Lol im not doing your summer hw do it yourself
Answer:
D because 6/30 is not the same as 2:10
Answer:
Statements: Reasons:
1) ∠2 and ∠4 are vertical angles given
2) limes <em>m </em>and <em>n </em>intersect at <em>P </em>definition of vertical angles
3) ∠3 and ∠4 are linear pair definition of linear pair
4) ∠2 and ∠3 are linear pair definition of linear pair
5) m∠3 + m∠4 =180 angle addition postulate
6) m∠2 + m∠3 =180 angle addition postulate
7) m∠2 + m∠3 = m∠3 + m∠4 substitution property
8) m∠2 = m∠4 subtraction property
9) ∠2 ≅ ∠4 definition of congruent(≅) angles
Answer:
A) 2 units
Step-by-step explanation:
Given;
x² + y² - 4x - 4y + 4 = 0
Consider general circle equation;
(x - h)² + (y - k)² = r²
where;
(h , k ) is the center of the circle
r is the radius of the circle
x² + y² - 4x - 4y + 4 = 0
subtract 4 from both sides of the equation
x² + y² - 4x - 4y = - 4
square half of coefficient of x and y, and add them to both sides of the equation
x² + - 4x + (-2)² + y² - 4y + (-2)² = - 4 + (-2)² + (-2)²
factorize x and y
(x - 2)² + (y - 2)² = - 4 + 4 + 4
(x - 2)² + (y - 2)² = 4
(x - 2)² + (y - 2)² = 2²
Compare this final equation to general equation of a circle
(x - 2)² + (y - 2)² = 2²
(x - h)² + (y - k)² = r²
r = 2
Thus, the length of a radius of the circle is 2 units
step-by-step explanation:
every time we see "a number" or "the same number," we can add a variable (we'll use x here). rewriting the problem, we get: 8 less than 2 times x is gr8er than the sum of x and 9.
next, we can work backwards to write an inequality. we know from the word problem above that the number on the left side of the equation is 8 less than 2x, so we can rewrite that part like this: 2x-8.
for the right side of the equation, all we have to do is simplify "the sum of x and 9" to x + 9. so now the inequality should look like this: 2x - 8 > x + 9.
now we'll solve the inequality just like an equation: subtract x from both sides of the inequality, so now we have: x - 8 > 9.
then, we can add 8 to both sides to get the x by itself, and we get the answer: x > 15
hope this helps! <em>:)</em>
