We will take the common terms in the expressions-
Here in the expression, 3y is a common term.
So,
So, the answer is
On an isosceles trapezoid, the two sides that are not parallel to each other will be exactly the same length. If this is true, than it would be create a symetric trapezoid. The diagonals would be the same length. The bases of any trapezoid are parallel, so this is true. The diagonals cannot possibly be perpendicular because the 2 nonparallel sides would be slanted. So, the answer is the 3rd choice.
Make 2 equations from the question first
x is the number of pints for type 1
y is the number of pints for type 2
The equation
x + y = 120
60% x + 85% y = 65% (x + y)
Solve the equation
From the 2nd equation
0.6x + 0.85y = 0.65(x + y)
0.6x + 0.85y = 0.65x + 0.65y
0.85y - 0.65y = 0.65x - 0.6x
0.2y = 0.05x
y = 4x
From the 1st equation
x + y = 120
x + 4x = 120
5x = 120
x = 24
y = 4x
y = 96
The first type should be 24 pints, the second type should be 96 pints
All you need to do is plug in the points!
Here we go:
3(0)- 4(-5)-8
If it equals 12, then it is a point and an answer.
3(0)- 4(-5)-8= 12
(0,-5) is a point!
Next one:
3(4)-4(-2)-8
12+8-8
That equals twelve. (4,-2) is an answer as well!
I am going to quickly plug in the rest of the points, since I think you have the idea.
<span>(8,2) 3(8)-4(2)-8= 8 This is not an answer.
(-16,-17) 3(-16)-4(-17)-8 = 12 This is answer.
(-1,-8) 3 (-1)-4(-8)-8= 21 This is not an answer.
(-40,-34) 3(-40)-4(-34)-8= 8 This is not an answer.
</span>
I hope this helped you!
Brainliest answer is always appreciated!
Answer:
a = 36°
b = 144°
Step-by-step explanation:
<h3><u>Method 1</u></h3>
Number of sides = n = 10
Sum of interior angles = (n - 2) × 180°
= (10 - 2) × 180°
= 8 × 180°
= 1440°
Interior angle = b = sum of interior angles ÷ number of sides
b = 1440 ÷ 10
b = 144°
a + b = 180° (Sum of angles in the straight line)
a + 144° = 180°
a + 144° - 144° = 180° - 144°
a = 36°
<h3><u>Method 2</u></h3>
Number of sides = 10
Exterior angle = a = 360° ÷ Number of sides
a = 360° ÷ 10
a = 36°
a + b = 180° (Sum of angles in the straight line)
36° + b = 180°
36° + b - 36° = 180° - 36°
b = 144°
