What is the correct value of z? A. Z=12 B. Z=13 C. Z=10 D. Z=11

Mathematics

1 answer:

inna [77]3 years ago

3 0

<h3>Answer: A) z = 12</h3>

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Work Shown:

RS = RT

2z-15 = 9

2z = 9+15

2z = 24

z = 24/2

z = 12

The reason why RS is equal to RT in the first equation is because we have an isosceles triangle. Recall that any isosceles triangle has exactly two sides the same length, and the opposite base angles are congruent to one another. The congruent angles are indicated with the single arcs.

In short: the base angles S and T are congruent, so the opposite sides RS and RT are the same length. This leads to RS = RT.

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A model ship has a mast that is 7 inches tall. A right triangular sail goes from the top of the mast to 1 inch from the bottom o

dezoksy [38]

Answer:

12 square inches.

Step-by-step explanation:

Please consider the complete question.

A model ship has a mast that is 7 inches tall. A right triangular sail goes from the top of the mast to 1 inch from the bottom of the mast. The length of the base of the sail is 4 inches. The height of the sail is along the mast. Find the area of the sail.

The sail will form a right triangle with respect to mast, whose height is 6 inches and base is 4 inches as shown in the diagram.

The area of the sail will be equal to area of triangle.

$\text{Area of triangle}=\frac{1}{2}(\text{Base}\times\text{Height})$