Answer:
40 units
Step-by-step explanation:
For a square, all the sides are equal and the interior angles are equal and all equal to 90. Hence;
m<BOJ = 90 degrees
m<BOJ = 4x - 6
Equating both to get x;
4x - 6 = 90
4x = 90+6
4x = 96
x = 96/4
x = 24
Since all the sides are equal, hence BO = JO = 2x-8
JO = 2x - 8
Substitute x = 24 into JO
JO = 2(24) - 8
JO = 48 - 8
JO = 40
Hence the measure of JO is 40 units
Option A
<u>Answer:
</u>
The value of x in the equation 2(x - 3) + 5x = 5(2x + 6) is -12
<u>Solution:
</u>
From question given that
2(x - 3) + 5x = 5(2x + 6)
Open the brackets,
2x – 6 + 5x = 10x + 30
Rewrite the above equation,
2x + 5x – 6 = 10x + 30
On simplifying the above equation, we get
7x – 6 = 10x + 30
Now adding 6 on both sides,
7x – 6 + 6 =10x + 30 + 6
7x = 10x + 36
On subtracting 10x on both sides,
7x - 10x = 10x + 36 - 10x
-3x = 36
On dividing -3 on both sides,
x = -12
Hence on simplifying 2(x - 3) + 5x = 5(2x + 6) we get value of x is -12. Hence Option (A) is correct.
Answer:
prism B is greater
Step-by-step explanation:
prism A
lenght: 1×4=4
width: 4×8=32
height: 8×1=8
add them all up and multiply it by 2 = 4+32+8×2=52
prism B
lenght: 10×2=20
width: 2×1.5=3
height:1.5×10=15
add them all up and multiply it by 2= 20+3+15×2=76
Answer:
To find the height of a cube you simply need to know the length of the sides of a cube.
Step-by-step explanation:
All sides of a cube are equal because it is made up of squares. If a cube has a length of 3 cm, then it will also have a height of 3 cm.
Answer:
- Percent increase in dollar = $1,711
- Total in account = $7,511
Step-by-step explanation:
The money in the account had increased by 29.5%.
This increase in dollars is:
= Amount in account * percentage increase
= 5,800 * 29.5%
= 5,800 * 0.295
= $1,711
The total in his account was therefore:
= Amount invested + increase
= 5,800 + 1,711
= $7,511
