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slavikrds [6]
3 years ago
5

Look at the figure find the value of x. 4x-16 2x-4 3x-2

Mathematics
1 answer:
UkoKoshka [18]3 years ago
7 0

From the given figure we can write , using Pythagoras theorem

\\ \ BG^2=GC^2+BC^2\\ \\ BG^2=GA^2+AB^2\\ \\ \Rightarrow GC^2+BC^2=GA^2+AB^2\\ \\ \ \Rightarrow (4x-16)^2+(3x-2)^2=(2x-4)^2+(3x-2)^2\\ \\ \ \Rightarrow (4x-16)^2=(2x-4)^2\\ \\ \Rightarrow (4x-16)=(2x-4)\Rightarrow 4x-2x=16-4\\ \\ \ \Rightarrow 2x=12\Rightarrow x=6\\

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I need help bc I keep getting confused
umka2103 [35]

Answer:

6 3/4 (six and three fourths)

Step-by-step explanation:

First, we must turn 4 6/7 into an improper fraction, AKA 28/7. Now, you can't subtract 1/4 from 28/7, can you? So what you need to do is find the greatest common factor of 4 and 7. The GCF would be 28 (7 x 4 = 28, 4 x 7 = 28).

Now we know that the GCF is 28, we can turn the numbers into 28/28 and 1/28. But wait! We aren't done yet. Now we have to change the numerators. Since you multiplied the denominator (7) by 4 to get 28, you must now multiply 28 by 4 as well. (If you do something to the bottom, you have to do it to the top!) Because of this, we are now at 196/28.

Next, we must do the numerator of 1/28. Since we multiplied the denominator (4) by 7 to get 28, we must now multiply 1 by 7. This gets you to 7/28.

It's finally time to subtract. 196 - 7 is 184, so we are at 184/28. But hey, that's an improper fraction! You have to simplify. 184 divided by 28 is 6.75. 0.75 is 3/4 when turned into a fraction.

Mash 6 and 3/4 together, and you've got your answer! 6 3/4.

7 0
3 years ago
A drink is made by mixing pineapple juice , orange juice and line juice in the ratio 2:7:3 Sally makes 600ml of the drink
Tresset [83]
Sally has 600 ml of drink
Karen has 600 ml of lime juice

When it is mixed at a ratio of 2:7:3 . . .pineapple:orange:lime (respectively) . . this means . . . there are a total of 2 + 7 + 3 parts = 12 parts . . and each part individually is as follows:

pineapple = 2/12
orange = 7/12
lime = 3/12

Sally has 12 parts = 600 ml of drink
 . . pineapple = 2/12*600ml = 100 ml pineapple
 . . orange = 7/12*600ml = 350 ml orange
 . . lime = 3/12*600ml = 150 ml lime

We know Karen has 600 ml of lime juice and if that is 3/12 of the total, then 600*12/3 = the total drink = 2400 ml of drink

Karen has 12 parts = 2400 ml of drink
 . . pineapple = 2/12*2400ml = 400 ml pineapple
 . . orange = 7/12*2400ml = 1400 ml orange
 . . lime = 3/12*2400ml = 150 ml lime


Thus . . . (for Karen) . . .
<u><em>A = 2400 ml of drink</em></u>
<u><em>B = 400 ml of orange juice</em></u>
<u><em>C = 1400 ml of pineapple juice</em></u>




5 0
3 years ago
What is the value of x in the solution to the system of linear equations? {y=3x+2 y=x-4 a –7 b –3 c 1 d 5
lyudmila [28]

Since y must equal both 3x+2 and x-4, we deduce that 3x+2 and x-4 must equal each other. So, we have

3x+2=x-4 \iff 2x+2=-4 \iff 2x=-6 \iff x=-3

5 0
3 years ago
Read 2 more answers
Tricias mother let her play outside for 15 minutes. When she went out side, she played with her dog for 5 minutes. Then she rode
Slav-nsk [51]

Answer:

6 minutes

Step-by-step explanation:

15-5=10

10-4=<u>6</u>

6 0
3 years ago
In this triangle, what is the value of x?
pochemuha
To solve for x we can use trigonometry since the triangle above is right triangle.
In this problem, it would be the easiest to use the TOA ratio which means the tangent of 62 equals x/40. To get x alone, we can multiply both sides by 40 leaving us with:
x = tan. 62 x 40
x = 1.88072646535 x 40
x = <span>75.229058614

Final Answer: x is around 75 yards</span>
8 0
3 years ago
Read 2 more answers
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