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3 years ago

MATH PLEASE HELP 50 POINTS 1 QUESTION

Mathematics

1 answer:

miv72 [106K]3 years ago

7 0

For 1, ∠1 and ∠5 are supplementary is a given, so you can just write 'Given'
For 2, due to that 1 and 2 are vertical angles (angles that are opposite to each other when two lines cross according to Math is Fun)
For 3, since ∠1=∠2, ∠1 can be substituted by ∠2 in ∠1+∠5=180 to get ∠2+∠5=180. Therefore, they are supplementary.

For 4, due to that we have Consecutive Interior Angles (they are angles that are on one side of a transversal, which is the line that cuts through a and b,but inside the two lines according to Math is Fun) adding up to 180 degrees, a || b

Feel free to ask if you have any questions!

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A stalk of corn grew 42 inches in a week. Find the unit rate in inches per day

kozerog [31]

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4 years ago

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Complete the square to transform the expression x^2+4x+2 into the form a(x-h)^2+k

KonstantinChe [14]

Equation $x^2+4x+2$ is converted to $1(x-(-2))^2-2$

Step-by-step explanation:

We need to complete the square to transform the expression x^2+4x+2 into the form a(x-h)^2+k . Let's do this :

We have , following equation to convert as :

⇒ $x^2+4x+2$

⇒ $(x+2)^2-2$

⇒ $1(x+2)^2-2$

⇒ $1(x-(-2))^2-2$

Comparing this to equation a(x-h)^2+k we get :

$a=1\\h=-2\\k=-2$

Therefore , Equation $x^2+4x+2$ is converted to $1(x-(-2))^2-2$ .

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3 years ago

If 7 - 3 and a + b = 2, what is a – b?

Butoxors [25]

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Step-by-step explanation:

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3 years ago

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Part A: Solve −np − 70 < 40 for n. Show your work. (4 points) Part B: Solve 4w − 7k = 28 for k. Show your work.

kondaur [170]

Hey!

For part A, let's write the problem,
$-np-70\ \textless \ 40$
Add $70$ to both sides...
$-np-70+70\ \textless \ 40+70$
$-np\ \textless \ 110$
We are going to reverse the inequality, to do this we are going to multiply both sides by $-1$ .
$\left(-np\right)\left(-1\right)\ \textgreater \ 110\left(-1\right)$
$pn\ \textgreater \ -110$
Divide both sides by $p$ .
$\frac{pn}{p}\ \textgreater \ \frac{-110}{p}$
Our answer would be,
$n\ \textgreater \ -\frac{110}{p}$

Let's go with Part B. Let's write the problem,
$4w-7k=28$
Subtract $4w$ from both sides,
$4w-7k-4w=28-4w$
$-7k=28-4w$
Divide both sides by $-7$ .
$\frac{-7k}{-7}=\frac{28}{-7}-\frac{4w}{-7}$
If we simplified it, we would be left with,
$k=-\frac{28-4w}{7}$

Thanks!
-TetraFish

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3 years ago

Calculate tan M if a = 5, b = 18, and c = the square root of 349

vagabundo [1.1K]

good evening ,

______

Answer:

tan M = 3.6

___________________

Step-by-step explanation:

$\frac{b}{a} = \frac{18}{5}$ = 3.6.

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