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3 years ago

For the diagram shown, which angles are alternate interior angles? ∠3 and ∠6 ∠8 and ∠2 ∠4 and ∠7 ∠3 and ∠5

Mathematics

2 answers:

labwork [276]3 years ago

8 0

Answer:

∠3 and ∠5 are alternate interior angles

Step-by-step explanation:

By the definition, alternate interior angles are angles that are inside the lines and opposite sides of each other on the transversal.

Karolina [17]3 years ago

6 0

Answer:

3 and 5

Step-by-step explanation:

Alternate interior angles are the angles in between the two lines and on the inside

4 and 6

3 and 5

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Q = 23° 26' 33"<br> (Round to 3 decimal places as needed.)

Natali [406]

Answer:

Q = 23° 26' 33"

Step-by-step explanation:

(Round to 3 decimal places as needed.)

6 0

3 years ago

Sin0=12/37 find tan0

alexira [117]

Answer:

$\large{ \tt{❃ \: EXPLANATION}} :$

We're provide - Sin θ = $\frac{12}{37}$ which means 12 is the perpendicular & 37 is the hypotenuse [ Since Sin θ = $\tt{ \frac{p}{h}}$ ] . We're asked to find out tan θ ].

$\large{ \tt{❁ \: USING \: PYTHAGORAS \: THEOREM}} :$

$\large{ \tt{❊ \: {h}^{2} = {p}^{2} + {b}^{2} }}$

$\large{ \tt{⇢ {p}^{2} + {b}^{2} = {h}^{2} }}$

$\large{ \tt{⇢ \: {b}^{2} = {h}^{2} - {p}^{2} }}$

$\large{ \tt{⇢ \: {b}^{2} = {37}^{2} - {12}^{2} }}$

$\large{ \tt{⇢ \: {b}^{2} = 1369 - 144}}$

$\large{ \tt{ ⇢{b}^{2} = 1225}}$

$\large{ \tt{⇢ \: b = \sqrt{1225}}}$

$\large{ \tt{⇢ \: b = 35 \: \text {units}}}$

Now , We know - Tan θ= $\tt{ \frac{perpendicular}{base} }$ . Just plug the values :

$\large{ \tt{➝ \: Tan \: \theta = \frac{p}{b} = \boxed{ \tt{ \frac{12}{35} }}}}$

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5 0

3 years ago

8+3(16-12) I got 16 but I want to make sure I'm correct

storchak [24]

8 + 3(16-12)

8 + 3(4)

8 + 12

20 is your answer

hope this helps

3 0

3 years ago

X°+(x+30)=180°<br>I need answer

djyliett [7]

Answer:

210 + -1x

Step-by-step explanation:

Simplifying

X + (x + -30) = 180

Reorder the terms:

X + (-30 + x) = 180

Remove parenthesis around (-30 + x)

X + -30 + x = 180

Reorder the terms:

-30 + X + x = 180

Solving

-30 + X + x = 180

Solving for variable 'X'.

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

Add '30' to each side of the equation.

-30 + X + 30 + x = 180 + 30

Reorder the terms:

-30 + 30 + X + x = 180 + 30

Combine like terms: -30 + 30 = 0

0 + X + x = 180 + 30

X + x = 180 + 30

Combine like terms: 180 + 30 = 210

X + x = 210

Add '-1x' to each side of the equation.

X + x + -1x = 210 + -1x

Combine like terms: x + -1x = 0

X + 0 = 210 + -1x

X = 210 + -1x

Simplifying

X = 210 + -1x

7 0

2 years ago

What is the value of f(3) if f(x)=-5/2+4?

Tema [17]

Exact form: 3/2
decimal form:1.5
mixed number: 1 1/2

6 0

3 years ago