9514 1404 393
Answer:
a = 64, b = 90, c = 26, d = 90, e = 26, f = 120, g = 120, h = 60,
i = 56, j = 124, k = 56
Step-by-step explanation:
Vertical angles are congruent; linear pairs are supplementary; two angles dividing a right angle are complementary. These are the angle relations you need to know to solve this.
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Working from the top and from the given angles, ...
h = 60°
f = g = 180° -h = 120°
j = 124°
k = i = 180° -124° = 56°
a = 64°
b = d = 90°
c = e = 90° -64° = 26°
In summary, measures in degrees are ...
a = 64, b = 90, c = 26, d = 90, e = 26, f = 120, g = 120, h = 60,
i = 56, j = 124, k = 56
Answer: 2.4 degrees F
Step-by-step explanation:
The additive inverse of a number is what you can add to that number for the sum to be zero. For real numbers, such as rational numbers, that means the additive inverse can be found by just flipping the sign of the number.
The additive inverse property says if you add a number and its additive inverse, then the sum is zero.
For example, let's use the number 3. The additive inverse of 3 is -3, since 3 + (-3) = 0. This is also true the other way around. The additive inverse of -3 is 3.
When subtracting rational numbers, remember that subtracting is the same as adding a negative! That means 3 - 3 is the same as 3 + (-3) or -3 - (-3) is the same as -3 + 3. Both of these sums involve a number and its additive inverse and they add up to zero.
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For the problem, I don't think you gave me the complete problem, or perhaps there's a typo? Let me know and then I can edit my response to help you out :)
Answer:
Blue: y = x² + 3
Purple: y = (x + 4)²
Step-by-step explanation:
The parabolas are "transformed", meaning they have been shifted on the coordinate grid. All parabolas will have the equation of "y = x²", any additional transformation will add onto that.
Blue: Looking at the red parabola, its lowest point is only three units down from the blue's lowest points. Meaning the blue parabola went only three units up. So you only have to do the "+ 3" in the equation.
Purple: Like in blue, we're gonna look at the purple's lowest point and compare it to red's lowest point. The purple parabola seems to have shifted only four units to the left. Though, instead of adding onto the equation like in the blue parabola, any changes on the x-axis will be put into parenthesis. IN ADDITION, the sign will be the opposite of what it is on the coordinate grid. For example, the purple parabola is on the -4 of the x-axis. Instead of putting "(x - 4)", we put "(x + 4)".
Try the next two problems on your own. They will be similarly structured to the two answers above. If you need more help, lemme know. :)
