Answer:
( x+ 18) + x + ( x + 18 ) + x = 4x + 36
x + 9 + x + 9 + x + 9 + x + 9 = 4x + 36
Step-by-step explanation: The perimeter of a figure is found by adding the lengths of the sides.
X= 70 degrees
Y= 70 degrees
Understand that every triangle has three angles and they add up to 180 degrees.
If I split this triangle in half the total degrees of each individual piece will be 90 degrees. A split in the isosceles triangle will also cause the 40 degrees to halved (thus, how I got 20 degrees in our 90 triangle).
Since we are dealing with an isosceles triangles two of the sides will be equal (hence, the dashes on the triangles sides). Therefore, x and y will also be equal.
Now if our 40 degreed angle is now 20 degrees, we have an unknown angle and the triangle in total now adds up to 90 degrees we can set up an equation.
20 + y = 90
Y = 70
Since X and Y are equal, X will also be 70.
If we return to to the isosceles triangle before it was split (use your photo for reference) and we add 40 +70 + 70 we will get 180 degrees. Which is the standard total of degrees for any triangle that is not a 90 degreed triangle.
I hope this helps. Feel free to ask questions.
Below I uploaded my work.
Question
a) What is the decay factor?
b) What is the percent decrease?
c) Estimate the number of black and white TV's sold in 1999.
Answer:
a. Decay factor = 0.85
b. Percent decrease = 15%
c. 19.363 million TVs were sold
Step-by-step explanation:
Given
Solving (a): The decay factor
An exponential function has the form
Where b is:
By comparison:
Solving (b): Percentage decrease:
Percentage decrease P is calculated as follows:
Substitute 0.85 for b
Convert to percentage
Solving (c): TVs sold in 1999
First, we need to determine the value of t for 1999
In 1997, t= 0
In 1998, t= 1
In 1999, t= 2
So, we substitute 2 for t in:
Answer: The given triangle LMN is an obtuse-angled triangle.
Step-by-step explanation: We are given to use Pythagorean identities to prove whether ΔLMN is a right, acute, or obtuse triangle.
From the figure, we note that
in ΔLMN, LM = 5 units, MN = 13 units and LN = 14 units.
We know that a triangle with sides a units, b units and c units (a > b, c) is said to be
(i) Right-angled triangle if
(ii) Acute-angled triangle if
(iii) Obtuse-angled triangle if
For the given triangle LMN, we have
a = 14, b = 13 and c = 5.
So,
Therefore,
Thus, the given triangle LMN is an obtuse-angled triangle.