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
yaroslaw [1]
3 years ago
7

A side of the triangle below has been extended to form an exterior angle of 159º. Find the value of x.

Mathematics
2 answers:
xenn [34]3 years ago
5 0

Answer:

x = 69

Step-by-step explanation:

The exterior angle is equal to the sum of the opposite interior angles in a triangle

x+90 = 159

Subtract 90 from each side

x +90-90 = 159-90

x =69

Ulleksa [173]3 years ago
5 0

Answer:

One of the interior angles is given as 90°

Move on to the exterior angle with 159°. Since one part of the altitude is given to be 159°, we can find the other part (let's name it y) because both add up to 180°(linear pair).

159+y = 180

y = 180-159

y = 21°

Now finally find x.

All the interior angles of the triangle result up to 180°

90+21+x = 180

111+x = 180

x = 180-111

x = 69°

You might be interested in
What is the y-intercept?<br> f(x) = -2x2 + 4x - 6
nekit [7.7K]
F(x)=-2x2+4x-6
f(0)=-2x2+4x0-6
f(0)=-4+0-6
f(0)=-10
8 0
3 years ago
Can someone help me with this math hw ​
AveGali [126]

Answer:

Step-by-step explanation:

F(x) = x² - 2x + 1

      = (x - 1)²

By comparing this equation with the vertex form of the quadratic equation,

y = (x - h)² + k

Here, (h, k) is the vertex

Vertex of the parabola → (1, 0)

x-intercepts → (x - 1)² = 0

                       x = 1

y-intercepts → y = (0 - 1)²

                       y = 1

Now we can draw the graph of the given function,

From this graph,

As x → 0,

\lim_{x \to 0^{-}} (x-1)^2=1

\lim_{x \to 0^{+}} (x-1)^2=1

f(0) = (0 - 1)²

     = 1

Since, \lim_{x \to 0^{-}} (x-1)^2=\lim_{x \to 0^{+}} (x-1)^2=1

Therefore, given function is continuous at x = 0.

8 0
3 years ago
Help I don't understand how to do this
klasskru [66]

Answer:

Step-by-step explanation:

Given

Points (-1,7) and (1,3)

Formula

m = (y2 = y1) / (x2 - x1)

y2 = 7

y1 = 3

x2 = - 1

x1 = 1

Solution

m = (7 - 3) / (-1 - 1)

m = 4 / - 2

m = - 2

Now use either one of the points to get b in y = mx + b

x = 1

y = 3

m = - 2

y = mx + b

3 = -2 (1) + b

3 = -2 + b

b = 3 + 2

b = 5

Equation: y = - 2x + 5

Second question.

y = -2 + 1  

Think money. You have a dollar in your pocket, but you owe your mom 2 dollars. Where are you.

y = -2 + 1

y = - 1

5 0
2 years ago
Find the 30th term of the following sequence. 1, 7, 13, 19, ...
postnew [5]

Answer:

175

Step-by-step explanation:

a30 = a1 + f × (n-1)

f= difference between numbers

8 0
3 years ago
Someone answer right por favor
MAXImum [283]
The answer is 64!

hope this helps youu!!
7 0
2 years ago
Read 2 more answers
Other questions:
  • What is the solution of the equation 6x - 3 = -51?
    12·2 answers
  • which of these is an example of a discrete random variable 1) hours worked at job, weight of a child, number of siblings, length
    10·2 answers
  • Anthropologists have noticed that they can predict the height of a human being based on the length of their femur. The relations
    13·1 answer
  • For the following​ sequence, determine if it is an arithmetic​sequence, a geometric​ sequence, or neither. If it is either arith
    6·1 answer
  • 3x - y = 2
    13·2 answers
  • The side of a squre is 8 feet long. Find the percent of change in the perimeter of the garden. Round to the nearest tnth of a pe
    8·1 answer
  • I don't get it- someone answer this, please.
    9·2 answers
  • Find the sum of 2m and 9m.
    14·1 answer
  • (DESPERATE PLEASE HURRY)<br> question down below<br> please show the work
    13·2 answers
  • Multiply the following expressions<br> 81x5y6 × (-1x2y)​
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!