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3 years ago

Can someone help me please???

Mathematics

1 answer:

Vladimir [108]3 years ago

4 0

9514 1404 393

Answer:

a) MBE; b) EBY; c) MBY; d) MBE; e) YME; f) XEW; g) EBM, EBY; h) EBY, EBM

Step-by-step explanation:

There are many choices here. We'll use choices that make as much use as possible of the same points and segments.

a) ∠MBE is an acute angle

b) ∠EBY is an obtuse angle

c) ∠MBY is a straight angle

d) ∠MBE is an angle with vertex B

e) ∠YME is an angle with side MY

f) ∠XEW is another name for ∠BER

g) ∠EBM and ∠EBY are adjacent angles

h) ∠EBY and ∠EBM are supplementary angles

<em>Additional comments</em>

An acute angle measures less than 90°; an obtuse angle measures more than 90°. A straight angle measures exactly 180°. A linear pair is a pair of adjacent angles that together measure 180°. That is, they are supplementary and combine to make a straight angle. (Supplementary angles only need to have a sum that is 180°. They do not need to be a linear pair. However, in a figure like this, where angle measures are not marked, angles are guaranteed to be supplementary only if they are a linear pair.)

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-4x-15y=-17<br>-x+5y=-13<br><img src="https://tex.z-dn.net/?f=%20-%204x%20-%2015y%20%3D%20%20-%2017%20%20%5C%5C%20%20-%20x%20%2B

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To solve this system of linear equations we need a little trick called elimination steps are below

we are given the following system of equations
$- 4x - 15y = - 17$
$- x + 5y = - 13$
if you look at the x variables in both equations you can see that we can easily eliminate them by multiplying the bottom equation by -4 as so
$- 4x - 15y = - 17$
$- 4( - x + 5y = - 13)$
simplify and we get
$- 4x - 15y = - 17$
$4x - 20y = 52$
now we can combine like terms on each side with the x's cancelling and get

$- 35y = 35$
now divide off -35
$y = - 1$
great now we can go back to our original system and pick a equation and substitute y back in to find x lets use

$- x + 5y = 13$
so now we substitute y and get
$- x + 5( - 1) = 13$
$- x - 5 = 13$
$- x = 17$
$x = - 17$

now we put x and y into one coordinate (x,y)
so now our FINAL ANSWER IS
(-17,-1)

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3 years ago

Can someone help me please???​

Can someone help me please???