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makvit [3.9K]
3 years ago
8

It is known that Ray AP bisects angle CAT. If m<CAT = 5x+17 and m<PAT = 3x-4, then determine the value of x.​

Mathematics
1 answer:
Sonja [21]3 years ago
8 0

Answer:

x = 25

Step-by-step explanation:

It is given that, ray Ray AP bisects angle CAT. It means,

\angle CAT=\angle CAP+\angle PAT

Also, \angle CAP = \angle PAT

It gives, \angle CAT=2\angle PAT

ATQ,

\angle CAT = 5x+17 \ \text{and}\ \text{PAT}=3x-4

So,

5x+17=2(3x-4)\\\\5x+17=6x-8

Taking like terms together,

5x-6x=-8-17\\\\-x=-25\\\\x=25

So, the value of x is 25.

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Rectangle ABCD is similar to rectangle QRST. The width of ABCD is 5 inches and the length is 8 inches. If the length of QRST is
omeli [17]
Answer: 7.5

Form your proportion. Let x be the width of QRST.

Length of ABCD      Length of QRST
-----------------------  =  ------------------------- 
Width of ABCD         Width of QRST

8/5 = 12/x

Solve for x by cross-multiplying.
(8)(x) = (12)(5)
8x = 60
x = 7.5


8 0
3 years ago
If Hillary spent a total of 4 hours and 35 minutes studying for her Final, how much time, in minutes, did Claudio spend studying
Maru [420]

Hillary spent a total of 275 minutes studying for his Final.

What is unit conversion ?

When a unit conversion is performed, the same property is expressed in a different unit of measurement.

Here it is given that :

Hillary spent a total of 4 hours and 35 minutes studying for her Final

We known that :

1 hours equals 60 minutes

then,

4 hours and 35 minutes will be equals to = 4x60 + 35

                                                                    = 240 + 35

                                                                    = 275 minutes

Therefore, Hillary spent a total of 275 minutes studying for his Final.

Learn more on conversion of units here;

brainly.com/question/340715

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6 0
1 year ago
After kicking, one coach likes to play practice games with 6 players on each
xxMikexx [17]

Answer:dis is hard hope u find an answer

Step-by-step explanation:N/A

7 0
3 years ago
12) 3 + x + 2x <br>A) 3 + 3x C) 3 + 7x <br>B) -17x D) 3 + 17x​
Alona [7]

A) 3 + 3x is the answer.

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5 0
3 years ago
Read 2 more answers
PLEASE HELP!! for 20 points<br> What is the area of the<br> composite figure?
belka [17]

Answer:

46

Step-by-step explanation:

Break the shape into smaller shapes, then solve:

Large Rectangle -> 4x8=32

Tiny Rectangle at the bottom ->2x3=6

Triangle at top can be broken into two right triangles ->

(4x2)(1/2)=4

(4x2)(1/2)=4

Add: 32+6+4+4=46

4 0
2 years ago
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