Reduce each ratio to its minimum expression to find if they are equal.
35:28
10:8
Since both ratios reduce to 5:4, they are equivalent.
Another way to check a:b is equivalent to c:d, is that a*d = b*c
In this case, this will be true if 35 times 8 is equal to 10 times 28:
Since both products are equal, then the ratios are equivalent.
Answer:
Area of ΔDEF = 12 in²
Step-by-step explanation:
Since they are similar, we have to find the scale factor
Scale Factor = 
Scale Factor = 4/2
Scale Factor = 2
<u><em>This means The area of ΔABC is 2 times the area of ΔDEF</em></u>
So,
ΔABC = 2(ΔDEF)
Where Area of ΔABC = 24 in²
24 = 2(ΔDEF)
Dividing both sides by 2
=> Area of ΔDEF = 12 in²
Answer:
3
Step-by-step explanation:
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Answer:
The cube will fit on the shelf.
Explanation:
If the volume is 10 cubic feet, then the height is around 2.1-2.2 feet high. One foot is 12 inches, so the height in inches is around 25.2-26.4 which is less than 30 inches.
Answer:
Step-by-step explanation:
question no 3
In complementary angles , sum of two angles is 90 degree. so here,
angle A + angle B = 90 degree
angle A is given i.e 11 degree . substitute the value of A
11 degree + angle B= 90 degree
angle B = (90 -11) degree
angle B = 79 degree
question no 4
In supplementary angles , sum of two angles is 180 degree so here,
angle A + angle B = 180 degree
angle A is given i.e 149 degree . substitute the value of angle A
149 degree + angle B = 180 degree
angle B = (180 - 149) degree
angle B = 31 degree
