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Helga [31]
2 years ago
5

If GHJ is an equilateral triangle, Gh=5x-13, HJ=11x-61, and GJ=7x-29, find x and the measure of each angle.

Mathematics
1 answer:
Natalka [10]2 years ago
3 0

Answer:

x = 8

Step-by-step explanation:

Since the triangle is equilateral, then the 3 sides are congruent.

Equate any 2 sides and solve for x, that is

7x - 29 = 5x - 13 ( subtract 5x from both sides )

2x - 29 = - 13 ( add 29 to both sides )

2x = 16 ( divide both sides by 2 )

x = 8

The triangle is equilateral, thus the 3 angles are congruent, thus

The measure of each angle is 60°

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Suppose that 10 people, including you and a friend, line up for a group picture. How many ways can the photographer rearrange th
slamgirl [31]

Answer:

483 840 ways

Step-by-step explanation:

Let you and your friend be A and B.

With three people always between you two,, we have

Case 1: AxxxBxxxxx

Case 2: xAxxxBxxxx

Case 3: xxAxxxBxxx

Case 4: xxxAxxxBxx

Case 5: xxxxAxxxBx

Case 6: xxxxxAxxxB

So there is 6 ways of arranging you two through the line and for each of the six cases,

If you two remained in your positions, the rest can be arranged in 8! ways

Also for each case, you two can interchange your positions in 2! ways

Therefore,

The photographer can rearranged the line keep three people between you an your friend in

8! * 2! * 6 = 483 840 ways

7 0
2 years ago
Solve the equation:<br> 4(x - 2) = 12
Natalka [10]

Answer:x= 14

Step-by-step explanation:

84

5 0
3 years ago
Sound travels about 335 meters/second. How many kilometers would a sound travel in 1 minute?
Lelechka [254]
If sounds travel 335 meters in 1 second , in 1 minute it travels 60 times that distance :

335m × 60 = 20100 meters
Sounds travel 20100 meters per minute
if 1000 meters = 1 km ,
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20100 meters = 20.1 Km

Awnser : Sound would travel 20.1 km in one minute
7 0
3 years ago
Michelle has a jar of quarters and dimes totalling to 3.10 if there are sixteen coins in the jar how many more quarters are ther
Sav [38]
Q + d = 16....q = 16 - d
0.25q + 0.10d = 3.10

0.25(16 - d) + 0.10d = 3.10
4 - 0.25d + 0.10d = 3.10
-0.25d + 0.10d = 3.10 - 4
-0.15d = -0.90
d = -0.90/-0.15
d = 6...dimes

q + d = 16
q + 6 = 16
q = 16 - 6
q = 10...quarters

so there are (10 - 6) = 4 more quarters then dimes
5 0
3 years ago
Can someone help me
Roman55 [17]

Answer: D) Reflection across the y-axis; 270^{\circ} counterclockwise rotation about the origin

3 0
1 year ago
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