Answer:
m∠W = (4x)° = 4 × 18 = 72°
m∠Y = (3x)° = 3 × 18 = 54°
m∠Z = (3x)° = 3 × 18 = 54°
Step-by-step explanation:
m∠W = (4x)°
m∠Y = (3x)°
m∠Z = (3x)°
i.e.,
We Know That,
The sum of a Triangle is 180°
So,
m∠W + m∠Y + m∠Z
i.e.,
(4x)° + (3x)° + (3x)° = 180°
10x° = 180°
x = 180/10
x = 18°
Now,
m∠W = (4x)° = 4 × 18 = 72°
m∠Y = (3x)° = 3 × 18 = 54°
m∠Z = (3x)° = 3 × 18 = 54°
Thus, x = 18°
<h3>
<u>FOR</u><u> </u><u>VERIFICATION ONLY</u><u>:</u></h3>
(4x)° + (3x)° + (3x)° = 180°
4 × 18 + 3 × 18 + 3 × 18 = 180
72° + 54° + 54° = 180°
180° = 180°
Hence, L.H.S = R.H.S
<u>-TheUnknown</u><u>S</u><u>cientist</u>
Answer: y=2x+2
Step-by-step explanation:
Rule as an expression: 2x+11-8
Simplify: 2x+2
Rewrite as an equation with x (input) and y (output): y=2x+2
Given:
The figure of a right angle triangle.
To find:
The value of y.
Solution:
in a right angle triangle,
In the given right triangle,
On cross multiplication, we get
Therefore, the value of y is 
units.
The polynomial that represents the area of the trapezoid shaped window is: 1/2(8x² - 14x - 15).
<h3>What is the
Area of a Trapezoid?</h3>
Area of trapezoid = 1/2(a + b)h, where a and b are length of the parallel sides, and h is the height.
Given:
a = 3x + 5
b = x - 2
h = 2x - 5
Thus:
Area of trapezoid = 1/2(3x + 5 + x - 2)(2x - 5)
Area of trapezoid = 1/2(4x + 3)(2x - 5)
Area of trapezoid = 1/2(8x² - 14x - 15)
Therefore, the polynomial that represents the area of the trapezoid shaped window is: 1/2(8x² - 14x - 15).
Learn more about area of trapezoid on:
brainly.com/question/1463152
Regular pentagon means the shape with 5 sides which their lengths are equal to each other.
so, if the total perimeter of the pentagon is 10s - 20,
we can find the length of each side by dividing it by 5.
(10s - 20) / 5
we can expand this equation by dividing each number in the bracket by 5
= 2s - 4
Therefore, the answer should be D.
