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DanielleElmas [232]
3 years ago
9

Given that RT ≅ WX, which statement must be true?

Mathematics
1 answer:
wel3 years ago
4 0
The length of TR<span> ≅ The length of XW</span>
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Find the constant of proportionality on the graph.
Goryan [66]

Answer : 2.5

Step - by - step explanation :

X / Y = COP

5 / 2 = 2.5 or 2 1/2

Y = 2.5x

7 0
2 years ago
The function notation f (x) means "f multiplied by x."<br> True<br> False
Digiron [165]
Your answer is True!!
6 0
3 years ago
Read 2 more answers
PLEASE HELP !! ILL GIVE BRAINLIEST !
fomenos

Answer:

20 + 0i

Step-by-step explanation:

(10 + 5i) + (10 - 5i) = 20 + 0i

7 0
3 years ago
The scale on a map is 1: 75 000. (a) Calculate the ACTUAL distance, in km, between two places which are 16 cm apart on the map.
finlep [7]

Answer:

a. 1 200 000 km

b. 0.000 773 cm

c. 67 500 000 000 km²

d. 0.000 000 016 cm²

Step-by-step explanation:

a. Calculate the ACTUAL distance, in km, between two places which are 16 cm apart on the map.

Since the scale is 1 : 75000 that is 1 cm : 75000 km, we want to find the actual distance of 16 cm on the map. Let x be the actual distance in km.

So, 1 cm : 75000 km = 16 cm : x km

So, 1 cm/75000 km = 16 cm/x km

Thus x km = 16 cm × 75000 km/1 cm = 1 200 000 km

(b) Calculate length of a road on the map which is 0.58 km.

Let y be the length of road on the map. So, using our scale

1 cm : 75000 km = y cm : 0.58 km

So, 1 cm/75000 km = y cm/0.58 km

Thus y cm = 0.58 km × 1 cm/75000 km = 0.000 773 cm

(c) Calculate, in km², the ACTUAL area of a lake which is 12 cm2 on the map.

Since the scale is 1 : 75000 , the scale for the area would be the square of this. So, 1² : 75000² = 1 : 5 625 000 000 which is 1 cm² : 5 625 000 000 km²

Let z be the actual area of the lake.

So,  1 cm² : 5 625 000 000 km² = 12 cm² : z km²

So, 1 cm²/5 625 000 000 km² = 12 cm²/z km²

Thus z km² = 12 cm² × 5 625 000 000 km²/1 cm² = 67 500 000 000 km²

(d) Calculate the area of a play field on the map which has has an actual area of 90 km².

Let a represent the area of the play field on the map. Using our scale for the area,

1 cm² : 5 625 000 000 km² = a cm² : 90 km²

So, a cm² = 90 km² × 1/5 625 000 000 km² = 0.000 000 016 cm²

4 0
3 years ago
To paint his room ted prepared 2 gallons of a paint mixture at a ratio of 3:1 white to blue. If he later decide to dilute the co
earnstyle [38]

Answer:

White = 1.67 gallons

Blue = 0.33 gallons

Step-by-step explanation:

White : blue = 3 : 1

Total ratio = 3 + 1

= 4

Gallons = 2

White = 3 /4 × 2

= 6 /4

= 3/2 gallons

Blue = 1 / 4 × 2

= 2/4

= 1/2

If he later decide to dilute the color to a ratio of 5:1

Total ratio = 5 + 1

= 6

Total gallons = 2

White = 5 / 6 × 2

= 10/6

= 5/3 gallons

Or

= 1.67 gallons

Blue = 1 / 6 × 2

= 2 / 6

= 1/3 gallons

Or

= 0.33 gallons

4 0
2 years ago
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