Answer:
x= 28
Step-by-step explanation:
The angles both sum up to 180°. So, the equation would be: 39+(5x+1)= 180.
Step 1- Add common numbers.
(39+1)+5x= 180
40+5x= 180
Step 2- Subtract 40 to both sides.
40+5x= 180
-40 -40
5x= 140
Step 3- Divide both sides by 5.
<u>5x</u>= <u>140</u>
5 5
x= 28
Answer:
The third side of the triangle is 10x + 3
Step-by-step explanation:
x + 1 + 2x + 4 = 3x + 5
( 13x + 8 ) - ( 3x + 5 ) = 13x + 8 - 3x - 5
= 10x + 3
Answer:
C
Step-by-step explanation:
The volume of the regular pyramid is 
The base of given pyramid is regular hexagon with side 12 cm. The are of this hexagon consistsof area of 6 equilateral triangles and is equal to

Hence, the volume of the pyramid is

Answer:
Step-by-step explanation:
Here we are given that the value of sinA is √3-1/2√2 , and we need to prove that the value of cos2A is √3/2 .
<u>Given</u><u> </u><u>:</u><u>-</u>
•
<u>To</u><u> </u><u>Prove</u><u> </u><u>:</u><u>-</u><u> </u>
•
<u>Proof </u><u>:</u><u>-</u><u> </u>
We know that ,
Therefore , here substituting the value of sinA , we have ,
Simplify the whole square ,
Add the numbers in numerator ,
Multiply it by 2 ,
Take out 2 common from the numerator ,
Simplify ,
Subtract the numbers ,
Simplify,
Hence Proved !
Answer:
He bought 7 lightbulbs.
Step-by-step explanation:
37.19 - 3.73 = 33.46
33.46/4.78=7