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kbraggs13
14.05.2021 •
Mathematics
Tom is twice his sister's age his sister is 2 less than a score but 5 years younger than Rob. how old is Tom sister. how old is Tom how old is Rob how old was Tom 5 years ago Rob will be __ years old in 6 years time
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Ответ:
Tom is 36, was 31. His sister is 18. Rob is 23 would be 29.
Step-by-step explanation:
Ответ:
Step-by-step explanation:
A) The pair of similar triangles are both Isosceles triangle or right angled triangles.
B) An isosceles triangle is a triangle that has two of its sides and angle equal while a right angled triangle has one of its angles to e 90°. Since he line PS cuts RS at Q and perpendicular to the line RS, then ∠PSR = ∠PSQ = 90°. This shows that one of the angles of ΔPSQ and ΔPSR is 90° proving that they are both right angled triangle.
Similarly, it can be seen that ∠RPQ is a right angled triangled divided equally into ∠SPQ and ∠SPR. This shows that ∠SPQ = ∠SPR = 45°.
Note that ∠PSR = ∠PSQ = 90°,
From ΔPSQ, ∠SPQ.+∠SQP.+∠PSQ= 180°,
45+∠SQP+90 = 180
∠SQP = 180-135
∠SQP = 45
Since ∠SQP = ∠SPQ in ΔPSQ, this shows that the triangle is an isosceles triangle.
Also since ∠SPR = ∠SRP = 45 in ΔSPR, this shows that the triangle is an isosceles triangle.
C) RS = 4 and RQ = 16, find the length of segment RP
From ΔSRP, sin ∠SPR = RS/RP
Since ∠SPR = 45°
sin 45° = 4/RP
RP = 4/sin45°
RP = 4/(1/√2)
RP = 4√2