PQR is an isosceles triangle in which pc=pr m and n are points on PQ and PR such that angle MQR =angle NQR Prove that triangle QNR and RMQ are congruent

We are given that triangle PQR is an isosceles triangle in which PQ = PR .

Since the base angles of an isosceles triangle are equal,

angle PQR = angle PRQ  

Also, And we are given that

angle MRQ = angle NQR

In ΔQNR and  ΔRMQ

∠NQR=∠MRQ (given)

QR = QR   (common)

-triangles QNR is congruent to triangles RMQ - ASA - angle side angle

answer: expected value of x = 1.0

step-by-step explanation:

p(x=0) = 0.25

p(x=1) = 0.50

p(x=2) = 0.25

expected value for x = 0×0.25 + 1×0.5 + 2×0.25 = 1.0

there has been genes found in the x chromosome of males that have been linked to [homo/hetero]sexuality. in addition to the reign of the x chromosome, a section of chromosome 8 has also been link to, "alot of ppl are so " these facts were proven true after a 2014 study of a gay male and his strait brother. according to newscientist.com,"chromosome 14 and is mainly active in the thyroid, but also the brain. called tshr, it makes a type of receptor protein that recognises and binds to a hormone that stimulates the thyroid. in this way, the gene plays an important role in controlling thyroid function. the fact that tshr seems to be involved in sexual orientation fits with evidence that thyroid function seems to be linked to sexuality."

in conclusion, "ppl are so gay" due to their genetics.