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3 years ago

Two angles are ____________________ if they are across from each other and are congruent (same measure).

Mathematics

1 answer:

dimulka [17.4K]3 years ago

8 0

Answer:

Vertical Angles

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Of a total of 6,000.00, part was invested at a simple interest rate of 8% and part at 7% if the total interest income for one ye

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<h2>Hope this helps have a bless day❤️</h2>

Step-by-step explanation:

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A rope from the top of a pole is anchored to the ground which is 55 ft away from the base of the pole. The pole is 48 ft tall. W

Irina-Kira [14]

Answer:

73 feet.

Step-by-step explanation:

Given:

A rope from the top of a pole is anchored to the ground which is 55 ft away from the base of the pole.

The pole is 48 ft tall.

Question asked:

What is the length of the rope?

Solution:

Here we found that a right angle triangle is formed in which base and height is given <u>as shown in the figure, </u>we have to find the longest side of the triangle,

Base = 55 feet

Height = 48 feet

Length of the rope = ?

By Pythagoras theorem:

Square of longest side = Square of base + Square of height

$(Longest\ side)^{2} =$ $55^{2} +48^{2}$

$(Longest\ side)^{2} =$ $3025+2304$

$(Longest\ side)^{2} =$ $5329$

Taking root both side

$\sqrt[2]{(Longest\ side)^{2} } =\sqrt[2]{5329}$

$Longest\ side =$ $73$

Thus, length of the rope is 73 feet.

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