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3 years ago

Find the perimeter of parallelogram ABCD with vertices A(–5, 6), B(2, 6), C(1, –2), and D(8, –2).

1 answer:

8 0

Since in A and B we have the same y value, 2-(-5)=7 and that's one side. For A to C (we connect A to C since they are both the ones on the left), we use the distance formula to get sqrt((-5-1)^2+(6-(-2))^2=sqrt(36+64)=sqrt(100)=10. Since there are 2 equal pairs of sides in a parallelogram, we get 7*2+10*2=34

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Ead each scenario below. Determine if the situation is prop

OleMash [197]

Y=x+10
y is the total cost
x is the number of toppings times $1
10 is the cost of the pizza

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3 years ago

When planning a date night, you have a choice of 2 types of restaurants: pizza (P) or barbeque (B); a choice of 3 types of movie

enot [183]

Answer:

$S = \{PRC, PRI,PAC,PAI,PDC,PDI,BRC, BRI,BAC,BAI,BDC,BDI\}$

Step-by-step explanation:

Given

$Restaurant = \{P,B\}$

$Movies = \{R,A,D\}$

$Post-movie = \{C,I\}$

Required

List out the sample space

To do this, we simply pick 1 item in each category, without repetition.

So, we have:

$S = \{PRC, PRI,PAC,PAI,PDC,PDI,BRC, BRI,BAC,BAI,BDC,BDI\}$

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2 years ago

Violin strings are parallel. Viewed from above, a violin bow in two different positions forms two transversals to the violin str

svlad2 [7]

ANSWER

$x=10$

and

$y=20$

EXPLANATION

Since corresponding angles are equal,

$4x+y=60---(1)$

Alternate angles are also equal, therefore,

$8x+y=100---(2)$

Equation (2) minus equation (1) gives,

$\Rightarrow 4x=40$

$\Rightarrow x=10$

We put $x=10$ in to equation (1)

$4(10)+y=60$

$y=60-40$

$y=20$

4 0

3 years ago

Select the correct answer Which equation represents a line that is perpendicular to line MN?

taurus [48]

Answer:

D. y = 4x - 6

Step-by-step explanation:

The equation that is perpendicular to the line MN should have a slope that when multiplied by the slope of line MN will result to negative one. Therefore,

Therefore,

m₁ × m₂ = -1

Using the 2 coordinates of MN let's find the slope,

(-7, 6)(5, 3)

Therefore,

m₁ = 3 - 6 / 5 - (-7) = -3 / 12 = - 1 / 4

The equation that represent a line perpendicular to the line MN is

y = 4x - 6 because the slope slope(m₂) is 4.

From our formula,

4 × - 1 / 4 = - 1

So, option D meets the requirement.

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3 years ago

2 , 3 ,5,7,11,13, what’s the pattern and the next 5 numbers

LenKa [72]

Srry idk the ans for this que

8 0

2 years ago