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
galben [10]
2 years ago
8

In AWXY, m_W = (10x +17), m_X = (2x – 9)", and m_Y = (3x + 7)º. Find mZY

Mathematics
1 answer:
ella [17]2 years ago
8 0

Answer:

m\angle Y=40^\circ

Step-by-step explanation:

Suppose we have a triangle WXY whose internal angles are:

m\angle W = 10x+17

m\angle X=2x-9

m\angle Y=3x+7

The sum of the measures of the angles must be 180°, thus:

10x+17 + 2x-9+3x+7=180

Simplifying:

15x + 15 = 180

Subtracting 15:

15x = 165

Dividing by 15:

x = 11

Thus, the measure of angle Y is

m\angle Y=3x+7=3*11+7=33+7=40

\mathbf{m\angle Y=40^\circ}

You might be interested in
The graph plots four equations, A, B, C, and D: Line A joins ordered pair negative 6, 16 and 9, negative 4. Line B joins ordered
Margaret [11]

Answer:

The pair of equations which has (2,12) as its solution is,

equation B and equation C.

                           

Step-by-step explanation:

According to the question,

equation of line A is \frac {y - 16}{x + 6} = \frac {16 + 4}{-6 - 9}

                            or, \frac {y - 16}{x + 6} = \frac {-4}{3}

                            or, 3y - 48 = -4x - 24

                            or, 3y + 4x = 24 ------------------(1)

Now, the point (2, 12) doesn't satisfy (1). Hence, (2,12) is not a solution for the line A.

Equation of line B is, \frac {y - 20}{x + 2} = \frac {20 - 0}{-2 - 8}

                              or, \frac {y - 20}{x + 2} = -2

                              or, y - 20 = -2x  - 4

                              or, y + 2x = 16  -----------------------------(2)

The point (2,12) is satisfied by (2). Hence, (2, 12) is a solution for line B.

Equation of line C is, \frac {y + 6}{x + 7} = \frac {20 + 6}{6 + 7}

                              or, \frac {y + 6}{x + 7} = 2

                              or, y + 6 = 2x + 14

                              or. y - 2x = 8 -----------------------------------(3)

The point (2, 12) is satisfied by (3). Hence, (2 , 12) is a solution for the line C.

Equation of line D is, \frac {y - 20}{x - 7} =\frac {20 + 7}{7 - 0}

                               or, \frac {y - 20}{x - 7} = \frac {27}{7}

                               or, 7y - 140 = 27x - 189

                               or, 7y  - 27x = -49----------------------------------------(4)

The point (2, 12) is not satisfied by (4). hence, (2, 12) is not a solution of the line D

Hence, the pair of equations which has (2,12) as its solution is,

equation B and equation C.

                           

6 0
3 years ago
Jessica has collected bead all
romanna [79]
21 to each friend because 84 divided by 4
6 0
3 years ago
Who wants to ft 14?????????
Helga [31]

Answer:

no one

Step-by-step explanation:

at 14 you should be doing your homework

8 0
3 years ago
Find the slope of the line containing the given pair of points. (2, 4) and (8, 13)
IrinaK [193]

Answer:

m = 3/2

Step-by-step explanation:

Use the slope formula: (y2 - y1) / (x2 - x1)

4 0
3 years ago
A rowing team rowed 90 miles while going with the current in the same amount of time as it took to row 10 miles going against th
pishuonlain [190]

Answer:

The speed in still water is 5 miles per hour.

Step-by-step explanation:

distance with current = 90 miles

distance against current = 10 miles

speed in still water = s

speed of current = 4 mph

speed with current = s + 4

speed against current = s - 4

time = t

speed = distance/time

distance = speed * time

With current:

90 = (s + 4) * t

Against the current:

10 = (s - 4) * t

We have a system of equations:

90 = (s + 4) * t

10 = (s - 4) * t

90 = ts + 4t

10 = ts - 4t

Subtract the second equation from the first equation.

80 = 8t

10 = t

t = 10

10 = t(s - 4)

10 = 10(s - 4)

1 = s - 4

s = 5

Answer: The speed in still water is 5 miles per hour.

8 0
3 years ago
Other questions:
  • The area of a square is 4 square meters. How long is each side? Please show every step.
    10·2 answers
  • Angle P and angle Q are supplementary. Angle P measures 5x and angle Q measures 3x – 12. Find the measure of angle P.
    8·2 answers
  • 74.052 using expanded form with fractions and expanded form with decimals
    9·1 answer
  • Which unit rate is the lowest price per ounce? Choice A: 10 ounces of chocolate chips for $1.66 Choice B: 20 ounces of chocolate
    7·2 answers
  • Think of a number. divide by 3 and then multiply by 3
    9·1 answer
  • HELP CONGRUENCE BY SAS AND SSS WILL GIVE BRAINLIEST IF CORRECT
    14·1 answer
  • What is the answer to this question?
    7·1 answer
  • You can identify sample spaces for compound events using organized lists, tables, and tree diagrams. Which of the three methods
    5·2 answers
  • Please help me brainlessly
    8·2 answers
  • What is the Inverse equation to Y= 1/2x - 3?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!