If two angles are alternate interior angles, what can we conclude about these angles?​
If two angles are alternate interior angles, what can we - 1

Answers

Answer 1
Answer:

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.


Related Questions

How is using a conversion factor different from using proportions to convert measurement units? Explain which is easier and why.
What's 0.003 1/10 of
This questions is breaking my head... If a gumball is randomly chosen from a bag that containsexactly 6 yellow gumballs, 5 green gumballs, and 4red gumballs, what is the probability that the gumballchosen is NOT green? Can you also write ratio for me to this question?
Ann's rent increased from $1,200 to $1,350 By what percent did her rent increase
If a family member brings you freshly canned fruit and asks you to use it to bake pies at your restaurant, your response should be:

Samantha buys one vase and x roses. The vase costs $15 and each rose costs $2.What function equation represents the amount of money Samantha spends?

f(x)=15x−2

f(x)=2x−15

f(x)=2x+15

f(x)=15x+2

Answers

I believe the correct answer from the choices listed above is the third option. The equation that would represent the amount of money Samantha spends would be f(x)=2x+15 where 15 represents the value of the vase which is a fix amount and 2x is the value of the roses.

Hope this answers the question. Have a nice day.

Answer:

f(x)=2x+15

Step-by-step explanation:


At 8:00 am, a building casts a shadow 75 feet long. The angle where the ray from the sun met the ground is 50°. How tall is the building?

Answers

the angle of elevation of shadow from building is 50 degrees
tan 50=height of building/length of shadow=h/75
h=75tan50=75(1.192)=89.38 feet
the height of the building is 89.38 feet

Express "a number x plus the square root of a number y" as an algebraic expression

Answers

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

AA′ = 33 m and BC = 7.5 m. The span is divided into six equal parts at E, G, C, I, and K. Find the length of A′B.

Answers

The correct answer for the question that is being presented above is this one: "18.12."
The image of this triangle is an isosceles triangle with the base being 33m (from angle A to angle A') and the right leg is 7.5 m long (BC) the span or width of the triangle is divided by 6 vertical lines with equal distances from eachother. so we need to find the length of the left leg AB.

Thomas is grandfather's 100 years old. Thomas grandfather is 10 times as old as Thomas. How old is thomas

Answers

Thomasis 10 years old.

What are Arithmetic operations?

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:

brainly.com/question/25834626

#SPJ2

its one thousand years old because you need to multiply 100 and 10. hope it was useful 


Angie borrowed $1,485 to purchase a new laptop for the veterinarian’s assistant. The interest on the loan was 7.75%. How much interest will Angie pay if the loan is for 2 years???

Answers

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: