Answer:
m∠1 = 63°
m∠2 = 49°
m∠3 = 87°
m∠4 = 44°
Step-by-step explanation:
From the given figure
∵ ∠2 and 49° are vertically opposite angles
∵ The vertical opposite angles are equal in measures
∴ m∠2 = 49°
∵ The sum of the interior angles of a Δ is 180°
∵ m∠1, m∠2, and 68° are interior angles of a Δ
∴ m∠1 + m∠2 + 68° = 180°
∵ m∠2 = 49°
∴ m∠1 + 49° + 68° = 180°
→ Add the like terms in the left side
∴ m∠1 + 117 = 180
→ Subtract 180 from both sides
∴ m∠1 = 63°
∵ ∠3 and 93° formed a pair of linear angles
∵ The sum of the measures of the linear angles is 180°
∴ m∠3 + 93° = 180°
→ Subtract 93 from both sides
∴ m∠3 = 87°
∵ 93° is an exterior angle of the triangle
∵ The measure of the exterior angle of a Δ at one vertex equals the sum
of the measures of the opposite interior angles to this vertex
∵ ∠4 and 49° are the opposite interior angles to 93°
∴ 49° + m∠4 = 93°
→ Subtract 49 from both sides
∴ m∠4 = 44°
2 because the X and 2 are being multipled at the top so im assuming thats what its going by
I Tired To Explain It As Best As I Could.
Isolate the variable by dividing each side by factors that don’t contain the variable.
24 = x • 30
Use The Commutative Property To Reorder The Terms
24 = 30x
Swap The Sides Of The Equations
30x = 24
Divide Both Sides Of The Equations By 30
30x ÷ 30 = 24 ÷ 30
Any Expression Divided By Itself Equals 1
x= 24 ÷ 30 or x =24/30
Reduce The Fraction With 6
x = 4/5
Exact Form:
x = 4/5
Decimal Form:
x = 0.8
Answer:
<u>The altitude or height of the triangle is 6 meters.</u>
Step-by-step explanation:
1. Let's review the information provided to us to answer the question correctly:
Area of a triangle = 60 m²
Base = 20 m
2. What is the altitude (h) of the triangle?
Let's recall that the formula of the area of a triangle is:
Area = (Base * Height)/2
Replacing with the real values, we have:
60 = (20 * Height)/2
60 * 2 = (20 * Height) (Multiplying by 2 at both sides)
120 = 20 Height
Height = 120/20 = 6 meters
<u>The altitude or height of the triangle is 6 meters.</u>
