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liberstina [14]
4 years ago
15

Given: ∠2 ≅ ∠4 Which lines must be parallel?

Mathematics
2 answers:
leva [86]4 years ago
6 0

Answer:

B) p and q

Step-by-step explanation:

If ∠2 ≅ ∠4 then line p and line q must be parallel. ∠2 and ∠4 are corresponding angles, and corresponding angles are congruent.

Kipish [7]4 years ago
4 0

Answer:

p and q                                                         Option B

Step-by-step explanation:

Here line p and q are given

Line r and s are also given

line p & q are transversal lines for line r and s.

Given that,

Angle 2 is equal to angle 4.

∠2 = ∠4.

both angles are corresponding angles.

So, lines p and q are parallel.

That's the final answer.

I hope it will helps you.

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A cube is packed with decorative pebbles. If the cube has a side length of 2 inches, and each pebble weighs on average 0.5 lb pe
kow [346]

We can solve this problem by first solving for the total volume of the cube. The formula for volume of cube is given as:

V cube = s^3

Where s is the length of one side which is equivalent to 2 inches. Therefore:

V cube = (2 inches)^3

V cube = 8 cubic inch

 

Assuming that all the pebble fills the cube without any spaces, then the total weight of the pebbles in the cube would simply be:

Total weight = 0.5 lb per cubic inch * 8 cubic inch

Total weight = 4 lb

 

Therefore, the total weight of the pebbles in the cube is <u>4 lbs</u>.

5 0
3 years ago
The cylinder is 20cm high and radius of its circular face is 3cm What is the total perimeter and area of the whole net?
trasher [3.6K]

Answer: 52\ cm,\ 176.55\ cm^2

Step-by-step explanation:

Given

The cylinder is 20 cm high

The radius of the cylinder is r=3\ cm

The total area of the figure is the sum of the rectangle and two circles

\Rightarrow \text{Perimeter P=}2[h+2r]\\\Rightarrow P=2[20+6]\\\Rightarrow P=52\ cm

The total area of the figure is

\Rightarrow \text{Area A=}h\times 2r+2\pi r^2\\\Rightarrow A=20\times 6+2\times \pi \times 3^2\\\Rightarrow A=120+18\pi\\\Rightarrow A=176.55\ cm^2

3 0
3 years ago
Over which interval is the graph of f(x) = one-halfx2 + 5x + 6 increasing?
kaheart [24]

Answer:

\large\boxed{x\in[-5,\ \infty)}

Step-by-step explanation:

f(x)=\dfrac{1}{2}x^2+5x+6\\\\\text{The coeficient of}\ x^2\ \text{is the positive number. Therefore the parabola is op}\text{en up}.\\\\\text{If a parabola op}\text{en up, then the graph increasing in interval}\ (h,\ \infty),\\\text{and decreasing in interval}\ (-\infty,\ h).\ \text{Where}\ h\ \text{is a first coordinate of a vertex.}\\\\\text{For}\ y=ax^2+bx+c,\ h=\dfrac{-b}{2a}.\\\\\text{We have}\ a=\dfrac{1}{2}\ \text{and}\ b=5.\ \text{Substitute:}\\\\h=\dfrac{-5}{2\left(\frac{1}{2}\right)}=-\cdot\dfrac{5}{1}=-5.

8 0
3 years ago
Read 2 more answers
State the domain and the range of each relation. Then determine whether the relation is a function.
IrinaVladis [17]

Answer:

Domain:{-6,3,4}

Range:{-2,5,6,23}

The relation is not a function.

Step-by-step explanation:

By definition, a relation is a function if each input value has only one output value.

Given the relation:

(4,23)

(3,-2)

(-6,5)

(4,6)

The domain is the set of the x-coordinates of each ordered pair (You do not need to write 4 twice):

Domain:{-6,3,4}

The range is the set of the y-coordinates of each ordered pair :

 Range:{-2,5,6,23}

Since the input value 4 has two different output values (23 and 6), the relation is not a function.

8 0
3 years ago
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What is the area of the polygon in square units?<br> Correct answer gets brainliest
givi [52]

Answer:

72

Step-by-step explanation:

7 0
3 years ago
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