Answer:
171
Option D is the correct option.
Solution,
![4. {(2 + 5)}^{2} - {5}^{2} \\ =4. {(7)}^{2} - 5 \times 5 \\ =4 \times 7 \times 7 - 5 \times 5 \\ = 196 - 25 \\ = 171](https://tex.z-dn.net/?f=4.%20%7B%282%20%2B%205%29%7D%5E%7B2%7D%20%20-%20%20%7B5%7D%5E%7B2%7D%20%20%5C%5C%20%20%3D4.%20%7B%287%29%7D%5E%7B2%7D%20%20-%205%20%5Ctimes%205%20%5C%5C%20%20%3D4%20%5Ctimes%20%207%20%5Ctimes%207%20-%205%20%20%5Ctimes%205%20%5C%5C%20%20%3D%20196%20-%2025%20%5C%5C%20%20%3D%20171)
Hope this helps..
Good luck on your assignment...
Answers:
Rent = 750
Savings = 750
Groceries = 625 (you are correct)
Other = 375
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Explanation:
Convert each percent to decimal form. You do this by moving the decimal point 2 spots to the left.
Rent has 30% turn into 0.30, which multiplies with 2500 to get 0.30*2500 = 750
For savings, the same multiplier is used because we also have 30% here as well. So the same amount is devoted to savings.
You have the correct answer for groceries. Multiply 0.25 with 2500 to get 625. Nice work on getting the correct answer here.
Finally, we have 15% devoted to other, so we multiply 0.15 by 2500 and we get 0.15*2500 = 375
As a check, we can add up the subtotals 750, 750, 625, 375 to get 750+750+625+375 = 2500 which helps us confirm our answers.
The order of the start of the proof seems fine; we're to choose the next steps I guess.
segment UV is parallel to segment WZ Given
Points S, Q, R, and T all lie on the same line. Given
m∠SQT = 180° Definition of a Straight Angle
m∠SQV + m∠VQT = m∠SQT Angle Addition Postulate
m∠SQV + m∠VQT = 180° Substitution Property of Equality
That's all valid up to here. It seems to me sort of the hard way to get to linear supplements but here we are.
ZRS is mentioned in the rest of the lines; let's find the one that comes first.
III m∠VQT + m∠ZRS = 180° Same-Side Interior Angles Theorem
Now we have two things equal to 180 degrees, so they're equal to each other.
II m∠SQV + m∠VQT = m∠VQT + m∠ZRS Substitution Property of Equality
Now comes
I m∠SQV + m∠VQT − m∠VQT = m∠VQT + m∠ZRS − m∠VQT
m∠SQV = m∠ZRS Subtraction Property of Equality
And we conclude,
∠SQV ≅ ∠ZRS Definition of Congruency