Answer:
y = 2x - 10
Step-by-step explanation:
y2 - y1/ x2 - x1
0 - 2 / 5 - 6
= 2
y = 2x + b
2 = 2(6) +b
2 = 12 + b
-10 = b
The equation is y = 2x - 10
Answer:
x = 18
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
x+x+x=54
(x+x+x)=54(Combine Like Terms)
3x=54
3x=54
Step 2: Divide both sides by 3.
3x 3
=
54
3
x=18
Answer:
x=18
Answer:
For radio = $40.43
Television = $444.73
Player = $364.73
Step-by-step explanation:
The computation of the each device cost is shown below:
let us assume the following things
radio be x
television x + 10x
player x + 10x - $80
Now the equation is
x + x + 10x + x + 10x - $80 = $850
3x + 20x - $80 = $850
23x = $930
x = $40.43
For radio = $40.43
Television = $40.43 + 10(40.43)
= $40.43 + $404.3
= $444.73
and, the player would be
= $444.73 - $80
= $364.73
A triangle is a three-edged polygon with three vertices. ΔAKE and ΔCKP are congruent.
<h3>What is a triangle?</h3>
A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angle of a triangle is always equal to 180°.
In ΔABC, since AB≅BC, therefore, the triangle will be an isosceles triangle, and the measure of ∠A ≅ ∠C, using the base angle theorem.
Now In ΔAKE and ΔCKP,
∠A ≅ ∠C {Proved above}
∠AKE ≅ ∠CKP {Given}
AK ≅ KC {Given }
Since two angles and a side of the triangle are equal, therefore, we can write the two triangle are congruent using the Side-angle-side or Angle-Side-Angle congruence.
Hence, ΔAKE and ΔCKP are congruent.
Learn more about Triangle:
brainly.com/question/2773823
#SPJ1
Answer:
0.13093
Step-by-step explanation:
Give. That :
Population mean = 40% = 0.4
Sample size (n) = 64
Probability that more than 30 have computer at home
Mean = np = 64 * 0.4 = 25.6
Standard deviation = sqrt(n*p*(1-p)) = 3.919
P(x > 30)
USing the relation to obtain the standardized score (Z) :
Z = (x - m) / s
Z = (30 - 25.6) / 3.919 = 1.1227353
p(Z < 1.122) = 0.13093 ( Z probability calculator)
