-10x +8y
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-5x - 4y ) 50x^2 - 32y^2
50x^2 + 40xy
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-40xy - 32y^2
-40xy -32y^2
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answer is -10x + 8y
Angle LIS is congruent to angle DIE making both of them 61°, angle LID and angle SIE are congruent as well. When you add LIS, DIE, LID, and SIE all add to 360°. So 61+61 equals 122. 360-122 is 238. You divide 238 by 2 to get 119. That will be the measure of angle SIE. A triangle is a total of 180° so add up the angles 27° + 119° to get 146°. Subtract that from 180° to get 34°.
34° is the measure of ISE
Hope this helps!
Answer:
The laptop will not fit in the case.
Step-by-step explanation:
We need to find the width of the laptop to know if it fits in the case. We have:
<u>For the laptop</u>:
h: is the height of the laptop = 10 inch
d: is the widescreen of the laptop (diagonal) = 17 inch
w: is the width of the laptop =?
<u>For the laptop case</u>:
H: is the height of the laptop case = 10.5 inch
W: is the width of the laptop case = 13 inch
So, the width of the laptop can be found by using Pitagoras:


Hence, the laptop is 13.7 inches wide.
Therefore, since the laptop is wider than the case, the laptop will not fit in the case.
I hope it helps you!
Answer:
Simply create a scatter plot then write in a line of best fit.
I'm not 100% sure
Answer:
Volume of water required to fill the pyramid is rd of the water required to fill the prism completely.
Step-by-step explanation:
Let Mr Jackson has an empty rectangular pyramid and rectangular prism.
Height and base of both are congruent.
So volume of rectangular pyramid
Volume of the rectangular prism = (Area of the base)(height)
[ Since ]
Therefore, amount of water required to fill the pyramid is rd of the water required to fill the prism completely.