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dsp73
3 years ago
14

What is the measure of DCF?

Mathematics
2 answers:
Margarita [4]3 years ago
4 0

angle DCF = angle DCE + angle ECF

angle DCF = 75° + 54°

angle DCF = 129°

RSB [31]3 years ago
3 0
I got 129 degrees hope this helps.
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Solve these equations.<br> |x-7|=x-7
Cloud [144]

Answer:

x ≥ 7

Step-by-step explanation:

|x - 7| = x - 7

A. For each absolute, find the intervals

x - 7 ≥ 0     x - 7 < 0

     x ≥ 7           x < 7

If x ≥ 7, |x - 7| = x - 7 > 0.

If x < 7, |x - 7| = x - 7 < 0. No solution.

B. Solve for x < 7

Rewrite |x - 7| = x - 7 as

+(x - 7) = x - 7

      x - 7 = x - 7

-x + 14 = x

        14 = 2x

          x = 7

7 ≮7. No solution

C. Solve for x ≥ 7

Rewrite |x - 7| = x - 7 as

+(x - 7) = x - 7

      x - 7 = x - 7

True for all x.

D. Merge overlapping intervals

No solution or x ≥ 7

⇒ x ≥ 7

The diagram below shows that the graphs of y = |x - 7| (blue) and of y = x - 7 (dashed red) coincide only when x ≥ 7.

6 0
3 years ago
How many milliequivalents of sodium chloride are contained with 3 L of normal saline?
AVprozaik [17]

Answer:

466mEq

Step-by-step explanation:

First, we need to know the concentration of NaCl in a normal saline solution, this is by definition 0.9%, meaning we have 0.9g of NaCl per 100ml of solution, we want to know how much NaCl we have in 3L (3000ml):

3000ml*\frac{0.9g}{100ml}=27g=27000mg

So, we have 27000mg in 3L of normal saline solution.

Now, acording to our milliequivalent (mEq) equation (mEq=\frac{mg}{pE}) where pE is de molecular mass of NaCl divided by their charges, in this case 1:

pE= \frac{23+35}{1}=\frac{58}{1} = 58

Finally we substitute in the mEq formula:

mEq=\frac{mg}{pE}=\frac{27000}{58}=466mEq

I hope you find this information useful! Good luck!

4 0
3 years ago
Fred borrows $2710 at 3.8% simple interest per month. When Fred pays the loan back 3 months later, what is the total amount that
Fantom [35]

Step-by-step explanation:

Simple interest =P (1+. R )^n

/100

Where P is the amount

R is rate (%)

n is number of years

So if you are given months your divide ➗ the number of months by 12 years

2710 *(1+ [ 3.8/100])^3/12

5 0
3 years ago
Jen picked 3/4 of a gallon of strawberries in a half an hour.If she keeps picking strawberries at the same rate, how many gallon
sp2606 [1]

Answer:

3 gallons.

Step-by-step explanation:

We have been given that Jen picked 3/4 of a gallon of strawberries in a half an hour.

Let us convert our given time in minutes.

1 hour= 60 minutes.

1/2 hour= 30 minutes.

So 2 hours= 120 minutes.

Let us find the number of gallons of strawberries picked by Jen in 30 minutes by dividing 3/4 by 30.

\text{The number of gallons of strawberries picked by Jen in 30 minutes}=\frac{\frac{3}{4} }{30}

\text{The number of gallons of strawberries picked by Jen in 30 minutes}=\frac{3}{4*30}

\text{The number of gallons of strawberries picked by Jen in 30 minutes}=\frac{1}{40}

Now let us multiply 1/40 by 120 to find the number of gallons of strawberries picked by Jen in 120 minutes(2 hours).

\text{The number of gallons of strawberries picked by Jen in 30 minutes}=120*\frac{1}{40}

\text{The number of gallons of strawberries picked by Jen in 30 minutes}=3

Therefore, Jen picked 3 gallons of strawberries in 2 hours.

8 0
3 years ago
Use this rule to fill in the table.<br> Rule: Subtract 6 from the input to get the output.
uranmaximum [27]

Answer:

1= 1

2=11

3=7

Step-by-step explanation:

subtract 6 from the input so

7-6=1

11-6=5 so input 11

13-6=7

7 0
3 years ago
Read 2 more answers
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