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Dennis_Churaev [7]
3 years ago
14

Select the correct answer.

Mathematics
1 answer:
Anit [1.1K]3 years ago
4 0

Answer:

C. 21°

Step-by-step explanation:

In triangle ABC, perpendiculars dropped on the sides AB and AC from the ray BD are equal in measure or congruent.

Therefore, ray BD is equidistant from the sides AB and AC.

So, ray BD will be the bisector of angle ABC.

\therefore m\angle ABD = m\angle DBC

(Angle bisector theorem)

\therefore (3x+9)\degree = (45-6x)\degree

\therefore 3x+9 = 45-6x

\therefore 3x+6x = 45-9

\therefore 9x = 36

\therefore x =\frac{36}{9}

\therefore x =4

\therefore (3x+9)\degree = (3*4+9)\degree=(12+9)\degree =21\degree

\implies m\angle ABD=21\degree

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Answer:

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Step-by-step explanation:

8 0
2 years ago
50a3b-8ab factor the expression completely. part a: factor out the gcf (5 points) part b: factor the difference of perfect squar
dem82 [27]

Answer:

Step-by-step explanation:

50a³b = 2⋅5²a³b

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8 0
3 years ago
What is he value of F(-3)
PolarNik [594]

The correct answer is: " 10 " .

___________________________________________

→ " f(-3) = 10 " .

___________________________________________

Explanation:

___________________________________________


Given:

___________________________________________


f(x) = 7 − x ; if: x ≤ -3 ;


f(x) = x + 4 ; if: x > -3 ;

_________________________________________


Find: " f(-3) " :

_________________________________________


Note:  " f(x) = f(-3) " ;  → " x = - 3 " ;


Since  " x  = -  =3 " ;   →  x is NOT greater than "-3" ;


→ So; " f(x) does NOT equal " x + 4" ;

_________________________________________

Consider our other option given:


We have "x = -3 " .


We our given: If " x ≤ -3 " ; {that is; if "x" is less than or equal to "-3" };


→  then: " f(x) =  7 −  x " .

______________________________________________


Since: " x = - 3 " ;


→ then " x ≤ -3 " ;  and:


→ f(x) = 7 − x  ;


THEN:


→ f(-3) = 7 − (-3) ;  →  Note:  Plug in "-3" for the value(s) of "x" in the equation;

and solve:

→         =  7  +  3 ;    

             =  10 .

___________________________________________________

→  f(-3)  =  10  .


_____________________________________

The answer is:  " 10 " .

_____________________________________

Hope this answer — and explanation — is helpful to you.

Best wishes in your academic pursuits!

_____________________________________

5 0
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Talja [164]

Answer:

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Step-by-step explanation:

Radii start in the middle of the circle to the end of the circle.

5 0
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Morgarella [4.7K]

Answer:

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Step-by-step explanation:

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or c.d.=2/3-1/2=(4-3)/6=1/6

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