The number=10x+y
we suggest this system of equations:
(10y+x)-(10x+y)=27
x+y=9 ⇒x=9-y
Can solve this system of equations by susbstitution method.
(10y+(9-y)-(10(9-y)+y)=27
10y+9-y-(90-10y+y)=27
10y-y+10y-y=27-9+90
18y=108
y=108/18
y=6
x=9-y
x=9-6
x=3
The number=10x+y=10(3)+6=36
Answer: the number is 36.
to check:
63-36=27
6+3=9
Here in this question, we are to solve for x and get the measure of Angle A
Mathematically,
∠A = ∠B
The reason for this is because both are corresponding angles and corresponding angles are equal.
Since they are equal in value, we can equate the given expressions for each of the two angles
Thus;
7x + 40 = 3x + 112
Let us collect like terms
7x-3x = 112 - 40
4x = 72
x = 72/4
x = 18
But the question asks to get the value of ∠A
From the questionn, we are told that ∠A = 7x + 40
To get the value of ∠A, we need to substitute x
∠A = 7(18) + 40
∠A = 126 + 40
∠A = 166
∠A = 166 and x = 18
Answer:
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Step-by-step explanation:
