Answer:
$150
Step-by-step explanation:
5/(4+5) * 270 = 150
Answer:
- A. segment A double prime B double prime = segment AB over 2
Step-by-step explanation:
<u>Triangle ABC with coordinates of:</u>
- A = (-3, 3), B = (1, -3), C = (-3, -3)
<u>Translation (x + 2, y + 0), coordinates will be:</u>
- A' = (-1, 3), B = ( 3, -3), C = (-1, -3)
<u>Dilation by a scale factor of 1/2 from the origin, coordinates will be:</u>
- A'' = (-0.5, 1.5), B'' = (1.5, -1.5), C= (-0.5, -1.5)
<u>Let's find the length of AB and A''B'' using distance formula</u>
- d = √(x2-x1)² + (y2 - y1)²
- AB = √(1-(-3))² + (-3 -3)² = √4²+6² = √16+36 = √52 = 2√13
- A''B'' = √(1.5 - (-0.5)) + (-1.5 - 1.5)² = √2²+3² = √13
<u>We see that </u>
<u>Now the answer options:</u>
A. segment A double prime B double prime = segment AB over 2
B. segment AB = segment A double prime B double prime over 2
- Incorrect. Should be AB = A''B''*2
C. segment AB over segment A double prime B double prime = one half
- Incorrect. Should be AB/A''B'' = 2
D. segment A double prime B double prime over segment AB = 2
- Incorrect. Should be A''B''/AB = 1/2
Answer:
k= -8
Explaining:
Move variable to the left-hand side and change its sign.
2.25k - 6.5k - 20= 6.5k - 6.5k + 14
Since two opposites add up to zero, remove them from the expression.
2.25k - 6.5k - 20= 14
Collect like terms!
-4.25k = 14 + 20
Add the numbers
-4.25k = 35
Divide both sides of the equation by -4.25
So you will get the answer: k= -8
Answer:
8, 9
Step-by-step explanation:
1/2x + 2(x + 1) = 22
1/2x + 2x + 2 = 22
1/2x + 2x = 20
5/2x = 20
5x = 40
x = 8
8, 9
4 + 18 = 22
