Lamar explains it correctly. Then the angle ∠5 is equal to the sum of angles ∠1 and ∠2.
<h3>What is an angle?</h3>
Angle is the space between the line or the surface that meets. And the angle is measured in degree. For complete 1 rotation, the angle is 360 degrees.
Lamar wanted to explain why the measure of angle 5 is equal to the sum of the measures of angles 1 and 3.
A triangle with angles 1, 2, 3. The exterior angle to angle 1 is 4, to 2 is 5, to 3 is 6.
Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.
∠2 + ∠5 = 180° ...1
Triangle - The sum of the angle of the triangle is 180 degrees.
∠1 + ∠2 + ∠3 = 180° ...2
From equations 1 and 2, we have
∠2 + ∠5 = ∠1 + ∠2 + ∠3
∠5 = ∠1 + ∠3
Thus, angle ∠5 is equal to the sum of angles ∠1 and ∠2.
More about the angled link is given below.
brainly.com/question/15767203
Answer:
1: Yes
2: No
3: Yes
4: Yes
Step-by-step explanation:
Answer:
Step-by-step explanation:
1) A perfect square is a whole number which is a product of a smaller whole number and itself. Examples of perfect squares are
4(2 × 2)
9(3 × 3)
16(4 × 4)
25(5 × 5)
36(6 × 6)
2) Square root of 4x² is 2x(product of square root of 4 and square root of x²)
3) square of 25 is 5
4) 4x² + 20x + 25
The general formula for solving quadratic equations is expressed as
x = [- b ± √(b² - 4ac)]/2a
From the equation given,
a = 4
b = 20
c = 25
Therefore,
x = [- 20 ± √(20² - 4 × 4 × 25)]/2 × 4
x = [- 20 ± √(400 - 400)]/8
x = [- 20 ± 0]/8
x = - 20/8
x = - 2.5
They already spent $2000, and they only had $5100
Subtract
5100 - 2000 = 3100
$3,050 is your answer, because it is the only one that is less than 3100
hope this helps
