Mathematics, 25.09.2019 03:30, juandguardado7045

Angle dbc measures 5 degrees less than angle c and angle d measures 8 degrees more than angle c. what are the measures of each angle of the triangle?

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answered: crayons18

The measure of angle b (angle dbc) is $54\°$

The measure of angle c is $59\°$

The measure of angle d is $67\°$

Step-by-step explanation:

Let

x-----> measure of angle b (angle dbc)

y----> measure of angle c

z----> measure of angle d

Remember that

The sum of the internal angles of a triangle must be equal to 180 degrees

$x+y+z=180\°$ -----> equation A

x=y-5 -----> equation B

z=y+8 ----> equation C

Substitute equation B and equation C in equation A and solve for y

$(y-5)+y+(y+8)=180\°$

$3y+3=180\°$

$3y=177\°$

$y=59\°$

Find the value of x

$x=59\°-5\°=54\°$

Find the value of z

$z=59\°+8\°=67\°$

The measures of each angle of the triangle are

The measure of angle b (angle dbc) is $54\°$

The measure of angle c is $59\°$

The measure of angle d is $67\°$

answered: Guest

a) one student is chosen from classroom a, then a student is chosen from classroom b.

step-by-step explanation:

independent events are ones in which the probability of one event does not affect the probability of the second event.

one student is chosen from classroom a; this does not affect the chances of choosing a student from classroom b. this makes these independent events.

when one card is chosen from a standard deck and then set aside before a second card is chosen, the probability of the second card being chosen changes. this makes them dependent events.

when one student is chosen from classroom a and then a second student is chosen from classroom a, the probability of choosing the second student changes. this makes them dependent events.

when a letter is chosen from the alphabet and then a second letter is chosen, the probability of choosing the second letter changes. this makes them dependent events.

answered: Guest

second option

step-by-step explanation:

the measures of a triangle equal 180. use that to find x.

2x+3x+4x=180

9x=180

9x/9=180/9

x=20

now you know x, you know angle a is 40°, angle b is 60°, angle c is 80°.

because angle a is 40°, the first option doesn't work.

because angle b is 60°, the second option does work.

when you add angle a and b, you get 100°. complementary means it equals 90°, so the third option doesn't work.

when you add angle a and c, you get 120°, which is not 100.

Triangle abc has the angle measures shown. ma= (2x) mb = (3x) mc = (4x) which statement is true abou

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Angle dbc measures 5 degrees less than angle c and angle d measures 8 degrees more than angle c. wha...