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3 years ago

Ellus Find the measure of 41. { 839 61 { « 1 = [?]

Mathematics

2 answers:

inn [45]3 years ago

8 0

ANSWER:

We know that the sum of angles of same sides in parallel lines are supplementary(180°).

So, ∠1 + 83° = 180°

∠1 = 180° - 83°
∠1 = 97°.

devlian [24]3 years ago

3 0

Answer:

180 - 83 = 97°

Step-by-step explanation:

Supplementary angles and Corresponding angles

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The line that contains the point Q( 1, -2) and is parallel to the line whose equation is y - 4 = 2/3 (x - 3)

Musya8 [376]

Answer:

y + 2 = $\frac{2}{3}$ (x - 1)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

y - 4 = $\frac{2}{3}$ (x - 3) ← is in point- slope form

with slope m = $\frac{2}{3}$

Parallel lines have equal slopes, thus equation of parallel line

with m = $\frac{2}{3}$ and (a, b) = Q(1, - 2) is

y - (- 2) = $\frac{2}{3}$ (x - 1) , that is

y + 2 = $\frac{2}{3}$ (x - 1)

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4 years ago

Three friends decide to evenly split their bill at a restaurant. The total bill is $84.99 and they will have to pay an additiona

xz_007 [3.2K]

Given : The Total Bill at the Restaurant is $84.99

Given : The Additional Tax is $5.10

⇒ Total Bill Including the Tax is : (84.99 + 5.10) = $90.09

Given : Three Friends decide to evenly split their Bill

⇒ $90.09 should be Divided into 3 Equal Parts

$\mathsf{\implies The\;Amount\;each\;person\;should\;owe\;is = (\frac{90.09}{3})}$

$\mathsf{\implies The\;Amount\;each\;person\;should\;owe\;is = 30.03\;Dollars}$

His Friend Calculation is <u>not</u> Reasonable

3 0

3 years ago

Graph the function y=<img src="https://tex.z-dn.net/?f=%5Csqrt%7Bx%7D%20-2-5" id="TexFormula1" title="\sqrt{x} -2-5" alt="\sqrt{

Rashid [163]

Answer:

(3, -4)

Step-by-step explanation:

The correct equation is:

$y=\sqrt{x-2}-5$

From the list of given points, we have to identify which point lies on the graph. This can be done by using the value of x-coordinates from the given points and see if they result in the corresponding y-coordinate:

For point (1, 4)

$y=\sqrt{1-2}-5=\sqrt{-1}-5$ , This is not equal to 4, so it does not lie on the graph of given function.

For point (3, -4)

$y=\sqrt{3-2}-5=\sqrt{1}-5=-4$ , The answer ans corresponding y-coordinate are the same. This means, (3, -4) point lies on the graph of given function.