Answer:
The length of MN is 58 cm.
Step-by-step explanation:
In the given figure we can see that AM = MB
So, M is the mid point of AB.
Also, BN = NC ( Consider the given figure )
So, N is the mid point of BC.
Since M and N are the midpoints of AB and BC .
So, by mid segment theorem which sates that the segment joining the midpoints of any two sides of a triangle will be parallel to the third side of the triangle and half its length.
⇒ MN is parallel to AC
and
Thus , the length of MN is 58 cm.
Answer:
The 2000 CDC growth charts were developed using a reference population of infants. A pediatrician looks up one of the charts and finds that the 10th percentile for weights of baby boys at 3-1/2 months is 10.9 pounds. This means that *** about 10%*** of the 3-1/2-month-old baby boys in the reference population weigh 10.9 pounds or less, and ***about 90%*** of these baby boys weigh 10.9 pounds or more.
Step-by-step explanation:
Percentiles indicate the position or standing of a value as compared to the general set of values in the same sample space. They indicate the values below which a certain percentage of the data in a data set is found.
The nth percentile of a set of data is the value at which n percent of the data is below it.
Like in this example, the 10th percentile is the value (or score) below which 10% of the observations may be found. Similarly, 90% of the observations are found above the 20th percentile.
2 circles and for the part in the middle if you look at it as a net it
will be a rectangle just rolled up. That is called a lateral surface or a
lateral face
The triangles ABC and EDF are congruent, meaning they have the same side lengths and angles measures.
The measure of DF, as both triangles are congruent, is equal to the measure of BC.
We can calculate the length of BC using the distance formula:
![\begin{gathered} D=\sqrt[]{(x_c-x_b)^2+(y_c-y_b_{})^2} \\ D=\sqrt[]{(2-2)^2+(-1-4)^2} \\ D=\sqrt[]{0^2+(-5)^2} \\ D=\sqrt[]{(-5)^2} \\ D=|-5| \\ D=5 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20D%3D%5Csqrt%5B%5D%7B%28x_c-x_b%29%5E2%2B%28y_c-y_b_%7B%7D%29%5E2%7D%20%5C%5C%20D%3D%5Csqrt%5B%5D%7B%282-2%29%5E2%2B%28-1-4%29%5E2%7D%20%5C%5C%20D%3D%5Csqrt%5B%5D%7B0%5E2%2B%28-5%29%5E2%7D%20%5C%5C%20D%3D%5Csqrt%5B%5D%7B%28-5%29%5E2%7D%20%5C%5C%20D%3D%7C-5%7C%20%5C%5C%20D%3D5%20%5Cend%7Bgathered%7D)
As BC is congruent with DF and BC=5, the length of DF is 5 units.
