Answer:
a= 30
b=60
c=105
Step-by-step explanation:
A forms a vertical angle with another angle that measures 30 degrees, therefore,
a= 30 degrees.
Since a is 30 degrees and a and b are in the same triangle with a 90-degree angle and all interior angles in a triangle equal 180 degrees.
Then, 30+90+b=180
120+b=180
b=60
Angle c and an angle that equals 75 degrees are supplementary. meaning that they add up to 180 degrees.
180-75=c
105=c
Answer:
y + 3 = -1(x-1)
Step-by-step explanation:
sub (1, -3) and slope = -1:
y - (-3) = -1(x - 1)
Topic: Coordinate Geometry
If you would like to venture further, you can check out my Instagram page (learntionary) where I post notes and mathematics tips. Thanks!
Answer:
216 marbles bought altogether
Step-by-step explanation:
small m- 10
large m- 8
10×12+8×12=
120+96
= 216
Answer: w = 7, x = 6
Step-by-step explanation: Solve by substitution
W + b = 13
rewrite as b = 13 - w and substitute that value for b in the second equation
6.5w + 2b = 57.5 Then solve for w
6.5w + 2(13-w) = 57.5 . Distribute
6.5w + 26 - 2w = 57.5 . Subtract 26 from both sides. Combine like terms and simplify
6.5w - 2w = 57.5 - 26
4.5w = 31.5 Divide both sides by 4.65
w = 7 . Substitute 7 for w in the first equation and solve for b
7 + b = 13 . Subtract 7 from both sides
b = 6
