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
Anvisha [2.4K]
2 years ago
5

Can someone PLEASE ANSWER BOTH THESE QUESTIONS!!!!!!!!

Mathematics
2 answers:
mixer [17]2 years ago
8 0

Hello and Good Morning/Afternoon

<u>Let's take this problem step-by-step</u>:

<u>What does this problem give us</u>:

  • a || b     ⇒    a is parallel to b
  • c           ⇒    is a transversal
  • m∠5     ⇒     52°

<u>What does this problem want us to find</u>:

  • measure of ∠6
  • measure of ∠7

<u>Let's solve:</u>

  • ∠6

           ⇒ by the <em>vertical angle theorem</em> is equal in measure to ∠5

               ⇒ ∠6 = 52°

  • ∠7

           ⇒ lines a and b are parallel

               ⇒ the corresponding angles on both lines formed by the

                    transversal are equal

                         i.e. m∠2 = m∠3, m∠7 = m∠8

           ⇒ ∠8 is on a straight line with ∠6

                      \hookrightarrow angle8 +angle6 = 180\\\hookrightarrow angle8 + 52 = 180\\\hookrightarrow angle8 =128

           ⇒ since m∠8 is equal to m∠7

              ⇒ m∠7 = 128

<em>Definitions</em>

  • <em>Vertical Angle Theorem: two opposite angles formed by intersecting lines are equal</em>

<em />

<u>Answer:</u>

  • <u>∠6 = 52°</u>
  • <u>∠7 = 128°</u>

<em />

Hope that helps!

#LearnwithBrainly

Andreyy892 years ago
5 0

Answer:

52º, 128º

Step-by-step explanation:

8. Because ∠6 is an opposite angle to ∠5, ∠6=∠5=52º;

9. Because line a//line b, ∠6=∠4=52º, so ∠7=180º–52º=128º

You might be interested in
Choose the equation that could be used to solve this problem.
Naddik [55]

Answer:

425

Step-by-step explanation:

4 0
3 years ago
3^x=1/9<br><br> What does x equal?
Nastasia [14]

Answer: The letter "x" is often used in algebra to mean a value that is not yet known. It is called a "variable" or sometimes an "unknown". In x + 2 = 7, x is a variable, but we can work out its value if we try!

Step-by-step explanation:

7 0
3 years ago
16. For quadrilateral ABCD, determine the most precise name for it. A(2,3), B (12,3), C(8,6) and D(5,6). Show your work and expl
maw [93]
The correct answer is a Trapezoid.
First, I drew and labeled the points on a graph. When these points are connected, you can see that the space between DA and CB is not equal, meaning that the trapezoid is not isosceles.
6 0
3 years ago
Can someone do this fast ? I need it for tomorrow
gregori [183]

Answer:

Step-by-step explanation:

hg(x) means you multiply h(x) times g(x) and then we will set it equal to 3x^2+x-1.

hg(x) = x^2(x+2) which simplifies to

x^3+2x^2. Now set that equal to 3x^2+x-1:

x^3+2x^2=3x^2+x-1 and get everything on the same side and factor:

x^3-x^2-x+1=0. Factor by grouping:

(x^3-x^2)-(x+1)=0 and factor out what's common in each set of ( ):

x^2(x-1)-1(x-1)=0 which factors out to

(x^2-1)(x-1)=0. But x^2-1 factors somoe to:

(x + 1)(x - 1)(x - 1) = 0 So the solutions for this are

x = -1, 1

7 0
2 years ago
Which equation is equivalent to log Subscript 3 Baseline (x + 5) = 2?
adell [148]

Answer:

The correct option is right-bracket squared 3 squared =x+5

Step-by-step explanation:

The equation is \log _{3}(x+5)=2

Option a: \log _{3}(x+5)=3^{2}

This is not possible because using logarithmic rule, if \log _{a} b=c then b=a^{c}

Hence, option a is not equivalent to \log _{3}(x+5)=2

Option b: \log _{3}(x+5)=2^{3}

This is not possible because using logarithmic rule, if \log _{a} b=c then b=a^{c}

Hence, option b is not equivalent to \log _{3}(x+5)=2

Option c: x+5=3^{2}

This is possible because using logarithmic rule, if \log _{a} b=c then b=a^{c}

Hence, option c is equivalent to \log _{3}(x+5)=2

Option b: x+5=2^{3}

This is not possible because using logarithmic rule, if \log _{a} b=c then b=a^{c}

Hence, option b is not equivalent to \log _{3}(x+5)=2

Thus, the correct option is c: x+5=3^{2}

Hence, the equation x+5=3^{2} is equivalent to \log _{3}(x+5)=2

8 0
3 years ago
Other questions:
  • Question 2
    10·1 answer
  • Sarah competes in a long jump competition Her first jump is 4.25m Her best jump is 12% more than this However, her best jump is
    13·1 answer
  • Can someone explain how to solve this as well ??? 3/4(12p+16)
    5·1 answer
  • Solve for x: 3 over 4 x + 5 over 8 = 4x
    5·1 answer
  • I need help for number 2 what is the answer
    7·1 answer
  • Plz help me i really need it
    14·1 answer
  • Can anyone please help me with this?
    13·2 answers
  • If n(U)= 50, n(A)= 30, n(B) = 20 and n(AUB)= 45, find i) n(A) ii) n(B) ii) Express in Venn diagram​
    9·1 answer
  • HELP, VERY EASY MATHS QUESTION
    15·2 answers
  • Please help ill give brainliest part a: a circle is the set of all points that are the same distance from one given point. find
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!