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Ivanshal [37]
3 years ago
13

Work out the size of angle x

Mathematics
2 answers:
Serggg [28]3 years ago
7 0

Answer:

x=60

Step-by-step explanation:

Alternate interior angles are formed when a transversal passes through two parallel lines.

Jobisdone [24]3 years ago
5 0

Answer:

X=60{BEING ALTERNATE ANGLE}

therefore THE VALUE OF X IS 60°

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1. Angle DEF

2. Definition of congruent angles

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MATH.... TRIANGLE JKL HAS VERTICES...
7nadin3 [17]
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3 years ago
Find the value of a and b when x=12
garri49 [273]
A= 360
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5 0
3 years ago
Read 2 more answers
Javier volunteers in community events each month. He does not do more than five events in a month. He attends exactly five event
mezya [45]

Answer:

The probability of Javier volunteers for less than three a month is 25%

Step-by-step explanation:

According to the questions,

The probability of Javier to attend exactly 5 events :-

P ( x = 5 ) = 25% = \frac{1}{4}

The probability of Javier to attend exactly 4 events :-

P ( x = 4 ) = \frac{1}{4}

The probability of Javier to attend exactly 3 events :-

P ( x = 3 ) = \frac{1}{4}

The probability of Javier to attend exactly 2 events :-

P ( x = 2 ) = \frac{3}{20}

The probability of Javier to attend exactly 1 events :-

P ( x = 1 ) = \frac{1}{20}

The probability of Javier to attend no events :-

P ( x = 0 ) = \frac{1}{20}

Now we have to calculate the probability of Javier volunteers for less than three P ( x < 3 ).

P ( x < 3 ) = P ( x = 0 ) + P ( x = 1 ) + P ( x = 2 )

P ( x < 3 ) = \frac{1}{20} + \frac{1}{20} + \frac{3}{20}   = \frac{1 + 1 + 3}{20}  = \frac{5}{20}  = \frac{1}{4}   = 0.25 = 25 %.

8 0
3 years ago
Find the value of annuity if the periodic deposit is $250 at 5% compounded quarterly for 10 years
mylen [45]

Answer:

The value of  annuity is  P_v  =  \$ 7929.9

Step-by-step explanation:

From the question we are told that

    The periodic payment is  P  =  \$ 250

     The  interest rate  is   r =  5\%  =  0.05

     Frequency at which it occurs in a year is  n = 4 (quarterly )

      The number of years is  t =  10 \ years

The  value of the annuity is mathematically represented as

             P_v  =  P *  [1  - (1 + \frac{r}{n} )^{-t * n} ] * [\frac{(1 + \frac{r}{n} )}{ \frac{r}{n} } ] (reference EDUCBA website)

 substituting values

             P_v  = 250 *  [1  - (1 + \frac{0.05}{4} )^{-10 * 4} ] * [\frac{(1 + \frac{0.05}{4} )}{ \frac{0.08}{4} } ]

             P_v  =  250 *  [1  - (1.0125 )^{-40} ] * [\frac{(1.0125 )}{0.0125} ]

             P_v  =  250 *  [0.3916 ] * [\frac{(1.0125)}{0.0125} ]

            P_v  =  \$ 7929.9

8 0
3 years ago
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