Answer:
Step-by-step explanation:
Since we are finding a parallel line, the slopes will be the same, so the second equation will also have a slope of -5.
Then, to find the y-intercept, we can use the point given and plug in.
So the equation comes out to be
We can check by plugging in the given point again.
Answer: x = 11 degrees
Step by step explanation:
Triangle rule states that all angles of a trundle must equal to 180 degrees. So we have two known angles, therefore we can subtract them from the 180 degree total.
180-109-43
=28
Now to solve for x we have the equation
4x-16=28
We add 16 to both sides to isolate x
4x=44
Now we divide each side by 4 to get rid of the coefficient
x=11
Step-by-step explanation:
1. 4^2 = 16
2. 32/16 = 2
3. 2*3 = 6
4. 17-6=11
5. 11 + 6 = 17
The answer is 17
Answer:
475
Step-by-step explanation:
Is means equals. We need to change 8% to a decimal. 8% = .08. Of means multiply. X is the unknown number.
38 = .08 * x
Divide each side by .08
38/.08 = .08x /.08
475 = x
The unknown number is 475
Answer:
BE = 49 cm
Step-by-step explanation:
Use Pythagorean theorem
(hypotenuse)² = (base)² + (leg)²
ΔDEF,
DE² + EF² = FD²
DE² + 63² = 65²
DE² + 3969 = 4225
DE² = 4225 - 3969
DE² = 256
DE = √256 = √(16*16)
DE = 16 cm
ΔCBD,
BC² + BD² = CD²
56² +BD² = 65²
3136 + BD² = 4225
BD² = 4225 - 3136
BD² = 1089
BD = √1089 = √(33*33)
BD = 33 cm
BE = BD + DE
= 33 + 16
BE = 49 cm
