B is the correct answer. 106
Answer:
see below
Step-by-step explanation:
Angle ACE = DCE since they are vertical angles
Angle A = Angle E parallel lines cut by a transversal form congruent alternate interior angles
Angle B = Angle D parallel lines cut by a transversal form congruent alternate interior angles
When all three angles are equal, the triangles are similar.
We can use ratios to find DE
DE CE
------- = ----------
AB AC
DE 8
------- = ----------
12 10
Using cross products
10 DE = 8*12
10 DE = 96
Divide by 10
DE = 9.6
A conclusion which can be derived from these random samples is that: B. the students in grades 11 and 12 scored higher than the students in grades 9 and 10.
<h3>What is a median?</h3>
A median can be defined as the middle number (center) of a sorted data set, which is when the data set is arranged in from the greatest to least or the least to greatest.
In Mathematics, the median of a data set is generally considered to be a better measure of center than the mean when there's an outlier in the data set.
Based on the information provided for these samples, we can logically conclude that the students in grades 11 and 12 scored higher than the students in grades 9 and 10 because a median score of 86 is greater than a median score of 79.
Read more on median here: brainly.com/question/9550536
#SPJ1
Answer:
m < 5=27°
Step-by-step explanation:
we know that
When a transversal passes through two lines, the angles that are formed on opposite sides of the transversal and inside the two lines are alternate interior angles.
In this problem
The transversal is the diagonal BD
The two lines are AB and CD
m < 5 and m < 2 are alternate interior angles
we have that
The two lines are parallel
AB || CD
therefore
m < 5= m < 2
we have that
m < 2=27°
so
m < 5=27°
Answer:
Step-by-step explanation:
You need to get the X by itself and the only way to do that is to get rid of the 8. Since the X is being multiplied by the 8 you need to do the opposite and divide to get rid of it. Since you divide one side by 8 you must do it to the other, leaving the answer as 1/8