Answer:
x° = 149°
Step-by-step explanation:
According to the <u>Triangle Sum Theorem</u>, the sum of the measures of the angles in every triangle is 180°. Since we are given two angles with measures of m < 86° and m < 63°, then the third angle must be:
m < 86° + m < 63° + m < (angle 3) = 180°
149° + m < ? = 180°
Subtract 149° from both sides to solve for m < (angle 3)
149° - 149° + m < (angle 3) = 180° - 149°
m < ? = 31°
Therefore, the measure of the third angle is 31°.
To find x°, we can reference the <u>Triangle Exterior Angle Postulate</u>, which states that the measure of an exterior angle of a triangle is equal to the sum of the measures of the remote interior angles.
In other words, the measure of x° = m < 86° + m < 63°
x° = 149°
By the way, m< (angle 3) and x° are also supplementary angles whose sum equal 180°:
x° + m < (angle 3) = 180°
149° + 31° = 180°
14/12 because if u go on calculator and do 5 divided by 12 + 9 divided by 12 u get 1.166667 or something and then u do 14/12 and it’s the same number.
It looks like you already have a common denominator (y^2-9). So, you can just add the two numerators and put that over the common denominator. Hope this helps!
Answer:
2 : 3
Step-by-step explanation:
Given:
The two cylinders are similar. So, their corresponding dimensions must be in proportion.
Therefore, the similarity ratio of the smaller to the larger similar cylinders is 2 : 3.
It will be 49% out of 100