The missing angles in the triangle is as follows:
- ∠1 = 62.5°
- ∠2 = 62.5°
- ∠3 = 55°
- ∠4 = 75°
- ∠5 = 50°
<h3>How to find the measure of angles in a triangle?</h3>
A triangle is a polygon with three sides. The sum of angles in a triangle is 180 degrees.
∠3 = 55 degrees (vertically opposite angles)
Vertically opposite angles are congruent to each other.
The exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle.
Using exterior angle theorem ,
105 = ∠5 + 55
∠5 = 105 - 55
∠5 = 50 degrees
∠4 = 180 - 50 - 55
∠4 = 75 degrees
Therefore, the other triangle is an isosceles triangle. This means the base angles are equal.
Hence,
∠1 = ∠2 = x
2x + 55 = 180
2x = 180 - 55
2x = 125
x = 125 / 2
x = 62.5 degrees.
Hence,
∠1 = ∠2 = 62.5 degrees.
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Answer:
hey
Step-by-step explanation:
yep
To simplify the given radical form, we must recall some properties of exponents as shown below.
1. 1/x⁻ⁿ = xⁿ
2. x¹/² = √x
Now, going back to 1/x⁻³/⁶, we have
1/x⁻³/⁶ = x³/⁶
x³/⁶ = x¹/²
x¹/² = √x
Using the properties provided, we have a simplified form of √x.
<span>Answer: √x</span>
Answer:
Perimeter of the rectangle is 16x+18 units.
Step-by-step explanation:
The area of rectangle is
First we have to find the factor form of above expression.
Splitting the middle term, we get
Area of a rectangle is the product of its dimensions. It means dimensions of the rectangle are (x+8) and (7x+1).
Perimeter of a rectangle is
![Perimeter=2[(x+8)+(7x+1)]](https://tex.z-dn.net/?f=Perimeter%3D2%5B%28x%2B8%29%2B%287x%2B1%29%5D)
![Perimeter=2[8x+9]](https://tex.z-dn.net/?f=Perimeter%3D2%5B8x%2B9%5D)
Therefore, the perimeter of the rectangle is 16x+18 units.
Answer:
x = - 9.7
Step-by-step explanation:
Isolate the term in x by subtracting 4.4 from both sides of the equation
- 2x = 19.4 ( divide both sides by - 2 )
x = 
= - 9.7
