Answer:
2x+20 + x+40 = 180
Step-by-step explanation:
The angles are supplementary so they add to 180
2x+20 + x+40 = 180
Answer:
slope = -2/3
y-intercept = -2
Step-by-step explanation:
3y + 6 = -2x
Conver to slope intercept form
3y = -2x - 6
y = -2/3x - 2
Follow the form y = mx + b, so m is the slope and b is the y-intercept
Let " x " denotes the temperature in degree Fahrenheit .
Let " y " denotes the chirp rate per minute .
We have given that at 88 degree Fahrenheit , chirp rate is 64 times per minute and at 97 degree Fahrenheit , it is 118 times per minute .
We write this information in coordinate form ( x,y) .
We have ( x₁ ,y₁) = ( 88 , 64 ) and ( x₂ , y₂) = ( 97,118) .
y₂ - y ₁ 118 - 64 54
Slope , m = ---------------------- = --------------------- = -----------
x₂ - x₁ 97 - 88 9
Slope , m = 6 .
Equation of line in slope intercept form is
y = m x + b where ' m' is slope and ' b ' is intercept .
Plug value of m , we get
y = 6 x + b .
To find value of b , we put ( 88 , 64 ) in place of x and y .
Put x = 88 and y = 64 , we get
64 = 6 * 88 + b
64 = 528 + b
64 - 528 = b
- 464 = b
Thus we get b = - 464 .
So the equation become
y = 6 x - 464 .
Equation in slope intercept form representing the situation is
y = 6 x - 464 .
Answer:
See below.
Step-by-step explanation:
ABC is an isosceles triangle with BA = BC.
That makes angles A and C congruent.
ABD is an isosceles triangle with AB = AD.
That makes angles ABD and ADB congruent.
Since m<ABD = 72 deg, then m<ADB = 72 deg.
Angles ADB and CDB are a linear pair which makes them supplementary.
m<ADB + m<BDC = 180 deg
72 deg + m<BDC = 180 deg
m<CDB = 108 deg
In triangle ABD, the sum of the measures of the angles is 180 deg.
m<A + m<ADB + m<ABD = 180 deg
m<A + 72 deg + 72 deg = 180 deg
m<A = 36 deg
m<C = 36 deg
In triangle BCD, the sum of the measures of the angles is 180 deg.
m<CBD + m<C + m<BDC = 180 deg
m<CBD + 36 deg + 108 deg = 180 deg
m<CBD = 36 deg
In triangle CBD, angles C and CBD measure 36 deg making them congruent.
Opposite sides DB and DC are congruent making triangle BCD isosceles.
Answer:
negative
Step-by-step explanation:
b is a negative number because it is less than -1, so b/5 is a negative number because negative/positive = negative
