Answer:
1000
Step-by-step explanation:
Doing this on a calculator yields 1000.
Alternatively, do part or all of the problem in your head:
Rewrite 42 ÷____= 0.042 as
42
------------
0.042
and move the decimal points 3 place to the right:
42 becomes 42000, and 0.042 becomes 42. Thus, we have:
42000
------------ = 1000
42
Answer:
LM = 1.5
LN = 3
Step-by-step explanation:
From the question given:
M is the midpoint of LN
LM = 3x
LN= 2x + 2
LM =.?
Next, we shall determine the value of x. This is illustrated below:
Since M is the midpoint of LN, it means that when we divide LN by 2 the result will be LM i.e
LN /2 = LM
With the above formula, we can obtain the value of x as follow:
LN= 2x + 2
LM = 3x
x =..?
LN /2 = LM
2x + 2/ 2 = 3x
Cross multiply
2 × 3x = 2x + 2
6x = 2x + 2
Collect like terms
6x - 2x = 2
4x = 2
Divide both side by 4
x = 2/4
x = 0.5
Finally, we can obtain LM and LN as follow:
LM = 3x
x = 0.5
LM = 3 × 0.5
LM = 1.5
LN= 2x + 2
x = 0.5
LN = 2(0.5) + 2
LN = 1 + 2
LN = 3
Answer:
x = 2 | y = 3. ( 2,3 )
Step-by-step explanation:
2(3x + 3y = 15)
6x + 6y = 30
3(4x + 2y = 14)
12x + 6y = 42
- 6x. -6y. -30
6x = 12
÷ 6. ÷6
x = 2
3x + 3y = 15
3(2) + 3y = 15
6 + 3y = 15
-6. -6
3y = 9
÷3. ÷3
y = 3
9514 1404 393
Answer:
p = 30
angles 30°, 45°; exterior: 75°
Step-by-step explanation:
The exterior angle is equal to the sum of the remote interior angle:
3p -15 = p + (p +15)
p = 30 . . . . . . . . . . . . . add 15-2p
The interior angles are 30°, 45°; the exterior angle is 75°.
