Answer:
x = 22°
y = 26°
z = 48°
Step-by-step explanation:
∠PQS and ∠QSR is a pair of alternate interior angles
plus PQ is parallel to SR
then
x = 22°
SPR is an isosceles triangle then m∠PRS = 66°
Therefore x + y = 180-(66+66) = 180-132 = 48
then y = 48 - x = 48-22 = 26
finally, z = x + y = 48
AB and CD are parallel because they are stray Ight and not slanted at all but EF and GH are slanted therefore they are not parallel
The equation shown above does not show the substitution property. Instead, it shows the Addition Property of Equation where 3 is added to both of its sides. This is shown below,
4x - 3 = 7
4x - 3 + 3 = 7 + 3
4x = 10
9514 1404 393
Answer:
cos(x) = 0.6
Step-by-step explanation:
First, we need to find UQ.
UQ = UP·cos(y°) = UP·√(1 -sin²(y°)) = (26 cm)√(1 -25/169) = (26 cm)(12/13)
UQ = 24 cm
Then TQ is ...
TQ = 1/3UQ = 1/3(24 cm) = 8 cm
And cos(x°) is ...
cos(x°) = √(1 -sin²(x)) = √(1 -64/100)
cos(x°) = 6/10 = 3/5
cos(x°) = 3/5 = 0.6