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My name is Ann [436]
3 years ago
14

Tony likes to run during his free time. He runs a pace of 5.5 minutes per mile. On Saturday, Tony started running at 8:30am and

ran for an hour and half before taking a break by watching the river for a quarter of an hour. He then continued to run for another hour and called it a day. Accurately graph out Tony’s run by using time and miles as the variables
Mathematics
1 answer:
timofeeve [1]3 years ago
6 0

Answer:

Step-by-step explanation:

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Find the missing angles for every point here
dimulka [17.4K]

In order to find the missing angles, we can see that vertically opposite angles and corresponding angles are equal.

46° + 82° + No. 4 = 180°

No. 4 = 180° - 128° = 52°

Therefore: No. 4 = No. 1 = 52° (vertically opposite angles)

<h3>What is angle?</h3>

In geometry, an angle is actually known to be the figure that is created by two rays that actually meet at an end point that is common to the both rays. It is represented by the symbol: ∠.

So, we can see that:

Line a || Line b and Line c || Line d

46° = 7 (corresponding angles)

So, 46° + 82° + No. 4 = 180°

Thus, No. 4 = 180° - 128° = 52°

Therefore:

No. 4 = No. 1 = 52° (vertically opposite angles)

No. 2 = 180° - 52° = 128° (angles on a straight line)

No. 2 = No. 3 = 128° (vertically opposite angles)

No. 7 = No. 6 = 46° (vertically opposite angles)

No. 8 = 180° - 46° = 134° (angles on a straight line)

No. 8 = No. 5 = 134° (vertically opposite angles).

82° = No. 11 (vertically opposite angles)

No. 9 = 180° - 82° = 98° (angles on a straight line)

No. 9 = No. 10 = 98° (vertically opposite angles)

No. 9 = No. 15 = 98° (alternate angles)

No. 13 = No. 15 = 98° (vertically opposite angles)

No. 12 = No. 14 = 82° (vertically opposite angles)

46°= No. 17 (vertically opposite angles)

No. 18 = 180° - 46° = 134° (angles at a point)

No. 18 = No. 16 = 134° (vertically opposite angles)

No. 19 = 180° - (46° + 82°) = 52° (sum of angles in a triangle)

No. 19 = No. 22 = 52° (vertically opposite angles)

No. 20 = 180° - 52° = 128° (angles on a straight line).

No. 20 = No. 21 = 128° (vertically opposite angles)

No. 25 = No. 2 = 128° (corresponding angles)

No. 25 = No. 24 = 128° (vertically opposite angles)

No. 23 = No. 26° (vertically opposite angles).

So, all the angles are:

1= 52°

2= 128°

3= 128°

4= 52°

5= 134°

6= 46°

7= 46°

8=134°

9= 98°

10= 98°

11= 82°

12= 82°

13= 98°

14= 82°

15= 98°

16= 134°

17= 46°

18= 134°

19= 52°

20= 128°

21= 128°

22= 52°

23= 52°

24= 128°

25= 128°

26= 52°

Learn more about angles on brainly.com/question/26167358

3 0
2 years ago
Find the slope of the line and sketch the graph.<br><br> 3x + 4y = 25<br> (dont worry abt sketching)
polet [3.4K]
The slope is -3/4 .
Here’s the graph

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3 years ago
Can someone help me out
GalinKa [24]
Elaine's, line up your decimal and add zeros.
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3 years ago
6x^+4(x^-1) simply this question
Nadusha1986 [10]
1. when you see 4(x² - 1), then you have to multiply 4 with everything in the bracket. keep in mind that you always have to be cautious of the sign whether it is a positive or a negative.

positive ×/÷ positive = positive
negative ×/÷ negative = positive
positive ×/÷ negative = negative
negative ×/÷ positive = negative

^ you have to remember this.

2. only like terms (same alphabet) can plus or minus each other.

3. simplify by taking out the common factor and placing it outside the bracket.

6 0
3 years ago
Karrine hit 4 more home runs than half the number of home runs Lu hit. Together they hit 10 home runs. Let x represent the numbe
Andreas93 [3]

Answer:

The number of home runs that Lu hit is 4 and the number of home runs that Karrine hit is 6

Step-by-step explanation:

Let

x ----> represent the number of home runs Lu hit

y ---> represent the number of home runs Karrine hit

we know that

Together they hit 10 home runs

so

x+y=10 ----> equation A

Karrine hit 4 more home runs than half the number of home runs Lu hit

so

y=\frac{1}{2}x+4 ---> equation B

substitute equation B in equation A

x+\frac{1}{2}x+4=10

solve for x

\frac{3}{2}x=10-4

\frac{3}{2}x=6\\x=4

Find the value of y

y=\frac{1}{2}(4)+4=6

therefore

The number of home runs that Lu hit is 4 and the number of home runs that Karrine hit is 6

5 0
3 years ago
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