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2 years ago

Determine whether the following conjecture is true or false. Give a counterexample if the answer is false.

1 answer:

4 0

This conjecture is false, A and C don't have to be complementary angles.

Let Angle A be 100 and Angle B be 80 degrees. They are supplementary (sum of 180).
Let Angle C be 100 and Angle B is still 80 degrees. They are supplementary.

However, Angle A and Angle C are not complementary (sum of 90).

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Blababa [14]

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2 years ago

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3 years ago

The sum of the measures of the angles of a triangle is 180 degrees°. The smallest angle of the triangle has a measure one fourth

vivado [14]

Answer:

8°,32°,140°.

Step-by-step explanation:

Sum of measure of angles of a triangle is 180°

Let the second smallest angle be x°

Smallest angle= $\frac{1}{4}$ x

Largest angle= 5 x- 20°

A T Q

x+ $\frac{1}{4}$ x + 5x-20= 180°

$\frac{4x+x+20x}{4}$ = 180+ 20

$\frac{25x}{4}$ = 200

x= $\frac{200}{25}$ × 4

x= 32°'

Smallest angle is 32°

Hence, the smallest angle is $\frac{1}{4}$ x= $\frac{1}{4}$ ×32°= 8°

Largest angle is 5x- 20= 5×32- 20= 140°

6 0

3 years ago

Which describes the slope of this line?

sergeinik [125]

I take the points that you gave. Let named A(0,-3) and B(2,1)

The slope coefficient is S= (yb-ya)/(xb-xa)

S= (1-(-3))/(2-0) => S= (1+3)/2 = 4/2= +2 => S= +2

The correct answer is positive slope
Good luck!!!

7 0

3 years ago

Please answer this quick for me

nlexa [21]

Answer:

16/20

Step-by-step explanation:

We can write this as a proportion

4 x

----- = ----------

5 y

Using cross products

4y = 5x

We know that x+y = 36

We have 2 equations and 2 unknowns.

4y = 5x

x+y =36

Divide by first equation by 4

y = 5/4 x

substitute this into the 2nd equation

x + 5/4x = 36

Getting a common denominator

4/4x + 5/4 x = 36

Combining like terms

9/4 x =36

Multiply each side by 4/9 to isolate x

4/9 * 9/4x = 4/9*36

x = 16

Now we need to find y

y = 5/4x

y = 5/4 (16)

y= 20

The fraction is x/y

16/20

8 0

3 years ago