When two angles are alternate interior angles, it means they are located on opposite sides of a transversal line and inside a pair of parallel lines. Here's what we can conclude about these angles:
Alternate Interior Angles are Congruent: Alternate interior angles are congruent, which means they have the same measure. In other words, the measure of one angle is equal to the measure of the other angle.
Formed by a Transversal: These angles are formed when a transversal line crosses two parallel lines. The transversal line intersects the parallel lines at different points, creating alternate interior angles.
Equal Measure: If the two parallel lines are parallel lines, the alternate interior angles will have equal measures. This is a consequence of the corresponding angles postulate, which states that when two parallel lines are intersected by a transversal, the pairs of corresponding angles are congruent.
In summary, when two angles are alternate interior angles, you can conclude that they have equal measures, and this relationship holds when the lines they are associated with are parallel.
f(x)=15x−2
f(x)=2x−15
f(x)=2x+15
f(x)=15x+2
Answer:
f(x)=2x+15
Step-by-step explanation:
Answer:
x + √y
Step-by-step explanation:
A number x plus the square root of a number y
There are two variables involved
Variable x
Variable y
Plus means addition
Square root of y can be written as
√y
A number x plus the square root of a number y can be written as
x + √y in algebraic expression
The answer is x + √y
Thomasis 10 years old.
Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.
The operator that performs the arithmetic operation is called the arithmetic operator.
Operators which let do a basic mathematical calculation
+ Addition operation: Adds values on either side of the operator.
For example 4 + 2 = 6
- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.
for example 4 -2 = 2
* Multiplication operation: Multiplies values on either side of the operator
For example 4*2 = 8
/ Division operation: Divides left-hand operand by right-hand operand
For example 4/2 = 2
Let Thomas's age: x
∴ Grandfather's age: 100
As per the questions
Thomas is grandfather's 100 years old.
Thomas grandfather is 10 times as old as Thomas.
Grandfather's age = Thomas age
100 = 10x
10x = 100
x = 100/10
x = 10
So, Thomas's age is 10 years
Hence, Thomasis 10 years old.
Learn more about Arithmetic operations here:
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This problem has several steps.
First, calculate the interest value for the first year by multiplication of the interest rate and the total amount of the initial loan. So: (1,485)X(0.0775) = $115.0875. This is the total amount of interest for the first year. We add this to the initial loan value to find the total amount for the first year: 115.0875+1,485=$1,600.0875. The next year, she will be charged on this amount, instead of $1,485. So, you repeat the first step with this new value. (1,600.0875)x(0.0775)=$124.0067813. This is the total amount of interest charged the second year. You add this to her total from last year: 124.0067813+1,600.0875 =$ 1,724.094281. This is the total she would have to pay back on her initial loan after to years. (Rounded to whatever decimal place specified. Probably $1,724.09)
Answer:
vfbdchlndn hgd bn
Step-by-step explanation: