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Delicious77 [7]
2 years ago
14

Find the measure of the missing ANGLE.

Mathematics
1 answer:
Valentin [98]2 years ago
6 0

Answer:

83°

Step-by-step explanation:

? = (1/2)[m(arc)DE + m(arc)RF]

? = (1/2)[106° + 60°]

? = 83°

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If we are given x such that 25^x-9^y=18 and 5^x-3^y=3, compute 5^x+3^y.
leonid [27]

25 = 5*5 and 9 = 3*3, which we can exploit to write

25^x-9^y=(5^2)^x-(3^2)^y=5^{2x}-3^{2y}=(5^x)^2-(3^y)^2

so that this expression is actually a difference of squares. We can factorize this to get

(5^x-3^y)(5^x+3^y)=18

and given that 5^x-3^y=3, we divide both sides by this to get

5^x+3^y=\dfrac{18}3=\boxed{6}

7 0
2 years ago
Write the equation of the line in slope-intercept form using y=mx+b​
SIZIF [17.4K]
Equation answer: y= 1/4x
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3 years ago
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. Ms. Johnson owns a cabinet business that installs cabinets in kitchens. Her employees can install 2/3 of a
AnnZ [28]

Answer:

10/3 of a kitchen cabinet

Step-by-step explanation:

To make a full hour, 1/5 would be multiplied by 5- and so would their progress.

2/3 * 5 = 10/3, which is also an improper fraction.

8 0
2 years ago
Byron can fill a drying rack with dishes in 15 minutes. While Byron fills the drying rack, Emmitt takes dishes out of the drying
Olegator [25]

Answer:

Hi!

The correct answer is d) 1 over 15 minus 1 over x equals x over 35.

Step-by-step explanation:

We know the amount of time that Byron can fill a drying rack with dishes: 15 minutes.

We know the amount of time that Byron can fill a drying rack with dishes while Emmitt is taking dishes out of the drying rack: 35 minutes.

We don't know the amount of time that Emmitt can take dishes out of the drying rack: x minutes.

So, if Byron is filling the drying rack in 15 minutes and Emmitt is taking out the dishes at x minutes, it takes 35 minutes to fill the drying rack.

\frac{1}{15}-\frac{1}{x} = \frac{1}{35} <em>// multiply by 105x both sides.</em>

105x\frac{1}{15}-105x\frac{1}{x} =105x \frac{1}{35} <em>// simplifly</em>

7x - 105 = 3x<em> //substract 3x and add 105 in both sides</em>

7x - 3x - 105 + 105 = 3x - 3x + 105 <em>// solve</em>

4x =  105 <em>//</em> <em>divide by 4 in both sides</em>

\frac{4x}{4} =  \frac{105}{4} <em>// solve</em>

x =  26.25

It makes sense that Byron fills the rack faster than Emmitt empties the rack.

7 0
2 years ago
Proof diagram given angle 1 is equal to angle 5 true line p is parallel to line r
beks73 [17]

a. vertical angles are congruent

b. congruence of angles is transitive

c. if two lines are cut by a transversal such that alternate interior angles are congruent, then the lines are parallel


4 0
3 years ago
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