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
goldenfox [79]
3 years ago
12

What is the value of x?   Enter your answer in the box. x = [ ]​

Mathematics
1 answer:
zhenek [66]3 years ago
4 0
<h2>Answer:</h2>

Since both angles are vertical angles, we need to set them equal to each other.

2(x + 10) = 3x - 30\\\\2x + 20 = 3x - 30\\\\5x + 20 = 30\\\\5x = 50\\\\x = 10

The final answer is <em>x = 10</em>.

You might be interested in
PLEASE HELPP also sorry the photo is sideways
dybincka [34]
<h2>a) Select all that apply</h2>

\overline{LL'}, \ \overline{MM'} \ and \ \overline{NN'}<em> are each perpendicular to the line of reflection</em>

<em></em>

This option is the only one that is correct. The line of reflection is  y=-1. When we talk about reflection, we are talking about reflecting across a line, or axis. Reflecting a shape means looking at the mirror image on the other side of the axis. So in this case, this mirror is the line of reflection.  As you can see, these three segments \overline{LL'}, \ \overline{MM'} \ and \ \overline{NN'}<em> </em>form a right angle at the point each segment intersects the line y=-1.

<h2>b) Find each length</h2>

Since the line y=-1 is an axis that allows to get a mirror image, therefore it is true that:

\overline{LS}=\overline{L'S} \\ \\ \overline{MT}=\overline{M'T} \\ \\ \overline{NU}=\overline{N'U}

To find those values \overline{LS}, count the number of units you get from the point S to L, which is 3 units. Do the same to find \overline{MT} but from the point T to M, which is 6 units and finally, for \overline{NU} but from the point U to N, which is 4 units. Therefore:

\overline{LS}=\overline{L'S}=3 \ units \\ \\ \overline{MT}=\overline{M'T}=6 \ units \\ \\ \overline{NU}=\overline{N'U}=4 \ units

<h2>c) Correct Statement</h2>

<em>The line of reflection is the perpendicular bisector of each segment joining a point and its image. </em>

<em />

A bisector is the line dividing something into two equal parts. In this case, the line of reflection divides each segment into two equal parts and is perpendicular because this line form a right angle with each segment. As we demonstrated in a) each segment is perpendicular to the line of reflection, so the first statement is false. On the other hand, each side of the original triangle is not perpendicular to its image and this is obvious when taking a look at the figure. Finally, as we said the line of reflection is perpendicular to each of the mentioned segments, so they can't be parallel as established in the last statement.

5 0
3 years ago
Helppp!!!!!!!!!!!!!!!!!!!!!!!!!!!
gladu [14]

Answer:

I solved it and my answer is - 3

8 0
3 years ago
Read 2 more answers
What is the length of the unknown leg in the right triangle
-Dominant- [34]

Answer:

15m

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Find the slope of the line that passes through the pair of points.<br> (-43.23,5.1) and (4.23.3.6)
MrMuchimi

Answer:

07713800878

it will help you in your life

5 0
3 years ago
Question 8 is attached! Please explain how you got your answer.
AURORKA [14]
I hope this helps you

5 0
3 years ago
Other questions:
  • 3 cups of flour are needed in a recipe to make 24 brownies of the same size how many cups of flour will be needed to make 96 bro
    9·1 answer
  • Area of a circle<br> R = 5cm<br> Area=<br> REMEMBER TO ANSWER TO 2 DECIMAL PLACES.
    7·1 answer
  • Pairs of jeans?
    10·2 answers
  • Solve the following equations using algebraic operation x+6=x-12
    11·1 answer
  • What is the gradient of the graph shown?<br> Give your answer in its simplest form.
    7·1 answer
  • Write this number in standard form: 6,000,000 + 900,000 + 80,000+ 9,000 + 500+ 80+ 2
    6·1 answer
  • How do you write 11,000 in Japanese (in kanji)
    8·2 answers
  • Last week the number of bacteria in a petri dish was 2.25×
    12·1 answer
  • What is the factorization of the polynomial below?<br> 5x2 - 35x + 60
    11·1 answer
  • 15% of the students in the 6th grade wear glasses. If 12 students wear glasses, how can you determine the number of students in
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!