Answer:10x
Step-by-step explanation:
yes
Answer:
Step-by-step explanation:
We can use either angle, but I'm going to use the one on the bottom. So, in order to find x, we need to use tangent. One side we know is the adjacent, and the side we don't know is the opposite, therefore we need tangent. Here's the equation:
Obviously, we can't have a root in our denominator, so we need to get rid of it somehow. Here's how:
We multiply the denominator of the fraction by . multiplied by itself is simply 2. Try it! We also want to multiply the numerator by , but there isn't really a number we can use with that, so we'll just add it to the side. The equation you have now is:
Let's try to work this out now. Since the denominator is 2, we have to multiply both sides by it to find x.
We can plug 2 in for the x in the numerator now:
2 and 2 cancel out, so you get 1 in both the numerator and denominator. That's how we get our answer of 
Also, because this is a 45-45-90 triangle, you don't really have to do all that work. If it's a 45-45-90 triangle, both legs should be the same length. :)
Answer:
Step-by-step explanation:
The side that is parallel to BC is EF
Find the slope of EF:
Easiest way is just put the formula in point-slope form and simplify.
Let's use point F, which is (6,2)
Simplify:
Add 2 on both sides:
Hope this helped
Step-by-step explanation:
step 1. (13x + 8) + (2x + 7) = 180 (definition of same side interior angles)
step 2. 15x + 15 = 180 (like terms)
step 3. 15x = 165 (subtract 15 from each side)
step 4. x = 11. (divide both sides by 15)
Answer:
Correct options are:
a) ( 0 , 445 )
d) ( 118 , 209 )
e) ( 172 , 101 )
Step-by-step explanation:
A nickel is worth 5 cents $0.05
A dime is worth 10 cents = $0.10
The relationship between the numbers of dimes and nickels, and the amount of money in dollars is represented by the equation 0.10d+0.05n=22.25. Select the THREE values (d,n) that could be solutions to the equation.
a) ( 0 , 445 )
b) ( 0.50 , 435 )
c) ( 233 , 21 )
d)( 118 , 209 )
e)( 172 , 101 )
Verifying the options
a) ( 0 , 445 )
0.10d+0.05n=22.25.
= 0.10(0) + 0.05(445) = 22.25
= 22.25 = 22.25
Options a) is correct
b) ( 0.50 , 435 )
0.10d+0.05n=22.25.
= 0.10(0.50) + 0.05(435) = 22.25
= 21.8 ≠ 22.25
Option b is incorrect
c) ( 233 , 21 )
0.10d+0.05n=22.25.
= 0.10(233) + 0.05(21) = 22.25
= 24.35 ≠22.25
Option c is incorrect
d) ( 118 , 209 )
0.10d+0.05n=22.25.
= 0.10(118) + 0.05(209) = 22.25
= 22.25 = 22.25
Option d) is correct
e) ( 172 , 101 )
0.10d+0.05n=22.25.
= 0.10(172) + 0.05(101) = 22.25
= 22.25 = 22.25
Option e) is correct
