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salantis [7]
3 years ago
7

Find one counter example to show that the conjecture is false. angle 1 and angle 2 are​ supplementary, so one of the angles is a

cute.
Choose the best counter example for the conjecture.
A. m ∠ 1 = 40° and m ∠ 2 = 144°B. m ∠ 1 = 90° and m ∠ 2 = 90°C. m ∠ 1 = 112° and m ∠ 2 = 68° D. m ∠ 1 = 33° and m ∠ 2 = 57°
Mathematics
1 answer:
Mrac [35]3 years ago
4 0

Answer:

B. m ∠ 1 = 90° and m ∠ 2 = 90°

Step-by-step explanation:

For most situations, the conjecture would probably be true, but there is one exception that makes this statement false.

When two right angles are supplementary, none of them is acute.

For an angle to be acute it needs to be lesser than 90°, and for a pair of angles to be supplementary they should add up to exactly 180°.

With a pair of right angles (90° each), their sum adds up to 180° but neither of them are acute.

Therefore, the answer is B. m ∠ 1 = 90° and m ∠ 2 = 90°

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In ∆XYZ, m∠X = 152, y = 15, and z = 19. Find side x and the measure of angle Y to the nearest tenth
solong [7]

The measure of the side x is approximately 33 and the measure of angle Y is approximately 12.321°.

<h3>How to find a missing angle in a triangle by law of sine and law of cosine</h3>

In this problem we must apply the law of cosine and the law of sine to determine the angle Y:

<h3>Law of cosine</h3>

x = \sqrt{y^{2}+z^{2}-2\cdot y\cdot z\cdot \cos X}

x = \sqrt{15^{2}+19^{2}-2\cdot (15)\cdot (19)\cdot \cos 152^{\circ}}

x \approx 33

<h3>Law of sine</h3>

\frac{\sin Y}{y} = \frac{\sin X}{x}

Y = \sin^{-1}\left(\frac{y}{x}\cdot \sin X \right)

Y = \sin^{-1}\left(\frac{15}{33}\cdot \sin 152^{\circ} \right)

Y \approx 12.321^{\circ}

The measure of the side x is approximately 33 and the measure of angle Y is approximately 12.321°. \blacksquare

To learn more on triangles, we kindly invite to check this verified question: brainly.com/question/25813512

7 0
2 years ago
Write the equation of the line that passes through (6, 1), m = -3
JulijaS [17]

Answer:

y = - 3x + 19

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - 3, thus

y = - 3x + c ← is the partial equation

To find c substitute (6, 1) into the partial equation

1 = - 18 + c ⇒ c = 1 + 18 = 19

y = - 3x + 19 ← equation of line

8 0
3 years ago
Last question for my homework
tensa zangetsu [6.8K]

Answer:

A total of 15 cups of punch.

Step-by-step explanation:

20% ( or 0.20) of the punch is pineapple juice so if you have 3 cups of this juice, by proportion, you can make  3 / 0.20 =  15 cups

6 0
3 years ago
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HELP! 50 POINTS, PLUS 25+ IF YOUR ANSWER IS THE BEST!
stich3 [128]

Answer:

Step-by-step explanation:

1. rotation 90 degrees clockwise

2.reflection over y axis

3.rotation 180

4.reflection over x axis

5.rotation 90 degrees counter clockwise

7 0
3 years ago
Simplify. (-5.12) - (-4.7) (7.021)
aksik [14]
First, you should do the product first:
(-4.7)* (7.021)= -32.9987

Then, let's do the subtraction:
(-5.12)- (-32.9987)
= (-5.12)+ 32.9987
= 27.8787

Final answer: 27.8787

Hope this would help~
7 0
3 years ago
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