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Aleks04 [339]
3 years ago
7

Question 13 (5 points) m_1 = (4x + 9)º and m_2 = (x - 14)° in the given figure. Find x.

Mathematics
1 answer:
Degger [83]3 years ago
3 0

Answer:

x=19°

Step-by-step explanation:

Line n and l form a right angle. We know that because line m and l are parallel to each other and line n crosses through them as a vertical line.

Right angles always add up to 90°.

So, Angle 1 add Angle 2 equals 90°.

4x+9+x-14=90°

Collect the like terms:

Like terms are terms with the same variables and powers.

4x+x=5x

9-14= -5

Form an equation:

5x-5=90°

Do inverse operations to isolate x.

90+5=95°

95÷5=19° (We divide by 5 because, in algebra, when a number is next to a letter, it means times, so we have to do the opposite and divide).

So, x=19°

Hope this helps :)

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Answer:

Let's set up an equation with x as the number of times 5 and 4 are being multiplied (remember that 5:4 is a ratio, we don't know how many dogs and cats there are, just that the ratio of dogs to cats is 5:4):

5x+4x=153

9x=153

x=17

4x=4⋅17=68

There are 85 dogs (5⋅17) and 68 cats (85:68=5:4)

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3 years ago
I’m giving away 100 points please help :
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Answer:

She estiamted the amount.

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Step-by-step explanation:

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3 years ago
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−16.2=x−(−9.3) HELLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLPP
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x = -25.5

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Step-by-step explanation:

8 0
2 years ago
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How do you solve (a-3b)(7a-3b)
Anna [14]

Step-by-step explanation:

Simplifying

(7a + 3b)(7a + -3b) = 0

Multiply (7a + 3b) * (7a + -3b)

(7a * (7a + -3b) + 3b * (7a + -3b)) = 0

((7a * 7a + -3b * 7a) + 3b * (7a + -3b)) = 0

Reorder the terms:

((-21ab + 49a2) + 3b * (7a + -3b)) = 0

((-21ab + 49a2) + 3b * (7a + -3b)) = 0

(-21ab + 49a2 + (7a * 3b + -3b * 3b)) = 0

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Reorder the terms:

(-21ab + 21ab + 49a2 + -9b2) = 0

Combine like terms: -21ab + 21ab = 0

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Solving

49a2 + -9b2 = 0

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '9b2' to each side of the equation.

49a2 + -9b2 + 9b2 = 0 + 9b2

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Remove the zero:

49a2 = 9b2

Divide each side by '49'.

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Simplifying

a2 = 0.1836734694b2

take the square root of each side:

a = {-0.428571429b, 0.428571429b}

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3 years ago
Given the equation 2Square root of x minus 5 = 2, solve for x and identify if it is an extraneous solution.
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For what values of b is f(x) = b^x an increasing function? 
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