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kolezko [41]
2 years ago
8

Line l is the perpendicular bisector of AB. What is the perimeter of ABC

Mathematics
1 answer:
saveliy_v [14]2 years ago
3 0

Answer:

Perimeter = 60

Step-by-step explanation:

because l bisects AB:

3y+1 = 5y-5

reduce:

2y = 6

y = 3

and:

2x+4 = 4x-12

reduce:

2x = 16

x = 8

AB = (3y+1) + (5y-5)

AB = 8y-4

substitute for y

AB = 8(3)-4

AB = 20

Perimeter = (2x+4) + (4x-12) + 20

reduce:

perimeter = 6x+12

substitute for x:

Perimeter =6(8)+12

reduce:

Perimeter = 60

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A group of tourists spend $168 to rent snorkels and find. A total of 10 snorkels and 12 pairs of fins are rented. Renting a snor
WITCHER [35]

Answer:

Cost to a rent a snorkel=\$ 12                ,           Cost on 10 rent  snorkel =\$ 120

Step-by-step explanation:

Given,

Tourist spend on rent snorkel and fin=\$ 168

10 snorkel and 12 pairs of fin

Let the cost to  rent a snorkel be =\$x

and cost of a pair of fin is =\$y

x=3y            (given condition)

10x+12y=168

10\times 3y+12y=168

30y+12y=168

42y=168

y=168/42

y=4

Cost of a pair of fin=  y=\$ 4

x=3y

x=3\times 4

x=12

Cost of rent a snorkel=\$ 12

Total cost of a rent snorkel

=10\times 12

   =\$ 168

5 0
2 years ago
in 2012, the population of a city was 63,000. by 2017, the population was reduced to approximately 54,100. identify any equation
Akimi4 [234]

Answer:

<em></em>f(x) = 63000(0.97)^x<em></em>

<em></em>

Step-by-step explanation:

Given

f(0) = 63000 ---x = 0, in 2012

f(5) = 54100 -- x = 5, in 2017

Required

Select all possible equations

Because there is a reduction in the population, as time increases; the rate must be less than 1.

An exponential function is represented as:

f(x) = ab^x

Where

b = rate

rate > 1 in options (a) and (b) i.e. 1.03

This implies that (a) and (b) cannot be true

For option (c), we have:

f(x) = 63000(0.97)^x

Set x = 0

f(0) = 63000(0.97)^0 = 63000*1=63000\\

Set x = 5

f(5) = 63000(0.97)^5 = 63000*0.8587=54098.1 \approx 54100

<em>This is true because the calculated values of f(0) and f(5) correspond to the given values</em>

For option (d), we have:

f(x) = 52477(0.97)^x

Set x = 0

f(0) = 52477(0.97)^0 - 52477* 1 = 52477

<em>This is false because the calculated value of f(0) does not correspond to the given value</em>

For option (e), we have:

f(x) = 63000(0.97)^\frac{1}{5x}

Set x = 0

f(0) = 63000(0.97)^\frac{1}{5*0} = 63000(0.97)^\frac{1}{0} =undefined

<em>This is false because the f(x) is not undefined at x = 0</em>

For option (f), we have:

f(x) = 52477(0.97)^{5x

Set x = 0

f(0) = 52477(0.97)^{5*0} = 52477(0.97)^0 =52477*1= 52477

<em>This is false because the calculated value of f(0) does not correspond to the given value</em>

<em>From the computations above, only (c) </em>f(x) = 63000(0.97)^x<em> is true</em>

4 0
3 years ago
Joanna split 3 pitchers of water equally among her 8 plants. What fraction of a pitcher did each plant get?
MariettaO [177]
The answer is 3/8 of a pitcher

5 0
3 years ago
What is 20% of 1630?
sveticcg [70]
20% = 0.20.2 * 1630 = 326
4 0
3 years ago
Read 2 more answers
A container is in the shape of a cuboid the cuboid is 2/3 full of water a cup holds 275 ml of water what is the greatest number
s344n2d4d5 [400]

Answer:

12 cups

Step-by-step explanation:

The first step is to calculate the volume of the cubiod

= 36 × 6 × 23

= 4968

= 4968/3 ×2

= 1656×2

= 3312

Therefore the greatest number of cups can be calculated as follows

= 3312/275

= 12

Hence the greatest number of cups is 12 cups

8 0
3 years ago
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