Answer:
different
Step-by-step explanation:
different slopes gives one solution
same slopes with different constant has no solution
same slopes and constants has many solutions
Answer:
2.
i) (c)
ii) (d)
iii) (b)
iv) (a)
3.
ii) 80°
Step-by-step explanation:
2.
i) 2x+x+3x=180°
x=30°
ii) x+110=180
x=70
iii) x+2x+30°=180
x=50°
iv) 2x+15°+45°+x=180
3x+60°=180
x=40°
3.
ii) 2x+5+25=180°
2x+30°=180°
x=75°
the measure: x+5°= 75°+5°=80°
Answer:
x=90° and y=35°
Step-by-step explanation:
to get x and y first you must find the middle angles based on the information you have so:
35+90+n=180° solve for n to get what the middle angles are (since they are vertical angles they are equal) so the middle angles are both 55 degrees
and then 180-x=that angle that is also on the line with x so we'll call it k
so k+55+y=180°
we can see that y equals 35* because I noticed that those are parallel lines on the outside of the triangle so 35* and y angles are congruent and y =35°
now 35+55+k=180°
solve for the angle next to x which we called k and it is 90°
so x=90° and y=35°
after all this math I realized that if they are parallel lines then we can just use that to figure it out so use the properties to find out that x=90° and y=35°
Step-by-step explanation:
y=x+1
y= -½x -8
x+1= -½x -8
1½x= -9
x = -9/ 1½
x = -6
y = -6+1 = -5
the solution (-6, -5)
There are 210 different possible combinations
<h3>How to determine the number of possible combinations?</h3>
The given parameters are:
- Types of candy, n = 10
- Candies to taste, r = 6
The number of possible combinations is calculated using:
Combination = nCr
This gives
Combination = 10C6
Apply the combination formula
Combination = (10!)/((10 - 6)!6!)
Evaluate
Combination = 210
Hence, there are 210 different possible combinations
Read more about combination at:
brainly.com/question/11732255
