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
nadezda [96]
3 years ago
8

Show what you know Make Predictions

Mathematics
1 answer:
stepladder [879]3 years ago
6 0

Answer:

Sum of all three angles inside a triangle = 180°

Total number of parts = 3 + 10 + 7 = 20

Each part = 180 ÷ 20 = 9

Let us name the three angles of this triangle as ∠1 , ∠2 and ∠3 respectively .

Number of parts for ∠1 = 3 parts

∠1 = 3 × 9 = 27°

Number of parts for ∠2 = 10 parts

∠2 = 10 × 9 = 90°

Number of parts for ∠3 = 7 parts

∠3 = 7 × 9 = 63°

The three angles of this triangle measure 27° , 90° and 63° respectively

Measure of the smallest angle = 27°

Therefore , the measure of the smallest angle = 27° .

You might be interested in
Solve the oblique triangle where side a has length 10 cm, side c has length 12 cm, and angle beta has measure thirty degrees. Ro
Ugo [173]

Answer:

Side\ B = 6.0

\alpha = 56.3

\theta = 93.7

Step-by-step explanation:

Given

Let the three sides be represented with A, B, C

Let the angles be represented with \alpha, \beta, \theta

[See Attachment for Triangle]

A = 10cm

C = 12cm

\beta = 30

What the question is to calculate the third length (Side B) and the other 2 angles (\alpha\ and\ \theta)

Solving for Side B;

When two angles of a triangle are known, the third side is calculated as thus;

B^2 = A^2 + C^2 - 2ABCos\beta

Substitute: A = 10,  C =12; \beta = 30

B^2 = 10^2 + 12^2 - 2 * 10 * 12 *Cos30

B^2 = 100 + 144 - 240*0.86602540378

B^2 = 100 + 144 - 207.846096907

B^2 = 36.153903093

Take Square root of both sides

\sqrt{B^2} = \sqrt{36.153903093}

B = \sqrt{36.153903093}

B = 6.0128115797

B = 6.0 <em>(Approximated)</em>

Calculating Angle \alpha

A^2 = B^2 + C^2 - 2BCCos\alpha

Substitute: A = 10,  C =12; B = 6

10^2 = 6^2 + 12^2 - 2 * 6 * 12 *Cos\alpha

100 = 36 + 144 - 144 *Cos\alpha

100 = 36 + 144 - 144 *Cos\alpha

100 = 180 - 144 *Cos\alpha

Subtract 180 from both sides

100 - 180 = 180 - 180 - 144 *Cos\alpha

-80 = - 144 *Cos\alpha

Divide both sides by -144

\frac{-80}{-144} = \frac{- 144 *Cos\alpha}{-144}

\frac{-80}{-144} = Cos\alpha

0.5555556 = Cos\alpha

Take arccos of both sides

Cos^{-1}(0.5555556) = Cos^{-1}(Cos\alpha)

Cos^{-1}(0.5555556) = \alpha

56.25098078 = \alpha

\alpha = 56.3 <em>(Approximated)</em>

Calculating \theta

Sum of angles in a triangle = 180

Hence;

\alpha + \beta + \theta = 180

30 + 56.3 + \theta = 180

86.3 + \theta = 180

Make \theta the subject of formula

\theta = 180 - 86.3

\theta = 93.7

5 0
3 years ago
A recipe calls for 2 1/5 cups of chopped tomatoes and 3 2/5 cups of diced turnips how many more cups of turnips did the recipe c
Zarrin [17]
The answer would be 1 1/5 more turnips. 
6 0
3 years ago
Read 2 more answers
Which equation models the problem below if c represents the number of puppies whose eyes are closed?
True [87]
First you must take into account the variable that is being defined for this case:
 c = represents the number of puppies whose eyes are closed.
 We can then write the following equation:
 15 = 11 + c
 Rewriting the equation:
 11 + c = 15
 Clearing c:
 c = 15-11
 c = 4
 4 puppies have their eyes closed
 Answer:
 11 + c = 15
 4 puppies have their eyes closed
6 0
3 years ago
Read 2 more answers
What is the sum of the numbers as the product of their GCF and another sum ( 30+54)
hodyreva [135]
2x3=6. So the Greatest Common Factor (GCF) is 6
5 0
3 years ago
What is the DEGREE of Vertex B?
Jet001 [13]
The degree of vertex b is b
8 0
3 years ago
Other questions:
  • What is the correlation coefficient between the variables? Round to three decimal places. Enter your answer in the box. r≈ Age/Q
    8·1 answer
  • HELP!!!
    13·2 answers
  • Help me pleaseeee :)
    7·1 answer
  • 4-(11/3)/4-(2/3)<br> how do i solve this
    13·1 answer
  • How do you find the m of 2 sides of a right triangle and only being given one side which is 16
    5·1 answer
  • 1-z/z-7 - 8z-3/7-z subtract
    15·1 answer
  • Which situation represents a proportional relationship?
    15·2 answers
  • 50.) Find the value of b so that 330_b = 226_b+5<br> URGENT
    15·1 answer
  • *HELP ME ASAP I NEED THIS AWNSER*
    14·1 answer
  • What does the translation rule (x - 6, y + 3) tell you to do?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!