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Helga [31]
3 years ago
11

Describe two ways you can use the table to write a proportion

Mathematics
2 answers:
Nana76 [90]3 years ago
8 0

Answer:

The two ways to represent proportion using table is

    1.→ If difference between two y value, and two x values, represented as points in two dimensional plane yields a constant ratio, then it will be a Proportion.

For example

 x       1     3    5      7      9

 y       2    4     6     8      10

\frac{4-2}{3-1}=\frac{6-4}{5-3}=\frac{8-6}{7-5}=\frac{10-8}{9-7}=1

2.→If points are represented on a line, the ratio of two consecutive points produces a constant ratio,then we say that it is in Proportion.

2, 4, 8,16,32.

\rightarrow \frac{4}{2}=\frac{8}{4}=\frac{16}{8}=\frac{32}{16}=2

ale4655 [162]3 years ago
4 0
You can use a table like this x  -1 0  1  2
                                              y   0  2  4  6
and a T table   
                         
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kicyunya [14]

Answer:

12.5%

Step-by-step explanation:

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6 0
3 years ago
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(Prove) The angle subtended by an arc at the center is double the angle subtended by it at any
Pavlova-9 [17]

Answer:

The angle subtended by an arc at the center is double the angle subtended by it at any  point on the remaining part of the circle.

Step-by-step explanation:

Let us consider the image attached.

Center of circle be O.

Arc AB subtends the angle \angle APB on the circle and \angle AOB on the center of the circle.

To prove:

\angle AOB = 2 \times \angle APB

Proof:

In \triangle PAO: AO and PO are radius of the circles so AO = PO

And angles opposite to equal sides of a triangle are also equal in a triangle.

So, \angle PAO = \angle OPA

Using external angle property, that external angle is equal to sum of two opposite internal angles of a triangle.

\angle AOQ = \angle PAO + \angle OPA=2 \times \angle APO .... (1)

Similarly,

In \triangle PBO: BO and PO are radius of the circles so BO = PO

And angles opposite to equal sides of a triangle are also equal in a triangle.

So, \angle PBO = \angle OPB

Using external angle property, that external angle is equal to sum of two opposite internal angles of a triangle.

\angle BOQ = \angle PBO + \angle OPB=2 \times \angle BPO .... (2)

Now, we can see that:

\angle AOB = \angle AOQ+\angle BOQ

Using equations (1) and (2):

\angle AOB = 2\angle APO+2\angle BPO\\\angle AOB = 2(\angle APO+\angle BPO)\\\bold{\angle AOB = 2(\angle APB)}

Hence, proved.

4 0
3 years ago
How many litres of pure antifreeze should be added to 5 litres of 30% antifreeze solution to create a 65% antifreeze solution?
sweet [91]
0.65% of new amount=old amount of 30% plus amount of new
0.65(x+5)=5(0.3)+x
solve
distribute
0.65x+3.25=1.5+x
minus 1.5 from both sides
0.65x+1.75=x
minus 0.65x both sides
1.75=0.35x
divide both sides by 0.35
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5 liters of pure should be added
4 0
3 years ago
Solve the problem shown above^^
malfutka [58]

Answer:

Step-by-step explanation:

Since the lengths of the shelves are given in cm and the answer is to be expressed in cm, then let's convert the length of the whole board from 2.5 m to cm. Since there are 100 cm in a m, then multiply 2.5 by 100 to get 250 cm. Now let's start with the expressions for the shelves. The lengths of all the shelves are based on the length of the first shelf. You can usually tell which object is the main one because it is mentioned the most number of times. The first shelf is mentioned 3 times so that is the main shelf that the measurements of all the other shelves are based upon. Let's call the first shelf x. The second shelf is 18 cm longer than twice the length of the first so the second shelf is 2x + 18.

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5x = 240 so

x = 48. The first shelf is 48 cm long. But we need the length of the second shelf. The expression for the second shelf is 2x + 18, so 2(48) + 18 = 114 cm.

8 0
3 years ago
Kwame rode bicycle for a distance of xkm and walked for another 1/2 hour at a rate of 6km/hour. If Kwame covered a total distanc
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1/2 hour at 6 km/ hour = 3 km.

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7 0
3 years ago
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