Answer:
Step-by-step explanation:
In Δ PQS and ΔPQT
∠QPS = ∠RPT       {Common angle}
∠PSQ = ∠PTR = 90°         {QS & RT are altitude}
QS = RT                            {given}
ΔPQS ≅ ΔPRT               {A A S congruent}
PQ = PS                         {CPCT}
So, PQR is an isosceles triangle.
9)
a) Flas card (I) and (iii) are congruent.
b)  A S A congruent
c) BC ≅ RP
 
        
             
        
        
        
Answer:
No
Step-by-step explanation:
See attached
 
        
             
        
        
        
Answer:
19.77% of average city temperatures are higher than that of Cairo
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean  and standard deviation
 and standard deviation  , the zscore of a measure X is given by:
, the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:

What percentage of average city temperatures are higher than that of Cairo?
This is 1 subtracted by the pvalue of Z when X = 21.4.



 has a pvalue of 0.8023
 has a pvalue of 0.8023
1 - 0.8023 = 0.1977
19.77% of average city temperatures are higher than that of Cairo
 
        
             
        
        
        
Answer:
C. F(x) = 4x² + 1
Step-by-step explanation:
→The function F(x) shifted 1 unit upwards, meaning there needs to be a 1 being added to the function.
→In addition, the function F(x) has grown narrower, compared to the function G(x). This is from the absolute value of a number being greater than 1, which is being multiplied.
<u>This means the correct answer should be "C. F(x) = 4x² + 1."</u>