24 is the correct answer because the question is about triangle similarity so if you divide 15 by 3 then you get 5 which is the base of the smaller triangle.
y+z=10
x+z=8
x+y=12
(y+z)-(x+z)=10-8
y-x=2
y-x=2
y+x=12
solve simultaneously
x=5, y=7
then substitute to get z=3
hence xyz=573
Answer:
d = 12.21
Step-by-step explanation:
1) Subtract 4 from both sides.
d = 16.21 - 4
2) Simplify 16.21 - 4 to 12.21.
d = 12.21
Check the answer!
⇒ d + 4 = 16.21
1. Let d = 12.21.
⇒ 12.21 + 4 = 16.21
2. Simplify 12.21 + 4 to 16.21
16.21 = 16.21
Done!
Thanks,
Eddie
Answer:
m∠QRS = 52°
Step-by-step explanation:
From the given figure,
In right triangles ΔRQT and ΔRST,
QT = TS = 7.5 units [Given]
RT ≅ RT [Reflexive property]
ΔRQT ≅ ΔRST [By HL theorem of congruence]
Therefore, m(∠QRT) = m(∠SRT) = 26° [CPCTC]
m(∠QRS) = 2m(∠QRT)
= 2×(26°)
= 52°
