Answer:
AB = 75
BC = 60
AC = 45
m∠A = 53°
m∠B = 37°
m∠C = 90°
Step-by-step explanation:
<u>Trigonometric ratios</u>
where:
is the angle- O is the side opposite the angle
- A is the side adjacent the angle
- H is the hypotenuse (the side opposite the right angle)
Given:
Therefore:
- side opposite angle A = BC = 60
- side adjacent angle A = AC = 45
To find the length of AB (the hypotenuse), use Pythagoras’ Theorem:
(where a and b are the legs, and c is the hypotenuse, of a right triangle)
⇒ AC² + BC² = AB²
⇒ 45² + 60² = AB²
⇒ AB² = 5625
⇒ AB = √5625
⇒ AB = 75
To find m∠A:
m∠C = 90° (as it is a right angle)
The interior angles of a triangle sum to 180°
⇒ m∠A + m∠B + m∠C = 180°
⇒ 53° + m∠B + 90° = 180°
⇒ m∠B = 180° - 53° - 90°
⇒ m∠B = 37°
Answer:
15
Step-by-step explanation:
You have to calculate the boys name using ratio expression.
3/5 × 25
= 15
There are several algebraic properties of equality.
<em>The property that shows that both distance are the equal is the symmetric property of equality</em>
Represent the distance between the elephants and the giraffes with x
Represent the distance between the tigers and the zebras with y
The symmetric property of equality states that:
<em>For 2 expressions or numbers; x and y</em>
<em>If x = y, then y = x</em>
<em />
<em />
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In this context, the above property means that:
<em>If the distance between the elephants and the giraffes is the same as the distance between the tigers and the zebras, then both distance are equal</em>
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Hence, the property to use is the symmetric property of equality
Read more about properties of equality at:
brainly.com/question/13130806
Answer:
2
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
30 - 6(3.5)
30 - 21
9
