Answer:
11.0 cm
P=38 cm
38/3=12.67cm length of one side
Base of triangle = 12.67/2 =6.34 cm
Use formula 

x = altitude of triangle
Cory brings five 1-gallon jugs of juice.
5 jugs * 1 gallon per jug = 5 gallons of juice total
Knowing that the cups Cory is using to serve can hold 8 fluid ounces, we are asked to figure out how many cups Cory can serve.
1 gallon = 128 fluid ounces
5 gallons = x fluid ounces
Let's set up a proportional equation.
1/128 = 5/x
Now, we can use cross products to simplify and solve.
1 * x = 128 * 5
x = 640 fluid ounces.
Therefore, Cory has a total of 640 fluid ounces.
To find out how many cups he can serve, we need to divide the total amount of juice he has (640 oz) by the amount of juice in each cup (8 oz).
640 / 8 = 80
Thus, Cory can serve 80 cups of juice at parent night.
Answer:
3,-3) becomes ; (3 + 5 , -3-12) ; (8,-15)
(7,-10) becomes;( 7 + 5, -10-12) ; (12,-22)
(13,-14) becomes (7 + 13, -14-10) ; (20,-24)
Step-by-step explanation:
What we have to do here is to add 5 to the x-axis value and subtract 12 from the y-axis value
(3,-3) becomes ; (3 + 5 , -3-12) ; (8,-15)
(7,-10) becomes;( 7 + 5, -10-12) ; (12,-22)
(13,-14) becomes (7 + 13, -14-10) ; (20,-24)
Answer:
Angle 3 is 49 degrees
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Explanation:
Angle 1 is 50 degrees and angle 2 is 48 degrees. Added up, they total to 98 degrees. This is angle DEF.
Angle DEF is congruent to angle ABC because they are alternate exterior angles and because lines m and n are parallel
We are told that angle ABC is bisected (aka cut in half) because of line s; which means that the angles labeled "4" and "5" are exactly half that of angle ABC = 98 degrees
Therefore, angle 4 is 98/2 = 49 degrees and so is angle 3 (due to angles 3 and 4 being vertical angles; angle 3 = angle 4)