Answer:
c=5
Step-by-step explanation:
Simplify both sides of the equation.
4(6c+5)−2(3c−5)=120
(4)(6c)+(4)(5)+(−2)(3c)+(−2)(−5)=120(Distribute)
24c+20+−6c+10=120
(24c+−6c)+(20+10)=120(Combine Like Terms)
18c+30=120
Subtract 30 from both sides.
18c+30−30=120−30
18c=90
Divide both sides by 18.
c=5
hope this helps... :/
<span>Based in the information given in the problem, you must apply the The Angle Bisector Theorem. Let's call the triangle: "ABC"; the internal bisector of the angle that divides its opposite side: "AP"; and "x": the longest and shortest possible lengths of the third side of the triangle.
If BP= 6 cm and CP= 5 cm, we have:
BP/CP = AB/AC
We don't know if second side of the triangle (6.9 centimeters long) is AB or AC, so:
1. If AB = 6.9 cm and AC = x:
6/5 = 6.9/x
x = (5x6.9)/6
x = 5.80 cm
2. If AC= 6.9 cm and AB= x:
6/5 = x/6.9
x = 6.9x6/5
x = 8.30 cm
Then, the answer is:
The longest possible length of the third side of the triangle is 8.30 cm and the and shortest length of it is 5.80 cm.</span>
Answer:
The probability is 1/8
Step-by-step explanation:
We have 2 nectarines in a total of 16 pieces of fruit in a basket, so the probability of random selected piece of fruit being a nectarine is the number of nectarines over the total number of pieces of fruit:
Probability = Number of nectarines / Total pieces = 2 / 16
To find the fraction in the simplest form, we divide the numerator and denominator by 2:
Probability = (2/2) / (16/2) = 1/8
Answer: The answer to the first question is 20
Step-by-step explanation:
Answer:
C,
Step-by-step explanation:
:)
