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kykrilka [37]
4 years ago
10

Which description applies to the angles shown in the diagram?

Mathematics
1 answer:
abruzzese [7]4 years ago
4 0
I think it’s a
But I’m not completely sure
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Solve for x ~<br><br><img src="https://tex.z-dn.net/?f=%5Cbold%5Cpink%7Bx%20%7B%7D%5E%7B2%7D%20%2B%205x%20-%206%20%3D%200%7D" id
Troyanec [42]

\qquad \qquad \rm \large \dag  \: Answer  \: \dag

We have been given a Quadratic equation, where we have to find the real values of x ~

So, let's proceed with middle term splitting method :

\qquad \sf  \dashrightarrow \:  {x}^{2}  + 5x - 6 = 0

\qquad \sf  \dashrightarrow \:  x {}^{2}  + 6x - x - 6 = 0

\qquad \sf  \dashrightarrow \:  {x(}^{} x + 6) - 1(x + 6) = 0

\qquad \sf  \dashrightarrow \: (x + 6)(x - 1) = 0

Now, we have two conditions here~

Either (x + 6) = 0

\qquad \sf  \dashrightarrow \: x =  - 6

or (x - 1) = 0

\qquad \sf  \dashrightarrow \: x = 1

4 0
2 years ago
Determine if the ordered pair is a solution of the equation.
lakkis [162]
A. True
y=3x
3=3(1)
3=3
7 0
3 years ago
In the workplace rascial discrimination is a very serious issue. consider a company in which 20% of the employees are African-Am
Ipatiy [6.2K]

Answer:

a) How many African-Americans would you expect to get promotions?

Since we have been asked to follow the binomial distribution, (B (40,0.2)

To calculate the mean of the BPD = n*p

where n is the number of promotions and p = probability

= 40 x 0.2 = 8

You expect 8 promotions.

b)  

The probability that 5 African-Americans = P (X = 5)

P( X = 5 ) = 40 sqr root ( 5 * 0.2^5 * 0.8^35 ) = 0.0854

c) What is the probability that five or fewer African-Americans receive promotions?

P( X <= 5) = P(X=5) + P(X=4) + ... + P(X=1) + P(X=0)

faster way is calculator

binomcdf(40, .2, 5) = 0.1613

Step-by-step explanation:

4 0
3 years ago
15. What is the area of ADEF shown in the figure? Show your work.
Mariulka [41]

Answer:

A = 189 yd²

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = \frac{1}{2} bh ( b is the base and h the perpendicular height )

Here b = DE = 21 , h = the line from F to DE = 18 , then

A = \frac{1}{2} × 21 × 18 = 10.5 × 18 = 189 yd²

4 0
2 years ago
If 60% of x is 22, then what is 45% of x?
Nuetrik [128]
0.60 x = 22      (as 60% = 0.60)
x = 22  / 0.60
0.45x   =    (22  *  0.45) / 0.60  =   16.5
8 0
3 years ago
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