Solve for x: x = Answers: 22.5 30 45

Mathematics

1 answer:

AVprozaik [17]2 years ago

6 0

Answer: 22.5 degrees

Step-by-Step Explanation:

As we can see, we are given a line, which is a straight angle. Hence, it will be of 180 degrees.

=> All the angles sum up to 180.

Therefore,
=> 3x + x + 90 = 180
= 4x + 90 = 180
= 4x = 180 - 90 = 90
=> x = 90/4 = 22.5

Therefore, x = 22.5 degrees

Verification:

=> 3x + x + 90 = 180
= 3(22.5) + 22.5 + 90 = 180
= 67.5 + 22.5 + 90 = 180
= 90 + 90 = 180
=> 180 = 180
=> LHS = RHS

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Kerry and her brother and noticed there is 3/4 of a pint of ice cream in the freezer. After they eat some ice cream there is 1/3

7nadin3 [17]

Answer:

$\frac{5}{12} \ of\ a \ pint$ .

Step-by-step explanation:

Given:

Kerry and her brother and noticed there is 3/4 of a pint of ice cream in the freezer.

After they eat some ice cream there is 1/3 of a pint left.

Question asked:

How much ice cream did Kerry and her brother eat ?

Solution:

Total ice cream in the freezer = $\frac{3}{4} \ of\ a\ pint$

Ice cream left = $\frac{1}{3}\ of\ a \ pint$

<h3>They ate = Total ice cream in the freezer - Ice cream left after they ate</h3>

$=\frac{3}{4} -\frac{1}{3} \\ \\\\Taking \ LCM \ of 4 \ and\ 3, we \ got ,12\\ \\=\frac{3\times3-4\times1}{12} \\\\ =\frac{9-4}{12} \\ \\ =\frac{5}{12}$