7. Straight lines are also = to 180°
If you look at the diagram, when you add the two angles together, they form a straight line.
Since the angles add up to 180°, you can do:
(x + 25)° + (4x + 5)° = 180°
x + 25 + 4x + 5 = 180 Combine like terms
5x + 30 = 180 Subtract 30 on both sides
5x = 150 Divide 5 on both sides
x = 30
Answer:
-8 -8
Step-by-step explanation:
Because it is the most reasonable
The total cereal mixture is 45 kilograms
<em><u>Solution:</u></em>
Given that, cereal mixture contains Almond, Wheat, and Corn in the ratio of 3:5:7
Therefore,
Almond : Wheat : Corn = 3 : 5 : 7
Let the almond present be 3x
Let the wheat present be 5x
Let the corn present be 7x
Therefore,
Total cereal mixture = 3x + 5x + 7x
Total cereal mixture = 15x
<em><u>Given that mixture contains 9 kg of almond</u></em>
Almond = 9
We know that,
Almond present = 3x
3x = 9
x = 3
Therefore,
Total cereal mixture = 15x = 15(3) = 45
Thus total cereal mixture is 45 kilograms
Answer: Area of cross section that is parallel to face CDHG is 432 cm².
Step-by-step explanation:
Since we have given that
There is a cross section that is parallel to face CDHG.
So, Length of cross section would be 36 cm
Width of cross section would be 12 cm.
So, Area of cross section would be

Hence, Area of cross section that is parallel to face CDHG is 432 cm².
Answer:
38,325 dinners.
Step-by-step explanation:
We have been given that last year the manager of a health care facility served 36,500 dinners. The manager estimates an increase of 5% in the number of dinners to be served next year.
The estimated number of dinners next year would be 36,500 plus 5% of 36,500.




Therefore, 38,325 dinners will be served next year.