The area of the reflective material is: 284 square yards.
<h3>What is a rectangle?</h3>
A rectangle is a quadrilateral with four sides and four right-angles.
it has two lines of symmetry.
Analysis:
To find the area of the reflecting material we find the area of the following shapes: trapezium + rectangle + triangle
bigger base of trapezium = 2 + 6 + 2 = 10 yard
smaller base of trapezium = 6
length of rectangle = 18 yard
width of rectangle : 2+6+2 = 10 yard
base of triangle is = 10 yard
Area of reflective material = 1/2(6+10) + 18x10 + 1/2(10)(8) = 284 square yards
In conclusion, the area of reflective material is : 284 square yards.
Learn more about quadrilaterals: brainly.com/question/16691874
#SPJ1
B is the answer. PLEASE MARK AS BRAINLIEST!!!
Answer:
Using the information from the problem, the measurement of ∠A is 55°
Step-by-step explanation:
We are given that ΔABC is isosceles. If a triangle is isosceles, then it means that two angles are going to be congruent to each other which are called the base angles. In the problem above, ∠A and ∠C are the base angles so that means that their measurements are going to be equal to each other.
We can use this information in order to solve the problem and find the measurement of ∠A. By doing so, we will set up both expressions and equal them to each other.
<em>m∠A = 3x + 40</em>
<em>m∠C = x + 50</em>
3x + 40 = x + 50
Subtract x on both sides of the equation.
2x + 40 = 50
Subtract 40 from both sides of the equation.
2x = 10
Divide 2 on both sides of the equation.
x = 5
So now that we have our x-value, we will plug this into both angles just to check our work. If they have the same measurement, then we have our answer for the measurement of ∠A.
<em>x = 5</em>
m∠A = 3(5) + 40
m∠A = 15 + 40
m∠A = 55
m∠C = (5) + 50
m∠C = 55
So, the two angles have the same measurements to each other which means they are congruent. Now, we have our answer.
The measurement of ∠A is 55°
, we could write
