<h3>
Answer: Yes</h3>
========================================================
Explanation
The ratio 8:10 simplifies to 4:5 when you divide both parts by 2.
The ratio 16:20 simplifies to 4:5 when you divide both parts by 4
Therefore the two ratios 8:10 and 16:20 are both equal 4:5, so they are equal to one another.
------------
Put another way,
(8 large)/(10 small) = (16 large)/(20 small)
8/10 = 16/20
8*20 = 10*16 ... cross multiply
160 = 160
We get a true equation, so the first equation is true as well.
This shows the ratios are equivalent.
-------------
Or you could have...
(8 large)/(16 large) = (10 small)/(20 small)
8/16 = 10/20
8*20 = 16*10
160 = 160
We get the same conclusion as before.
Step-by-step explanation:
8x-3x = 18-3(like terms)
or,5x = 15
or,x=15/5
or,x=3
Answer:
Step-by-step explanation:
a²+b² = c² c is always the longest line thats opposite to the 90 degree angle
for 1
15² + b² = 17²
b² = 17² - 15²
b = √(17² - 15²)
b= 8
Supplementary means it adds up to 180 degrees.
So if one side is 31 degrees, you would need to subtract that from 180 to find the other side.
-----------------------
180 - 31 = 149
-----------------------
The other angle would be 149 degrees.
Answer:
5/4in
Step-by-step explanation:
The initial length:
1 ft = 12 in
8 ft = 8 * 12 in
= 96 in
The final length:
7 ft 10 3/4 in = 7 ft + 10 in + 3/4 in
= 7 * 12 in + 10 in + 3/4 in
= 84 in + 10 in + 3/4 in
= 94 in + 3/4 in
The final length:
96 in - 94 in - 3/4 in = 2 in - 3/4 in = 8/4 in - 3/4 in = 5/4 in
