In an equilateral triangle all the sides are equal. This means that all the angles add up to 180 degrees.
Divide 180 by 3 and you get 60.
You want an exterior angle so you cut the angle in half ( it is now 30 )
Because the base and the line are parallel (form right angle if drew line connecting them) x is equal to
90-30=60
Let's assume
boiling point is y
altitude is x
we are given
This relationship between altitude and boiling point is linear
At an altitude of 1000 feet, water boils at 210°F
so, first point is (1000,210)
so, x1=1000 , y1=210
At an altitude of 3000 feet, water boils at 206°F
so, second point is (3000,206)
so, x2=3000,y2=206
now, we can find slope

now, we can plug values


now, we can use point slope form of line

so, we can plug it

so, point slope form of line is

now, we can plug x=8000
and then we can solve for y


So,
the boiling point of water at an altitude of 8000 feet is 196°F..........Answer
X -> her money;
( 1 / 4 )*x = x / 4 for a pair of shoes;
( 1 / 5 )*x = x / 5 for a shoulder bag;
x - x / 4 -x / 5 = 20x / 20x - 5x / 20x - 4x / 20x = 11x / 20 the remainder;
11x / 20 - ( 3 / 8 )*x = 11x / 20 - 3x / 8 = 22x / 40 - 15x / 40 = 7x / 40 for her dress;
She pay 7 / 40 of her money for the dress.
Answer: UW= 9√3
Step-by-step explanation:
This right triangle is a 30-60-90 triangle. This is a special triangle. Since this is a special triangle, the hypotenuse is 2x.
The hypotenuse is 18. We can figure out the length of x.
2x=18
x=9
Since we got 9, you would think it is the answer, but it's not. The length across the 60° angle is x√3. Now that we know the length across from 60°, we can plug in x.
9√3
We can check our answer by using Pythagorean Theorem.
9²+(9√3)²=18²
81+243=18²
324=324
Since they are equal, we know we have the right answer.
6s+4d=$53
4s+6d=$47
Multiply 6 in the first equation which is
36s+24d=$318
Multiply -4 in the second equation which is
-16s-24d=$-188
Then..
36s+24d=$318
-16s-24d=$-188
You cancel out the -24d and +24d
36s=$318
-16s=$-188
Do the math..
20s=$130
Divide 20 by both sides and answer...
s=$6.5