Obtuse angle
Operation
Order of operation
Answer:
16
Step-by-step explanation:
We can use the Pythagorean theorem to find the height
a^2 + b^2 = c^2 with a and b legs and c the hypotenuse
The triangle is a right triangle with legs GH and FG and hypotenuse FH
FG^2 + GH^2 = FH^2
FG ^2 + 12^2 = 20^2
FG^2 +144 = 400
Subtract 144 from each side
FG^2 +144-144 = 400-144
FG^2 =256
Take the square root of each side
sqrt(FG^2) =sqrt(256)
FG = 16
A. 63.1°
<u>Step-by-step explanation:</u>
Whatever it may be reflection, rotation or translation, the angle or size of the triangle will not change.
As we know that the sum of angles in a triangle is 180°.
In ΔX'Y'Z', ∠X' + ∠Y' + ∠Z' = 180°
53.8° + 63.1° + ∠Z' = 180°
116.9° + ∠Z' = 180°
∠Z'= 180° - 116.9°
= 63.1°
<h3>
12 = -5x/4 - 8</h3>
Multiply both sides of the equation by 4.
<h3>48 = −5x − 32</h3>
Swap the sides so that all variable terms are on the left side.
<h3>−5x − 32 = 48</h3>
<em>Add 32 to both sides.</em>
<h3>−5x = 48 + 32</h3>
<em>Add 48 and 32 to get 80.</em>
<h3>−5x = 80</h3>
<em>Divide both sides by −5.</em>
<h3>x = 80/-5</h3>
<em>Divide 80 by −5 to get −16.</em>
<h3>x= −16</h3>
