Answer: 80°
Step-by-step explanation:
The sum of the angles in a triangle is 180°. Since the two angles of a triangle measure 15° and 85°.
The measure for the third angle will be:
= 180° - (15° + 85°)
= 180° - 100°
= 80°
The third angle is 80°
Answer: probability 0.01 %
Step-by-step explanation:
P(A) = 10% = 10/100 = 0.10
pick two people -
= P(A).P(A)
= 0.10 times 0.10
= 0.01
probability = 0.01
Answer:
x = 3
y = 15
Step-by-step explanation:
If △XPS ≅△DNF, their corresponding sides would be congruent. This implies that:
XP ≅ DN
PS ≅ NF
XS ≅ DF
Given that:
XP = 4y - 3
DN = 57
NF = 51
XS = 17x + 3
DF = 54
Therefore:
XP = DN
4y - 3 = 57 (Substitution)
Add 3 to both sides
4y = 57 + 3
4y = 60
Divide both sides by 4
y = 60/4
y = 15
Also,
XS = DF
17x + 3 = 54 (substitution)
Subtract 3 from each side
17x = 54 - 3
17x = 51
Divide both sides by 17
x = 51/17
x = 3
