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
castortr0y [4]
3 years ago
5

How to solve for x and y

Mathematics
1 answer:
Minchanka [31]3 years ago
4 0

<u>Answer-</u>

<em>The values of </em><em>x and y are 20° and 30</em><em>, respectively.</em>

<u>Solution-</u>

As in the given triangle all the angles are same so it must a equilateral triangle.

In an equilateral triangle all the measurements of the angles and side length are same. The measurement of the angels are 60°.

As given in the question one side length is 46, so all the side length are same.

So,

\Rightarrow y+16=46\\\\\Rightarrow y=46-16\\\\\Rightarrow y=30

We know that an exterior angle of a triangle is equal to the sum of the opposite interior angles. 80° is the exterior angle opposite to x and one angle of triangle at the top vertex.

\Rightarrow 80^{\circ}=x+60^{\circ}

\Rightarrow x=80^{\circ}-60^{\circ}

\Rightarrow x=20^{\circ}

Therefore, the values of x and y are 20° and 30, respectively.

You might be interested in
(x+3)^2=43
suter [353]
The answer is 2 hope this helps
7 0
3 years ago
Read 2 more answers
What are the factors of the quadratic function graphed below?
natulia [17]

Answer:

B

Step-by-step explanation:

The zeros of the quadratic occur at x = 0 and x = 6

Thus the factors are x and x - 6

4 0
3 years ago
Mrs Rivas bought a can of paint he used 3/8 of paint and 1/4 he also used some for a birdhouse and had 1/8 of paint left how muc
Degger [83]

Answer:

The amount of paint used in the  birdhouse = (1/4) of paint

Step-by-step explanation:

The amount of paint used in first go = 3/8

The amount of pain used in second go = 1/4

The amount of paint used in bird house = k

The amount paint left = 1/8

Now, according to the question:

Paint used in ( First go + second go + Birdhouse) + Paint left = 1 can Paint

⇒\frac{3}{8}  + \frac{1}{4} + k + \frac{1}{8}    = 1\\\implies \frac{3 + 1(2) + 1}{8} + k = 1\\ \frac{6}{8} + k = 1 \\\implies k = 1 - \frac{6}{8}  = \frac{8-6}{8}  = \frac{2}{8}  = \frac{1}{4} \\\implies k = \frac{1}{4}

or, The amount of paint used in the  birdhouse = (1/4)

5 0
3 years ago
PLS HELP ASAP If -2 is added to each of the x and y intercepts of the line 3x + 2y = 6, find the new equation of the line
ella [17]

Answer:

3x + 2y = -4

Step-by-step explanation:

x intercept of the line occurs at y = 0

Given the equation 3x+2y = 6

3x+2(0) = 6

3x  = 6

x = 2

The x intercept is at (2, 0)

Adding -2 to each axis will give (2-2, 0-2) = (0, -2)

y intercept of the line occurs at x = 0

Given the equation 3x+2y = 6

3(0)+2y = 6

2y  = 6

y =3

The x intercept is at (0, 3)

Adding -2 to each axis will give (0-2, 3-2) = (-2, 1)

The new coordinates are (0, -2 and (-2, 1)

Using the point slope form of the equation y - y0 = m(x-x0)

slope m = y2-y1/x2-x1

m = 1-(-2)/-2-0

m = 1+2/-2

m = -3/2

Using m = -3/2 and (0, -2)

y - (-2) = -3/2(x-0)

y+2 = -3/2 x

2(y+2) = -3x

2y+4 = -3x

-3x-2y = 4

3x + 2y = -4

Hence the required equation is 3x + 2y = -4

7 0
2 years ago
What is the average rate of change of f over the interval -7 &lt; or equal to x Give an exact number
Annette [7]

Answer:

\frac{4}{3}

Step-by-step explanation:

The average rate of change can be found by using the following formula

\frac{f(x_{2}) - f(x_{1}) }{x_{2} - x_{1}}

Since the interval goes from -7 to 2, we should find the y-values that correspond to x=-7 and x=2.

By inspection of the graph, we can clearly see that when x is -7, y is -7 as well and when x is 2, y is 5.

Now that we know this, we can simply plug these values into the formula!

\frac{f(2) - f(-7) }{2 - (-7)} = \frac{5 - (-7)}{2 - (-7)} = \frac{5 +7}{2+7} = \frac{12}{9} = \frac{4}{3}

Good luck!

3 0
2 years ago
Other questions:
  • A car drives at 45 km/h for 3 hours.<br> How far does the car travel?
    11·2 answers
  • Bethany can mow her family’s lawn in 4 hours. Her brother Colin can mow the lawn in 3 hours. Which equation can be used to find
    8·2 answers
  • The table shows the change in the low temperature in albany compared to the day before
    7·1 answer
  • If two sides of a triangle are 1 and 3, the third side may be?
    9·1 answer
  • A florist sells two dozen roses for $50.88. At this rate what's the cost per rose? 
    9·2 answers
  • What is the value of x?
    10·2 answers
  • Please help me lol!!!!!!
    15·2 answers
  • Which parent function does not have a graph that goes through the origin?
    9·1 answer
  • Can someone please help me I really need help please help me I really really need help
    11·2 answers
  • The school store has 1200 pencils in stock and sells an average of 25 pencils per day. The manager reorders when the the number
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!