Answer:
1 = 90°, 2 = 66°
Step-by-step explanation:
Since the diagonals of a rhombus are perpendicular, ∠1 = 90°. Using the Exterior Angles Theorem (exterior angle = sum of remote interior angles, we see that ∠2 = 90 - 24 = 66°.
-4<em>n</em> ≥ 12 ==> <em>n</em> ≤ -3
<em>n</em> + 5 > 2 ==> <em>n</em> > -3
But <em>n</em> cannot be both less than/equal to -3 AND greater than -3, so there are no integers <em>n</em> that satisfy these inequalities.
Here's how you do it: you find all the distances between the three points and add them together to calculate the perimeter of the triangle. To calculate for the distance between two points, the formula is
d = √[(x2 - x1)² + (y2 - y1)²]
So, just take two points, assign x1 and x2 with corresponding y1 and y2, then you get the answer.
Points: D(1,4), E(3,-2), C(-3,1)
After substituting the answers would be:
DE = 6.3 units
CE = 6.7 units
CD = 5 units
Perimeter = 6.3 + 6.7 + 5
Perimeter = 18 units
Answer:
Each day, you record the high temperature* (you don't necessarily need to say that it is for a science project). On Day 1, it was 4* less than Day 10**. It hit 62* F on Day 10. What was the high temperature on Day 1?
Because we know that on Day 1, the temperature was 4* less than on Day 10, and the high temperature on Day 10 was 62*, the high temperature on Day 1 was therefore 58*. Because 62 - 4 = 58.
Step-by-step explanation:
*You don't necessarily need to say that it was for a science project.
**The information for Day 4 is irrelevant too because we are not given the temperature for Day 4, therefore it does not help us find the answer.
The answer: "4x² (x − 3)(x − 3)" ; or, write as: "4x² (x − 3)² " .
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Explanation:
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Given: " 4x⁴ − 24x³ + 36x² " ; The least common factor is: 4x² ;
since the least common NUMBER as a factor is "4"; and the least common "variable" as a factor is "x² " ;
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4x⁴ − 24x³ + 36x² = 4x² (x² − 6x + 9) ;
Factor the: "(x² − 6x + 9)" ;
(x² − 6x + 9) = (x − 3)(x − 3) ;
Rewrite: "4x² (x − 3)(x − 3)" ; or, write as: "4x² (x − 3)² " .
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