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Nookie1986 [14]
3 years ago
10

Find the third angle in a triangle when the other two angles are (2a-32)° and (3a+22)°​

Mathematics
1 answer:
kati45 [8]3 years ago
6 0

Answer:

(190-5a)°

Step-by-step explanation:

Sum of internal angles of a triangle equals to 180°

If the third angle is x, then we have:

  • (2a-32)°+(3a+22)° +x = 180°
  • (5a- 10)° +x= 180°
  • x= (180+10-5a)°
  • x= (190-5a)°

The third angle is: (190-5a)°

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A country's population in 1991 was 136 million. In 2000 it was 141 million. Estimate the population in 2016 using the exponentia
xeze [42]
Answer: The population will be about 150 million in the year 2016.

First, let's start by using the given equation. Fill in the values that you know and solve for the missing piece.

Our equation is:

141 = 136e^(9k)    I used 9 because 2000 is 9 years past 1991.

(141/136) = e^9k   Divide both sides by 136

ln (141/138) = 9k    Take the natural log of both sides, the e is removed.

0.004 = k    Find the natural log of 141/136 and divide it by 9.

Now, we have a new equation. Just plug in 25 for x and you will get 150. We used 26 because 2016 is 25 years past the starting year of 1991.
5 0
3 years ago
Evaluate 10b + 3c, if b=3 and c = 11.
kozerog [31]

Answer:

63

Step-by-step explanation:

10 × 3 = 30

3× 11 = 33

30 + 33 = 63

4 0
3 years ago
Angle ABC is congruent to
Vesna [10]

Answer:

In words, if the hypotenuse and a leg of one right triangle are congruent to the hypotenuse and a leg of a second right triangle, then the triangles are congruent. If in triangles ABC and DEF, angle A = angle D = right angle, AB = DE (leg), and BC = EF (hypotenuse), then triangle ABC is congruent to triangle DEF.

6 0
3 years ago
Which statement is true?
Veronika [31]
B. is true. 15·(–5) > 23·(–12).
15·(-5)=-75.
23·(-12)=-276.

-75 > -276
7 0
3 years ago
Read 2 more answers
If a property sold for $350,000,what total commission would the seller pay at 6%?
ipn [44]
350000/100=x/6
100x=2100000
x=21000

Total commission will be $21000
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