Answer:
a) SAS
b) Volume of DEF is 4 times the Volume of ABC
Step-by-step explanation:
a) since they have one same/congruent angle (angle B and angle E) and other two sides are in the same ratio, they are similar by SAS similarity theorem.
40/20 = 30/15 = 2
Therefore Δ ABC is similar to Δ DEF
b) Volume of a prism
= base area × height
Let height be 'h cm'
With Base ABC:
Volume = ½×20×15×h = 150h cm³
With Base DEF:
Volume = ½×40×30×h = 600h cm³
600h/150h = 4
Prism with base DEF has a greater volume; it's 4 times of the volume of the prism with base ABC
Answer:
The drawing will fit the index card
Step-by-step explanation:
The scale use by Shannon is
1 inch represent 0.5 feet.
Thus, the length of the car in the drawing is 12 * 0.5 = 6 inch.
The size of the paper is 5 inch by 7 inch
Hence, considering the longest side of paper representing the length of the car, it can be said that the drawing will fit the index card.
Answer:
423
Step-by-step explanation:
623+223=846/2=423
Answer:
3/5= $3000
then 2/5= $1200
Step-by-step explanation:
Answer:
The required equation is 
Step-by-step explanation:
Consider the provided information.
Student on the cross-country team runs 30 minutes a day as a part of her training,
30 minutes = 0.5 hours
As we know 
Let the distance she runs in miles, is represented by D, and her running speed, in miles per hour is represented by S.
Therefore, the required equation is: 
Part (A) At a constant speed of 4 miles per hour for the entire 30 minutes.
Substitute S=4 in above equation.
Hence, the required equation is
