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victus00 [196]
3 years ago
12

Find the area of the parallelogram​

Mathematics
1 answer:
OverLord2011 [107]3 years ago
6 0

Answer:

Step-by-step explanation:

base times height

your base is 14 and height is 3

so your answer is 42

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In the graphic below,
sukhopar [10]

The external angle is suplementary to the internal angle close to it. We also know that the sum of all the internal angles of the triangle are equal to 180 degrees, this means that the angle "a" is suplementary to the sum of the angles "b" and "c". Through this logic, we can conclude that since:

\begin{gathered} \angle d=180-\angle a \\ \angle b+\angle c=180-\angle a \end{gathered}

Then we can conclude that:

\angle d=\angle b+\angle c

Therefore the statement is true, the exterior angle is equal to the sum of its remote interior angles.

Let's use an example:

On this example, the external angle is 120 degrees, therefore the sum of the remote interior angles must also be equal to that. Let's try:

x=75+45=120

The sum of the remote interior angles is equal to the external angle.

6 0
1 year ago
Simplify.
pantera1 [17]
-12 + 9 - (-3) - 11

Remember PEMDAS: This is the order of operation.
P-Paragrahp
E-Exponent
M-Multiply
D-Divide
A-Add
S-Subtract

1st step: PEM
-(-3) is actually -1 * -3 = + 3

-12 + 9 + 3 - 11

2nd step: D is not possible, so we do A.
9 + 3 = 12

3rd Step: Subtract
12 - 12 - 11 = 0 - 11 = -11 CHOICE B. 

7 0
3 years ago
This maximization linear programming problem is not in "standard" form. It has mixed constraints, some involving ≤ inequalities
stellarik [79]

Answer: See Annex

z (max)  = 190

x = 10

y = 20

Step-by-step explanation:

z = 5*x  +  7*y     to maximize

Subject to:

x + y ≤ 30

2*x + y ≤50

2*x - y ≥ 0

x≥=  y ≥0

5 0
3 years ago
The slope of the line below is 2. Use the coordinates of the labeled point to find the point-slope equation of the line. 
IgorLugansk [536]

Answer:

A. y + 6= -2(x - 4)

Step-by-step explanation:

Let A(a , b) be a point of the line

and m be the slope.

The equation of the line in Point-slope form :

y - b = m (x - a).

…………………………

Given :

Slope = -2

A(4 , -6)

Then

Point-slope equation : y + 6= -2(x - 4)

6 0
2 years ago
The sum of two numbers is 53 and the difference is 11. What are the numbers?
vaieri [72.5K]
Let assume that the the two numbers are X and Y and that X is the large number.
According to the question, 
X + Y = 53 .................. Equation 1
then,  X = 11 + Y........... Equation 2
Substitute equation 2 into equation 1.
[11 + Y] + Y = 53
11 + 2Y = 53
2Y = 53 - 11 = 42
2Y = 42
Y = 42 / 2 = 21,
Therefore, Y = 21 [Small number].
According to equation 1, 
X +Y = 53
X + 21 = 53
X = 53 - 21 = 32.
Therefore, X = 32 [Big number].



4 0
3 years ago
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