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ELEN [110]
2 years ago
11

A side of the triangle below has been extended to form an exterior angle of 66°. Find

Mathematics
1 answer:
Rainbow [258]2 years ago
4 0

Step-by-step explanation:

By Exterior Angle Theorem, the sum of the 2 inner angles in the triangle will be equal to the exterior angle.

=> x + 48° = 66°, x = 18°.

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A city that had 40,000 trees started losing them at a rate of 10 percent per year because of urbanization.
goblinko [34]

Answer:

t = 13.1576  years

Step-by-step explanation:

The situation can be modeled as

P = Po.(1-r)^t

Where

t is the years transcurred

Po is the initial amount

r is the rate of change

Po = 40000

r = 10% equivalent to 0.1

Now

A quarter of the original amount

(1/4)*Po = Po.(1-r)^t

(1/4) = (0.9)^t

t = 13.1576

Please, see attached picture

7 0
3 years ago
What's bigger 8/15 or 11/20 (fractions)
Sergeu [11.5K]
To find what's bigger, you must make it common

8/15=32/50
11/20=33/60

11/20 is bigger.
6 0
3 years ago
On a farm there was a cow. And on the farm there were 2 sheep. There were also 3 chickens. What is the total mass of the 1 cow,
RoseWind [281]

The total mass of the living things on the farm is 588 kg.

<h2><u>Mass calculation</u></h2>

Since on a farm there was a cow, 2 sheep and 3 chickens, to determine what is the total mass of the 1 cow, the 2 sheep, the 3 chickens, and the 1 farmer on the farm, the following calculation must be performed :

  • (6.2 x 10) + (4 x 10 x 10) + (2 x 6 x 10) + (3 x 2 x 1) = X
  • 62 + 400 + 120 + 6 = X
  • 588 = X

Therefore, the total mass of the living things on the farm is 588 kg.

Learn more about mass calculation in brainly.com/question/14695611

8 0
2 years ago
12. Find three consecutive even integers such that
borishaifa [10]

Answer:

10, 11, 12

Step-by-step explanation:

Hi there!

Let <em>x</em> be equal to the smallest integer.

Let <em>x</em>+1 and <em>x</em>+2 be equal to the consecutive integers.

We're given that:

⇒ smallest integer + 2 × middle integer = 20 + largest integer

Construct an equation:

(x)+2(x+1)=20+(x+2)

Combine like terms:

(x)+2(x+1)=20+(x+2)\\x+2x+2=20+x+2\\3x+2=22+x\\2x=20\\x=10

Therefore, the smallest integer is 10.

This makes the consecutive integers 11 and 12.

I hope this helps!

6 0
2 years ago
(QUICK QUESTION) If you have 18 credits In the 12th grade Is it possible to get 23 by June 2019?? In one semester
azamat

Its all up to you and how hard you are willing to work to get that may credits in one semester. But you could do it. Hope that helped!

3 0
3 years ago
Read 2 more answers
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