1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
musickatia [10]
3 years ago
12

△ABC is similar to △LMN. Also, angle B measures 35° and angle C measures 95°. What is the measure of angle L?

Mathematics
2 answers:
umka2103 [35]3 years ago
8 0
Triangles are similar meaning their angles are identical and sides may vary.
180deg in any triangle
180-35-95= L and A
ruslelena [56]3 years ago
6 0

When two triangles are similar, the ratio of the corresponding sides are in proportion.

Also the corresponding angles are congruent.

Here we are given that B= 35° & C = 95°

Now by angle sum property

A + B + C = 180°

A + 35 + 95 = 180

A + 130 = 180

Subtracting 130 from both sides, we get

A = 180 - 130

A = 50°.

Now

ΔABC ~ ΔLMN

So by definition of similarity

A = L

But A = 50°.

Hence L = 50°

You might be interested in
Functions & (f o g) (#)
sertanlavr [38]
Hello there!

I'm assuming since there is no question, that you want an explanation for composite functions.

Today, I want to introduce you to a very new way of looking at functions. Think of a function as a machine. I'll call this machine f. When you plug something into this machine, it is an x-value. The machine changes the x-value into a new value which is called a y-value. This is how a function works.

With composite functions though, things get a little bit tricky. To make f(g(x)), you need to plug in x into the g machine, and it will give you an output. (y-value) The next thing you do is take that y-value and plug it into the g machine. The g machine then gives you a new value. This value is f(g(x)).

Let's do an example together...
f(x)=3x and g(x)=x²+4
if we want f(g(x)), first plug in x to the g machine. when plugging in x to the g machine, we get x²+4 as given in the question.
Now we must plug in g(x) into the f machine. Since g(x) is x²+4, we just replace x with x²+4.
We get 3(x²+4)
This means that f(g(x))=3(x²+4)

NOTE: If you are seeking help with an actual question, please message me in the comments and I will assist you shortly!

I hope this helps!
Best wishes :)
7 0
2 years ago
Which of the following is NOT true about unit rates?
lisov135 [29]
A, it’s the move for that wuestion
3 0
2 years ago
Please help, my calculator isn't working and I need to go to the hospital soon. if possible could someone please give the answer
Goshia [24]
A) 500 ml
b) 8.5 km
c) 480 cm
d) 9000 g
e) 550 mm
4 0
2 years ago
Julius is buying beverages for brunch. He needs to buy a total of 5
xeze [42]
Well, he only needs 5 gallons of beverages. Because he buys two containers of each, however, that means he bought 320 gallons total (I would say). How I got my answer:

There are 8 pints in a gallon (8 x 2)
There are 4 quarts in a gallon (4 x 2)
There are 16 cups in a gallon (16 x 2)
There are 128 ounces in a gallon (128 x 2)

With that being said, we can add these to find the total amount of gallons of beverages Julius bought. 16 + 8 + 8 + 32 + 256 = 320.

Hopefully this helps!
7 0
2 years ago
The figure below is divided into 100 squares of equal size.
Stolb23 [73]

Answer:

45%

Step-by-step explanation:

45 boxes are shaded

so percentage shaded is 45 out of the total which is 100

so 45 / 100 X 100

=45%

7 0
3 years ago
Other questions:
  • What does the graph of f(x)=3x^2-2x+1 look like
    7·1 answer
  • Plz need help thank you for answering
    5·2 answers
  • Four times a number is 4 more than two times the number. What is the number? <br><br> show all work
    9·2 answers
  • Write 3.3 as a rational number
    9·1 answer
  • Suppose we take a random sample of 41 state college students. Then we measure the length of their right foot in centimeters. We
    9·1 answer
  • A triangular prism has a volume of 2040 units. The dimensions of the base of the prism are shown below.
    9·1 answer
  • What is the first step in solving a quadratic equation with the form given below (ax+b)^2=c
    13·2 answers
  • In the diagram, line r is parallel to BC.
    15·2 answers
  • Check the attached image
    7·1 answer
  • I’m confused about this question
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!