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°
Given that,
the two numbers are consecutive
The two numbers are
x and x + 1
Sum of the numbers = 81
x + (x + 1) = 81
x + x + 1 = 81
2x = 81 - 1
2x = 80
x = 80/2
x = 40
Therefore, <em>the two numbers are</em> x = 40 and x + 1 = 41
Answer:
A 6 cm²
Step-by-step explanation:
The formula for the Surface Area of a Rectangle Prism and Square Prism [Cube] is below:
S.A = 2hw + 2bw + 2hb
Since 1 is the length of all edges, and also because all edges are congruent on a cube, you plug in 1 for the <em>height</em>, <em>width</em><em>,</em><em> </em>and<em> </em><em>base</em>:
6 = 2[1][1] + 2[1][1] + 2[1][1]
2 2 2
Or, you can just simply plug in 1 into the formula the exercise gave you and be done with it.
I am joyous to assist you anytime.
We need to first find a common denominator. This means that we need the 12 and the 3 to be the same number. We can change the 1/3 into 4/12 and see that 9/12 is larger than 4/12.
