There is a bag filled with 5 blue and 6 red marbles.
2 answers:
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The angle based on the information given about the rail is 163°.
<h3>How to illustrate the information?</h3>From the information given, the value of angle 2 will be:
17° + x = 180° (angle on a straight line)
Collect like terms
x = 180° - 17°
x = 163°
In this case, it should be noted that angle 1 and 2 are alternate angles. Therefore, angle 1 will be 163°.
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Answer:
Approximate length of the diagonal fencing needed is 45.25 cm.
Step-by-step explanation:
Here, each side of the square shaped land = 32 ft
Now, the diagonal fencing is made in side the plot so that the land is divided into two right triangles.
<u>In the triangle:</u>
Base side of the triangle = 32 cm
Perpendicular length of the triangle = 32 cm
Let us assume the hypotenuse of the triangle = k cm
⇒The length of the diagonal in the square = k cm
by <u>PYTHAGORAS THEOREM</u> in a right angled triangle:
⇒
or, k = 45.25 cm
Hence,the approximate length of the diagonal fencing needed to fence the square land is 45.25 cm.
The right answer is Option D.
Step-by-step explanation:
Let,
Kyle's money = x
Hayden's money = y
Jeremy's money = z
According to statements;
Kyle has three times as much money in his savings account as Hayden.
x = 3y Eqn 1
Hayden has twice as much money in his savings account as Jeremy.
z = 2y Eqn 2
Combined Kyle, Hayden, and Jeremy have a total of $612.
x+y+z=612 Eqn 3
Putting value of x and z from Eqn 1 and 2 in Eqn 3
Dividing both sides by 6
Putting in Eqn 1;
Kyle has $306 in his account.
The right answer is Option D.
Keywords: Linear equations, division
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