Answer:
Yes, these triangles are congruent
∠E≅∠M
Step-by-step explanation:
Yes, these triangles are similar.
<em>Proof:</em>
Each side in LNM is
times longer than the sides in GFE



According CPCTC (corresponding parts of congruent triangles are congruent), angle E is similar to angle M.
Hope this helps :)
Have a good day!
Answer:
16 meters.
Step-by-step explanation:
There are two things to keep in mind at this point, the first is that a square has all its sides equal and the second is that the perimeter in this type of figure is the sum of all the sides.
Knowing the above, we can deduce that therefore each side of the square measures 4 meters and the perimeter could be calculated since we know the value of all the sides, we know that a square has four sides:
p = 4 +4 +4 +4
p = 16
that is to say that the perimeter is equal to 16 meters.
Answer:
The given points are

The setting would have a interval or 2 units above and below the minimum and maximum of each coordinate.
The given maxium horizontal coordinate is 0.
The given minimum horizontal coordinate is -13.
The given maximum vertical coordinate is 3.
The given minimum vertical coordinate is -7.
Now, we extend each maximum and minimum value by 2 units to create the setting.
So, the setting is

With a scale of 2 units.
Answer: -1 < x < 8
x = 3
x ≠ 2
<u>Step-by-step explanation:</u>
Isolate x in the middle. Perform operations to all 3 sides.
-6 < 2x - 4 < 12
<u>+4 </u> <u> +4</u> <u>+4 </u>
-2 < 2x < 16
<u>÷2 </u> <u>÷2 </u> <u> ÷2 </u>
-1 < x < 8
**************************************************************************
Isolate x. Solve each inequality separately. Remember to flip the sign when dividing by a negative.
4x ≤ 12 and -7x ≤ 21
<u>÷4 </u> <u>÷4 </u> <u> ÷-7 </u> <u>÷-7 </u>
x ≤ 3 and x ≥ 3
Since it is an "and" statement, x is the intersection of both inequalities.
When is x ≤ 3 and ≥ 3? <em>when x = 3</em>
****************************************************************************
Isolate x. Solve each inequality separately.
15x > 30 or 18x < -36
<u>÷15 </u> <u> ÷15 </u> <u> ÷18 </u> <u>÷18 </u>
x > 2 or x < 2
Since it is an "or" statement, x is the union of both inequalities.
When we combine the inequalities, x is every value except 2.
x ≠ 2
Answer:
1. d. Two sided t-test
2. b. 0.000193
3. a. Since p- value is very small we can conclude that the more soda the student drink the heavier they get.
4. c. Test in inconclusive; thus we cannot claim that there is a correlation between drinking soda and weight.
Step-by-step explanation:
The hypothesis testing is used to test the claim against the alternative hypothesis. The p value is determined in order to conclude the result for the test as whether to accept or reject the null hypothesis. The null hypothesis can be accepted when the p value is greater than the critical value of the t-test.