21 is a supplement of 22, and mZ1 = 123°. Z2 is a complement of 23. Find m23.
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mZ3 =
21 is a supplement of 22, and mZ1 = 123°. - 1

Answers

Answer 1
Answer: Measure of angle 3 should be 33! 180-123=57. Then 90-57=33

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Jen ran 9 miles in 117 minutes , if her speed remained the same throughout the run , what was her pace?

Answers

Jen's pace is approximately 13 minutes per mile.

To calculate Jen's pace, we need to determine the time it took her to run 1 mile.

Jen ran 9 miles in 117 minutes, so we divide the total time by the number of miles:

Pace = Total time / Number of miles

Pace = 117 minutes / 9 miles

To simplify the pace, we can convert 117 minutes into hours by dividing it by 60:

Pace = (117 minutes / 60) hours / 9 miles

Pace ≈ 1.95 hours / 9 miles

Now, to find the pace in minutes per mile, we can convert 1.95 hours to minutes by multiplying it by 60:

Pace ≈ (1.95 hours × 60) minutes / 9 miles

Pace ≈ 117 minutes / 9 miles

Therefore, Jen's pace is approximately 13 minutes per mile.

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117 ÷ 9 = 13

Hope this helps!

A recipe used 3/4 cup of butter for every 1 2/3 cup of flour. What is the unit rate of cups of butter per cup of flour? *​

Answers

Answer:1/6

Step-by-step explanation:

The race begins at a rate of 1.5 meters per second. what distance, d, is covered after, t, seconds

Answers

The required distance after time t is given as 1.5t.

Given that,
Speed in the race is given as  1.5 meters per second, to determine distance, d, is covered after, t, seconds.

What is Distance?

Distance is defined as the object traveling at a particular speed in time from one point to another.

What is speed?

Speed is defined as when an object is subjected to movement, the distance covered by the object in a certain time interval is the speed of that object.

Here,
Speed = 1.5 m/s
Distance = speed × time
Distance = 1.5 × t
Distance(d) = 1.5t

Thus, the required distance after time t is given as 1.5t.

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Well if 1.5 m is covered in 1 second, the distance would be calculated as d=1.5t.

Evaluate the function w/o using a calculator! calculate
cos(135)
and then take the reciprocal

Answers

In your question where ask to evaluate the function using calculator and then take its reciprocal and the function is cos(135). Base on my calculation and through step by step procedure and with the guidance of the theories and by the use of formulas, I came up with an answer - sqrt of 2

Angle ADB Is 3 Times Larger Than Angle BDC Mangle ADB= 。 _ Mangle BDC= 。 _ D

Answers

This is your answer. Thanks!

Final answer:

Angle ADB is 3 times larger than angle BDC. By assigning a variable to BDC, an equation can be formed to find the values of both angles. BDC is 45 degrees and ADB is 135 degrees.

Explanation:

The given problem states that angle ADB is 3 times larger than angle BDC. Let's assign a variable to angle BDC, such as x degrees. Since angle ADB is 3 times larger, it would be 3x degrees. The sum of angle ADB and angle BDC is equal to 180 degrees, as they form a straight line.

Therefore, we can write the equation 3x + x = 180 to represent the sum of the angles.

Simplifying the equation, we get 4x = 180. Dividing both sides by 4, we find that x = 45 degrees. Hence, angle BDC is 45 degrees and angle ADB is 3 times larger, resulting in 3 * 45 = 135 degrees.

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394.6 divided by 9 using compatible numbers to estimate the quotient?

Answers

394.6 / 9 = 43.84

Compatible numbers:

400 / 10 = 40

Compatible numbers are numbers that can quickly be solved mentally. The quotient would only be an estimate since we only rounded the number to the nearest compatible number.

394.6 is nearer to 400 while 9 is closer to 10. Both numbers 400 and 10 are compatible because they can be solved quickly doing mental calculations.