Answer:
15
Step-by-step explanation:
(whole secant) x (external part) = (tangent)^2
(5+x) * 5 = 10^2
Distribute
25 +5x = 100
Subtract 25 from each side
25-25 +5x = 100-25
5x= 75
Divide by 5
5x/5 = 75/5
x = 15
55mph.
you can solve it using the equation distance=speed x time
your total distance is 714, and you have 2 trains, one traveling some speed, x, and one traveling x+8, both traveling for 7 hours.
your equation would look like this
and you can then solve for x, which would be 47. this is the speed of the slower train, but 47+8=55 with give you the speed of the faster train.
Answer:
The price of the computer is $1,152
Step-by-step explanation:
Let the price of the computer be $x
The first boy boy had 7/8 of this amount, the amount he has is thus 7/8 × $x = 7x/8
The second boy had 5/6 of what the first boy had. The amount of money he has is thus 5/6 × 7x/8 = 35x/48
Now, the addition of what they have is $696 more than what they need to pay. This amount is x+ 696
Mathematically, this can be represented as;
7x/8 + 35x/48 = x + 696
(42x + 35x)/48 = (x + 696)
77x/48 = (x + 696)
77x = 48(x + 696)
77x = 48x + 33408
77x - 48x = 33408
29x = 33, 408
x = 33,408/29
x = $1,152
Answer:
3/4 gallons of juice
Step-by-step explanation:
Katie bought 2 one-gallon bottles for a party.
2 one-gallon bottles = 2-gallon bottles of juice
We are told that:
Her guest drank 5/4 gallons of juice.
The fraction of juice leftover is calculated as:
2 gallons of juice - 5/4 gallons of juice
2 - 5/4
Lowest Common Denominator = 4
2/1 - 5/4
= 8 - 5/4
= 3/4 gallons of juice
Therefore, the fraction of juice leftover is 3/4 gallons of juice
Answer:
Step-by-step explanation:
As we know that from a theorem,
A greater angle of a triangle is opposite a greater side. Let ABC be a triangle in which angle ABC is greater than angle BCA; then side AC is also greater than side AB. For if it is not greater, then AC is either equal to AB or less.
As we have angle A =120 so it means the other 2 angles will be less than angle A , hence the opposite side to angle A is BC ,
Hence BC line is the longest line in triangle ABC
