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guapka [62]
3 years ago
15

I need to find x for this problem, in a category of geometry, help please!

Mathematics
1 answer:
sattari [20]3 years ago
8 0

Answer:

17

Step-by-step explanation:

(7x)° + 61° = 180° (interior angle Postulate)

(7x)° = 180° - 61°

(7x)° =119°

7x = 119

x =  \frac{119}{7}  \\  \\  \huge \red{ \boxed{x = 17}}

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class A folds 160 fewer paper cranes than class B and 2/3 as many paper cranes as class C. Class B folds 92 more paper cranes th
krek1111 [17]
Let x = Class A
Let y = Class B
Let z = Class C
Equations from problem:
x - 160 = y
2/3x = z
y + 92 = z
Solving through substitution:
2/3x = y + 92
2/3x = (x - 160) + 92
2/3x = x - 68
-1/3x = -68
3(-1/3x) = 3(-68)
-x = -204
x = 204
Now substitute x in the first equation to get y:
204 - 160 = y
44 = y
44 = Class B
There are 44  folded paper cranes in Class B.

3 0
3 years ago
Solve by completing the square<br><br>x squared +14x - 51=0
Nesterboy [21]
x^2 +14x - 51=0\\ \\\Delta = b^{2}-4ac =14^{2}-4*1*(-51)=196+204=400 \\ \\x_{1}=\frac{-b-\sqrt{\Delta }}{2a} =\frac{-14- \sqrt{400}}{2}=\frac{-14-20}{2}= \frac{-34}{2}=-17\\ \\x_{2}=\frac{-b+\sqrt{\Delta }}{2a} =\frac{-14+ \sqrt{400}}{2}=\frac{-14+20}{2}= \frac{6}{2}=3


3 0
3 years ago
Solve the simultaneous equations by substitution<br> 4x+3y=-2<br> 3y=4-x
stiv31 [10]

Answer: x=-2 y=2

Step-by-step explanation:

I decided that isolating the y value of the second equation is the best way to start solving.

I divide 3 from both sides to get y= (4-x)/3. With this, I can substitute into the first equation. 4x+3(4-x)/3)=-2.

The multiplying the 3 by the denominator three cancels each other out to make:

4x+4-x=-2.

We subtract 4 on both sides and then subtract x from 4x.

We end up with 3x=-6. Then, we divide both sides by 3.

x=-2.

Now we substitute this into the second equation to solve.

3y=4-(-2)

This becomes 3y=4+2 which is 3y=6

We divide both sides by 3 to get y=2

We end up with x=-2 and y=2.

I hope you learned something :)

4 0
3 years ago
Read 2 more answers
At the market you can buy 6 bags of apples for $25. At the orchard you can get 8 bags of apples for $35. Which is the better dea
ryzh [129]

Answer:

8 bags at the orchard

Step-by-step explanation:

6/25 = .24

8/35 = .22

3 0
2 years ago
Read 2 more answers
Can a rational number to a rational power be rational
Aleks [24]

Answer:

it is possible to get something rational.

Step-by-step explanation:

This can't really be explained.

8 0
2 years ago
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