The height of this pyramid will be:
√(26^2 - (48/2)^2) = 10cm
So the volume is: V = 1/3 * 48^2 * 10 = 7680 cm^3
Answer:
<h3>
x = 7 , y = 7√2</h3>
Step-by-step explanation:
The sum of measures of angles in triangle is 180°
so:
180° - 90° - 45° = 45°
two angles angles of the same measure, that means: x = 7
so:
Answer:
2x+50 and 5x-55 both are congruent or have same measure.
Step-by-step explanation:
Since we want to prove that both lines are parallel, this means no theorems that involve with parallel lines apply here.
First of, we know that AC is a straight line and has a measure as 180° via straight angle.
x+25 and 2x+50 are supplementary which means they both add up to 180°.
Sum of two measures form a straight line which has 180°.
Therefore:-
x+25+2x+50=180
Combine like terms:-
3x+75=180
Subtract 75 both sides:-
3x+75-75=180-75
3x=105
Divide both sides by 3.
x=35°
Thus, x = 35°
Then we substitute x = 35 in every angles/measures.
x+25 = 35°+25° = 60°
2x+50 = 2(35°)+50° = 70°+50° = 120°
5x-55 = 5(35°)-55 = 175°-55° = 120°
Since 2x+50 and 5x-55 have same measure or are congruent, this proves that both lines are parallel.
Theoretical probability is determined through a study of the possible outcomes that can occur for the given experiment.
Answer:
q=36
Step-by-step explanation:
Equation: 3q+q+q=180
180 degress in a triangle. Solve the equation and you end up with q=36
Boom.
