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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Flying with the wind a plane went 198 mph. Flying into the same wind the plane only went 162 mph. Find the speed of the plane in

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Answer: speed of plane in still air is 180 miles per hour

speed of the wind is 18 miles per hour

Step-by-step explanation:

Flying with the wind, the plane went 198 miles per hour. This means if was flying in the same direction with the wind. This is same as the speed in still air because there was no opposition from the wind.

Flying into the same wind the plane only went 162 mph. This means that the plane flew against the wind

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9(5x + 1) ÷ 3y

alexdok [17]

The expression obtained after solving the given expression is, $\rm \frac{(15x+3)}{y}$

<h3>What is a BODMAS rule?</h3>

For the Bracket, Order, Division, Multiplication, Addition, and Subtraction rules, BODMAS stands for Bracket, Order, Division, Multiplication, Addition, and Subtraction.

Given expression ;

9(5x + 1) ÷ 3y

Follow the BODMAS rule;

Step 1; Divide

$\rm \frac{9(5x+1)}{3y} \\\\ \frac{3(5x+1)}{y} \\\\$