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krek1111 [17]
3 years ago
7

What is the most precise name for a quadrilateral with the following vertices:

Mathematics
1 answer:
pashok25 [27]3 years ago
3 0
<h2>Therefore it is a parallelogram.</h2>

Step-by-step explanation:

Given the vertices of the quadrilateral are  A(2,3) , B(7,2), C(6,-1) and D(1,0)

The length of AB is =\sqrt{(2-7)^2+(3-2)^2}   =\sqrt{26} units

The length of BC is =\sqrt{(7-6)^2+(2+1)^2}  =\sqrt{10} units

The length of CD is =\sqrt{(6-1)^2+(-1-0)^2} =\sqrt{26} units

The length of DA is  =\sqrt{(1-2)^2+(0-3)^2} =\sqrt{10} units

The length of AC is =\sqrt{(2-6)^2+(3+1)^2} =4\sqrt{2} units

The length of BD is =\sqrt{(7-1)^2+(2-0)^2} = 2\sqrt{10} units

Here length of AB = length of CD ,

length of BC= length of DA and

length of AC ≠ length of BD

In this quadrilateral, the opposite sides are equal but the diagonals are not equal

Therefore it is a parallelogram.

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The measure of one base angle of an isosceles triangle is 35 degrees. What is the measure of the vertex angle?
Elis [28]

Answer:

110 degrees

Step-by-step explanation:

The measures of the two base angles of an isosceles triangle are the same so  180 - 2(35) = 110 which is the vertex angle.

8 0
3 years ago
Quinzel earns $1254 each month. His total deductions are 20% of his pay. How much is deducted from his pay each month ?
vova2212 [387]

20% = 0.20

1254 x 0.20 = 250.80

so he has $250.80 deducted every month


7 0
3 years ago
Thirty percent of all customers who enter a department store will make a purchase. Suppose that 6 customers enter the store and
torisob [31]

Answer:

Step-by-step explanation:

Let's use binomial distribution, because we are interested in find the total number of successes in a sequence of n independent experiments.

In probability, a binomial distribution is used in a Bernoulli process. That is, a sequence of experiments of n independent  trials, each asking a dichotomous question, that means it only has two answers. One answer is a success (probability: p) and the other is a failure (probability: 1-p). In this case, every customer who enters in the store is the experiment. If they make a purchase is a success event, taking into account that every purchase decision has to be independent.

P(X=x) = C(n,x)p^{x} (1-p)^{n-x}

x= total number of success

n= total number of experiments

p=probability of success on an indivual trial

C(n,x) = \frac{n!}{x!(n-x)!}

a) x= 5 ------> customers that make a purchase

n= 6 ------> total customers

p=0.3

p(X=5)= C(6,5)(0.3)^{5} (1-0.3)^{6-5} \\p(X=5)=0.102

b) At least 3 customers make a purchase. x ≥ 3

P(X\geq 3)=1-P (X=0)-P(X=1)-P(X=2)\\P(X\geq 3)=1-(C(6,0)(0.3^{0})(0.7)^{6}) - (C(6,1)(0.3^{1})(0.7)^{5}) - (C(6,2)(0.3^{2})(0.7)^{4})\\ P(X\geq 3) = 1-0.11765-0.30253-0.32414\\P(X\geq3)= 0.2557

c) At most 2 customers make a purchase. x ≤ 2

P(X\leq2) = P(X=0) + P(X=1) + P(X=2)\\P(X\leq2) = (C(6,0)(0.3^{0})(0.7)^{6}) + (C(6,1)(0.3^{1})(0.7)^{5}) + (C(6,2)(0.3^{2})(0.7)^{4})\\P(X\leq2) = 0.11765-0.30253-0.32414\\P(X\leq2)=0.7443

d)At least 1 customer makes a purchase. x ≥ 1

P(X\geq 1)=1-P(X=0)\\P(X\geq 1)= 1-C(0,6)(0.3)^{0}(0.7)^{6} \\P(X\geq 1)= 1-0.11765 = 0.8824

e)They must be kind to customers, always willing to help and give information about products clearly and honestly.

Have enough inventory and offer promotions for the purchase of more than one product

Have an agile payment system that avoids rows and delays in purchases.

6 0
3 years ago
What would be the slope for (-4,-7) (-6,4)​
Sliva [168]

Answer:\frac{11}{-2}

Step-by-step explanation:

ok so I'm going to try to show it the best c an

m = slope

the equation you use is

\frac{y2-y1}{x2-x1} = m

so when using that formula with the cords, you get

\frac{4-(-7)}{-6-(-4)}

and then subtract everything and you'll get

\frac{11}{-2}

6 0
2 years ago
Given the linear function k(x) = 12 and m(x) = 3x - 5, find the new function j(x) = k(x) * m(x).
Step2247 [10]
J(x) = 12(3x - 5)
j(x) = 36x - 60
I am fairly certain that the new linear function is j(x) = 36x - 60
** I could be wrong idk
6 0
3 years ago
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