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
Alenkinab [10]
3 years ago
13

Analyze the diagram below and complete the instruction that follow.

Mathematics
2 answers:
Gnoma [55]3 years ago
5 0

<u>Answer:</u>

10

<u>Step-by-step explanation:</u>

We are given a diagram which we are to analyze and and solve for x.

We can see the a straight line is intersected by another line thus forming two angles which are supplementary. It means that the sum of these angles is equal to 180 degree.

So we can write them as:

( 7 x - 3 ) + ( 12 x - 7 ) = 180 \\\\ 12 x + 7 x = 180 + 3 + 7 \\\\ 19 x = 190 \\\\ x = \frac { 190 } { 19 }\\\\ x = 10

Therefore, the correct answer option is 10.

monitta3 years ago
3 0

Answer:

x=10

Step-by-step explanation:

The two angles form a straight line so they add to 180 degrees

7x-3 + 12x-7 = 180

Combine like terms

19x-10 = 180

Add 10 to each side

19x-10+10 = 180+10

19x = 190

Divide by 19

19x/19 = 190/19

x= 10

You might be interested in
PLEASE HELP I WILL GIVE BRAINLYEST
insens350 [35]

∠13 = 70.5° [Vertically Opposite angles]

∠13+∠14=180° [Linear pair]

70.5°+∠14=180°

∠14=180-70.5

∠14=109.5

∠15=∠14=109.5 [Vertically opposite angles]

∠13=∠12= 70.5° [Co-interior angles]

∠12=∠10= 70.5° [Vertically Opposite angles]

∠14=∠11=109.5 [Co-interior angles]

∠9=∠11= 109.5 [Vertically opposite angles]

∠13=∠7= 70.5° [Alternate interior angles]

∠7=∠5=70.5° [Vertically Opposite angles]

∠7+∠8=180° [Linear Pair]

70.5+∠8=180

∠8=180-70.5

∠8=109.5°

∠8=∠6= 109.5° [Vertically Opposite angles]

∠6=∠3=109.5° [Co-interior angles]

∠7=∠2=70.5° [Co-exterior angles]

∠2=∠4= 70.5° [Vertically Opposite angles]

∠3=∠1= 109.5° [Vertically Opposite angles]

\red{ \rule{35pt}{2pt}} \orange{ \rule{35pt}{2pt}} \color{yellow}{ \rule{35pt} {2pt}} \green{ \rule{35pt} {2pt}} \blue{ \rule{35pt} {2pt}} \purple{ \rule{35pt} {2pt}}

<h3>Measures of all angles in sequence⤵️</h3>

  • ∠1= 109.5°
  • ∠2= 70.5°
  • ∠3= 109.5°
  • ∠4= 70.5°
  • ∠5= 70.5°
  • ∠6= 109.5°
  • ∠7= 70.5°
  • ∠8= 109.5°
  • ∠9= 109.5°
  • ∠10= 109.5°
  • ∠11= 70.5°
  • ∠12= 109.5°
  • ∠13= 70.5°
  • ∠14= 109.5°
  • ∠15= 109.5°
  • ∠16= 70.5°
8 0
2 years ago
Read 2 more answers
7 less than three fourths the square of b
Charra [1.4K]

the square of b: b^3

three fourths the square of b: (3/4)b^2

7 less than three fourths the square of b: (3/4)b^2 - 7

7 0
3 years ago
Read 2 more answers
What is the y-intercept and slope <br> of the line
bezimeni [28]

Answer:

In the equation of a straight line (when the equation is written as "y = mx + b"), the slope is the number "m" that is multiplied on the x, and "b" is the y-intercept (that is, the point where the line crosses the vertical y-axis). This useful form of the line equation is sensibly named the "slope-intercept form".

Step-by-step explanation:

7 0
3 years ago
Find the equation of this line. y= [?]x+[?]
DochEvi [55]

Answer:

y=3x-4

Step-by-step explanation:

Hi there!

Slope-intercept form: y=mx+b where <em>m</em> is the slope and <em>b</em> is the y-intercept (the value of y when x=0)

<u>1) Determine the slope (</u><u><em>m</em></u><u>)</u>

m=\displaystyle\frac{y_2-y_1}{x_2-x_1} where two points that fall on the line are (x_1,y_1) and (x_2,y_2)

On the graph, two points are highlighted for us: (0,-4) and (2,2). Plug these into the formula:

m=\displaystyle\frac{2-(-4)}{2-0}\\\\m=\displaystyle\frac{2+4}{2}\\\\m=\displaystyle\frac{6}{2}\\\\m=3

Therefore, the slope of the line is 3. Plug this into y=mx+b:

y=3x+b

<u>2) Determine the y-intercept (</u><u><em>b</em></u><u>)</u>

y=3x+b

Recall that the y-intercept occurs when x=0. Given the point (0,-4), the y-intercept is therefore -4. Plug this into y=3x+b:

y=3x+(-4)\\y=3x-4

I hope this helps!

5 0
2 years ago
Draw a line representing the rise and a line representing the sun of the line. State the slope of the line in simplest form.
nevsk [136]
You have to post a pic I don’t understand
4 0
3 years ago
Other questions:
  • X squared +x (×-5)-×+7
    8·2 answers
  • 7. Jason bought a soft drink for
    13·2 answers
  • Please Help me asap!<br>​
    14·1 answer
  • В та<br> If B = 49°13' and b - 10 find a<br> a. 4.6<br> b. 8.6<br> C.<br> d.<br> 5.4<br> 6.5
    11·1 answer
  • NEED HELP PLEASE
    13·1 answer
  • Find constants a and b such that the function y = a sin(x) + b cos(x) satisfies the differential equation y'' + y' − 8y = sin(x)
    10·1 answer
  • I need help on number 2 and 3 please explain how to do this thanks!
    11·1 answer
  • 2) translation: 3 units down
    14·1 answer
  • A cat and dog shelter houses 23 animals that are 5 more cats than dogs y. Write and solve a system of linear equations to find t
    13·1 answer
  • Help me !! I don't really understand
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!