Answer:
12 3/4 same slope fro both
13 DE = 5, CB = 10
14 see below
Step-by-step explanation:
12. the slopes are the same
D(0, 3) E(4, 6) slope is (change in y)/(change in x)
change in y = 3 to 6 is a change of +3
Change in x = 0 to 4 is a change of +4
slope is 3/4
13 To fine lengths you can distance formula or Pythagorean theorem (spoiler: they are related to each other)
DE² = 3² + 4²
DE² = 9 + 12
DE² = 25
√DE² = √25 = 5
DE = 5
and
CB² = 6² + 8²
CB² = 36 + 64
CB² = 100
√CB² = √100 = 10
CB = 10
14. since the slopes are the same are DE is 1/2 or CB its is the mid segment. because (taken from mathopenref.com/trianglemidsegment.html)
The midsegment is always parallel to the third side of the triangle. In the figure above, drag any point around and convince yourself that this is always true.
The midsegment is always half the length of the third side. In the figure above, drag point A around. Notice the midsegment length never changes because the side BC never changes.
A triangle has three possible midsegments, depending on which pair of sides is initially joined.
Answer:
it is A. 60 in
Step-by-step explanation:
You need to use the Pythagorean theorem for this. Take the square root of (48^2 + 36^2). This will give you the length of the diagonal.
48^2 + 36^2 = 3600
Remember we need to take the square root of 3600, which is just 60.
The length of the diagonal is 60 inches.
Answer:
<h2>
a ∈ (-∞, -3></h2>
Step-by-step explanation:
<h3>-
21 ≥ 3(a - 7) + 9</h3><h3>
- 21 ≥ 3a - 21 + 9</h3>
+21 +21
<h3>
0 ≥ 3a + 9 </h3><h3>
3a + 9 ≤ 0</h3>
-9 -9
<h3>
3a ≤ - 9</h3>
÷3 ÷3
<h3>
a ≤ -3 </h3><h3>
a ∈ (-∞, -3></h3>
Answer:
The value of the test statistic 
Step-by-step explanation:
From the question we are told that
The high dropout rate is 
% 
The sample size is 
The number of dropouts 
The probability of having a dropout in 1000 people 
Now setting up Test Hypothesis
Null 
Alternative 
The Test statistics is mathematically represented as
substituting values
Answer: The answer is ∠TUV.
Step-by-step explanation: Given in the question a quadrilateral SVUT with ∠SVU = 112°. We need to determine the angle whose measure will decide whether or not the quadrilateral SVUT is a trapezoid.
We know that for a quadrilateral to be a trapezoid, we need only one condition that one pair of opposite sides must be parallel.
So, in quadrilateral SVUT, since the measure of ∠SVU is given, so we can decide it is a trapezoid or not if we know the measure of ∠TUV. As ST and UV cannot be parallel, so its meaningless to determine ∠TSV.
For SV and TU to be parallel to each other, we need
∠SVU + ∠TUV = 180° (sum of interior alternate angles).
Therefore,
∠TUV = 180° - 112° = 68°.
Thus, we need to determine ∠TUV and its measure shoul be 68°.
