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
stiks02 [169]
2 years ago
14

Find the measure of of angle yvx

Mathematics
2 answers:
GarryVolchara [31]2 years ago
6 0

Step-by-step explanation:

angle XUV+angle XVY+angle YVZ+angle ZVW=180°

43+angle XVY+52°+36°=180°

angle XVY=180-131

angle XVY=49°

yarga [219]2 years ago
3 0

Answer:

Step-by-step explanation:

49

You might be interested in
a large box contains 18 small boxes and each small box contains 25 chocolate bars how many chocolate bars are in the large box?
statuscvo [17]
The box has 450 bars in it. 18 times 25 would equal 450
6 0
3 years ago
Read 2 more answers
∆ABC has vertices A(–2, 0), B(0, 8), and C(4, 2)
Natali [406]

Answer:

Part 1) The equation of the perpendicular bisector side AB is y=-\frac{1}{4}x+\frac{15}{4}

Part 2) The equation of the perpendicular bisector side BC is y=\frac{2}{3}x+\frac{11}{3}

Part 3) The equation of the perpendicular bisector side AC is y=-3x+4

Part 4) The coordinates of the point P(0.091,3.727)

Step-by-step explanation:

Part 1) Find the equation of the perpendicular bisector side AB

we have

A(–2, 0), B(0, 8)

<em>step 1</em>

Find the slope AB

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

substitute the values

m=\frac{8-0}{0+2}

m=4

<em>step 2</em>

Find the slope of the perpendicular line to side AB

Remember that

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)

therefore

The slope is equal to

m=-\frac{1}{4}

<em>step 3</em>

Find the midpoint AB

The formula to calculate the midpoint between two points is equal to

M(\frac{x1+x2}{2},\frac{y1+y2}{2})

substitute the values

M(\frac{-2+0}{2},\frac{0+8}{2})

M(-1,4)

<em>step 4</em>

Find the equation of the perpendicular bisectors of AB

the slope is m=-\frac{1}{4}

passes through the point (-1,4)

The equation in slope intercept form is equal to

y=mx+b

substitute

4=(-\frac{1}{4})(-1)+b

solve for b

b=4-\frac{1}{4}

b=\frac{15}{4}

so

y=-\frac{1}{4}x+\frac{15}{4}

Part 2) Find the equation of the perpendicular bisector side BC

we have

B(0, 8) and C(4, 2)

<em>step 1</em>

Find the slope BC

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

substitute the values

m=\frac{2-8}{4-0}

m=-\frac{3}{2}

<em>step 2</em>

Find the slope of the perpendicular line to side BC

Remember that

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)

therefore

The slope is equal to

m=\frac{2}{3}

<em>step 3</em>

Find the midpoint BC

The formula to calculate the midpoint between two points is equal to

M(\frac{x1+x2}{2},\frac{y1+y2}{2})

substitute the values

M(\frac{0+4}{2},\frac{8+2}{2})

M(2,5)

<em>step 4</em>

Find the equation of the perpendicular bisectors of BC

the slope is m=\frac{2}{3}

passes through the point (2,5)

The equation in slope intercept form is equal to

y=mx+b

substitute

5=(\frac{2}{3})(2)+b

solve for b

b=5-\frac{4}{3}

b=\frac{11}{3}

so

y=\frac{2}{3}x+\frac{11}{3}

Part 3) Find the equation of the perpendicular bisector side AC

we have

A(–2, 0) and C(4, 2)

<em>step 1</em>

Find the slope AC

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

substitute the values

m=\frac{2-0}{4+2}

m=\frac{1}{3}

<em>step 2</em>

Find the slope of the perpendicular line to side AC

Remember that

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)

therefore

The slope is equal to

m=-3

<em>step 3</em>

Find the midpoint AC

The formula to calculate the midpoint between two points is equal to

M(\frac{x1+x2}{2},\frac{y1+y2}{2})

substitute the values

M(\frac{-2+4}{2},\frac{0+2}{2})

M(1,1)        

<em>step 4</em>

Find the equation of the perpendicular bisectors of AC

the slope is m=-3

passes through the point (1,1)

The equation in slope intercept form is equal to

y=mx+b

substitute

1=(-3)(1)+b

solve for b

b=1+3

b=4

so

y=-3x+4

Part 4) Find the coordinates of the point of concurrency of the perpendicular bisectors (P)

we know that

The point of concurrency of the perpendicular bisectors is called the circumcenter.

Solve by graphing

using a graphing tool

the point of concurrency of the perpendicular bisectors is P(0.091,3.727)

see the attached figure

5 0
3 years ago
PLS HELP!!!!!
Crank

Answer:If you would like to know what will the approximate population be after 3 years, you can calculate this using the following steps:

an initial population ... 298 quail

an annual rate ... 8%

an exponential function to model the quail population:

f = 298(1+8%)^t = 298(1+8/100)^t

f ... quail population

t ... time (years)

t = 3 years

f = 298(1+8/100)^t = 298(1.08)^3 = 375.4 quail

375.4 quail after 3 years.

5 0
3 years ago
Read 2 more answers
Please help me I only have 5 minutes left
Sveta_85 [38]

Answer:

1st one

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Is 4 m &lt; &gt; or equal to 400 dm
lys-0071 [83]
It is less than
4 meters equal 40 decimeters
4 0
3 years ago
Read 2 more answers
Other questions:
  • inez read 48 pages of her book in 30 minutes. how many pages can she read in 45 minutes. show/type work
    5·1 answer
  • Evaluate 6|5 - c| + 2c when c = 6
    5·2 answers
  • Rachel, Kim, Lori each measure the length of a rope. Rachel says the rope is 15 feet long . Kim day it’s 180 inches long . Lori
    12·1 answer
  • A grocery sells fruit boxes which include four oranges, three apples and one banana. One day they sell 48 oranges in their fruit
    13·2 answers
  • Find the missing measures for the rectangle
    8·1 answer
  • Noah drew a scaled copy of Polygon P and labeled it Polygon Q. If the area of Polygon P is 5 square units, what scale factor did
    7·2 answers
  • You have prizes to reveal! Go to your game board. xThe surface area of this cube is 96 square meters. What is the value of y?9 m
    6·2 answers
  • What does mean meadian mode and range mean
    10·2 answers
  • F(4) =10x - 2x^2<br><br> a . -24<br> b. -22 <br> c. 24<br> d.8
    10·1 answer
  • Jillian and Dawn are playing a game of miniature golf. In this game, the score on a hole is the number of putts it takes to get
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!