Answer:
- 33°
- 90° -J°
Step-by-step explanation:
<h3>1)</h3>
If x represents the measure of the angle, its complement is 90-x. The problem statement tells us ...
x +24 = 90 -x
2x = 66 . . . . . add x-24
x = 33 . . . . . . divide by 2
The measure of the angle is 33°.
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<h3>2)</h3>
Using J for x in the given complement relation:
The measure of the complement of J° is (90 -J)°.
Answer:
9ft
Step-by-step explanation:
The area is 135ft and the formula for area is length x width.
on the image it shows the height is 5yds and we want feet since that's that the area is in. a yard = 3 feet so its 3 x 5 = 15.
since the formula to find area is multiplication, use division to find a number in the equation. so
135 divided by 15 = 9.
The length of the base is 9ft.
1. A polynomial function is a function that can be written in the form
f(x)=anxn +an−1xn−1 +an−2xn−2 +...+a2x2 +a1x+a0,
where each a0, a1, etc. represents a real number, and where n is a natural number Here are the steps required for Solving Polynomials by Factoring:
Step 1: Write the equation in the correct form. To be in the correct form, you must remove all parentheses from each side of the equation by distributing, combine all like terms, and finally set the equation equal to zero with the terms written in descending order.
Step 2: Use a factoring strategies to factor the problem.
Step 3: Use the Zero Product Property and set each factor containing a variable equal to zero.
Step 4: Solve each factor that was set equal to zero by getting the x on one side and the answer on the other side.
Example 1 – Solve: 3x3 = 12x
Step 1: Write the equation in the correct form. In this case, we need to set the equation equal to zero with the terms written in descending order.
Step 1
Step 2: Use a factoring strategies to factor the problem.
Step 2
Step 3: Use the Zero Product Property and set each factor containing a variable equal to zero.
Step 3
Step 4: Solve each factor that was set equal to zero by getting the x on one side and the answer on the other side.
Step 4
Example 2 – Solve: x3 + 5x2 = 9x + 45
Step 1: Write the equation in the correct form. In this case, we need to set the equation equal to zero with the terms written in descending order.
Step 1
Step 2: Use a factoring strategies to factor the problem.
Step 2
Step 3: Use the Zero Product Property and set each factor containing a variable equal to zero.
Step 3
Step 4: Solve each factor that was set equal to zero by getting the x on one side and the answer on the other side.
Step 4
Click Here for Practice Problems
Example 3 – Solve: 6x3 – 16x = 4x2
Step 1: Write the equation in the correct form. In this case, we need to set the equation equal to zero with the terms written in descending order.
Step 1
Step 2: Use a factoring strategies to factor the problem.
Step 2
Step 3: Use the Zero Product Property and set each factor containing a variable equal to zero.
Step 3
Step 4: Solve each factor that was set equal to zero by getting the x on one side and the answer on the other side.
Step 4
Click Here for Practice Problems
Example 4 – Solve: 3x2(3x + 4) = 12x(x + 3)
Step 1: Write the equation in the correct form. In this case, we need to remove all parentheses by distributing and set the equation equal to zero with the terms written in descending order.
Step 1
Step 2: Use a factoring strategies to factor the problem.
Step 2
Step 3: Use the Zero Product Property and set each factor containing a variable equal to zero.
Step 3
Step 4: Solve each factor that was set equal to zero by getting the x on one side and the answer on the other side.
Step 4
Click Here for Practice Problems
Example 5 – Solve: 16x4 = 49x2
Step 1: Write the equation in the correct form. In this case, we need to set the equation equal to zero with the terms written in descending order.
Step 1
Step 2: Use a factoring strategies to factor the problem.
Step 2
Step 3: Use the Zero Product Property and set each factor containing a variable equal to zero.
Step 3
Step 4: Solve each factor that was set equal to zero by getting the x on one side and the answer on the other side.
Step 4
Click Here for Practice Problems
Answer:
1: $53750
2: $15975
3: 40
4: 90
5: 51
6a: 20%
6b:204
Step-by-step explanation:
1: to calculate this mulitply 50000*1.075= 53750
2: same deal 15000*1.065=15975
3: We have a ratio of 3:2 and then 60:x because we multiplied the first ratio by 20 to get the 60 in the second we multiply the 2 by 20 as well and get x=40
4: This one is kind of tricky. we know that there are 4 dogs for every 3 cats. We also know that there are 210 animals. This means that 4x+3x=210 solve this and get x=30 you then multiply the ratio 4:3 by 30 and get 120:90
5: 1/5*255=51
5a: 1/5=.2=20%
5b: 255-51=204
