A volume of a pyramid=base area×height/3
both the bases have same dimensions
pyramid B is twice the height of A
therefore the volume is doubled
Any number, either positive or negative raised to the power of 0 is equal to 1.
Answer:
Angle CED must also measure 60°.
Because angle m is shown to be congruent to angles ABC and CDE, this means that angle m has a measure of 60 degrees.
There can only be 180 degrees in a triangle, so the measure of angle ACB must be 180-60-60, which equals 60 degrees.
Using the Vertical Angles Theorem, the measure of angle ACB is the same as the measure of angle CED.
Therefore, angle CED measures 60°.
Step-by-step explanation:
m, because Triangle ABC is similar to triangle EDC
m over 2, because Triangle ABC is congruent to triangle DCE
m + 60 degrees, because Triangle ABC is similar to triangle DCE
120 degrees − m, because Triangle ABC is congruent to triangle DCE
Answer
(3,-2)
Explanation step by step
<em>y</em><em>=</em><em> </em><em> </em><em>-</em><em>2</em><em>x</em><em>-</em><em>9</em>
<em> </em><em> </em><em> </em><em>=</em><em> </em><em>-</em><em>2</em><em>(</em><em>-</em><em>6</em><em>,</em><em>1</em><em>)</em><em>-</em><em>9</em>
<em>=</em><em> </em><em>(</em><em>1</em><em>2</em><em>,</em><em>-</em><em>2</em><em>)</em><em>-</em><em>9</em>
<em>=</em><em>(</em><em>3</em><em>,</em><em>-</em><em>2</em><em>)</em>
Answer:
x=27.5
FG=72.5
GH=60
HF=47.5
Step-by-step explanation:
Sum of angles in a triangle=180
Therefore, FG+GH+HF=180
Substituting the values we have,
(3x - 10) + (2x+5) +(x+20) = 180
Collecting like terms
3x+2x+x = 180 +10 - 5 - 20
6x = 165
X= 27.5
FG = (3x - 10) = 3(27.5) - 10
FG= 72.5
GH= (2x+5) = 2(27.5)+5
GH=60
HF= x+20 =27.5+20
HF=47.5
