Answer:
x=20
3x= 3(20)=60
4x= 4(20)=80
Step-by-step explanation:
The angles CD is 90 degrees because the small square indicates
it. Angles AD are a straight angle, therefore all the other angles within A to D, must equal 180 degree. (straight line/angle=180 degrees).
so AB + 70+ 90= 180 degrees
AB= 180 -70-90
AB=20
x=20
3x= 3(20)=60
4x= 4(20)=80
1): Answer =====> Letter Choice, (B), The rate in which you walked home, The slope is the same, as the Rate of Change, In Distance Divided by the Change in Time =====> d = 4 -1/15t(4) / 1/15t
2): The Equation: d = -1/15t + 4
The more the Number of Minutes: Larger the Negative Quantity; ====> -1/15t
The Larger the Negative Quantity in Equation: D value is Smaller:
Therefore your Answer ===> The Distance from home (d), Decreased with Minute Walked (t) ====> So, Letter Choice, (C)
2): Towards your home, The slope is Negative, and the Distance (y - value), Decreases, as the Time (x- Values), Increases. Notice the Slope is Negative, Because, you are getting closer to home.
Hope that helps!!!! : )
Answer:
$1.30
Step-by-step explanation:
Break it down into 2-Dimensional shapes. Then add the areas together.
From the picture you can see;
front & back rectangles are 2*(4 x 8) = 64 m²
2 side rectangles are 2*(4 x 12) = 56 m²
2 triangular front & back pieces are (1/2)*8*3 = 12 m²
2 roof rectangles are 2*(5 x 12) = 120 m²
total Surface area = 64 m² + 56 m² + 12 m² + 120 m²
= 252 m²
For the volume; break it up into 3-dimenssional shapes and add the volumes together.
From the picture you can see;
Rectangular box volume is 4 x 8 x 12 = 384 m³
Triangular roof volume is area of front triangle multiplied through the length. (1/2)*8*3* 12 = 144 m³
Total volume = 384 m³ + 144 m³
= 528 m³
