The following can be deduced from the expressions
m ∠ D = 4 × m ∠ A
m ∠ B = 3 × m ∠ A-12
Please note that the sum of angles in a triangle is 180 degress. Therefore,
M∠ A + m ∠ B + m ∠ D = 180equation(3)
Substitute for equation 1 and 2 in equation 3 as shown below
m ∠ A + 3 × m ∠ A - 12^0 + 4 x m ∠ A =180^0
m ∠ A + 3 × m ∠ A + 4 x m ∠ A = 180^0+12^0
8m ∠ A = 192^0
m ∠ A= 192^0/8
m ∠ A=24^0
Substitute for m∠A= 24 in equation 1 and 2 as shown below
m ∠ D = 4 × m ∠ A
m ∠ D = 4 × 24^0
m ∠ D = 96^0
m ∠ B = 3 × mA - 12^0
m ∠ B = 3 × 24^0 - 12
m ∠ B = 72^0 - 12^0
,
∠= °
∠= °
∠= °
Answer:
2 2/3 cubic feet
Step-by-step explanation:
Martha will put 1/3 of the 8 cubic feet in each pot. That is ...
(1/3)(8 ft³) = 8/3 ft³ = 2 2/3 ft³
Martha will put 2 2/3 cubic feet of soil in each pot.
The examples of geometric names include triangle, circle, square, rectangle, pentagon, etc.
<h3>What is a geometric name?</h3>
Your information is incomplete as the shapes aren't given. Therefore, an overview will be given.
A geometric name is the name that is given to a shape. In this case, examples include triangle, circle, square, rectangle, pentagon, etc.
Triangle has three sides. A square has four equal sides. A rectangle has opposite sides equal, etc
Learn more about geometric on:
brainly.com/question/16982223
Answer:
53 pushes
Step-by-step explanation:
Total Volume of soap = 474 mL
Volume per push = 8mL
Mimimum volume required = 50mL
The equation which represents the number of push, x that can be made :
Total volume = minimum volume + (volume per push * number of pushes)
Total volume = 50 + (8 * x)
474 ≤ 50 + 8x
474 - 50 ≤ 8x
424 ≤ 8x
53 ≤ x
The number of pushes that can be made = 53
Answer:
2z + 33
Step-by-step explanation:
Add like terms like below:
(32 - 4) + (2z + 5) = 28 + 2z + 5
Combine like terms again:
(28 + 5) + 2z = 33 + 2z or 2z + 33
