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mart [117]
3 years ago
6

6. State the absolute maximum using the correct notation. Start answer with abs max: Please do not put any spaces in answer.​

Mathematics
2 answers:
Montano1993 [528]3 years ago
5 0

Answer:3.5:80

Step-by-step explanation:

common sense

Maru [420]3 years ago
3 0
The answer answer answer 3.5:80
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ABCD is a rectangle. The measure of angle BCE is 4x-23 and the angle measure of angle DCE is 5+5x. Find the measure of angle BEC
Temka [501]
<h2>Explanation:</h2><h2></h2>

The diagram for this problem is shown below. Point E is the intersection of the two diagonals and we know that:

\angle BCE=\beta \\ \\ \angle DCE=\theta

Every internal angle of any rectangle measures 90 degrees, so:

\beta +\alpha=90 \\ \\ (4x-23)+(5+5x)=90 \\ \\ \\ Isolating \ x: \\ \\ (4x+5x)+(5-23)=90 \\ \\ 9x-18=90 \\ \\ 9x=108 \\ \\ x=\frac{108}{9}=12

So:

\beta=4x-23=4(12)-23=25^{\circ}

So the measure of angle BEC can be found as follows:

We know that triangle ΔCEB is an isosceles triangle because the diagonals of any rectangle measure the same. So

\angle EBC=\beta

The sum of internal angles of any triangle add up to 180 degrees, so:

\beta + \beta+\angle BEC=180^{\circ} \\ \\ 2\beta+\angle BEC=180^{\circ} \\ \\ \angle BEC=180^{\circ}-2\beta \\ \\ \angle BEC=180^{\circ}-2(25^{\circ}) \\ \\ \angle BEC=180^{\circ}-50^{\circ} \\ \\ \boxed{\angle BEC=130^{\circ}}}

7 0
3 years ago
Verify and name the property: a x ( b x c ) = ( a x b ) x c <br> for a = (−) , b = (−) , c =
Lilit [14]

Answer:

Associative property under multiplication.

5 0
2 years ago
Read 2 more answers
The fastest race horse ran 1/4 mile in 1/3 of a minute. What was the horse's running speed?
bagirrra123 [75]

Answer:

3/4 miles per minute

Step-by-step explanation:

To get speed in miles per minute, just divide distance/time

1/4 mile / 1/3 minute = 3/4 miles per minute

If you want miles per hour, you'll have to convert minutes to hours.

3/4 miles/minute * 60 minutes/hour = 45 miles/hour

6 0
2 years ago
At Alan's auto shop, it takes him minutes to do an oil change and minutes to do a tire change. Let be the number of oil changes
kirill [66]

Complete question :

At Alan's auto shop, it takes him 9 minutes to do an oil change and 12 minutes to do a tire change. Let x be the number of oil changes he does. Let y be the number of tire changes he does. Using the values and variables given, write an inequality describing how many oil changes and tire changes Alan can do in less than an hour ( minutes).

Answer:

9x + 12y < 120

Step-by-step explanation:

Given that:

Time taken for oil change = 9 minutes

Time taken for tire change = 12 minutes

x = number of oil changes ; y = number of tire changes

Total hours = 1 hour = 60 minutes

Number of oil and Tyre changes possible in less than an hour

(Number of oil changes * time taken) + (number of tire changes * time taken) less than 60 minutes

9x + 12y < 120

8 0
3 years ago
Read 2 more answers
Date
Nitella [24]

Answer:

perimeter =22m

area=28square meter

perimeter of rectangle=4l

22m=4l

22÷4=l

5.5=l

l=5.5m

area of rectangle =l×b

28=5.5×b

28÷5.5=b

5.09=b

b=5.09m

length =5.5m and breadth =5.09m answer !!!!

7 0
2 years ago
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