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rusak2 [61]
3 years ago
15

Use exterior angle of triangle theorem to find the missing measure of an angle in a polygon. ​

Mathematics
2 answers:
Kobotan [32]3 years ago
6 0

Answer:

\boxed{x=60}

Step-by-step explanation:

The exterior angle theorem states that the exterior angle of a triangle is equal to the sum of the two opposite interior angles of the triangle.

130=70+x

Subtract 70 from both sides.

130-70=70+x-70

60=x

Drupady [299]3 years ago
5 0

Answer:

x = 60°

Step-by-step explanation:

Exterior angle is equal to the  sum of opposite interior angles

x + 70 = 130

Subtract 70 from both sides

x = 130 - 70

x = 60°

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last year a business had profits of $8000 this year it will have 5 times as great what are this yours profits
mestny [16]

We have been given that last year, the business had profit of $8000.

Further, we are given that, the profit for this year will be 5 times as great the profit of last year. So, in order to find profit of current year, we will have to consider 5 times of $8000.

Therefore, we get the profit for current year as:

\text{Profit for current year}=5\cdot8000\\\text{Profit for current year}=\$40,000

Therefore, profit for current year would be 40,000 dollars.

7 0
3 years ago
F (x) = 1/2x+3 what is the value of x when f(x) = 6
trapecia [35]

Answer:

Step-by-step explanation:

1/2x + 3 = 6

1/2x = 3

x = 6

3 0
3 years ago
A​ boat's crew rowed 33kilometers​ downstream, with the​ current, in 3hours. The return trip​ upstream, against the​ current, co
algol [13]

Answer:

The crew rowing rate in still water = 7km/hr

The rate of the current = 4km/hr

Step-by-step explanation:

The distance rowed downstream with the current = 33km

Time taken to row downstream = 3hrs

The distance rowed upstream against the current = 33km

Time taken to row upstream = 11hrs

Let the crew's rowing rate in still water = Xkm/hr

Let the rate of current = Ykm/hr

For the downstream movement, we will have (X+Y). This is because the boat rowed with the current

For the upstream movement, we will have (X-Y). This is because the boat rowed against the current

Downstream Speed = distance /time

= 33/3

= 11km

Upstream speed = distance /time

= 33/11

= 3km

Hence X+Y = 11 and X-Y= 3

Add both equations. We have

X+Y+X-Y = 11 + 3

2X = 14

X= 14/2

X= 7

put X= 7 in any of the equations

7-Y= 3

Y= 7-3

Y= 4

Hence the crew rowing rate in still water = 7km/hr and the rate of the current = 4km/hr

6 0
3 years ago
Based on the following rule for translations, how will the preimage translate to get the image? (x,y) = (x, y - 3) *​
mr_godi [17]
The preimage will be translated down by 3 units.
8 0
3 years ago
Okay so if f(n)=-6n+3 <br> What does f(2)=
madreJ [45]

Answer:

f(2)=-9

Step-by-step explanation:

if u substitute 2 into n then -6(2)+3 = -9

6 0
3 years ago
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