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
devlian [24]
3 years ago
14

In the figure, two parallel lines are cut by two other parallel lines. The measure of one of the angles is labeled. Find the mea

sures of the other angles and label them. Answers (137,52,128,38)

Mathematics
1 answer:
11111nata11111 [884]3 years ago
5 0

Answer:

The measure of the angles are

m∠1=128°

m∠2=52°

m∠3=52°

m∠4=128°

m∠5=128°

m∠6=128°

m∠7=52°

m∠8=52°

Step-by-step explanation:

see the attached figure with numbers to better understand the problem

step 1

Find the measure of angle 5  

we know that

m∠5+52°=180° ----> by consecutive interior angles

m∠5=180°-52°=128°

step 2

Find the measure of angle 8

we know that

m∠8=52° ----> by vertical angles

step 3  

Find the measure of angle 7

we know that

m∠7=m∠8 ----> by corresponding angles

we have

m∠8=52°

therefore

m∠7=52°

step 4

Find the measure of angle 6

we know that

m∠6+m∠7=180° ----> by supplementary angles

we have

m∠7=52°

therefore

m∠6+52°=180°

m∠6=180°-52°=128°

step 5

Find the measure of angle 3

we know that

m∠3+m∠6=180° ----> by consecutive interior angles

we have

m∠6=128°

m∠3=180°-128°=52°

step 6

Find the measure of angle 2

we know that

m∠2=m∠3 ----> by vertical angles

we have

m∠3=52°

therefore

m∠2=52°

step 7

Find the measure of angle 1

we know that

m∠1+m∠3=180° ----> by supplementary angles

we have

m∠3=52°

therefore

m∠1+52°=180°

m∠1=180°-52°=128°

step 8

Find the measure of angle 4

we know that

m∠4=m∠1 ----> by vertical angles

we have

m∠1=128°

therefore

m∠4=128°

You might be interested in
Find the value of x. x√5=x^4​
Kaylis [27]

Answer:

x=0,\sqrt[6]{5}

Decimal form,

x=0,1.30766048......

Step-by-step explanation:

x\sqrt{5}=x^{4}

x\sqrt{5}-x^{4}=0

(take x as a common factor)

x(\sqrt{5}-x^{3})=0

So,

x=0 and \sqrt{5}-x^{3}=0

for \sqrt{5-x^{3}=0

(add x^{3} for both sides)

\sqrt{5}=x^{3}

x=\sqrt[3]{\sqrt[2]{5} } (multiply 3 by 2)

x=\sqrt[6]{5}

So,

x=0,\sqrt[6]{5}

5 0
2 years ago
Anumeha is mowing the lawns for a summer job. For every mowing job, she charges and initial fee of $10 plus a constant fee for e
ExtremeBDS [4]

Answer:

F(t) = 10 +5t

Step-by-step explanation:

Income equals the initial fee plus the hours worked times the hourly rate

We know the initial fee = 10

hours = t

hourly rate =r


F(t) = 10 + r*t

We know a 5 hour job is 35 dollars

35 = 10 + r*5

Subtract 10 from each side

35-10 = 10-10 +5r

25 = 5r

Divide by 5

25/5 = 5r/5

5 =r

The hourly rate is 5

F(t) = 10 +5t

8 0
3 years ago
Which of the following is a good way to quickly determine whether 3/12 and 1/4 are equal​
Novay_Z [31]

Answer: Divide 3 into the numerator and denominator

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Write expression as a sine or cosine of an angle.<br>cos 94° cos 18° + sin 94° sin 18° ​
MArishka [77]
<h3>Answer:  cos(76)</h3>

=========================================================

Explanation:

The original expression is of the pattern cos cos + sin sin. This pattern matches the second identity in the hint. Specifically, we'll say the following:

cos(A - B) = cos(A)cos(B) + sin(A)sin(B)

cos(A)cos(B) + sin(A)sin(B) = cos(A - B)

cos(94)cos(18) + sin(94)sin(18) = cos(94 - 18)

cos(94)cos(18) + sin(94)sin(18) = cos(76)

----------

We can verify this by use of a calculator. Make sure your calculator is in degree mode.

  • cos(94)cos(18) + sin(94)sin(18) = 0.24192
  • cos(76) = 0.24192

Both expressions give the same decimal approximation, so this helps confirm the two expressions are equal. You could also use the idea that if x = y, then x-y = 0. Through this method, you'll subtract the left and right hand sides and you should get (very close to) zero.

6 0
2 years ago
Which number below best represents a positive charge of 1,861?
scoray [572]
The second one is the only positive besides 4th but the second and first are the only 1861  so ide have to say the second one

5 0
3 years ago
Other questions:
  • SOMEONE PLEASE HELP!!!!!!!!!!!!!!!!!!1
    13·2 answers
  • Natalie's group brought in pizza but is buying drinks at the concession stand medium sodas are a dollar and $.25 how many medium
    9·1 answer
  • Plz help me solve this problem i think its a but not sure plz help me...<br><br> look at pic
    8·2 answers
  • If f(x) = 4x3 - 2x and g(x) = x3 + 6x2 + 3x - 7, then find f(x)<br> + g(x)
    9·1 answer
  • Silvia has completed 8 math exercises e. This one fourth of the assignment. How many exercises were assigned?
    10·1 answer
  • Which situation would most likely take place in a market economy?
    6·2 answers
  • There are 445 grams in a pound. convert 330 grams to ounces
    13·1 answer
  • Nicole can buy 3 pounds of Luce suppose an orchard for $4.95 or she can buy a 25 ounce bag of apples from the store for $3.79 w
    10·1 answer
  • Pls answer both thank usm
    14·1 answer
  • Which equation is represented by the table?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!