Answer:
Hey there!
A congruence transformation maintains the size of the shape.
Thus, a dilation with scale factor 2 is not a congruence transformation.
Let me know if this helps :)
Answer:
slope formula is rise over run / rise divided by run .
Step-by-step explanation:
y2-y1 divided by x2-x1
Answer:
C. 5√3
Step-by-step explanation:
To figure this out, we need to apply the Pythagorean Theorem, <em>a</em><em>²</em><em> </em><em>+</em><em> </em><em>b</em><em>²</em><em> </em><em>=</em><em> </em><em>c</em><em>²,</em><em> </em>where <em>c</em><em> </em>is the "HYPOTENUSE". In this case, <em>c</em><em> </em>is already found for us [10], so the operation we use whenever the hypotenuse is defined is deduction, or subtraction. Apply the Pythagorean Theorem: a² + 25 = 100; 75 = a². Now, to find <em>a</em><em>,</em><em> </em>we need to find two numbers that multiply to 75, where one of them is a PERFECT SQUARE, and in this case, they are 3 and 25. Since the square root of 25 is 5 [in this case, NO NON-NEGATIVE root], that gets moved to the outside of the radical, and 3 [NON-PERFECT SQUARE] stays wrapped under the radical, ending up with <em>5</em><em>√</em><em>3.</em><em> </em>You understand?
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Answer:
36 years old
Step-by-step explanation:
let x = age of Rachael
2x+3 = current ages combined
[(2x+3)+4]+4 = 75
2x+11 = 75
2x = 75-11
2x = 64
x = 32
Rachel is 32 years old. Isaac is 3 years older, which is 35 years old.
Hope this helped! If you need any help, tell me in the comments.
For monthly membership, the cost must be less than $325. We can set up an inequality:-
100 + 30x < 325 where x = number of months of membership
Solving -
30x < 325-100 = 225
x < 225 / 30
x < 7.5 months
The answer is 7 months.
