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Nitella [24]
3 years ago
10

a. Find the value of each variable to the nearest tenth. B. Find the perimeter of the triangle to the nearest tenth. 1.A = 30.0,

c = 36.6, perimeter = 87.6 2. a = 17.2, c = 36.6, perimeter = 74.8 3. a = 36.6, c = 17.2, perimeter = 74.8 4. a = 36.6, c = 30.0, perimeter = 87.6
Mathematics
1 answer:
eimsori [14]3 years ago
7 0

Answer:

a = 30.0, c = 36.6, perimeter = 87.6 - this is what I got for my answer so I hope this helps

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If lines a and b are parallel, and m<8=150, what is the m<2
ss7ja [257]

Step-by-step explanation:

\underline{\large{ \tt{G \: I \: V \: E \: N}}} :

  • Line a & b are parallel
  • m ∠ 8 = 150 °

\underline{ \large{ \tt{T \: O\:  \: F \: I \: N \:D}}} :

  • m ∠ 2

\underline{ \large{ \tt{S\: O \:L \: U \: T \: I \: O \: N}}} :

\large{ \tt{m  \: \angle \: 8  \:  +  \: m  \: \angle \: 2 = 180 \degree}} [ Sum of co-interior angles ]

⤑ \large{ \tt{150 \degree \:  + m  \: \angle \: 2}} = 180 \degree

⤑ \large{ \tt{m \angle \: 2 \:  =  \: 180 \degree - 150 \degree}}

⤑ \large{ \tt{m  \: \angle \: 2 \:  =  \bold{ \tt{30 \degree}}}}

\red{ \boxed{ \boxed{ \tt{Our \: final \: answer :  \boxed{ \underline{ \bold{ \tt{30 \degree}}}}}}}}

Hope I helped ! ♡

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# \underbrace{ \tt{Carry \: On \: Learning}} !!

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8 0
3 years ago
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The quotient of (x^3+3x^2-4x-12)/(x^2+5x+6)
Elis [28]

Answer: The quotient is (x-2).

Step-by-step explanation:

Since we have given that

f(x)=(x^3+3x^2-4x-12)\\\\and\\\\g(x)=x^2+5x+6\\\\So,\ \frac{\left(x^3+3x^2-4x-12\right)}{\left(x^2+5x+6\right)}

Now, we have to find the quotient of the above expression.

So, here we go:

Factorise\ (x^3+3x^2-4x-12)\\\\=\left(x^3+3x^2\right)+\left(-4x-12\right)\\\\=-4\left(x+3\right)+x^2\left(x+3\right)\\\\=\left(x+3\right)\left(x^2-4\right)

Now, we will divide the above simplest form with g(x):

\frac{\left(x+3\right)\left(x^2-4\right)}{\left(x+2\right)\left(x+3\right)}\\\\=\frac{x^2-4}{x+2}\\\\=\frac{\left(x+2\right)\left(x-2\right)}{x+2}\ using\ (a^2-b^2)=(a+b)(a-b)\\\\=x-2

Hence, the quotient is (x-2).


6 0
3 years ago
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Which is it? , 30 points
goldenfox [79]

Answer:

It's choice B.

Step-by-step explanation:

Let's look the one you have chosen (A):

f(x) =  x - 2/ 7  + 8

x-2 / 7 = f(x) - 8

x- 2 = 7(f(x) - 8)

x = 7(f(x) - 8) + 2

The inverse)= 7(x - 8) + 2

So it's not A.

B.  f(x) = 5(x/4) - 3

5x / 4 = f(x) + 3

5x = 4(f(x) + 3)

x = 4(f(x) + 3 / 5

So the inverse is  4(x + 3) / 5

So it is B.

5 0
3 years ago
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The midpoint of FG is (6-4) and the coordinates of point Fare (-3, 6) What are the coordinates of point G?​
lora16 [44]

Answer:

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Step-by-step explanation:

Given that,

The midpoint of FG is (6-4) and the corrdinates of F are (-3,6).

Let (x,y) be the coordinates of point G. Using mid point formula,

\dfrac{x+(-3)}{2}=6\ \text{and}\ \dfrac{y+6}{2}=-4\\\\x-3=12\ \text{and}\ y+6=-8\\\\x=15,\ \text{and}\ y=-14

So, the coordinates of G are (15,-14).

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2 years ago
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frozen [14]

Step-by-step explanation:

Given

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or, 2x + 5x = 3 + 1

or, 6x = 4

or, x = 4/ 6

Therefore x = 2 /3

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8 0
2 years ago
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