Answer:
100
Step-by-step explanation:
since its collinear it has to be 180 -80 which equals 100.
Answer:
Options A, B and C are CORRECT PROPORTIONS
Step-by-step explanation:
Option A
3:5 = 6:10
The LHS must equal the RHS
3:5 is in it's lowest term.
6/10 will be in it's lowest term by dividing the numerator and denominator by 2.
6/10 = 3/5
Option B
3/6 and 5/10.
Diving 3/6 fractions by 3
= 1/2
Dividing 5/10 fraction by 5
= 1/2
Option C
Dividing 6/3 by 3 = 2
Dividing 10/5 by 5 = 2
Thats how you work through equivalent proportional fractions
Answer:
x = 16
Step-by-step explanation:
The equation shown can be solved this way.
x^2 +(x -4)^2 = 20^2
x^2 +x^2 -8x +16 = 400
2x^2 -8x -384 = 0
x^2 -4x -192 = 0
(x -16)(x +12) = 0
The positive solution is ...
x = 16
_____
Since this makes use of the Pythagorean theorem, you've probably run across the 3-4-5 triangle. You often find scaled versions of it in algebra and geometry problems. Here, it is scaled by a factor of 4 to give a 12-16-20 triangle as half of the display screen.
The 3-4-5 triple is the only Pythagorean triple that is an arithmetic sequence. So, if the difference in side lengths is 4 and the diagonal is 5×4, you can be pretty certain that x = 4×4 and x-4 = 4×3.
Answer: WVX and TSV
Step-by-step explanation: