It’s 49 is equal to 7 times 7
Evan does 33 more push-ups than Lucy
let x be the number of push-ups Lucy does , then
Evan does 4x - 9 push-ups
The total number of push-ups is 61
hence x + 4x - 9 = 61 has to be solved
that is 5x - 9 = 61
add 9 to both sides
5x = 61 + 9 = 70
divide both sides by 5
x = = 14
Lucy does 14 push-ups and Evan does 4x - 9 =(4 × 14) - 9 = 47
Thus Evan does 47 - 14 = 33 more push-ups than Lucy
3x3x3x5x5 is in nonstandard form. Please, use " ^ " to denote exponentiation:
3x^3x^3x^5x^5.
Noting that a^b*a^c = a^(b+c), rewrite 3x^3x^3x^5x^5 as 3x^(3+3+5+5) = 3x^16.
1. The problem gives the following information: <span>Ashley said she drank 1/2 pints and Claire said she drank 0.7 pints.
2. Therefore, to solve this problem you must follow the proccedure that is shown below:
3. You must sum the amount of water that Ashley and Claire drank before the practice. Then, you have:
1/2 pints=0.5 pints (Ashley)
0.7 pints (Claire)
x=0.5 pints+0.7 pints
x=1.2 pints
</span><span>
How many pints of water did Ashley and Claire drink combined?
</span><span>
The answer is: 1.2 pints or 1 1/5 pints
</span>
Answer:
The completed proof is presented as follows;
The two column proof is presented as follows;
Statements Reason
1. ║ , J is the midpoint of 1. Given
2. ∠IHJ ≅ ∠JLK 2. Alternate angles are congruent
3. ∠IJH ≅ ∠KJL 3. Vertically opposite angles
4. ≅ 4. Definition of midpoint
5. ΔHIJ ≅ ΔLKJ 5. By ASA rule of congruency
Step-by-step explanation:
Alternate angles formed by the crossing of the two parallel lines and , by the transversal are equal
Vertically opposite angles formed by the crossing of two straight lines and are always equal
A midpoint divides a line into two equal halves
Angle-Side-Angle, ASA rule of congruency states that two triangles ΔHIJ and ΔLKJ, that have two congruent angles, ∠IHJ in ΔHIJ ≅ ∠JLK in ΔLKJ and ∠IJH in ΔHIJ ≅ ∠KJL in ΔLKJ, and that the included sides between the two congruent angles is also congruent ≅ , then the two triangles are congruent, ΔHIJ ≅ ΔLKJ.