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3 years ago

Traveling 315 feet in seven minutes. Traveling per minute? how far would it be in 10 minutes?

Mathematics

2 answers:

kotegsom [21]3 years ago

8 0

Answer:

45 per minute. 450 in 10 minutes.

Step-by-step explanation:

Distance/ Time

315/ 7 = 45

Unit rate x how far you need to go

45 x 10 = 450

Vadim26 [7]3 years ago

4 0

Answer:

450 ft

Step-by-step explanation:

315/7 = 45 (eveyr minute 45 ft)

10x45 = 450

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Prove that if two lines intersect each other then the vertically opposite angles are equal.

Svetradugi [14.3K]

If two lines intersect each other then the vertically opposite angles are equal.

A line is a one-dimensional figure, which has length but no width. A line is made of a set of points which is extended in opposite directions infinitely.

To prove, two lines intersect each other then the vertically opposite angles are equal.

Suppose there are two lines AB and CD intersecting at a point O.

So, the angles a and c ; b and d are vertically opposite.

Now taking line AB,

Since sum of angles made on a straight line is 180°.

Thus ∠a + ∠b = 180° ...(i)

Similarly taking line CD,

∠b + ∠c = 180° ....(ii)

Comparing eq (i) and (ii) we get,

∠a + ∠b = ∠b + ∠c

Therefore, we get

∠a = ∠c

which are vertically opposite angles.

Taking line CD,

Since sum of angles made on a straight line is 180°.

Thus ∠c + ∠b = 180° ...(iii)

Similarly taking line CD,

∠c + ∠d = 180° ....(iv)

Comparing eq (iii) and (iv) we get,

∠c + ∠b = ∠c + ∠d

Therefore, we get

∠b = ∠d

which are vertically opposite angles.

Thus, if two lines intersect each other then the vertically opposite angles are equal.

To learn more about angles:

brainly.com/question/11337367

#SPJ4

7 0

2 years ago

A tree casts a 26 foot shadow. A boy standing nearby casts a 12 foot shadow, forming similar triangles. His height is 4.5 feet.

navik [9.2K]

The tree would be 9.75 feet tall.

7 0

4 years ago

What's equivalent to 2/3 with a denominator of 15

blagie [28]

10/15 is the correct answer

7 0

4 years ago

Please tell me the correct answer

daser333 [38]

Answer:

10.25m/s is the speed of helicopter.

Step-by-step explanation:

speed =d/t

=24600/2400

=10.25m/s

5 0

3 years ago

A steel company is making flat rectangular frames as a part of a new product they are launching Each frame will be cut out of a

Basile [38]

Answer:

The problem has no real solution, because the area of inside of the frame is bigger than the total area of the frame.

Step-by-step explanation:

Any way here is the mathematical explanation/solve to this statement.

As show in the graphic, there is a representation of the situation stated in the problem. So in order to calculate the area we have the next equation as a function of x.

Area:

$A=b*h= (6+2x)(11+2x)\\\\A=28=66+12x+22x+4x^2}\\\\Simplifing\\\\4x^2+34x+38=0\\\\$

Solving the equation to find the roots (values of x):

$x=\frac{-b+- \sqrt{b^2-4ac} }{2a}=\frac{-34+-\sqrt{546} }{8} \\\\solving\\\\x=-7.2\\\\x=-1.3\\$

So mathematically there is no real answer, since x is a width must be positive number. And practically the outer area must be bigger than the inner area, and the inner area is given by 6 times 11, or 66 $cm^2$ .

8 0

3 years ago