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Mkey [24]
3 years ago
6

Determine which characteristics are true of vertical angles.

Mathematics
1 answer:
Hoochie [10]3 years ago
4 0

Answer:

First option: Yes.

Second option: Yes.

Third option: No.

Fourth option: Yes.

Step-by-step explanation:

By definition, vertical angles are formed when two lines intersect.

They share a common vertex and they are non-adjacents angles (adjacent angles are those  have a common side and a common vertex. They are supplementary, which means that their sum is 180°); therefore they are opposite to each other.

Vertical angles are congruent, which means that they have equal measure.

The sum of the two pairs of vertical angles formed by the intersection of the lines, is 360°.

 Observe the intersecting lines"A" and "B" in the picture attached. Notice that four angles are formed.

Based on the characteristics of vertical angles, we can conclude that:

\angle1 and \angle3 are vertical angles.

\angle2 and \angle4 are vertical angles.

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It takes 1 hour (t) to fill the water tank of volume (V) 750 m3. Identify the dependent and the independent variables.
Natalija [7]

Answer:

The time t is the independent variable while the volume V is the dependent variable

Step-by-step explanation:

A variable is a parameter that changes.

We have two types namely dependent and independent variables.

A dependent variable is a variable which its value needs to be determined based on the value of another variable while and independent variable is a variable which its value independent of other parameters.

In our question, It takes 1 hour (t) to fill the water tank of volume (V) 750 m3.

The volume of the tank V changes as time changes. So the volume of the tank V is dependent on time, t.  

So V is proportional to t

Since the volume of the tank is the variable that needs to be determined based on another variable-which is time,t- it is the dependent variable, while the time,t is the independent variable since its value is not determined based on other parameters.

4 0
2 years ago
Is X-1 a factor of x^5-1?
Musya8 [376]

Answer: No

Explanation:

According to factor theorem, if f(x)=0 then x is a factor of the given function or equation.

As x-1 is a factor

We equate x-1=0

x=1

Substituting in x^5-1, we have 1^5-1 =1-1=0.

Hence, it's a factor.

When coming to x^5+1, it would become 1^5+1=1+1=2

So x-1 isn't a factor of x^5+1.

4 0
2 years ago
<img src="https://tex.z-dn.net/?f=f%28x%29%3D16t%5E2%2B32t" id="TexFormula1" title="f(x)=16t^2+32t" alt="f(x)=16t^2+32t" align="
Nataly_w [17]

Answer:

- time = 1second

- maximum height = 16m

Step-by-step explanation:

Given the height of a pumpkin t seconds after it is launched from a catapult modelled by the equation

f(t)=-16t²+32t... (1)

The pumpkin reaches its maximum height when the velocity is zero.

Velocity = {d(f(x)}/dt = -32t+32

Since v = 0m/s (at maximum height)

-32t+32 = 0

-32t = -32

t = -32/-32

t = 1sec

The pumpkin reaches its maximum height after 1second.

Maximum height of the pumpkin is gotten by substituting t = 1sec into equation (1)

f(1) = -16(1)²+32(1)

f(1) = -16+32

f(1) = 16m

The maximum height of the pumpkin is 16m

6 0
3 years ago
A rectangular tile has a decorative pattern of 3 equal-sized squares, each of which is divided into 2 same-sized triangles. If M
Andrew [12]
72 triangles will be displayed I believe....

All you do is multiply 2 times 36 and you get 72. Because there are 2 triangles in one square, so 2*36.

Hope this Helps!
8 0
3 years ago
Read 2 more answers
Help finding angles 4, 3 ,2 ,5... Picture attached this time
Korvikt [17]

Angle 3 = 180° - 70°

Angle 3 = 110°

Angle 2 = 180° - (110° + 36°)

Angle 2 = 180° - 146°

Angle 2 = 34°

Angle 4 = 180° - 70°

Angle 4 = 110°

Angle 5 = 180° - (110° + 62°)

Angle 5 = 180° - 172°

Angle 5 = 8°

I hope this helps.
3 0
3 years ago
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