Answer:
Multiply 1st equation by 3
Step-by-step explanation:
To eliminate -3y, we must multiply the 1st equation by such a number that the -y becomes -3y. This can be done by multiplying the 1st equation by 3.
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5m+2(m+8)+3
5m+2m+16+3
7m+19
Answer:
m∠y=50°
m∠x=50°
Step-by-step explanation:
we know that
The angles in matching corners are called <u><em>corresponding angles</em></u>. When the two lines are parallel Corresponding Angles are equal
so
m∠y=50° -----> by corresponding angles
and
The angles that are formed on opposite sides of the transversal and inside the two lines are <u><em>alternate interior angles</em></u>. When the lines are parallel, the alternate interior angles are equal.
so
m∠x=m∠y -----> by alternate interior angles
so
m∠x=50°
therefore
m∠y=50°
m∠x=50°
Answer:
10w² - 35w + 3w² + 8w - 4w² + 9w
= 10w² + 3w²- 4w² - 35w + 8w + 9w
= 9w²- 18w
= 9( w² - 2w )
Answer: The sailboat is at a distance of 15 km from the port.
Step-by-step explanation: Given that a sail boat leaves port and sails 12 kilometers west and then 9 kilometers north.
We are to find the distance between the sailboat from the port in kilometers.
Since the directions west and north are at right-angles, we can visualize the movement of the sailboat in the form of a right-angled triangle as shown in the attached figure.
The sailboat moves leaves the port at P and reach O after sailing 12 km west. From point O, again it moves towards north 9 km and reach the point S.
PS = ?
Using the Pythagoras theorem, we have from right-angled triangle SOP,
Thus, the sailboat is at a distance of 15 km from the port.