Two angles are supplementary. One angle measures 26o more than the other. Find the measure of the two angles.

1 answer:

3 0

Supplementary angles are angles whose sum is equal to 180°.

Let one angle be x
The other angle is said to be 26°more than the other so it is x + 26

x + (x+26) = 180
x + x + 26 = 180
2x = 180 - 26
2x = 154
x = 154/2
x = 77

1st angle, x, is equal to 77°
2nd angle, x + 26°, is 77° + 26° = 103°

77° + 103° = 180°
180° = 180°

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The minimum and maximum temperature on a cold day in Lollypop Town can be modeled by the equation below: 2|x − 6| + 14 = 38 What

enyata [817]

$2|x-6|+14=38$
$\rightarrow2|x-6|=24$
$\rightarrow|x-6|=12$

There are two cases:
1. $x-6=12\rightarrow x=18$
2. $x-6=-12\rightarrow x=-6$

So the minimum temperature is -6, and the maximum is 18.

5 0

3 years ago

Read 2 more answers

I need help with these two equations

Ivan

for these you need to rearrange the equations and do substitutions.

#3 = if x+y=5 then you know x = 5-y

now substitute that equation for x in the 2nd one so x + 2y = 8 becomes

5-y + 2y = 8 2y - y becomes 1y which becomes y then subtract 5 from each side to get y =3

now replace y with 3 in the first equation x = 5-3 so x = 2

so (2,3) is the answer

same type of work for #4