Answer:
By comparing the ratios of sides in similar triangles ΔABC and ΔADB,we can say that
Step-by-step explanation:
Given that ∠ABC=∠ADC, AD=p and DC=q.
Let us take compare Δ ABC and Δ ADB in the attached file , ∠A is common in both triangles
and given ∠ABC=∠ADB=90°
Hence using AA postulate, ΔABC ≈ ΔADB.
Now we will equate respective side ratios in both triangles.
Since we don't know BD , BC let us take first equality and plugin the variables given in respective sides.
Cross multiply
Hence proved.
The thief originally stole 64 plants.
<h3>What is arithmetic?</h3>
In mathematics, it deals with numbers of operations according to the statements.
Here,
Let the number of plants originally stolen by the thief be x.
On the way out, the thief meets three security guards, one after another. To each security guard, the thief is forced to give one-half of the plants that he still had, plus 2 more.
Here,
For gourd 1 the planet is given = 1/2 x
For gourd 2 the planet is given = 1/2 * 1/2 x = 1/4 x
For gourd 3 the planet is given = 1/2*1/4 x = 1/8 x
Total plant given to the gourds = 1/2x +1/4x +1/8x + 2 = 7/x/8x +2
Finally, the thief leaves the nursery with 10 plants
x - 7x/8 + 2 = 10
x/8 = 8
x = 64
Thus, the thief stole 64 plants.
Learn more about arithmetic here:
brainly.com/question/14753192
<h3>
#SPJ1</h3>
Answer:
The correct answer is B(2)
Step-by-step explanation:
I did it and somehow got it right.
Answer:
<em>C(19)=12 responses</em>
Step-by-step explanation:
<u>Exponential Decay Function</u>
The exponential function is frequently used to model natural growing or decaying processes, where the change is proportional to the actual quantity.
An exponential decaying function can be expressed as follows:
Where:
C(t) is the actual value of the function at time t
Co is the initial value of C at t=0
r is the decaying rate, expressed in decimal
The company puts out an advertisement for a job opening. Initially, the company got 90 responses to the advertisement. Each day, the responses declined by 10%.
This is an example where the decay model can be used to calculate the responses to the advertisement at the day t.
The initial value is Co=90, the decaying rate is r=10% = 0.10. The model is written as:
Calculating:
We are required to calculate the number of responses at day t=19, thus:
C(19)=12 responses
The answer is A. 3.19, all you have to do it multiply 3.19x5 then add the 2.95 hope this helps