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
puteri [66]
3 years ago
7

PLEASE HELP MEEEEEEEEDetermine the internal and external angles of the triangle below​

Mathematics
1 answer:
zloy xaker [14]3 years ago
6 0

Answer:

The internal angles are 78°, 72°, 30°, and the external angle is 150°

Step-by-step explanation:

In a triangle, the measure of an external angle at one vertex equals the sum of the measures of the opposite internal angles to this vertex

In the given figure

∵ The angle of measure (4x + 22) is an exterior angle

∵ The angles of measures (3x - 18) and (2x + 8) are the opposite

   interior angles

→ By using the rule above

∴ (3x - 18) + (2x + 8) = (4x + 22)

→ Add the like terms in the left side

∵ (3x + 2x) + (-18 + 8) = 4x + 22

∴ 5x + (-10) = 4x + 22

→ Remember (+)(-) = (-)

∴ 5x - 10 = 4x + 22

→ Add 10 to both sides

∵ 5x - 10 + 10 = 4x + 22 + 10

∴ 5x = 4x + 32

→ Subtract 4x from both sides

∵ 5x - 4x = 4x - 4x + 32

∴ x = 32

→ Substitute the value of x in the external and internal angles to find them

∵ The external angle = 4(32) + 22 = 128 + 22

∴ The external angle = 150°

∵ One of the internal angle = 3(32) - 18 = 96 - 18

∴ One of the internal angle = 78°

∵ Other internal angle = 2(32) + 8 = 64 + 8

∴ Other internal angle = 72°

→ The sum of the measure of the internal angles of a Δ is 180°

∵ The third internal angle of the triangle = 180° - 78° - 72°

∴ The third internal angle of the triangle = 30°

∴ The internal angles are 78°, 72°, 30°, and the external angle is 150°

You might be interested in
Plz help me I really need it
Furkat [3]

Answer:

Step-by-step explanation: 2= 41/7     3=  37/9     4=  62/7

6 0
3 years ago
Read 2 more answers
What is the slope of the line passing through points A and B?
masya89 [10]

Answer: 2/4 simplified to 1/2

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Suppose it takes 4 hours for a certain strain of bacteria to reproduce by dividing in half. If 70 bacteria are present to begin
Sauron [17]

Answer:

1 day: 4480

2 days: 8960

3 days: 13440

f^{-1}(x) = \sqrt{\frac{x -4}{4}} ---- function inverse

Step-by-step explanation:

Given

f(x) = 70 \cdot 64x

Solving (a): The amount present after 1 day.

Here, x =1

So:

f(1) = 70 \cdot 64*1= 4480

Solving (b): The amount present after 2 days.

Here, x =2

So:

f(2) = 70 \cdot 64*2= 8960

Solving (c): The amount present after 3 days.

Here, x = 3

So:

f(3) = 70 \cdot 64*2= 13440

Solving (d): The inverse function of:

f(x)= 4x^2 + 4

Replace f(x) with y

y= 4x^2 + 4

Swap x and y

x= 4y^2 + 4

Rewrite as:

4y^2 = x -4

Divide by 4

y^2 = \frac{x -4}{4}

Take square roots

y = \sqrt{\frac{x -4}{4}}

Replace y with function inverse

f^{-1}(x) = \sqrt{\frac{x -4}{4}}

6 0
3 years ago
Hi I need to know what 3 5\16 is as a decimal
Ivahew [28]
3 \frac{5}{16} =3.3125
8 0
3 years ago
What is 152.925 rounded to the nearest hundredth
Mandarinka [93]
The answer rounded to the nearest hundredth is 152.93
4 0
3 years ago
Read 2 more answers
Other questions:
  • The area of a rectangle is 100 square inches. The perimeter of the rectangle is 40 inches. A second rectangle has the same are b
    12·1 answer
  • What is done to exponents when you add or subtract powers having the same base?
    5·2 answers
  • I’m a bit stuck, please help
    7·1 answer
  • Write 3.242424... as a mixed number
    14·1 answer
  • Please help me it will be greatly appreciated. will give brainliest. question is in attachment.
    14·1 answer
  • 3. What information does a compound's empirical formula give us?
    14·1 answer
  • Write the inequality shown by the graph with the boundary line
    9·1 answer
  • Solve the equation.<br> 7x2 + 5 - x = 6x2 + 10<br> X =<br> 20<br> It
    5·1 answer
  • What is the area of this trapezoid?​
    8·1 answer
  • Let the sample be 11, 3, 4, 3, 5, 7, 8, 12. What is the range of the sample?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!