Step-by-step explanation:
by deleting
9y = -9
y = -1
6x - 4 = -10
6x = -6 then x = -1
The measure of the third angle in the triangle is 104 degrees
<h3>How to determine the measure of the third angles?</h3>
Let the three angles in the triangle be x, y and z.
Such that:
x = 51
y = 25
The sum of angles in a triangle is 180 degrees.
So, we have:
x + y + z = 180
Substitute known values
51 + 25 + z = 180
Evaluate the sum
76 + z = 180
Subtract 76 from both sides
z = 104
Hence, the measure of the third angle is 104 degrees
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Step-by-step explanation:
x + y = 3 ---------------- eqn 1
y = -6x + 3 ------------- eqn 2
Substitute y for -6x + 3 in equation 1
x + -6x + 3 = 3
x - 6x + 3 = 3
-5x + 3 = 3
Collect like terms
-5x = 3 - 3
-5x = 0
Divide both sides by -5
x = 0
Hope this helped!
An expression is defined as a set of numbers, variables, and mathematical operations. The given expression when simplified will be equal to 14¹⁰. The correct option is A.
<h3>What is an Expression?</h3>
In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The given expression can be simplified as shown below.
14¹⁵ / 14⁵
= 14¹⁵ × (1 / 14⁵)
Using the exponential property 1/aˣ = a⁻ˣ, we can write,
= 14¹⁵ x 14⁻⁵
Using the exponential property aˣ × aᵇ = a⁽ˣ⁺ᵇ⁾, we can write,
= 14⁽¹⁵⁻⁵⁾
= 14¹⁰
Hence, the given expression when simplified will be equal to 14¹⁰.
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