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Tresset [83]
2 years ago
5

This figure shows a quadrilateral made of triangle ABF and triangle DEC.

Mathematics
1 answer:
LUCKY_DIMON [66]2 years ago
8 0

Answer:

a. Triangles or any shape are congruent when they all have the same sides and equivalent angles.

Step-by-step explanation:

no explanation for this

PS. i only did A sorry i cant help everything

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The table below shows the ticket rates for whale watching trips offered by Ocean Tours. Age Ticket Price Under three years free
Mamont248 [21]
If there are 40 children aged twelve and under and x of them are under three years old, 40 - x aged three twelve years old. From the 92 people that where taken by the company on whale watching trips, 52 are over twelve years old. The equation that best show the total cost, C is
                                (40 - x)(36) + (52)(48) = C
Rearranging the equation gives,
                                       x = 40 - ((C - 2496)/ 36)
4 0
2 years ago
Michael solved this inequality as shown: Step 1: -6(x + 3) + 10 < -2 Step 2: -6x − 18 + 10 < -2 Step 3: -6x − 8 < -2 St
Amiraneli [1.4K]

Answer:

<h2>D. addition property of inequality</h2>

Step-by-step explanation:

Given the step 3 and 4 of the solution Step 3: -6x − 8 < -2 Step 4: -6x < 6

From step 3;

-6x − 8 < -2

Michael got the step 4 by adding 8 to both sides of the inequality as shown;

-6x − 8 + 8 < -2 + 8

-6x < 6 (Step 4)

Since Michael added 8 to both sides of the inequality, <em>the property that justifies the transition from step 3 to step 4 is the </em><u><em>addition property of inequality</em></u><em>. Addition property is the property that adds an integer to both sides of an inequality without altering the inequality sign and also retaining the inequality equation.</em>

8 0
2 years ago
If two or more polygons are congruent, which statement must be true about the polygons? Read all of the choices before deciding.
hodyreva [135]
The best correct answer is option E. If two or more polygons are congruent, then rigid transformations can be used to map one polygon onto the other. <span>Two figures are said to be congruent when they have the same shape and size or if one object is a mirror image of the other object.</span>
5 0
2 years ago
Read 2 more answers
Fresh pond has a population of 854 and is increasing by 3 people per year. Strawberry has a population of 427 and is increasing
lawyer [7]

Answer:

  • Fresh Pond: p(t) = 854 +3t
  • Strawberry: p(t) = 427·1.10^t

Step-by-step explanation:

(a) The general term of an arithmetic sequence is ...

  an = a1 + d(n -1)

If we let the sequence of population numbers be modeled by this, and we use t for the number of years, we want n=1 for t=0, so n = t+1 and we have ...

  p(t) = 854 +3(t+1-1)

  p(t) = 854 +3t

__

(b) The general term of a geometric sequence is ...

  an = a1·r^(n-1)

were r is the common ratio. Here, the multiplier from one year to the next is 1+10% = 1.10. Again, n=t+1, so the population equation is ...

  p(t) = 427·1.10^(t+1-1)

  p(t) = 427·1.10^t

3 0
2 years ago
The daily consumption of milk in a house is 3.25 litres. How much milk will be consumed in 30 days?
leonid [27]

Answer:

Milk consumed in 30 days = (30 days)(3.25 litres/day) = 97.5 litres

Step-by-step explanation:

You are given a rate at which the milk is consumed (3.25 litres per 1 day). This is just multiplied by the 30 days to get your answer.

5 0
2 years ago
Read 2 more answers
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