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Mashutka [201]
2 years ago
9

Given: BC bisects DBE. Prove: ABD is congruent to ABE

Mathematics
1 answer:
Arada [10]2 years ago
7 0

Answer:

See below

Step-by-step explanation:

BC bisects <DBE and if AC is a straight line then you have that:

<ABD + <DBC = 180 (straight angle because of line AC)

<ABE + <CBE = 180 ( straight angle because of line AC)

Because BC bisects <DBE =>   < DBC = <CBE

So <ABD and <ABE must be the same to both sum 180 when added < DBC

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In a recent year, a sample of grade 8 Washington State public school students taking a mathematics assessment test had a mean sc
Daniel [21]

Answer:

The  number is  N  =1147 students

Step-by-step explanation:

From the question we are told that

    The population mean is  \mu  =  281

     The standard deviation is  \sigma  =  34.4

    The sample size is  n = 2000

percentage of the would you expect to have a score between 250 and 305 is mathematically represented as

      P(250 <  X <  305 ) =  P(\frac{ 250 - 281}{34.4 }  <  \frac{X - \mu }{\sigma }  < \frac{ 305 - 281}{34.4 }   )

Generally  

             \frac{X - \mu }{\sigma }  =  Z  (Standardized \ value \  of  \  X )

So  

         P(250 <  X <  305 ) =  P(-0.9012<  Z

       P(250 <  X <  305 ) = P(z_2 < 0.698 ) -  P(z_1 <  -0.9012)

From the z table  the value of  P( z_2 < 0.698) =  0.75741

                                         and  P(z_1 < -0.9012) =  0.18374

     P(250 <  X <  305 ) = 0.75741 - 0.18374

      P(250 <  X <  305 ) =  0.57

The  percentage is  P(250 <  X <  305 ) =  57\%

The  number of students that will get this score is

           N  = 2000 * 0.57

           N  =1147

6 0
2 years ago
A salesperson earns $8 per hour plus 6% commission on her sales. In a week when she worked 40 hours, her total earnings were $69
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Answer:

6216.66

Step-by-step explanation:

(8*40)+6%*×=$692; 320 + 0.6x = 692; .6×=692-320; 0.6x=373; ×=373÷.6; x=6216.66

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2 years ago
Triangles A B C and T P Q are shown. Sides A C and T Q are congruent. Angles B C A and P Q T are congruent. Which statements are
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Answer:

If Angle A ≅ Angle T, then the triangles would be congruent by ASA

If Angle B ≅ Angle P, then the triangles would be congruent by AAS.

Step-by-step explanation:

It's already given that side AC and side TQ are congruent, and angle BCA and angle PQT are congruent too. So if angle A and angle T were congruent, this would be the ASA Theorem. And if angle B were to be congruent to angle P, this would be the AAS Theorem.

Since you only need to pick 2 answer choices, you can stop there.

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