Answer:
D. Obtuse.
Step-by-step explanation:
We are told that in 
and 
. We are asked to classify our given .
We can see that angle M and angle P are acute angles as their measure is less than 90 degrees.
Let us find the measure of angle P using angle sum property of triangles, which states that sum of interior angles of a triangle is 180 degrees.
So we can set an equation as:
Upon substituting our given values we will get,
As measure of angle N is 98 degrees, so angle N is an obtuse angle.
Since a triangle having an angle that measures more than 90 degrees is called an obtuse triangle, therefore, is an obtuse triangle and option D is the correct choice.
Answer: 36
Step-by-step explanation:
1) Find the prime factorization of 12
12=2*2*3
2) Find the prime factorization of 18
18=2*3*3
3) Multiply each factor the greater number of times it occurs in the first two steps above to find the LCM.
LCM=2*2*3*3
4) LCM=36
Answer:
<h2>5 quarts</h2>
Step-by-step explanation:
Let's think through this bit by bit.
<em>10 lbs * 16 oz/lb = 160 oz. of apples.</em>
In the proportion below, we can see we simply divide by 8, in terms of magnitude.
8 oz -> 1 cup
160 oz -> 160/8 -> 20 cup
20 cups! Is it the answer? NO! They're asking for it in units of <em>quarts, not cups.</em>
We must remember that 1 quart = 4 cups.
20 cups * 1/4 qt/cups = 5 quarts
Answer:
The value of MB = 8.4
Step-by-step explanation:
We know that the point of intersection of the Medians of a triangle is called the centroid of a triangle.
Thus,
For the given triangle ΔJKL,
- The point M is the centroid of the triangle.
We also know that the centroid is 2/3 of the distance from each vertex to the midpoint of the opposite side.
Also, each Median is split into two parts such that the longer part is 2 times the length of the smaller part.
In our case,
The median KB is split into two parts such that the longer part KM is 2 times the length of the smaller part MB.
i.e.
KM = 2 MB
Given KM = 16.8
so substitute KM = 16.8 in the equation KM = 2 MB
16.8 = 2 MB
MB = 16.8/2
MB = 8.4
Therefore, the value of MB = 8.4
1700 that is due in 14 days with a fee of 100$ because it’s a shorter time period
