Answer:
see the explanation
Step-by-step explanation:
we know that
The <u>Triangle Inequality Theorem</u> states that the sum of any 2 sides of a triangle must be greater than the measure of the third side
In this problem
If the perimeter of triangle is equal to 36 cm
The longest side can't be equal to 18 cm
The student is incorrect
Because if the longest side is equal to 18 cm, and the perimeter is equal to 36 cm, then the sum of the other two sides is equal to 18 cm
and
Applying the triangle inequality theorem
Let
c -----> the longest side
a and b the other two sides
we have that
if c=18 cm
a+b > c
a+b > 18 cm
therefore
If the longest side is 18 cm, the sum of the other two sides must be greater than 18 cm and the perimeter will be greater than 36 cm
Answer:
Explanation:
Multiply Both Sides By 8:
= 
Simplify:
= 
Divide Both Sides By -2:
= 
Simplify:
= 
//Mordancy //.
The sum of the angles of a triangle is 180º.
We have three angles:
∠yxz=3x+5
∠xzy=180º-(8x-14)
∠xyz=4x
Therefore:
(3x+5º) + [180º-(8x-14º)]+(4x)=180º
3x-8x+4x=180º-5º-14º-180º
-x=-19º
x=19º
∠yxz=3x+5º =3(19º)+5º=62º
∠xzy=180º-(8x-14)=180º-(8(19º)-14)=42º
∠xyz=4x=4(19º)=76º
Answer: m∠yxz= 62º.
Description 1: "The integer n is between -7 and -4, excluding both endpoints"
Description 2: "The integer n is larger than -7 and smaller than -4"
Answer:
Standard Deviation, σ = 6.5828058860438
Step-by-step explanation:
<u>Data Set:</u> 20, 11, 27, 13, 29, 20
The total numbers in the data set
Count, N = 6
The sum is all values in the data set is added up
20 + 11 + 27 + 13 + 29 + 20
Sum, Σx: 120
The mean is the sim / N
Mean, μ: 20
