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frez [133]
3 years ago
8

In the figure shown line l and m are parallel. Find the measure of each numbered angles

Mathematics
1 answer:
Elis [28]3 years ago
3 0
Angle 1= 180-111 =69 degree
angle 2=1 so ,69 degree(vertically oppsite angle)
angle 3= 180-111= 69 degrees(corresponding angle to 111 degree)
angle angle 6 =108 (vertically opposite angle)
angle 4 =108(corresponding angle)
angle 5=180-108 =72 (alternate angle)
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Melissa buys 212 pounds of salmon and 114 pounds of swordfish. She pays a total of $31.25, and the swordfish costs $0.20 per pou
eimsori [14]

Answer:

C. $16.60

Step-by-step explanation:

Let the cost per pound of salmon be represented by x

The cost per pound of swordfish be represented by y

Melissa buys 2 1/2 pounds of salmon and 1 1/4 pounds of swordfish. She pays a total of $31.25

2.5 × x + 1.25× y = $31.25

2.5x + 1.25y = 31.25

The swordfish costs $0.20 per pound less than the salmon.

y = x - 0.20

Hence, we substitute

2.5x + 1.25y = 31.25

2.5y + 1.25(x - 0.20) = 31.25

2.5y + 1.25x - 0.25 = 31.25

2.5x + 1.25x = 31.25 + 0.25

3.75x = 31.5

x = 31.5/3.75

x = $8.4

The cost per pound of salmon be represented by x = $8.4

y = x - 0.20

y = 8.4 - 0.20

y = $8.2

The cost per pound of swordfish be represented by y = $8.2

The cost of a pound of salmon and sword fish

= $8.4 + $8.2

=$16.60

3 0
3 years ago
The linear pair postulate states that if two angles form a linear pair, then they are __________ angles.
Nataly_w [17]
Answer:  "supplementary" .
________________________________________________
4 0
4 years ago
Evaluate f(-12) given f(x) = -21x - 12
frozen [14]

Answer:

The answer for the given function is f( -12 ) = 240.

Step-by-step explanation:

Given:

f(x)=-21x-12

To Find :

F ( -12 ) = ?

Solution:

Function:

  1. A function is like a machine that gives an output for a given input.
  2. A function has an independent variable which is called the input of the function.
  3. The output for a given input is called the dependent variable.

For Example

f ( x ) = x + 3

x = independent variable

f ( x ) = Output for a given input

Here we have

f(x)=-21x-12\\Put\ x=-21\\\therefore f(-12) = -21\times -12 - 12\\\therefore f(-12) = 252 - 12\\\therefore f(-12) = 240

Therefore f(-12) = 240

8 0
3 years ago
Read 2 more answers
The ratio of girls to boys on the Husky
NemiM [27]

Answer:

63

Step-by-step explanation:

2+3=5

105÷5=21

21×3=63

4 0
3 years ago
I already did 1,2 I just need help with three I’ll give u the best rating if u can answer it ❤️
nordsb [41]

Answer:

125in³

Step-by-step explanation:

A box that would perfectly fit the bowling ball will be a cube shape.

The box will have the dimensions 5in by 5in by 5in. These dimensions come from the diameter for the ball.

Calculate volume using V = s³, where "s" stands for a side.

V = s³

V = (5in)³

V = 125in³

Mr. Ryan needs a box with the volume 125 cubic inches.

5 0
3 years ago
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