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4 years ago

Answer plsss! If the measure of angle 2 is 48 degrees, what is the measure of angle 4? Why?

Mathematics

2 answers:

PolarNik [594]4 years ago

8 0

Answer:

The measure of angle 4 is 48 degrees.

Step-by-step explanation:

When two angles forming an X

shape share a common vertex and
oppose each other

the angle has the same value.

We call this type of angles opposing angles or vertical angles.

Crank4 years ago

3 0

Answer:the measure of angle 4 is 48 degrees

Step-by-step explanation:

The blue horizontal line crosses the red line at a point. Therefore, angle 2 and angle 4 are vertically opposite angles. Vertically opposite angles are equal. Therefore,

If the measure of angle 2 is 48 degrees, then the measure of angle 4 is also 48 degrees.

We can check by looking at the fact that the sum of the angles on a straight line is 180 degrees. It means that

Angle 1 + angle 2 = 180

Angle 1 = 180 - 48 = 132

Also,

Angle 1 + angle 4 = 180

Angle 4 = 180 - 132 = 48

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ser-zykov [4K]

Answer:

See explanation

Step-by-step explanation:

Part A: If Cole eats 3 bananas each day. These 3 bananas contain $3\cdot 0.3=0.9$ mg of iron.

Let x be the number of vitamins Cole takes. Each whole vitamin contains 4 mg of iron, then x vitamins contain 4x mg of iron.

The total amount of iron Cole takes is

$0.9+4x\ mg$

Cole needs to include at least 11 mg and at most 22 mg of iron in his diet each day, so

$11\le 0.9+4x\le 22$

Solve it:

$11-0.9\le 4x\le 22-0.9\\ \\10.1\le 4x\le 21.1\\ \\2.525\le x\le 5.275$

The smallest number of vitamins - 3, the greatest number of vitamins - 5.

Part B: Cole continues to eat 3 bananas each day. He pays $\$2\cdot 7=\$14$ for bananas per week.

If Cole spends a total of $20 on bananas and vitamins this week, then he spent $20 - $14 = $6 on vitamins.

Let x be the number of vitamins Cole takes this week.

First 10 vitamins are free, then x - 10 vitamins each cost $0.50 (he pays an additional dollar for every 2 additional vitamins he purchases) and they cost

$\$0.50(x-10)$

This amount of money is exactly $6, so

$0.50(x-10)=6\\ \\5(x-10)=60\\ \\x-10=12\\ \\x=22$

This means Cole takes 3 vitamins per day (the whole number) and he is able to meet his iron requirement every day this week, based on answer in Part A.

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Answer:

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