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2 years ago

Classify each pair of numbered angles.

Mathematics

2 answers:

marta [7]2 years ago

4 0

Answer:

Angles 1 & 2 are vertical angles, and angles 3 & 4 are adjacent angles.

Step-by-step explanation:

Vertical angles are angles across from each other. Adjacent angles are always beside each other.

It's not a linear pair because a linear pair is adjacent angles that add up to 180°, which is not true for your 2 angles in the picture. Hope this helps!!!

Ksju [112]2 years ago

3 0

Answer:

Angles 1 & 2 are vertical angles, and angles 3 & 4 are adjacent angles.

Step-by-step explanation:

Vertical angles are angles across from each other. Adjacent angles are always beside each other.

It's not a linear pair because a linear pair is adjacent angles that add up to 180°, which is not true for your 2 angles in the picture. Hope this helps!!!

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I have to turn this in tonight please help :(

Leni [432]

Answer:

angle a is 116 degrees

Step-by-step explanation:

ok so first we have to make everything equal to 180 because every triangle is 180 degrees so it would be written like this:

(14x + 4) + (5x - 1) + (2x + 9) = 180

Then, we solve for x and x equals 8

After this we plug 8 back into the angle so it would be written like this:

14(8) + 4

This equals 116 degrees.

3 0

2 years ago

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If θ is an angle in standard position whose terminal side passes through (3, 4), evaluate tan(1/2)θ.

aleksandr82 [10.1K]

The tangent half angle formula, one of several, is

$\tan \dfrac a 2 = \dfrac{1 - \cos a}{\sin a}$

We have θ is opposite 4 in the 3/4/5 right triangle so

$\cos \theta = \dfrac{3}{5}$

$\sin \theta = \dfrac{4}{5}$

$\tan \dfrac{\theta}{2} = \dfrac{1 - 3/5}{4/5} = \dfrac{5-3}{4}=\dfrac{1}{2}$

Answer: 1/2

This is actually pretty deep. It says half the big acute angle in the 3/4/5 triangle is the small diagonal angle of the 1x2 rectangle. Similarly, the small acute angle in 3/4/5 triangle is twice the small diagonal angle of the 1x3 rectangle.

7 0

3 years ago

Mike hiked to a lake in 5.5 hours at an average rate of 2 1/5 miles per hour. Pedro hiked the same distance at a rate of 2 3/5 m

Leni [432]

Answer:

3.5 hours*3.25 mph=11.375 miles

11.375 miles/3.45 mi/hr=3.297 hours or 3.30 hours, about 12 minutes faster.

Step-by-step explanation:

6 0

3 years ago

Please help me I need the answer and work !!!!

nika2105 [10]

X=1, Y=-2. Heres your answer. It should be C

8 0

2 years ago

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Rectangle STUV is shown on a coordinate plane. Rectangle STUV with vertices S at negative 7 comma 6, T at negative 2 comma 6, U

rusak2 [61]

The coordinate of the point T after the given transformations is; T''(-2, -4)

<h3>How to carry out Translation Transformations?</h3>

We are given the coordinates of the rectangle STUV as;

S(-7, 6)

T(-2, 6)

U(-2, 1)

V(-7, 1)

Now, we are told that all these coordinates are translated using the transformation rule; (x, y) → (x − 2, y − 4)

Thus, the new coordinates using this transformation rule are;

S'(-9, 2)

T'(-4, 2)

U'(-4, -3)

V'(-9, -3)

Now, we are told that these new points are rotated 90° counterclockwise and as such the new coordinates formed will follow the pattern (x, y) → (-y, x).

Thus, our final coordinates are;

S''(-2, -9)

T''(-2, -4)

U''(3, -4)

V''(3, -9)

Thus, the coordinate of the point T after the given transformations is; T''(-2, -4)

Read more about Translation Transformation at; brainly.com/question/4289712

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2 years ago

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