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
victus00 [196]
3 years ago
15

39 3.3 5.1 3.3 x find the value in the triangle shown below

Mathematics
1 answer:
prohojiy [21]3 years ago
7 0

9514 1404 393

Answer:

  x = 102

Step-by-step explanation:

Isosceles triangles have equal angles opposite equal sides. There are two 39° angles in this triangle (opposite the 3.3 sides), so the third one is ...

  x° = 180° -2(39°)

  x° = 102°

_____

<em>Additional comment</em>

The triangle is "overspecified", meaning more measures are provided than are necessary to completely describe the triangle. As is often the case in such situations, the measures provided are sufficiently inconsistent that two different "right" answers are possible, depending on how you work the problem. The first attachment shows the solution above.

The second attachment shows the solution you might get by using the Law of Cosines. Note that x=101 in this case.

You might be interested in
Stuck on this it's Algebra 2 12x^{3} -3x^{2} =0
olchik [2.2K]

Answer:

Exact Form:

x = 0, 1/4

Decimal Form:

x = 0, 0.25

Step-by-step explanation:

<u>Step 1: Factor 3x^2 out of 12x^3 - 3x^2 </u>

Factor 3x^2 out of 12x^3:

<em> 3x^2 (4x) - 3x^2 = 0</em>

Factor 3x^2 out of -3x^2:

<em> 3x^2 (4x) + 3x^2 (-1)  = 0</em>

Factor 3x^2 out of -3x^2 <em>(4x) + 3x^2 (-1) </em>:

<em> 3x^2 (4x-1) = 0</em>

<em />

<u>Step 2: Divide each term by 3 and simpify</u>

<u></u>

divide each term in 3x^2 (4x-1) = 0 by 3.

3x^2 (4x-1) / 3 = 0 / 3

<em>simplify 3x^2 (4x-1) / 3.</em>

<em />

<em>Cancel the common factors.</em>

<u><em>3</em></u><em> </em>x^2 (4x -1) / <em><u>3</u></em> = 0 / 3

divide x^2 (4x-1) by 1.

x^2 (4x-1) / 3 = 0 / 3

Apply the Distributive Property

Reorder.

Rewrite using the commutative property of multiplication.

4x^2 x + x^2 · -1 = 0 / 3

Move -1  to the left of  x^2

4x^2 x -1 · x^2  = 0 / 3

Simplify each term

multiply x^2 by x^2 by adding the exponents.

Move x

4 (x · x^2) -1 · x^2= 0 / 3

Multiply x by x^2

Rase x to the power of 1.

4 (x^1 · x^2) -1 · x^2= 0 / 3

Use the power rule a^m a^n = a^m+n to combine exponents

4x^1+2 -1 · x^2= 0 / 3

Add 1 and 2.

4x^3 -1 · x^2= 0 / 3

Rewrite -1x^2  as -x^2.

4x^3 -x^2= 0 / 3

Divide 0 by 3

4x^3 -x^2= 0

<u>Step 3: Factor x^2 out of 4x^3 -x^2.</u>

Factor x^2 out of 4x^3

x^2 (4x) -x^2 = 0

Factor x^2 out of -x^2

x^2 (4x) x^2 · -1 = 0

Factor x^2 out of x^2 (4x) x^2 · -1

x^2 (4x -1) = 0

If any individual factor on the left side of the equation is equal to 0,  the entire expression will be equal to  0

x^2 = 0

4x -1 = 0

Set x^2 equal to 0 and solve for x

x = 0

Set 4x -1 equal to 0 and solve for x

x = 1/4

The final solution is all the values that make x^2 (4x-1) = 0 true

x= (0, 1/4)

6 0
3 years ago
What is the final amount if 1584 is decreased by 18% followed by a 19% increase?
Oksi-84 [34.3K]

Answer:

1,545.67

Step-by-step explanation:

step 1

if 1,584 is decreased by 18%

we know that

100\%-18\%=82\%=82/100=0.82

Multiply the number by 0.82

1,584(0.82)=1,298.88

step 2

The number 1,298.88 is increased by a 19%

we know that

100\%+19\%=119\%=119/100=1.19

Multiply the number by 1.19

1,298.88(1.19)=1,545.67

3 0
3 years ago
What is the sum of 4.5 + 3.2 + (-7.5)
DochEvi [55]

Answer:

0.2

Step-by-step explanation:

4.5 + 3.2 = 7.7

7.7 - 7.5 = 0.2

6 0
3 years ago
How to divide 8 by 3 the long way
PilotLPTM [1.2K]

The number 8 divided by 3 is 2 with a remainder of 2 (8 / 3 = 2 R.

4 0
2 years ago
Read 2 more answers
Sally is having a problem with her puppy leaving the yard so she decides to build a new fence. The length of the yard is 8 feet
Rufina [12.5K]

Please check the attached file for the diagram of Sally's yard.

Let w be the width of the yard.

Let l be the length.

We are given that the length of the yard is 8 feet more than 4 times the width. Let us convert this into a mathematical equation.

4 times the width will be 4w. Now, 8 feet, or 8 more than 4 times the width will be 4w+8. We know that this is the value of the length of the yard and thus we can write this as:

l=4w+8

As we can see we have found the relationship between the length, l and the width, w of the yard.

We have been told that the total length of the fence required for the yard is 106 feet. This obviously means that the perimeter of the rectangular yard is 106 feet.

Now, we know that the perimeter of a rectangle is given by:

Perimeter=2(l+w)=2((4w+8)+w) this is because we know that the length, l is given by l=4w+8.

Continuing further we get:

106=8w+16+2w=10w+16 This is because Perimeter=length of the fence=106 (given)

Therefore, 10w=90

or, w=9 so, we just now found the width of the yard which is 9 feet. We are required to find the length. We can easily find the length using the relationship between w and l which is:

l=4w+8 giving us:

l=4\times9+8=44

Thus the length of the fence is 44 feet.

5 0
3 years ago
Other questions:
  • Solve the following equation 4(x-3)+5=1
    7·2 answers
  • (17) Please help with math!
    13·1 answer
  • Find the number z, if 1 4/11 of z is 45. (FIRST PERSON TO ANSWER CORRECTLY GETS 5 STARS AND A THANKS.)
    12·1 answer
  • Solve using elimination.
    14·1 answer
  • I do not understand numbers 3 and 4
    14·1 answer
  • Hank has read 25 percent of his book. If Hank has read 150 pages, which equation can be used to find the total number of pages i
    13·2 answers
  • What is the equation of the line that passes through the point (-2,7) and is perpendicular to the line 2 - 4y = 24?
    14·1 answer
  • A <br> B <br> C <br> D <br> What is the answer?
    14·1 answer
  • Cos() =<br> O A. V<br> B.<br> 173<br> 2<br> OC.<br> OD.<br> -3
    10·1 answer
  • Please help with #27 and please explain
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!