Obtuse. that's correct
because triangle MNP has m<M = 35 and m<P = 47
the other angel m<N should be :
m<N = 180 - (m<M + m<P)
m<N = 180 - (35 +47)
m<N = 180 - 82
m<N = 98
m<N = 98 is an obtuse angel which is greater than 90
<span>An </span>obtuse triangle<span> is a </span>triangle<span> in which one of the angles is an </span>obtuse<span> angle.
</span>
Answer: triangle MNP is an obtuse triangle
<span />
Answer:
x = -1 ± √109
Step-by-step explanation:
2x • 3x + (2 • 3)x + 6x = 648
According to PEMDAS (parentheses/exponents | multiplication/division | addition/subtraction), we should solve the parentheses first.
(2 • 3) = 6
Now we have:
2x • 3x + (6)x + 6x = 648
Now let's multiply.
2x • 3x = 6x²
6 • x = 6x
Now we have.
6x² + 6x + 6x = 648
Combine like terms.
6x² + 12x = 648
Let's factor out a 6.
6(x² + 2x) = 648
Divide both sides by 6.
x² + 2x = 108
Let's use completing the square.
Our equation is in a² + bx = c form.
Divide b by 2.
2/2 = 1
Then square it.
1² = 1
Add 1 to both sides.
x² + 2x + 1 = 108 + 1
Simplify.
x² + 2x + 1 = 109
Now we want to factor the left side. A shortcut is just to use b/2.
(x + 1)² = 109
Take the square root of both sides.
x + 1 = ±√109
The square root is as simplified as possible.
Subtract 1 from both sides.
x = -1 ± √109
Hope this helps!
Answer: 60 miles per hour
Explanation: r = d/t = 420 miles/7 hours = 60 miles per hour.
Hope this helps :)
Answer:
$87.5 was invested
Step-by-step explanation:
10.5 is 12% of 87.5, so if the money was in the bank for 2 years, we would have to do 10.5*2 which is 21, and that's how much money was gained from the investment.
Answer:
14.39
Step-by-step explanation:
