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marysya [2.9K]
2 years ago
7

A scientific hypothesis has two important qualities. The first is that it is testable. What is the second?

Mathematics
1 answer:
Ronch [10]2 years ago
4 0
It must be testable and it must be falsifiable
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Given ΔADC and ΔAEB, What is AE?
chubhunter [2.5K]

Answer:

AE = 43.2 units

Step-by-step explanation:

As per the given question image, it can be seen that in the \triangle ADC \text { and }\triangle AEB :

1. \angle B = \angle C = 90^\circ

2. \angle A is common to both the triangles.

3. Two angles are common, so the third angle \angle E is also equal to \angle D.

All the three angles in the \triangle ADC \text { and }\triangle AEB are equal to each other, hence the triangles are similar.

As per the property of similar triangles, the ratio of their sides will be equal.

AB : AC = AE : AD

AC = 88 units

BC = 55 units

AB = AC - AB = 33 units

Let side AE = x units

Side AD = AE + ED

So, AD = x + 72

Using the ratio:

\dfrac{AB}{AC} = \dfrac{AE}{AD}\\\Rightarrow \dfrac{33}{55} = \dfrac{x}{x+72}\\\Rightarrow 55x = 33 \times 72\\\Rightarrow x = \dfrac{3\times 72}{5}\\\Rightarrow x = 43.2\ units

So, AE = 43.2 units

4 0
2 years ago
Write an inequality that represents the situation: a large box of golf balls has more than 12 balls. Describe how your inequalit
qwelly [4]
12>x

X = the number of golf balls, inequality states that the number of golf balls is over 12
7 0
2 years ago
the amount of gasoline at a gas station changes from 58,432.4 gallon to 56,475.2 gallon from 2:00 pm to 4:00 pm. what rational n
jarptica [38.1K]

Answer:

I take it you mean the average gallons lost an hour, in which case you would do 58,432.4 - 56,475.2 to get 1,597.2 to which you divide by 2 getting your final answer of 978.6

4 0
2 years ago
Use the graphing calculator to locate the solutions of this system of equations:
777dan777 [17]
Hello,

y=(x-2)²-15
y=5x-1

==> 5x-1=x²-4x+4-15
==> x²-9x-10=0
Δ=9²+4*10=11²
x=(9+11)/2 or x=(9-11)/2
==>(x=10 and y=5*10-1=49) or (x=-1 and y=5*(-1)-1=-6)

1) A (-1,-6)
2) C (10,49)

7 0
2 years ago
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Teams must win at least 25 games. So far, the volleyball team has won 21. Describe the graph of an inequality showing how many m
ivolga24 [154]

Answer: it’s the 2nd and Last one

Step-by-step explanation: just got it right

8 0
2 years ago
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