Answer:
x = 27
Step-by-step explanation:
We can say that sum of all interior angles adds up to: 180°, therefore;
(3x - 17) + (2x - 5) + (x + 40) = 180°
=> now add like terms together:
=> 3x + 2x + x = 6x
=> -17 + (-5) + 40 = 18
Therefore;
6x + 18 = 180°
6x = 180 - 18
6x = 162
x = 162/6
<u>x = 27</u>
Hope this helps!
Answer:
=
Step-by-step explanation:
Here we are given the inequality:

Let us check for each ordered pair that satisfies the given inequality.
1. (3,0)
LHS: y
here y is 0.
So LHS is 0.
RHS: 4x-5
plugging x as 3,
4(3)-5 = 7
0≥7
False
So (3,0) does not satisfy the inequality.
2. (1,1)
LHS: y
here y is 1.
So LHS is 1.
RHS: 4x-5
plugging x as 1,
4(1)-5 = -1
1≥-1
True
So (1,1) satisfy the inequality.
1. (3,4)
LHS: y
here y is 4.
So LHS is 4.
RHS: 4x-5
plugging x as 3,
4(3)-5 = 7
4≥7
False
So (3,4) does not satisfy the inequality.
1. (2,1)
LHS: y
here y is 1.
So LHS is 1.
RHS: 4x-5
plugging x as 2,
4(2)-5 = 3
2≥3
False
So (2,1) does not satisfy the inequality.
Answer: (1,1) is the solution of the given inequality.
Answer:
12
Step-by-step explanation:
flip the equations to multiplication
9/2×8/3
reduce numbers with greatest common factor 3
3/2×8
reduce number of greatest common factor 2
3×4
12 is the answer
Answer:
y =
x + 
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y-intercept )
To calculate the slope use the gradient formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (- 3, 4) and (x₂, y₂ ) = (5, 7)
m =
=
, hence
y =
x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
using (5, 7 ), then
7 =
+ c ⇒ c = 7 -
= 
y =
x +
← equation in slope-intercept form