Two lines intersect to form the angles shown.
which statements are true? select all that apply.
a. m∠1=100°
b. m∠3=80°
c. m∠3=m∠1
d. m∠2=80°

Option B and C are the correct option.

Step-by-step explanation:

To solve this question we will go through each option given.

Option A. since ∠1 and angle = 100° are supplementary to each other.

∠1 + 100° = 180°

∠1 = 180 - 100

∠1 = 80° ≠ 100°   Incorrect option

Option B.

∠3 and angle = 100° are supplementary angles

∠3 + 100 = 180°

∠3 = 180 - 100

∠3 = 80°   Correct option

Option C.

∠3 and ∠1 are opposite angles

Therefore, ∠3 = ∠1    Correct option

Option D.

∠2 and angle = 100° are oppsite angles

Therefore, ∠2 = 100° ≠ 80°   Incorrect option

Option B and C are the correct option.

"a" determine whether sage found the correct quotient. show your work

step-by-step explanation:

let x and 400 - x be the two numbers.  

==> 0.80x + 0.85(400 - x) = 400 - 68 from the statement of the problem.  

< ==> 0.80x + 0.85(400 - x) = 400 - 68  

==> 340 - 0.05x = 332  

< ==> -0.05x = -8 ==> x = 160, the first number ==> 400 - x = 240, the second number.