There are several conditions where triangles can be proved similar:
AA - where two of the angles are same.
SAS - where two sides of a triangle compare to the corresponding sides in the other are in same proportion, and the angle in the middle are equal.
SSS - Where all sides in a triangle and the corresponding sides are in the same proportion.
In the case above, we can only use the method of SAS, as only two sides of the triangles are given.
<HMG = <JMK (vertically opposite angles)
HM/MK = 8/12 = 2/3
GM/MJ = 6/9 = 2/3
As the two sides of a triangle comparing to the corresponding sides in the other are in same proportion, and the angle in the middle are equal, the above triangles are similar, with the prove of SAS.
Therefore, the answer is C.yes by SAS.
Hope it helps!
Answer:
Your answer would be Slope m = -3
Step-by-step explanation:
Step 1: Graph the points on a <u>coordinate plane</u>( <em>refer to image!)</em>
Whenever your trying to find a slope of 2 order pairs, remember this
m = rise/run. ( Slope = rise over run.) = Δy/Δx
Now we solve:
M = rise/run = Δy/Δx
M = y2 - y1/x2-x1
M = 5 - (-4) / -5-(-2)
<u>So we get M = 9/-3 and </u><u>9 divided by -3 is -3 </u>
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So, the slope of (-2,-4) and (-5,5) is -3.
Answer:
The 95% confidence interval obtained with a sample size of 64 will give greater precision.
Step-by-step explanation:
We are given the following in the question:
A 95% confidence interval is calculated with the following sample sizes
The population mean and standard deviation are unknown.
Effect of sample size on confidence interval:
- As the sample size increases the margin of error decreases.
- As the margin of error decreases the width of the confidence level decreases.
- Thus, with increased sample size the width of confidence level decreases.
If we want a confidence interval with greater precision that is smaller width, we have to choose the higher sample size.
Thus, the 95% confidence interval obtained with a sample size of 64 will give greater precision.
Answer:
-66+12 or -54
Step-by-step explanation:
To remove the parenthesis multiply the number outside of the parenthesis (in this case -6) to the numbers inside of the parenthesis (11, and -2).
A negative multiplied by a positive is a negative.
A negative multiplied by a negative is a positive.
Answer:
Step-by-step explanation:
The given ratio is
9 is the common factor of 18 and 27
divide numerator and denominator by 9
hence is proportion with