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svetoff [14.1K]
3 years ago
12

What is the measure of angle 1?

Mathematics
1 answer:
frozen [14]3 years ago
6 0

Answer:

Angle 1 = 90°

Reason:

Angle subtended on any point on circumference is always a right angle.

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The question was not clear for me! Help :(
Vsevolod [243]

Answer:

0.1 , 0.2 , 0.05

Step-by-step explanation:

*each column adds to 1*

20 x 1/2 = 10

1/2 x 20 x 0.1 = 1

top left box = 0.1

; 5 x 2 x 0.1 = 1

1/2 x 10 = 5

; 0.2 x 1/2 x 10 = 1

bottom middle box = 0.2

; 5 x 1 x 0.2 = 1

; 2 x 10 x 0.05 = 1

middle right box  = 0.05

; 20 x 1 x 0.05

5 0
3 years ago
Read 2 more answers
Dennis went cross country skiing for 6 hours on Saturday. He skied 20 miles uphill and then 20 miles downhill, returning to his
yulyashka [42]

Answer: Downhill:10mph   Uphill:5mph

Step-by-step explanation:  

We are looking for Dennis’s downhill speed.

Let  

r=

 Dennis’s downhill speed.

His uphill speed is  

5

miles per hour slower.

Let  

r−5=

Dennis’s uphill speed.

Enter the rates into the chart. The distance is the same in both directions,  

20

miles.

Since  

D=rt

, we solve for  

t

and get  

t=

D

r

.

We divide the distance by the rate in each row and place the expression in the time column.

Rate

×

Time

=

Distance

Downhill

r

20

r

20

Uphill

r−5

20

r−5

20

 

Write a word sentence about the time.

The total time traveled was  

6

hours.

Translate the sentence to get the equation.

20

r

+

20

r−5

=6

Solve.

20(r−5)+20(r)

40r−100

0

0

0

=

=

=

=

=

6(r)(r−5)

6

r

2

−30r

6

r

2

−70r+100

2(3

r

2

−35r+50)

2(3r−5)(r−10)

Use the Zero Product Property.

(r−10)=0

r=10

(3r−5)=0

r=

5

3

The solution  

5

3

is unreasonable because  

5

3

−5=−

10

3

and his uphill speed cannot be negative. So, Dennis's downhill speed is  

10

mph and his uphill speed is  

10−5=5

mph.

Check. Is  

10

mph a reasonable speed for biking downhill? Yes.

Downhill:

10 mph

5 mph⋅

20 miles

5 mph

=20 miles

Uphill:

10−5=5 mph

(10−5) mph⋅

20 miles

10−5 mph

=20 miles

The total time traveled was  

6

hours.

Dennis’ downhill speed was  

10

mph and his uphill speed was  

5

mph.

3 0
3 years ago
Write an algebraic expression that represents<br> the following phrase:<br> The product of 8 and 12
Ainat [17]

Answer:

8*12

Step-by-step explanation:

First, the problem asks for an expression; this means that there should be no equal sign. Also, the keyword "product" means that both the terms must be multiplied. So, 8*12 is the final expression; this equals 96.

6 0
2 years ago
The balance sheet contains these three elements of a business
Art [367]

Answer:

The balance sheet consists of three major elements: assets, liabilities and owners' equity. The object of the statement is to prove true the accounting equation, "Asset = Liabilities + Owner's Equity."

Hope this helps!! :)

8 0
3 years ago
A baker used 2 5/6 pounds of butter to make cookies. On a particular day, the baker used 8 1/2 pounds of butter to make cookies.
ddd [48]
8 1/2 / 2 5/6 

<span>17/2 / 17/6 </span>

<span>1/2 / 1/6 </span>

<span>3 </span>
3 0
3 years ago
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