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Pani-rosa [81]
3 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]3 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]3 years ago
4 0

Answer:

A=80

Angle b=50

Angle c=50

Step-by-step explanation:

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valina [46]

Answer:

the answer is 80

Step-by-step explanation:

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4 0
3 years ago
Find the distance between each set of points. Round to the nearest tenth, when necessary. (-3, 2) and (1, -6)
vovangra [49]

Answer:

<h2>The answer is 8.9 units</h2>

Step-by-step explanation:

The distance between two points can be found by using the formula

d =  \sqrt{ ({x1 - x2})^{2} +  ({y1 - y2})^{2}  } \\

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-3, 2) and (1, -6)

The distance between them is

d =   \sqrt{ ({ - 3 - 1})^{2}  +  ({2 + 6})^{2} }   \\  =  \sqrt{ ({ - 4})^{2} +  {8}^{2}  }  \\  =  \sqrt{16 + 64}  \\  =  \sqrt{80}  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \\  = 4 \sqrt{5}  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \\  = 8.9442719...

We have the final answer as

8.9 units to the nearest tenth

Hope this helps you

6 0
2 years ago
You have to pay $32.75 for an item after a 25% markup. What was the original price?
stepan [7]
It should be around 24.56 i rounded tho
7 0
3 years ago
Passes through (-4, -5), slope = 3/4
ra1l [238]

Answer:

Step-by-step explanation:

y+5 = ¾(x+4)

4 0
3 years ago
The admission fee at amusement park is $1.50 for children and $4 for adults on a certain day 355 ppl entered the park and the ad
antoniya [11.8K]

Answer:

180 children and 175 adults

Step-by-step explanation:

Let it be that the amount of children who visited the park that day was x, the rest was adults. It means the quantity of adults equals 355-x.

The payment from the children is 1.5*x (because each children payed 1.5 dollars, the amount of money from children is the fee from one child multiplied by the quantity of children). The money earned by the park's owners from adults are equal to the fee from one adult multiplied by the quantity  4* (355-x)= 1420 -4x

If we add the money from chilren and adults we get the summary profit of park (it is equal to 970 dollars)

1.5x+ 1420-4x= 970

1420-2.5x= 970

x=180- children

355-180=175adults

5 0
3 years ago
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