Answer:
yes; x=7
Step-by-step explanation:
When two corresponding angles are congruent, all angles are congruent, so the triangles are similar. The sides of the triangle on the right are 30/25 = 6/5 times the length of the sides of the left triangle, so side MP will be 6/5 times the length of JL, or (6/5)·20 = 24.
Then the expression for that length lets us find the value of x:
24 = 4x -4
6 = x -1 . . . . . divide by 4
7 = x . . . . . . . add 1
Answer:
Exponential function
Step-by-step explanation:
It is better if the situation on ground is represented by an exponential equation.
This is because, since we have the number of teams reducing by exactly half at every playoff round, this means that we have a base of 2 which can be raised to a negative power since we are talking about a decrease.
We can then place the number of rounds as an adjoining power to what the two is raised and this easily will get us the number of teams which is eventually decreased at every point of the playoffs
Answer:
13
Step-by-step explanation:
Mark me brainliest plz
The formula for simple interest is <em>I</em> = <em>prt</em>, where <em>I </em>is the amount of interest, <em>p</em> is the principal invested, <em>r</em> is the rate as a decimal number and <em>t</em> is the amount of time. Substituting our given information we have
128 = <em>p</em>(0.016)(2) ----- 1.6% = 1.6/100 = 0.016
128 = <em>p</em>(0.032)
Divide both sides by 0.032:
128/0.032 = <em>p</em>(0.032)/0.032
4000 = <em>p</em>
He needs to invest $4000.
Answer:
b=72
Step-by-step explanation:
1/3(b+6) = 1/4b+8
First, open the parentheses, which means multiplying both variables in the parentheses by 1/3.
1/3b+2 = 1/4b+8
Then, subtract 2 from both sides.
1/3b = 1/4b+6
Subtract 1/4b from both sides, but first change the fractions so that they have the same denominator.
4/12b = 3/12b+6
1/12b = 6
Finally, divide 1/12 on both sides which gives us b = 72
