Answer:
The length of the diagonal HJ is 10.82 units
Step-by-step explanation:
* Lets revise the rule of the distance between two points
- 
, where
and 
are the two points
* Lets use this rule to find the length of the diagonal HJ
∵ The coordinates of point H are (-4 , 3)
∵ The coordinates of point J are (5 , -3)
∴ 
and 
∴ 
and 
- Lets find the length of the diagonal HJ by using the rule above
∴ HJ = 
∴ HJ = 
∴ HJ = 10.82
* The length of the diagonal HJ is 10.82 units
Odd integers are 2 apart
they are n, n+2, n+4
the sum is 75
n+n+2+n+4=75
3n+6=75
minus 6 both sides
3n=69
divide both sides by 3
n=23
n+2=25
n+4=27
the integers are 23,25,27
First, distribute the (1/2) into (4x+12) by multiplying them.
The equation becomes:
2x + 6 + 5x = 30
On the left side, combine “like terms” through addition.
7x + 6 = 30
Subtract 6 from both sides:
7x = 24
Finally, get x alone by dividing both sides by 7:
x = 24/7, or if you wanted to round the decimal answer, it’s about 3.429.
Answer:
7
th turns
Step-by-step explanation:
An angle that turn through n one-degrees is said to have an angle measure of n degree. An angle that turns through 1/360 of a circle is called a one degree angle, this is used to measure angles
:. measure of the angle turns through 50 one degree angles
= 
= 7th turns.
Answer:
80 degrees
Step-by-step explanation:
one half of the circle makes a straight line and that will equal 180 degrees so 60+45=105
180-105=80
so the missing angle is x=80
