Answer:
∠ O = 61°, ∠ N = 119°
Step-by-step explanation:
In a parallelogram
Consecutive angles are supplementary
Opposite angles are congruent, thus
x + 2x - 3 = 180
3x - 3 = 180 ( add 3 to both sides )
3x = 183 ( divide both sides by 3 )
x = 61°
Thus
∠ O = ∠ M = x = 61°
∠ N = ∠ P = 2x - 3 = 2(61) - 3 = 122 - 3 = 119°
Answer:
b. -1
Step-by-step explanation:
9=4a+13
-13 -13
--------------
-4=4a
4a/-4
a=-1
Answer:
$10000
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 5%/100 = 0.05 per year,
then, solving our equation
P = 2000 / ( 0.05 × 4 ) = 10000
P = $ 10,000.00
The principal required to
accumulate interest of $ 2,000.00
on a rate of 5% per year for 4 years is $ 10,000.00.
We have that
x²<span> + 7x + c
</span><span>Group
terms that contain the same variable
</span>(x² + 7x )+ c
<span>Complete
the square. Remember to balance the equation
</span>(x² + 7x+3.5² )+ c-3.5²
Rewrite as perfect squares
(x+3.5)²+ c-3.5²
so
c-3.5² must be zero
c-3.5²=0------- c=3.5²------> c=12.25
the answer isthe value of c must be 12.25
Answer:
3 terms we have constant ,Y and X terms