Answer:
|-8| < |7| is FALSE
Step-by-step explanation:
The absolute value of -8 is 8, which is greater than 7, not less than.
Answer:
Yes
Step-by-step explanation:
In order to determine if a triple of values will form a triangle, we must apply the Triangle Inequality Theorem, which states that for a triangle with lengths a, b, and c:
a + b > c
a + c > b
b + c > a
Here, let's suppose that since the ratio of the sides is 3 : 4 : 5, then let the actual side lengths be 3x, 4x, and 5x, where x is simply a real value.
With loss of generality, set a = 3x, b = 4x, and c = 5x. Plug these into the Triangle Inequality to check:
a + b > c ⇒ 3x + 4x >? 5x ⇒ 7x > 5x ⇒ This is true
a + c > b ⇒ 3x + 5x >? 4x ⇒ 8x > 4x ⇒ This is also true
b + c > a ⇒ 4x + 5x >? 3x ⇒ 9x > 3x ⇒ This is true
Since all three conditions are satisfied, we know that a true triangle can be formed given that the ratio of their sides is 3 : 4 : 5.
<em>~ an aesthetics lover</em>
A triangle is a three-edged polygon with three vertices. Only the law of Sine can be applied to solve the triangle.
<h3>What is a triangle?</h3>
A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angles of a triangle is always equal to 180°.
The sum of all three angles can be written as,
118° + 22° + x = 180°
x = 40°
For the sine rule to be applicable, two angles and a side or an angle and two sides are needed. Therefore, the law of Sine can be applied to solve the triangle.
For the cosine rule to be applicable, two sides and an angle between them is needed to be known, hence, the law of cosine can not be applied.
Hence, Only the law of Sine can be applied to solve the triangle.
Learn more about Triangle:
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Step-by-step explanation:
we want to find the hypotenuse
soh cah toa
he have hypotenuse and opposite
soh
sin 20 = H/4
can u do the rest and put answer in comments please mark brainest
Part c : consecutive interior angle
part e: alternate interior angle
part f : vertical angle
