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2 years ago

Two parallel lines are cut by a transversal, as shown below. Solve for b. Then explain your reasoning.

Mathematics

2 answers:

AleksandrR [38]2 years ago

5 0

Answer:

b=14

Step-by-step explanation:

the two labeled angles are vertical angles. according to the vertical angles theorem, they must be equivalent. therefore, we can set them equal to each other and solve.

5b=b+56

4b=56

b=14

GarryVolchara [31]2 years ago

3 0

5b=b+56
4b=56
b=14
The two angles are congruent by vertical angles. Set them equal and solve for b.

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What is 11.52/128 show your work

grandymaker [24]

Answer:

The answer is

Step-by-step explanation:

11.5/128

First convert the decimal to an improper fraction

That's

$11.52 = \frac{288}{25}$

So we have

$\frac{288}{25} \div 128$

Change the division sign to multiplication sign and reverse the second number

That's

$\frac{288}{25} \times \frac{1}{128}$

Simplify

$\frac{288}{3200}$

Divide through by 32

The final answer is

$\frac{9}{100}$

Hope this helps you

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3 years ago

Another one help please

guapka [62]

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4 years ago

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Which expression is equivalent to the expression below? StartFraction m + 3 Over m squared minus 16 EndFraction divided by Start

Kamila [148]

Option B: $\frac{1}{(m-4)(m-3)}$ is the correct answer.

Explanation:

The given expression is $\frac{(\frac{m+3}{m^2-16}) }{(\frac{m^2-9}{m+4} )}$

Simplifying the expression, we have,

$\frac{m+3}{m^{2}-16}\times\frac{m+4}{m^2-9}$

Factor the equations, $m^{2}-16\right$ and $m^{2}-9$ ,we get,

$m^{2}-16\right=m^{2}-4^{2}=(m+4)(m-4)$

$m^{2}-9=m^{2}-3^2=(m+3)(m-3)$

Substituting these factored expressions in the above expression, we have,

$\frac{m+3}{(m+4)(m-4)}\times\frac{m+4}{(m+3)(m-3)}$

Cancelling the common terms $m+3$ and $m+4$ , we get,

$\frac{1}{(m-4)(m-3)}$

Thus, the expression equivalent to $\frac{(\frac{m+3}{m^2-16}) }{(\frac{m^2-9}{m+4} )}$ is $\frac{1}{(m-4)(m-3)}$

Hence, Option B is the correct answer.

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3 years ago

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the square of a number increased by 5 times the number is equal to 176. find one number for which this could be true

avanturin [10]

Answer:

11 or -16

Step-by-step explanation:

The square of a number increased by 5 times the number is equal to 176.

Let the number be x

Then, x²+5x=176

x²+5x-176=0

We use splitting the middle term method

x²+16x-11x-176=0

x(x+16)-11(x+16)=0

(x-11)(x+16)=0

i.e. either x-11=0 or x+16=0

i.e. either x=11 or x=-16

Hence, the number is either 11 or -16

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Vikentia [17]

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