explanation:

<u>=> 115 = y + 90 {exterior angle of triangle is equal to the sum of its opposite two interior angles}</u>

<u>=> 115 = y + 90 </u>

<u>=> 115-90 =y</u>

<u>=> 115 = y + 90</u>

<u>=> 115-90 =</u><u>y</u>

<u>=> y = 25</u>

Alexxandr [17]2 years ago
6 0

Answer:

x= 180°-115°

= 65° ( adjacent angles in a straight line)

y= 180°-90°-65°

= 25° ( angle sum of a triangle)

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A

Step-by-step explanation:

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3 years ago
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Step-by-step explanation:


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denis-greek [22]

1. 2x-4x

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6 0
3 years ago
The center of a circle is at (2, −5) and its radius is 12.
stiv31 [10]

Answer:

The equation of the circle is (x - 2)² + (y + 5)² = 144 ⇒ A

Step-by-step explanation:

The form of the equation of the circle is (x - h)² + (y - k)² = r², where

  • r is the radius of the circle
  • h, k are the coordinates of the center of the circle

Let us solve the question

∵ The center of the circle is at (2, -5)

→ From the rule above

∴ h = 2 and k = -5

∵ The radius of the circle is 12

∴ r = 12

→ Substitute the values of r, h, and k in the form of the equation above

∵ (x - 2)² + (y - -5)² = (12)²

∴ (x - 2)² + (y + 5)² = 144

∴ The equation of the circle is (x - 2)² + (y + 5)² = 144

7 0
3 years ago
A man drove his car at 80km per hr for 1 and a quarter hrs .He rested for 45mins and then covered 240km, at the same time. Calcu
prisoha [69]

Answer:

Probably 128 km/h, but maybe 98.5 km/h. See below.

Step-by-step explanation:

What does "at the same time" mean?

If it means that he covered the 240 km in the same time as he convered the 80 km, then this is how you solve it:

80 km in 1.25 hour

240 km in 1.25 hour

Total distance: 80 km + 240 km = 320 km

Total time: 1.25 hour + 1.25 hour = 2.5 hour

average speed = (total distance)/(total time) = 320 km / 2.5 hour = 128 km/h

If it means he covered the 240 km in the same time he covered the 80 km plus the rest, then this is how you solve it:

80 km in 1.25 hour

240 km in 1.25 hour + 45 min = 240 km in 1.25 houir + 0.75 hour = 240 km in 2 hour

Total distance: 80 km + 240 km = 320 km

Total time: 1.25 hour + 2 hour = 3.25 hour

average speed = (total distance)/(total time) = 320 km / 3.25 hour = 98.5 km/h

3 0
2 years ago
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