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2 years ago

Find the measure of each angle of the triangle HIJ. There will be three answers. (Hint: find the value of x first.)

Mathematics

1 answer:

vekshin12 years ago

6 0

<h3><em>= 3x - 2 + 3x - 9 + 4x - 9 = 180 ( Angle sum property )</em></h3><h3><em>= 3x + 3x + 4x - 2 - 9 - 9 = 180 </em></h3><h3><em>= 10x - 20 = 180 </em></h3><h3><em>= 10x = 180 + 20 </em></h3><h3><em>= 10x = 200</em></h3><h3><em>= x = 200 / 10 </em></h3><h3><em>= x = 20</em></h3><h3><em>therefore the angle's are,</em></h3><h3><em>58, 51, 71.</em></h3><h3><em>HOPE IT HELPS !!!</em></h3>

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Use ABC to find the value of cos a. 24/7 7/24 7/25 24/25

ExtremeBDS [4]

Answer:

$\frac{24}{25}$

Step-by-step explanation:

using the cosine ratio;

$\cos(\theta)= \frac{adjacent}{hypotenuse}$

From the question, the side of the right angle triangle that is adjacent to the measured <a,(i.e BAC) is AC=24 and the hypotenuse is AB=25

This implies that,

$cos(a)= \frac{24}{25}$

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geniusboy [140]

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ira [324]

x = 13

subtract x from both sides of the equation

6 = 2x - x - 7

6 = x - 7

add 7 to both sides

6 + 7 = x ⇒ x = 13

As a check

substitute this value into the equation and if both sides are equal then it is the solution

left side = 13 + 6 = 19

right side = (2 × 13) - 7 = 26 - 7 = 19

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