Answer:
x=-8
Step-by-step explanation:
Subtract 2 from both sides
Simplify
Multiply all terms by the same value to eliminate fraction denominators
Cancel multiplied terms that are in the denominator
Subtract 2x from both sides
Simplify
Answer:
acute base angle = 74° , obtuse base angle = 106°
Step-by-step explanation:
Since the large triangle is isosceles with vertex angle (top angle) is 32, then the bottom 2 angles would be same (let it be x):
We know angles of triangle add up to 180, so we have:
x + x + 32 = 180
2x = 180 - 32
2x = 148
x = 148/2
x = 74
This 74 degree angle is the base acute angle of the isosceles trapezoid (lower portion). We also know opposite angles of isosceles trapezoid are supplementary (add up to 180), thus
obtuse angle + 74 = 180
obtuse angle (base) = 180 - 74 = 106
Thus, acute base angle = 74° , obtuse base angle = 106°
Answer:
Given: 
.
Assuming that 
, 
while 
.
Step-by-step explanation:
By the Pythagorean identity 
.
Assuming that , 
.
Rearrange the Pythagorean identity to find an expression for 
.
.
Given that :
.
Hence, 
would be:
.
9514 1404 393
Answer:
A. $0.85
Step-by-step explanation:
Each time m increases by 1, the cost goes up by $0.85.
The cost per mile is $0.85.
Answer:
h(t) = 16t changes 16 units every t. in the interval t=7 to t=2,
if its asking for:
then it's
16(2) - 16(7) = 32 - 112 = -80
