Answer:
True , because all properties preserved under dilation from triangle abc to a'b'c'.
Step-by-step explanation:
Given : A triangle abc is dilated by a factor of 2/3 , result triangle a'b'c'
To find :After dilation, properties of triangle abc and a'b'c' is true or false.
Solution:
Dilation of a triangle are result either decrease or increase the corresponding length of triangle , its depends on by which scale factor triangle is dilated ,and dilation does not affect the angle measures of triangle.here scale factor is 2/3 so corresponding sides of triangle a'b'c' decreases.
So, dilation of triangle are not congruent but similar to the original triangle abc
Therefore , basic properties of triangle preserved under dilation of triangle by a scale factor.
Answer:
0.231
Step-by-step explanation:
Let the Probability of students that knew the correct answer be: P(A)
P(A) = 60% = 0.6
Let the Probability that the student picked the wrong answer even if he/she knows the right answer be: P(B)
P(B) = 15% =0.15
Let the Probability of the student that do not knew the correct answer Be P(C)
P(C) = 1 - P(A)
P(C) = 1 - 0.6
P(C) = 0.4
Let the Probability that the student does not know the right answer but guessed it correctly be: P(D)
P(D) = 25% = 0.25
Let the Probability that the student picked the right answer even if he/she knows the right answer be: P(E)
P(E) = 1 - P(B)
P(E) = 1 - 0.15
P(E) = 0.85
Probability that the student got the answer wrong = (0.60 X 0.15) + (0.40 X 0.75) = 0.39
P( Student knew answer given he answered wrong) = ![\frac{P(Student knew answer) X P(Student answered wrong given he knew the answer}{0.39}](https://tex.z-dn.net/?f=%5Cfrac%7BP%28Student%20knew%20answer%29%20X%20P%28Student%20answered%20wrong%20given%20he%20knew%20the%20answer%7D%7B0.39%7D)
=![\frac{0.6*0.15}{0.39}](https://tex.z-dn.net/?f=%5Cfrac%7B0.6%2A0.15%7D%7B0.39%7D)
=![\frac{0.09}{0.39}](https://tex.z-dn.net/?f=%5Cfrac%7B0.09%7D%7B0.39%7D)
= 0.23076923077
= 0.231
Answer:
Ned lost 16 points total.
Step-by-step explanation:
If Ned got 6 questions wrong, and each one cost him four points, that would be 24 points total. 6x4=24. But since Ned got 8 additional points on a bonus question. It equals out to a total los of 18 points.
-24 + 8= -16
Answer:
![\text{\boxed{\sf{D. \ No\ solution}}}](https://tex.z-dn.net/?f=%5Ctext%7B%5Cboxed%7B%5Csf%7BD.%20%5C%20No%5C%20%20solution%7D%7D%7D)
Step-by-step explanation:
Isolate the term of x and y from one side of the equation.
<h3>y=-4x-9 and y=-4x-1</h3>
First, you have to substitute of y=-4x-1.
![\Longrightarrow: \sf{[-4x-1=-4x-9]}](https://tex.z-dn.net/?f=%5CLongrightarrow%3A%20%5Csf%7B%5B-4x-1%3D-4x-9%5D%7D)
<u>Add by 4x from both sides.</u>
![\Longrightarrow: \sf{-4x-1+4x=-4x-9+4x}](https://tex.z-dn.net/?f=%5CLongrightarrow%3A%20%5Csf%7B-4x-1%2B4x%3D-4x-9%2B4x%7D)
<u>Solve.</u>
![\Rightarrow:\sf{-1=-9}\\\\\Rightarrow: \sf{(-9)-(-1)=-9+1=-8}\\\\\Rightarrow: \sf{8=0}](https://tex.z-dn.net/?f=%5CRightarrow%3A%5Csf%7B-1%3D-9%7D%5C%5C%5C%5C%5CRightarrow%3A%20%5Csf%7B%28-9%29-%28-1%29%3D-9%2B1%3D-8%7D%5C%5C%5C%5C%5CRightarrow%3A%20%5Csf%7B8%3D0%7D)
- <u>Therefore, the correct answer is "D. No solution".</u>
I hope this helps. Let me know if you have any questions.
Answer:
![2h^{2} + 7hk - 15k^{2}](https://tex.z-dn.net/?f=2h%5E%7B2%7D%20%20%2B%207hk%20-%2015k%5E%7B2%7D)
Step-by-step explanation:
Distribute (2h − 3k)(h + 5k).
2h^2 + 10hk - 3hk - 15k^2
2h^2 + 7hk 15k^2