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
gladu [14]
3 years ago
10

Please help me with this

Mathematics
1 answer:
Tju [1.3M]3 years ago
3 0

Answer:

Option 2: m∠1 = 147°, m∠2 = 80°, m∠3 = 148°

Step-by-step explanation:

Step 1: Consider triangle ABC from the picture attached below.

Lets find angle x

x + 47 + 33 = 180 (because all angles of a triangle are equal to 180°)

x = 100°

Angle x = Angle y = 100° (because vertically opposite angles are equal)

Step 2: Find angle 2

Angle 2 = 180 - angle x (because angle on a straight line is 180°)

Angle 2 = 180 - 100

Angle 2 = 80°

Step 3: Find angle z

48 + y + z = 180° (because all angles of a triangle are equal to 180°)

z = 32°

Angle 3 = 180 - angle z (because angle on a straight line is 180°)

Angle 3 = 180 - 32

Angle 3 = 148°

Step 4: Find angle 1

Angle 1 = 180 - 33 (because angle on a straight line is 180°)

Angle 1 = 147°

Therefore m∠1 = 147°, m∠2 = 80°, m∠3 = 148°

Option 2 is correct

!!

You might be interested in
To the nearest​ millimeter, a cell phone is 82 mm long and 36 mm wide. What is the ratio of the width to the​ length?
iVinArrow [24]
<h2>The ratio of the width to the​ length of a cell phone is 18 : 41.</h2>

Step-by-step explanation:

Given,

The length of a cell phone(l) = 82 mm  and

The width of a cell phone(b) = 36 mm

Find, the ratio of the width to the​ length of a cell phone = ?

∴ The ratio of the width to the​ length of a cell phone

= 36 mm : 82 mm

= 36 : 82

Divided by 2, we get

= \dfrac{36}{2} : \dfrac{82}{2}

= 18 : 41

Thus, the ratio of the width to the​ length of a cell phone is 18 : 41.

3 0
3 years ago
Which expression shows that the quotient
Harrizon [31]

Answer:

Option (2)

Step-by-step explanation:

Given expression is \frac{2}{(3x-1)} ÷ \frac{6}{6x-1}

We further simplify this expression,

\frac{2}{(3x-1)} ÷ \frac{6}{6x-1}

= \frac{2}{(3x-1)}\times \frac{6x-1}{6}

= \frac{6x-1}{3(3x-1)}

= \frac{6x-1}{(9x-3)}

Therefore, \frac{6x-1}{(9x-3)} will be the quotient of the given expression.

x\neq \frac{1}{3} and x\neq \frac{1}{6} for which the given expression is not defined.

Option (2) will be the answer.

6 0
3 years ago
How many equal line segments are needed to make 6 triangles
lyudmila [28]

The answer is 18 equal line segments are needed to make 6 triangles.

3 0
3 years ago
Rosa has 55 books and gives 5 of them to her friend. How many does she have left?
Alecsey [184]

Answer:

55-5

50 books she has left

7 0
3 years ago
Makers Corp. had additions to retained earnings for the year just ended of $205000. The firm paid out $185000 in cash divends, a
forsale [732]

Answer:

3.9

Step-by-step explanation:

The retained earnings for the year is $205,000

The firm paid out $185,000 in cash dividend

It has total equity of$4.90 million

100,000 common shares are outstanding

Therefore the earnings per share van be calculated as follows

= 205,000+185,000/100,000

= 390,000/100,000

= 3.9

Hence the earnings per share is $3.9

6 0
2 years ago
Other questions:
  • A student writes the difference between 15 and the product of 5 and y to describe the expression 5y negative 15
    14·1 answer
  • A sofa is on sale for 29% off. the sale price is $355 . what is the regular price?
    8·1 answer
  • What is the relationship between turning points of a graph and its derivative function​
    15·1 answer
  • Find the Axis of Symmetry<br> g(x) = x 2- 5x + 2
    8·1 answer
  • What is the difference between Laplace Transform and fourier Transform?
    6·1 answer
  • 1. The formula for the velocity of an object is d=v/t, where v is the object, d is the distance traveled, and t is the time the
    11·1 answer
  • find a number such that if 8 is subtracted from 9 times the number , the result is 6 more than twice the number​
    12·1 answer
  • Hello! Can someone help me with a substitution problem? Pre-Alg level. <br><br> 3x+9y=42<br> y=2x
    13·1 answer
  • A box is filled with 14 green cards, 2 yellow cards, and 2 red cards. A card is chosen at random from the box. What is the proba
    7·1 answer
  • Solve the equation.<br><br> (8x3−9)3=5832
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!