Answer:
180, 180, 148, 180, 148
Step-by-step explanation:
The two rules in play here are ...
- the sum of interior angles of a triangle is 180°
- the angles of a linear pair are supplementary (they total 180°)
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The first of these rules answers the first two questions:
- interior angles total 180°
- angles 1, 3, 4 total 180°
We can subtract the measure of angle 1 from both sides of the previous equation to find the sum of the remaining two angles.
- angles 3 and 4 total 148°
The second rule answers the next question:
- angles 1 and 2 total 180°
As before, subtracting the value of angle 1 from both sides of the equation gives ...
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<em>Additional comment</em>
Of course, the subtraction property of equality comes into play, also. For some unknown, X, you have (in both cases) ...
X + 32° = 180°
X +32° -32° = 180° -32° . . . . . . subtraction property of equality
X = 148° . . . . . . . . simplify
In the first case, X is the sum of angles 3 and 4. In the second case, X is angle 2 only.
Answer:
$13.6
Step-by-step explanation:
Jane bought 3 CDs that were each the same price. So let the price of each CD be ‘x’.
It is given that including sales tax, she paid a total of $45.30.
Also each CD had a tax of $1.50. We need to find out what the price of each CD was before tax.
Since the tax for all 3 CDs was same, the total amount of tax that she paid was:
3 * 1.50 = 4.50
Therefore the total tax on 3 CDs is $4.50
Since we already know the total price she paid for the CDs including taxes, we can find the price of each CD by the following way:
3x + 4.50 = 45.30
3x = 45.30 - 4.50
3x = 40.8
x = 13.6
Therefore the price of each CD before tax is $13.6.
If she needs to use 225g of flour for each cake and wants to make 18 cakes she will need 4050g (225x18=4050) of flour but she only has 360g which is obviously not enough flour. For one cake she needs 75g of sugar and since she needs to make 18 cakes she needs 1350g (75x18=1350) of sugar. She only has 135g so it’s not enough.
Answer:
-9
Step-by-step explanation:
+49/-7=-7
-2-7=-9
If he is out of flour, and needs 2 cups for each pizza. He is making three so 2x3 is 6 cups total. 20-6=14
