Using our congruency statement <span>DEFGH ≅ QRSTU, we can see which angles map onto each other.
</span>D ≅ Q
E ≅ R
F ≅ S
G ≅ T
H ≅ U
We see that E ≅ R, and since E is 143 degrees, R = 143 degrees.
Why is this true, you may ask? When dealing with congruency, the given points/letters (they are really both) are congruent to the corresponding shapes letter/point. For example, if triangle ABC ≅ DEF, A would correspond to D, B would correspond to E, etc. When you see these types of problems, congruency will be applied to angles (it could apply to lines in other cases).
If you have any questions, feel free to ask!
:)
Answer:
The probability that the difference of the proportions (industrial - rural) is greater than 0.2 is 0.7054
Step-by-step explanation:
Solution
Given that:
n₁ = 1500
x₁ = 800
p₁ =800/1500 =0.533
q₁ = 1- 0.533 = 0.467
Thus,
n₂ =1000
x₂ = 300
p₂ = 300/1000 = 0.3
q₂ = 1-0.3 =0.7
So,
p₁ - p₂ = 0.533 - 0.3
=0.233
Now,
SE (p₁ - p₂ ) =√0.533 * 0467/150 + 0.3 * 0.7/1000
=0.0613
So,
p ( p₁ - p₂ > 0.2
= p ( Ƶ > 0.2 - 0.233/0.0613
p = ( Ƶ > - 0.54)
= 0.7054
Its x=4
because if you divide both sides by 14 property of the equality
x = 56 divided by 14 x= 4
the answer is x=4
Probability of choosing pink balloon is 
.
Step-by-step explanation:
Given,
Number of green balloons = 5
Number of yellow balloons = 3
Number of red balloons = 4
Number of pink balloons = 8
Total number of balloons = 5+3+4+8 = 20
To find the probability of pink balloon.
Formula
Probability of an even = number of outcomes ÷ total number of outcomes
So,
Probability of choosing pink balloon = 
=
