9514 1404 393
Answer:
(d) 16
Step-by-step explanation:
Angles opposite sides of the same measure are congruent. Here, the triangle is isosceles, so the base angles are congruent:
2x = 32
x = 16 . . . . . . divide by 2°
Answer:
Muercury 3
Venus 6
Mars 2
pluto 5
Jupiter 1
Nucleus4
Step-by-step explanation:
Answer:
The correct answer is 15 cm.
Step-by-step explanation:
Let the width of the required poster be a cm.
We need to have a 6 cm margin at the top and a 4 cm margin at the bottom. Thus total margin combining top and bottom is 10 cm.
Similarly total margin combining both the sides is (4+4=) 8 cm.
So the required printing area of the poster is given by {( a-10 ) × ( a - 8) } 
This area is equal to 125
as per as the given problem.
∴ (a - 10) × (a - 8) = 125
⇒
- 18 a +80 -125 =0
⇒
- 18 a -45 = 0
⇒ (a-15) (a-3) = 0
By law of trichotomy the possible values of a are 15 and 3.
But a=3 is absurd as a
4.
Thus the required answer is 15 cm.
Answer:
<em>Terry had £780 initially and Faye had £1300</em>
Step-by-step explanation:
<u>System of Equations</u>
We'll call the following variables:
x = Terry's balance in his bank account
y = Faye's balance in her bank account
The initial relation between them is:

Cross-multiplying:
5x = 3y [1]
If Terry put £220 in his account he had x+220 and if Faye withdrew £300 from her account, she had y-300. Both quantities are equal, thus
x + 220 = y - 300
Subtracting 220:
x = y - 520 [2]
Substituting in [1]
5(y - 520) = 3y
Multiplying:
5y - 2600 = 3y
Adding 2600 and subtracting 3y:
2y = 2600
Dividing by 2:
y = 1300
From [2]:
x = 1300 - 520
x = 780
Terry had £780 initially and Faye had £1300
3.2355
Fist we line up all the numbers, we forget about the decimal for a moment and we will come back to it in the end.
7.19
x0.45
----------
28760
We put 0 first because we are working on the ten place, and we do a normal multiplication problem: 4*9= 36 (bring the 3 over). 4*1= 4+3 = 7. 4*7= 28 Then we work on the second part.
7.19
x0.45
----------
<span> 28760
</span> <span>3555
</span>
As same as the first step, it is normal multiplication...
7.19
x0.45
----------
28760
<span>3555
</span>-----------
32315
We all both numbers together... For the final answer, we count the decimal place of the numbers given in the problem, 7.19 and 0.45. They both have 2 decimal places, so 2+2=4. So 4 decimal places. We give the final answer 4 decimal places.
3.2315
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