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
statuscvo [17]
3 years ago
6

Drag a vertex of the triangle to change its shape.

Mathematics
1 answer:
likoan [24]3 years ago
8 0

Answer:

The correct option is;

45°

Step-by-step explanation:

By angle sum theorem, we have that the sum of angles in a triangle = 180°

Therefore, we have;

When the interior angles of the triangle are constructed to be 60° and 75°, we have by the angle sum theorem;

The third angle + 60° + 75° = 180°

Which gives;

The third angle  = 180°- 60° - 75° = 180°- 135° = 45°

The measurement of the third angle by the angle sum theorem will be 45°

The correct option is ∠third angle = 45°.

You might be interested in
WILL MARK YOU BRAINLIEST !!!!
liq [111]

Answer:

\overline {PM} \cong \overline {ON} because they are opposite sides of a parallelogram.

Step-by-step explanation:

First of all, let us have a look at the definition of a parallelogram.

<em>A parallelogram is a closed 4 sided figure (i.e. a quadrilateral) made up with two pairs of straight lines such that the two pairs are parallel and equal to each other.</em>

<em></em>

For example, let us consider a quadrilateral ABCD as attached in the diagram in answer area.

The two pair of lines are:

AB,  DC and BC, AD

For ABCD to be a parallelogram, the lines

AB and DC must be parallel to each other and AB = DC

AND

BC and AD must be parallel to each other and BC = DA

------------------------------

In the given question, we are given that the quadrilateral MNOP is a parallelogram.

The two pairs opposite lines are OP, NM and PM, ON.

As per the definition of a parallelogram,

OP and NM must be <em>parallel and equal </em>to each other.

AND

PM and ON must be <em>parallel and equal </em>to each other.

\therefore \overline {PM} \cong \overline {ON}.

Hence proved.

6 0
3 years ago
How many solutions are there to the equation below 9x + 27 = 9( x + 2 ) + 9
Nataly [62]

Let's solve the equation:

9x+27 = 9(x+2)+9 ← Distribute 9 to the x and 2

9x+27 = 9x+18+9 ← Combine like terms

9x+27 = 9x + 27 ← Subtract 27 from both sides

9x = 9x


Infinitely many solutions would be correct because no matter what x is, it will always equal each other the both sides of the equation because it is 9 times x on both sides.


7 0
3 years ago
Read 2 more answers
A horse ate 1.8 pounds of grass in 4 days how many grass can the horse eat for 7 days
jolli1 [7]
i think the answer to this is 3.15
4 0
3 years ago
Read 2 more answers
If p is inversely proportional to q and p=-8 then q=2, find p when q=-4
Sunny_sXe [5.5K]

Answer:

16

Step-by-step explanation:

5 0
3 years ago
Use the Remainder Theorem to find the remainder for (2x^3-3x^2+6)/(x-1) and state whether or not the binomial is a factor of the
Bezzdna [24]

Answer:

Remainder= 5, and the binomial (x-1) is not a factor of the given polynomial.

Step-by-step explanation:

Given polynomial is (2x^3-3x^2+6) , we have to divide this with a binomial [tex}(x-1)[/tex] using remainder theorem.

Remainder theorem says if (x-a) is a factor then remiander would be f(a)

Therefore for (x-1), \ {we find}\  f(1)}

f(1)=(2\times 1^3-3\times1^2+6)\\1^3 =1\\1^2=1\\Substituting \ this \ above\\f(1)= (2-3+6)=5

Thus the remainder is 5 and since it is not 0 , so the binomial (x-1) is not a factor of the given polynomial.

6 0
3 years ago
Read 2 more answers
Other questions:
  • What are more 1/3 miles or 1762 feets
    5·1 answer
  • What are the slope and the y-intercept of the linear function that is represented by the graph?
    14·2 answers
  • How do you solve 21÷1/3
    13·1 answer
  • 1.15 GPA and study hours: A survey was conducted on 193 Duke University undergraduates who took an introductory statistics cours
    5·1 answer
  • (This is on my quaturly check Help!!!) ABC and CBD are supplementary angles. m/ABC=(5x+12) and m/CBD=(13x+24).Complete all the p
    7·1 answer
  • A toy store buys action figures from a factory for $8.00 per action figure. If they mark-up the toys 110% before selling them, w
    8·2 answers
  • What is one-sixth of $5.28?
    10·2 answers
  • If a water jug has a volume of 5000cm3 and a height of 45cm, what is the diameter of the jug?
    11·1 answer
  • What conclusion can be determined from the dot plot below?
    10·2 answers
  • 1. The area of a circle is 60 square units. What is the area of ...
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!