Maths-

General

Easy

Question

# Compare β π
ππ and β πππ

## The correct answer is: 10 digres

- Step by step explanation:Β
- Step 1:
- Find β ROQ:

- Align the protractor with the ray OR on 90
^{o} as shown above.Β
- Start reading the outer scale from the 90Β°.
- Step 2:
- From the figure we can see that ray OR is aligned on mark 90
^{o}. And ray OQ is aligned on mark 130^{o}.

Hence, the measure of β ROQ = (130^{o} - 90^{o}).

Β β ROQ = 40^{o}.

- Step 3:
- Find β POQ:
- Align the protractor with the ray OP on 0
^{o} as shown above.Β
- Start reading the inner scale from the 0Β°.
- Step 4:
- From the figure we can see that ray OP is aligned on mark 0
^{o}. And ray OQ is aligned on mark 50^{o}.

Hence, the measure of β POQ = 50^{o}.

β POQ = 50^{o}.

- Step 5:
- Compare β POQ andΒ β ROQ

Hence, β POQ is greater thanΒ β ROQ by 10^{o}.

- Final Answer:

Hence, β POQ is greater than β ROQ by 10^{o}.

- Step 1:
- Find β ROQ:

^{o}as shown above.Β^{o}. And ray OQ is aligned on mark 130^{o}.^{o}.

- Align the protractor with the ray OP on 0
^{o}as shown above.Β - Start reading the inner scale from the 0Β°.
- Step 4:
- From the figure we can see that ray OP is aligned on mark 0
^{o}. And ray OQ is aligned on mark 50^{o}.

^{o}.

### Related Questions to study

Maths-

### Fun- time Amusement park charges Β for admission and then Β per ride. Rivers edge park charges Β for admission and then Β per ride. For What number of rides is the cost the same at both parks?

Ans :- The number of rides at which the cost the same at both parks is 24.

Explanation :-

Given the admission fee and per ride cost of both the parks .

Let n be the no.of rides at which the costs are the same at both parks.

Step 1:- find the total cost for n rides at Fun- time Amusement park.

$12.50 for admission and then $0.75 per ride

So, total cost = admission fee + no.of rides Γ cost per ride.

Total cost at Fun- time Amusement park = $12.50 + n($0.75)

Step 2:- find the total cost for n rides at Rivers edge park.

$18.50 for admission and then $0.50 per ride

So, total cost = admission fee + no.of rides Γ cost per ride.

Total cost at Rivers edge parkΒ = $18.50 + n($0.50)

Step 3:- Equate both the costs to find n

$18.50 + n($0.50) =Β $12.50 + n($0.75)

$18.50 -Β $12.50 = n($0.75) - n($0.50)

$6 = n($0.25)

n = 6 Γ 4

β΄n = 24

β΄The number of rides at which the cost the same at both parks is 24.

Explanation :-

Given the admission fee and per ride cost of both the parks .

Let n be the no.of rides at which the costs are the same at both parks.

Step 1:- find the total cost for n rides at Fun- time Amusement park.

$12.50 for admission and then $0.75 per ride

So, total cost = admission fee + no.of rides Γ cost per ride.

Total cost at Fun- time Amusement park = $12.50 + n($0.75)

Step 2:- find the total cost for n rides at Rivers edge park.

$18.50 for admission and then $0.50 per ride

So, total cost = admission fee + no.of rides Γ cost per ride.

Total cost at Rivers edge parkΒ = $18.50 + n($0.50)

Step 3:- Equate both the costs to find n

$18.50 + n($0.50) =Β $12.50 + n($0.75)

$18.50 -Β $12.50 = n($0.75) - n($0.50)

$6 = n($0.25)

n = 6 Γ 4

β΄n = 24

β΄The number of rides at which the cost the same at both parks is 24.

### Fun- time Amusement park charges Β for admission and then Β per ride. Rivers edge park charges Β for admission and then Β per ride. For What number of rides is the cost the same at both parks?

Maths-General

Ans :- The number of rides at which the cost the same at both parks is 24.

Explanation :-

Given the admission fee and per ride cost of both the parks .

Let n be the no.of rides at which the costs are the same at both parks.

Step 1:- find the total cost for n rides at Fun- time Amusement park.

$12.50 for admission and then $0.75 per ride

So, total cost = admission fee + no.of rides Γ cost per ride.

Total cost at Fun- time Amusement park = $12.50 + n($0.75)

Step 2:- find the total cost for n rides at Rivers edge park.

$18.50 for admission and then $0.50 per ride

So, total cost = admission fee + no.of rides Γ cost per ride.

Total cost at Rivers edge parkΒ = $18.50 + n($0.50)

Step 3:- Equate both the costs to find n

$18.50 + n($0.50) =Β $12.50 + n($0.75)

$18.50 -Β $12.50 = n($0.75) - n($0.50)

$6 = n($0.25)

n = 6 Γ 4

β΄n = 24

β΄The number of rides at which the cost the same at both parks is 24.

Explanation :-

Given the admission fee and per ride cost of both the parks .

Let n be the no.of rides at which the costs are the same at both parks.

Step 1:- find the total cost for n rides at Fun- time Amusement park.

$12.50 for admission and then $0.75 per ride

So, total cost = admission fee + no.of rides Γ cost per ride.

Total cost at Fun- time Amusement park = $12.50 + n($0.75)

Step 2:- find the total cost for n rides at Rivers edge park.

$18.50 for admission and then $0.50 per ride

So, total cost = admission fee + no.of rides Γ cost per ride.

Total cost at Rivers edge parkΒ = $18.50 + n($0.50)

Step 3:- Equate both the costs to find n

$18.50 + n($0.50) =Β $12.50 + n($0.75)

$18.50 -Β $12.50 = n($0.75) - n($0.50)

$6 = n($0.25)

n = 6 Γ 4

β΄n = 24

β΄The number of rides at which the cost the same at both parks is 24.

Maths-

### Identify the pair of congruent angles formed by the bannister

lines.

SOLUTION:

HINT: Use the property of parallel lines angle rules.

Complete step by step solution:

Here we have,

(vertically opposite angles)

(vertically opposite angles)

(corresponding angles)

(corresponding angles)

Β (co-interior angles)

Β (co-interior angles)

Β (alternate interior angles)

Β (alternate interior angles)

Β (alternate exterior angles)

(alternate exterior angles)

(corresponding angles)

(corresponding angles)

(vertically opposite angles)

(vertically opposite angles)

HINT: Use the property of parallel lines angle rules.

Complete step by step solution:

Here we have,

(vertically opposite angles)

(vertically opposite angles)

(corresponding angles)

(corresponding angles)

Β (co-interior angles)

Β (co-interior angles)

Β (alternate interior angles)

Β (alternate interior angles)

Β (alternate exterior angles)

(alternate exterior angles)

(corresponding angles)

(corresponding angles)

(vertically opposite angles)

(vertically opposite angles)

### Identify the pair of congruent angles formed by the bannister

lines.

Maths-General

SOLUTION:

HINT: Use the property of parallel lines angle rules.

Complete step by step solution:

Here we have,

(vertically opposite angles)

(vertically opposite angles)

(corresponding angles)

(corresponding angles)

Β (co-interior angles)

Β (co-interior angles)

Β (alternate interior angles)

Β (alternate interior angles)

Β (alternate exterior angles)

(alternate exterior angles)

(corresponding angles)

(corresponding angles)

(vertically opposite angles)

(vertically opposite angles)

HINT: Use the property of parallel lines angle rules.

Complete step by step solution:

Here we have,

(vertically opposite angles)

(vertically opposite angles)

(corresponding angles)

(corresponding angles)

Β (co-interior angles)

Β (co-interior angles)

Β (alternate interior angles)

Β (alternate interior angles)

Β (alternate exterior angles)

(alternate exterior angles)

(corresponding angles)

(corresponding angles)

(vertically opposite angles)

(vertically opposite angles)

Maths-

### A Line passes through the points (4,19) and (9,24). Write a linear function in the form y = mx + b for this line.

The two given points are (4 , 19) and (9 , 24).

Using two β point form, equation of the line is

(y β y

Using two β point form, equation of the line is

(y β y

_{1}) = m (x β x_{1})Β whereΒ m =Β m =Β

Β Β Β =Β =Β 1

Now,Β equation of the line is (y β y_{1}) = m (x β x_{1})

(y β 19) = 1(x β 4)

y β 19Β =Β x β 4

y =Β x β 4 + 19

y = x + 15

### A Line passes through the points (4,19) and (9,24). Write a linear function in the form y = mx + b for this line.

Maths-General

The two given points are (4 , 19) and (9 , 24).

Using two β point form, equation of the line is

(y β y

Using two β point form, equation of the line is

(y β y

_{1}) = m (x β x_{1})Β whereΒ m =Β m =Β

Β Β Β =Β =Β 1

Now,Β equation of the line is (y β y_{1}) = m (x β x_{1})

(y β 19) = 1(x β 4)

y β 19Β =Β x β 4

y =Β x β 4 + 19

y = x + 15

Maths-

### Use the diagram to find the measure of the indicated angle. Then classify the angle.

iii) β πππ

- Step by step explanation:Β
- Step 1:

- Align the protractor with the ray PO as shown above.Β
- Start reading the outer scale from the 0Β°.
- Step 2:
- From the figure we can see that the ray OS is aligned on mark 180
^{o}.

^{o}.

β POS = 180^{o}.

- Final Answer:

^{o}, is straight angle.