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
dybincka [34]
3 years ago
11

Help please thanks don’t know how to do this

Mathematics
1 answer:
Setler79 [48]3 years ago
6 0

Answer:

a = 11.71 ; b = 15.56

Step-by-step explanation:

For this problem, we need two things.  The law of sines, and the sum of the interior angles of a triangle.

The law of sines is simply:

sin(A)/a = sin(B)/b = sin(C)/c

And the sum of interior angles of a triangle is 180.

45 + 110 + <C = 180

<C = 25

We can find the sides by simply applying the law of sines.

length b

7/sin(25) = b/sin(110)

b = 7sin(110)/sin(25)

b = 15.56

length a

7/sin(25) = a/sin(45)

a = 7sin(45)/sin(25)

a = 11.71

You might be interested in
Directions: Find the inverse of each number.
Alisiya [41]

Answer:

Step-by-step explanation:

Additive inverse:

-3=3

14=-14

-28=28

-1/5=1/5

Multiplicative Inverse:

2/3=3/2

6/18=18/6

5=1/5

11=1/11

3 0
2 years ago
Read 2 more answers
If two polygons are similar, they are congruent.<br> Always true sometimes true or never true?
charle [14.2K]

Answer:

It is true.

Step-by-step explanation:

congruent polygons have the exact same size and are a perfect match because all corresponding parts are congruent (equal). ... This means that if two polygons are similar, then their corresponding angles are congruent

5 0
3 years ago
Can someone please help ty!
AVprozaik [17]

Answer:

function

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
3.2 geometry worksheet
alekssr [168]

Answer/Step-by-step explanation:

5. 21x + 4 = 22x - 2 (corresponding angles)

Collect like terms

21x - 22x = -4 - 2

-x = -6

divide both sides by -1

x = 6

6. (x + 72) + (x + 132) = 180 (linear pair)

x + 72 + x + 132 = 180

Add like terms

2x + 204 = 180

2x = 180 - 204

2x = -24

x = -12

7. 90 = 22x + 2 (vertical angles)

90 - 2 = 22x

88 = 22x

Divide both sides by 22

4 = x

x = 4

8. 12x + 10 = 13x + 3 (vertical angles)

Collect like terms

12x - 13x = -10 + 3

-x = -7

Divide both sides by -1

x = 7

9. 17x = 16x + 5 (alternate exterior angles)

17x - 16x = 5

x = 5

✔️17x

Plug in the value of x

17(5) = 85°

10. 21x - 6 = 20x (corresponding angles)

Add like terms

21x - 20x = 6

x = 6

✔️20x

20(6) = 120°

3 0
3 years ago
Define a function f on a set of real numbers as follows: f(x) = 3x − 1 x , for each real number x ≠ 0 Prove that f is one-to-one
dalvyx [7]

Answer with Step-by-step explanation:

We are given that

f(x)=\frac{3x-1}{x}

For each real number x\neq 0

To prove that f is one -to-one.

Proof:Let x_1 and x_2 be any nonzero real numbers such that

f(x_1)=f(x_2)

By using the definition of f to rewrite the left hand side of this equation

f(x_1)=\frac{3x_1-1}{x_1}

Then, by using the definition of f to rewrite the right hand side of this equation  of f(x_1)=f(x_2)

f(x_2)=\frac{3x_2-1}{x_2}

Equating the expression then we get

\frac{3x_1-1}{x_1}=\frac{3x_2-1}{x_2}

3x_1x_2-x_2=3x_2x_1-x_1

3x_1x_2-3x_1x_2+x_1=x_2

x_1=x_2

Therefore, f is one-to-one.

6 0
3 years ago
Other questions:
  • What is the one shape of cross-section we could create by slicing the cube parallel to one of its faces?
    5·2 answers
  • Someone please help??
    11·1 answer
  • Which sentence summarizes the advantages of taking out a mortgage loan?
    8·1 answer
  • Which point represents the square root of 182
    7·1 answer
  • Solve 0 = 4x2+12x+9.
    8·2 answers
  • Calculate the voltage of a circuit with a current of 2.4 amps and a resistance of 4 ohms.?
    6·1 answer
  • If a single marble is pulled out of the bag how many outcomes are in the sample
    8·1 answer
  • Consider the two functions which statement is true
    9·1 answer
  • 2. A physical fitness researcher devises a test of strength and finds that the results are normally distributed with a mean of 1
    15·1 answer
  • 5 Mina bought 472 pounds of cheddar
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!