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guapka [62]
4 years ago
8

In rectangle ABCD, the angle bisector of ∠A intersects side DC at point M and the angle bisector of ∠C intersects side AB at poi

nt N. The length of CM is equal to the length of AM and it is 6 in longer than the length of DM. Find the perimeter of quadrilateral ANCM.

Mathematics
1 answer:
Verizon [17]4 years ago
7 0
Perimeter of quadrilateral ANCM = AN+NC+CM+MA

CM=AM = x in
Therefore, AN=NC = x in
In other words, all sides of the new quadrilateral are equal.

Perimeter (P) = 4x in

Now, Cos 45 = (x-6)/x =>0.7041 = (x-6)/x => 0.7041x=x-6 =>x= 6/(1-0.70741)
x= 20.5 in

Therefore, P=4*20.5 = 82 in

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Answer: Perpendicular bisector and angle bisector are similar in its construction because we use ruler and compass. The difference is the output of each construction.


An angle bisector is a line that bisects and angle into two angles of equal measure.


A perpendicular bisector is a line that bisects another line and produces a right angle or an angle that measures 90 degrees.


Step-by-step explanation: Do i Get Brainliest


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3 years ago
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State all integer values of x in the interval (2,8) that satisfy the following inequality:
lidiya [134]

Answer:

3,4,5,6 and 7

Step-by-step explanation:

Given

5x + 4 \ge 19

Required

State the values of x within 2 and 8

5x + 4 \ge 19

Collect Like Terms

5x \ge 19 - 4

5x \ge 15

Divide both sides by 5

\frac{5x}{5} \ge \frac{15}{5}

x \ge 3

(2,8) is an open interval which means that 2 and 8 are not inclusive of the values of x.

So:

The values of x \ge 3 are: 3,4,5,6 and 7

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Answer:

If a shirt is on sale for 50% off, and you have another offer that gives you an "additional 20% off the sale price", does that mean you get a total of 70% off? Not usually. If the shirt was $20, then the SALE price would be $10 and the additional 20% would apply to the SALE price of $10 instead of the original price of $20. This isn't too bad when the sales are nice even percentages, but when it gets more complicated, you can use this calculator to find out the final cost (sales tax not included).Step-by-step explanation:

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Please help..I dont get this and please Dont put a Link below please.
lianna [129]

Answer:

x = 27, y = 74

Step-by-step explanation:

Hi again :)

Since the angles of 5x + 4 and the one adjacent to x = 14 are corresponding angles, they are equal. That means that (5x + 4) + (x + 14) = 180 degrees.

5x + 4 + x + 14 = 180

6x + 18 = 180

6x = 162

x = 27

Also, the angle (5x + 4) and (2y - 9) are vertical angles, they are equal in value. We know the value of x now, so we'll substitute that in and solve for y.

5(27) + 4 = 2y - 9

135 + 4 = 2y - 9

139 = 2y - 9

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As always, lmk if you have questions.

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