A man jogs to the shop and back in half an hour on the way he jogs at 4m/s and on the way back he jogs at 5m/s ignoring time spe
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Amount of flour used in bread recipe = cups
Amount of flour used in muffin recipe = cups
We have to determine how much more flour is in the recipe.
Since, more amount of flour is used in bread recipe than in muffin recipe.
Total amount of more flour =
=
=
=
Therefore, more cup of flour is used in bread recipe than in muffin recipe.
Now, we will determine the total amount of flour used in both recipe.
Total amount of flour used in bread and muffin recipe
=
=
=
= 6 cups
Therefore, total 6 cups of flour are used in both the recipes.
<h3>28.</h3>
The path of any fair ball will divide the 90° angle between foul lines into complementary angles. The angle with the first-base foul line is ...
... 90° -27° = 63°
<h3>30.</h3>The attached picture shows the two angles "constructed" using a protractor. It is not possible to construct a 97° angle with compass and straight-edge
<h3>32.</h3>Let x represent the measure of the complement. Then the angle that is 6° less than the meaure of the complement is x-6°. The angle and its complement total 90°, so we have ...
... (x-6°) + (x) = 90°
... 2x - 6° = 90° . . . . . simplify
... 2x = 96° . . . . . . . . .add 6°
... x = 48° . . . . . . . . . . divide by 2
... (x-6°) = 48°-6° = 42°
The angles are 42° and 48°.
<h3>34.</h3>Let x represent the measure of the angle. Then its supplement is 180°-x, and half that is (180°-x)/2. The angle is 3° more than this, so we have
... x = (180° -x)/2 +3°
... x -3° = (180° -x)/2 . . . . subtract 3°
... 2x -6° = 180° -x . . . . . .multiply by 2
... 3x -6° = 180° . . . . . . . .add x
... x - 2° = 60° . . . . . . . . . divide by 3 to get x by itself
... x = 62° . . . . . . . . . . . . add 2°
... The supplementary angle is 180° -62° = 118°, half of which is 59°.
One angle is 62°; half the measure of its supplement is 59°; it supplement is 118°.