Remark
Forget the Gamestop. I'd never use it. This one is on the house.
Solution
2.5(10 - x) + 10 = 72 - 1.5x*(5x + 12) The first step is to remove the brackets. Be very careful you understand the bracket on the right.
25 - 2.5x + 10 = 72 - 7.5x - 18 Study the signs carefully. Collect like terms.
35 - 2.5x = 54 - 7.5x Add 7.5x to both sides.
35 - 2.5x + 7.5x = 54 - 7.5x + 7.5x
35 + 5x = 54 Subtract 35 from both sides.
5x = 19 Divide by 5
x = 19/5
x = 3 4/5 = 3.8
Check
When you numbers are so cumbersome, you should check the answer.
<em><u>LHS</u></em>
2.5(10 - 3.8) + 10
2.5(6.2) + 10
15.5 + 10
25.5
<em><u>RHS</u></em>
72 - 1.5(5*3.8 +12)
72 - 1.5(19 + 12)
72 - 1.5(31)
72 - 46.5
25.5
<em><u>RHS = LHS</u></em> The solution checks.
Let 0-1 be successes and 2-9 be failures. Using the simulation, we get:
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The most consecutive kicks he gets past one hundred yards is A. three.
Answer:
a) 10 inches
b) 48 feet
Step-by-step explanation:
10 inches, 60/6 = 10
48 feet, 8*6 = 48
Answer:

Step-by-step explanation:
We want to find angle DEB. We know AB is perpendicular to AC, CD is congruent to CE and angle B is 48 degrees.
ABC is a triangle. The angles in a triangle must add up to 180 degrees. Therefore:
We know two angles: ∠B= 48° and ∠A= 90° (the little square denotes a right angle).
- 90°+48°+ ∠C= 180° <em>Substitute values in.</em>
- 138°+ ∠C =180° <em>Add</em>
- 138°-138° ∠C= 180°-138° <em>Subtract 138 from both sides.</em>
- ∠C= 42°
Note that angle C is part of another triangle. It is isosceles because the two legs (CD and CE) are congruent. Therefore, the two base angles (E and D) are congruent.
- ∠C+∠D+∠E= 180°
- ∠C+ 2∠D= 180° <em>Angles D and E are congruent</em>
- 42°+ 2∠D= 180° <em>Substitute 42 in for angle C</em>
- 42°-42° +2∠D= 180°-42° <em>Subtract 42 from both sides.</em>
- 2∠D= 138°
- 2∠D/2= 138°/2 <em>Divide both sides by 2.</em>
- ∠D= 69°
∠D and ∠E equal 69 degrees.
Angle CED (∠E) and DEB are on a straight line together. Therefore, they are supplementary and equal 180 degrees.
- ∠CED+ ∠DEB= 180
- 69° +∠DEB= 180° <em>Substitute 69 for angle CED</em>
- 69°-69° +∠DEB= 180°-69° <em>Subtract 69 from both sides</em>
- ∠DEB=111°
Angle DEB is equal to <u>111 degrees</u>
Answer:

Step-by-step explanation: