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Pani-rosa [81]
2 years ago
11

Given: Triangle ABC, D belongs to AC, BD=DC, Measure of angle 1 = measure of angle 2, measure of angle BDC = 100 degrees, Find t

he measure of angle A, B, and C.
https://homework.russianschool.com/resource?key=00qo5

PLSSS HELP!
Mathematics
2 answers:
Mandarinka [93]2 years ago
8 0

Answer:

m of angle A is 60 degrees, m of angle B is 80 degrees, and m of angle C is 40 degrees

Step-by-step explanation:

Given: BD=DC, this means the triangle BDC is isoceles because of the two equal sides.

Using the base angles Thereom we can tell that m of angle C is equal to m of angle 2.

Given that m of angle BDC is 100 degrees, using sum of angles in triangle we develop the equation

m of angle C= 180-100-angle 2

since angle 2 is equal to angle C we see that they are bothe equal to 40 degrees.

Now for B, we can easily tell it is 80 degrees since we found that angle 2 is 40 degrees and angle 1 is equal to angle 2 40+40=80 degrees

Lastly, for A we can tell it is 60 degrees, the reason is we found angle 1 is 40 degrees and we know that BDA=80 using supplemantary angles to BDC.

Develop the equation A=180-(80+40)=60 degrees

sineoko [7]2 years ago
4 0

Answer:

A=80

Angle b=50

Angle c=50

Step-by-step explanation:

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max2010maxim [7]

Answer:

It took Peter 28 minutes and 10.82 seconds to finish the race.

Step-by-step explanation:

We have that:

t_{A}: Antonio = 28 min + 11.00 s (1)

t_{J}: Julio = A - 0.08 s  (2)

t_{P}: Pete = J - 0.1 s   (3)

Then, the time at which Pete finished the race is:

t_{P} = t_{J} - 0.1   (4)

By entering equations (1), (2), (3) into (4) we have:

t_{P} = (t_{A} - 0.08) - 0.1            

t_{P} = 28 min + 11.00 s - 0.18 s = 28 min + 10.82 s

Therefore, it took Peter 28 minutes and 10.82 seconds to finish the race.    

I hope it helps you!

5 0
3 years ago
If the marked price of an article is Rs.x, discount amount is
bezimeni [28]

Answer:

The marked price of an article is Rs. x, and selling price is Rs. y

Price difference = Rs. (x−y)

Now, on Rs. x, there is a discount of Rs. (x−y)

Thus, on Rs. 100, there will be a discount of Rs.  

x

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Ava's birthday cake is about 11 7/10 cm long. her candles stick up from the cake an additional 5 4/10 cm. what was the total hig
Virty [35]

Total height of the cake and the candles is 17.1 cm

Step-by-step explanation:

  • Step 1: Convert the mixed fractions into decimal expressions.

11 7/10 cm = 117/10 = 11.7 cm

5 4/10 cm = 54/10 = 5.4 cm

  • Step 2: Find total height of the cake and the candles

Total height = 11.7 + 5.4 = 17.1 cm

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2 years ago
BD is the angle bisector of ZABC.
mojhsa [17]

Answer:

B:25°

Step-by-step explanation:

Now \angle ABC gets bisected by BD.

\angle ABD=25^{\circ}

Since, the angle is bisected, this means that the angle is split into two equal parts or the angle is halved.

We know that one of the angles is 25^{\circ} so the other angle has to be 25^{\circ} also.

Hence, the m\angle DBC=25^{\circ}.

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