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4 years ago

Does anyone know the answer to this problem?

Mathematics

1 answer:

vesna_86 [32]4 years ago

6 0

Start with the fact that the sum of the angles in a triangle is 180°.
.. ∠A +∠B +∠C = 180
.. 65 +(3x -10) +(2x) = 180 . . . . . . substitute the given information
.. 55 +5x = 180 . . . . . . . . . . . . . . . collect terms
.. 11 +x = 36 . . . . . . . . . . . . . . . . . . divide by 5*
.. x = 25 . . . . . . . . . . . . . . . . . . . . . subtract 11

∠B = 3x -10 = 3*25 -10 = 65

∠C = 2x = 2*25 = 50
_____
In summary
.. x = 25
.. ∠B = 65°
.. ∠C = 50°

___
* You could subtract 55, then divide by 5. You get the same answer either way. I find it easier to work with smaller numbers, and dividing all these values by 5 is fairly easy.

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Semenov [28]

Answer:

Solution,

<ABE+<ABC=180

<ABE=180-97

<ABE=83°

<ABC=<ACB=83°

<ABC+<ACB+<CAB=180

<CAB=180-83-83

<CAB=14

<DAC+<CAB=180

<DAC+14=180

<DAC=180-14

<DAC(X)=166°

Hope this helps...

Good luck on your assignment...

7 0

4 years ago

8.25 equals how many ones?

prohojiy [21]

Answer:

i think 20.95 centimetres

3 0

4 years ago

Find the slope and slope equation.

Anna007 [38]

For this case we have that, by definition, the slope of a line is given by:

$m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}}$

Where:

$(x_ {1}, y_ {1})\\(x_ {2}, y_ {2})$

They are points through which the line passes.

According to the figure we have that the line goes through the following points:

$(x_ {1}, y_ {1}) :( 2, -4)\\(x_ {2}, y_ {2}) :( 0, -3)$

Substituting in the equation we have:

$m = \frac {-3 - (- 4)} {0-2} = \frac {-3 + 4} {- 2} = \frac {1} {- 2} = - \frac {1} {2 }$

Thus, the slope of the line is: $m = - \frac {1} {2}$

Answer:

$m = - \frac {1} {2}$

8 0

3 years ago

Read 2 more answers

Solve by substitution.

Nimfa-mama [501]

// Solve equation [1] for the variable x

[1] x = 2y - 1

// Plug this in for variable x in equation [2]

[2] 2•(2y-1) - 5y = -3
[2] - y = -1
// Solve equation [2] for the variable y

[2] y = 1
// By now we know this much :

x = 2y-1
y = 1
// Use the y value to solve for x

x = 2(1)-1 = 1

5 0

3 years ago

Hello, I need help with question ASAP please

Yuliya22 [10]

Do 180 and subtract 171 so 9

8 0

3 years ago

Read 2 more answers