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3 years ago

Given △ABC≅△JKL, m∠B=55°, and m∠L=25°, what is the measure of ∠J?

2 answers:

6 0

For the answer to the question above,
<J = 100
because they are similar they have the same angles
The two triangles are similar, so they must have corresponding angles. Thats one way to define similarity, it can dilate (zoom in /zoom out) , but the angles are preserved. You can also define similarity in terms of the proportionality of the sides.

"Given △ABC≅△JKL"

The order of the letters counts.
<A = <J
now you can draw two generic triangles, which have the same three angles, but label the angles accordingly, so they match up.

then by correspondance we can fill in
nightowlthe third angle can be found by the fact that
the three angles must add up to 180.

alexandr1967 [171]3 years ago

5 0

Answer:

100°

Step-by-step explanation:

Using the congruence statement, we know that ∠A≅∠J, ∠B≅∠K, and ∠C≅∠L.∠

Since m∠B = 55, then m∠K = 55.

Along with ∠L, this gives us 2 of the 3 angles of triangle ABC. We know that the sum of the measures of the angles in a triangle is 180°; this means that

∠J = 180-(55+25) = 180-80 = 100°

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Find the domain for the rational function f of x equals quantity x plus 1 end quantity divided by quantity x minus 2 end quantit

Elena L [17]

Answer:

$(- \infty, 2), (2, \infty)$

Step-by-step explanation:

Given the function:

$f(x) = \dfrac{x+1}{x-2}$

To find:

Domain of the function.

Solution:

First of all, let us learn about definition of domain of a function.

Domain of a function is the valid input values that can be provided to the function for which output is defined.

Domain of a function $f(x)$ are the values of $x$ for which the output $f(x)$ is a valid value.

i.e. The function does not tend to $\infty$ or does not have $\frac{0}0$ form.

So, we will check for the values of $x$ for which $f(x)$ is not defined.

For value to tend to $\infty$ , denominator will be 0.

$x-2\neq 0 \\\Rightarrow x \neq 2$

So, the domain can not have x = 2

Any other value of x does not have any undefined value for the function $f(x)$ .

Hence, the answer is:

$\bold{(- \infty, 2), (2, \infty)}$ [2 is not included in the domain].

7 0

3 years ago

Conner and Jana are multiplying (3568)(39610).

shepuryov [24]

Jena work is correct

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3 years ago

Read 2 more answers

What is the solution to this system of equations, and what does it mean to the contractor? The solution (0, 20) tells the contra

oksano4ka [1.4K]

The question is incomplete. Here is the complete question:

A contractor has two choices for billing a completed job.

· $500 flat rate, regardless of the number of hours worked

· $20 per hour worked

The graph shows the relationship between pay per hour and number of hours worked for both scenarios.

What is the solution to this system of equations, and what does it mean to the contractor?

A.The solution (0, 20) tells the contractor the minimum amount that can be charged.

B.The solution (0, 500) tells the contractor the maximum amount that can be charged.

C.The solution (25, 20) tells the contractor the number of hours on a job where the hourly rate is the same for both billing options.

D.The solution (20, 25) tells the contractor the number of hours on a job where the hourly rate is the same for both billing options.

Answer:

The graph is attached below.

C.The solution (25, 20) tells the contractor the number of hours on a job where the hourly rate is the same for both billing options.

Step-by-step explanation:

As per the graph, the x-axis represents the number of hours worked and the y-axis represents the rate in dollars per hour.

The hourly rate is given as $20.

The solution to the given lines drawn on the graph is the point of intersection of the two curves.

As we observe from the graph, the point of intersection of the two curves is at (25,20). The point tells the contractor that when the hourly rate is $20, then the number of hours worked will be 25.

So, when the hourly rate is same for both the billings, then the number of hours worked will be 25.

Hence, the correct option is (C).