An angle of 200° is a/an _______ angle. A) Right B) Acute C) Reflex D) Straight

Write an equation of a line parallel to line GH below in slope-intercept form that passes through the point (-5, 6).

Alexandra [31]

There are several information's of immense importance already given in the question. Based on those information's. the answer can be easily deduced.

We already know that
y = mx + b
Then
Slope for GH = (6 - 2)/(- 2 - 2)
= - 1
We already know that parallel lines have the same slope
Then
6 = -1(5) +b
6 = - 5 + b
b = 11
Then, the equation is
y = x + 11
From the above deduction, it can be easily concluded that the correct option among all the options that are given in the question is the last option or the fourth option.

4 0

3 years ago

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Dalton and Connor each invest money. The function f(x) = 850(1.07)x models the value of Dalton’s account after x years. The func

masha68 [24]

The answer to the question is A. 7%.

7 0

3 years ago

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I am confused. what is 5r– 7 = 2r+ 14

Vlada [557]

Answer:

r=7

Step-by-step explanation:

5r-7=2r+14

add sevento both sides

5r=2r+21

Subtract 2r from both sides.

3r=21

divide both sides by 3

r=7

5 0

4 years ago

You go shopping at a local department store with your friend and cousin. You buy one pair of jeans, four pairs of shorts, and tw

VashaNatasha [74]

Answer: Cost per pair of jeans = $ 20

Cost per pair of shorts = $12

Cost per shirt = $8

Step-by-step explanation:

Let x= cost per pair of jeans

y = Cost per pair of shorts

z= cost per shirt.

For you, total cost = x+4y+2z= 84

For your friend, total cost = 2x+y+3z=76

For cousin, total cost = x+2y+z= 52

Required system:

$x+4y+2z=84\ (i)\\ 2x+y+3z=76\ (ii)\\ x+2y+z=52\ (iii)$

from (i), $x=84-4y-2z$ (*)

put this in (ii) and (iii) we get

$2\left(84-4y-2z\right)+y+3z=76\\\Rightarrow\ -7y-z+168=76\ (iv)\\\\ 84-4y-2z+2y+z=52\\\Rightarrow\ -2y-z+84=52 \ (v)$

from (iv), $y=-\frac{z-92}{7}\ (vi)$

$\mathrm{Subsititute\:}y=-\frac{z-92}{7}\ \text{in}\ (v)$

$-2\left(-\frac{z-92}{7}\right)-z+84=52\\\\\Rightarrow\ -2\left(-\frac{z-92}{7}\right)-z=-32\\\\\Rightarrow\ -\frac{5z}{7}-\frac{184}{7}=-32\\\\\Rightarrow\ -5z-184=-224\\\\\Rightarrow\ -5z=-40\\\\\Rightarrow\ z=8$