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
stiv31 [10]
4 years ago
12

What is the missing step in the proof?

Mathematics
2 answers:
ollegr [7]4 years ago
3 0
The correct answer to this is the option:
C. Statement: ∠GJI≅∠JLK
Reason: For parallel lines cut by a transversal, corresponding angles are congruent.

Since the two angles are corresponding angles and the two parallel lines are cut by a transversal.
nadya68 [22]4 years ago
3 0
The <u>correct answer</u> is:

D) <span>Statement: ∠GJI and ∠IJL are supplementary; Reason: Linear Pair Theorem 

Explanation:

Step 3 states "</span><span>∠IKL≅∠GJI Transitive Property of Equality".  
Step 5 states "</span><span>∠IKL and ∠IJL are supplementary. Transitive Property of Equality".

The inferred piece of information here is that </span>∠GJI and ∠IJL are supplementary.  Since we do not have anything relating ∠IKL and ∠IJL, we must have something relating the two; relating ∠GJI and ∠IJL will work, since we know that ∠IKL≅∠GJI.
You might be interested in
Calculate the rf value for the reactant b spot. estimate the ruler to the nearest tenth, report the answer using two significant
Aliun [14]
<span>1. Measure the distance the solvent front traveled from the baseline (m1). 2. Measure the distance the reactant b spot traveled (the center of the spot) (m2). 3. To determine the rf, divide (m2/m1). 4. Significant figures- use 2 so the answer should be written to the hundredths place as the spot will not travel farther than the solvent front.</span>
8 0
3 years ago
A market buys mixed nuts at $15 per pound. They want to make a 20% profit. What would you make for 1 pound of nuts ? ( show work
Tasya [4]

I'm pretty sure it would be $19. You can check my work to make sure.

First, I multiplied 15 by 20%, which in decimal form would be .20 or .2. I got the answer 4.00, which could also be simplified to 4. Afterwards I added 4 to 15 to add the profit the market gets when they have to pay back the $15 for pound. 4+15=19, so $19 for 20%.

5 0
3 years ago
Find x,y,z : 4x^2+2y^2+2z^2-4xy-4xz+2yz-2y+6z+10=0
xenn [34]

<em>I hope this helps.</em>

<em>Answer:-</em>

<em>    ∴x−3y−4z=0</em>

<em />

<em>Explanation:</em>

<em />

<em>First we rearrange the equation of the surface into the form f(x,y,z)=0</em>

<em />

<em>    x2+2z2=y2</em>

<em>    ∴x2−y2+2z2=0</em>

<em />

<em>And so we have our function:</em>

<em />

<em>    f(x,y,z)=x2−y2+2z2</em>

<em />

<em>In order to find the normal at any particular point in vector space we use the Del, or gradient operator:</em>

<em />

<em>    ∇f(x,y,z)=∂f∂xˆi+∂f∂yˆj+∂f∂zˆk</em>

<em />

<em>remember when partially differentiating that we differentiate wrt the variable in question whilst treating the other variables as constant. And so:</em>

<em />

<em>    ∇f=(∂∂x(x2−y2+2z2))ˆi+</em>

<em>                     (∂∂y(x2−y2+2z2))ˆj+</em>

<em>                     (∂∂z(x2−y2+2z2))ˆk</em>

<em>       =2xˆi−2yˆj+4zˆk</em>

<em />

<em>So for the particular point (1,3,−2) the normal vector to the surface is given by:</em>

<em />

<em>    ∇f(1,3,−2)=2ˆi−6ˆj−8ˆk</em>

<em />

<em>So the tangent plane to the surface x2+2z2=y2 has this normal vector and it also passes though the point (1,3,−2). It will therefore have a vector equation of the form:</em>

<em />

<em>    →r⋅→n=→a⋅→n</em>

<em />

<em>Where →r=⎛⎜⎝xyz⎞⎟⎠; →n=⎛⎜⎝2−6−8⎞⎟⎠, is the normal vector and a is any point in the plane</em>

<em />

<em>Hence, the tangent plane equation is:</em>

<em />

<em>    ⎛⎜⎝xyz⎞⎟⎠⋅⎛⎜⎝2−6−8⎞⎟⎠=⎛⎜⎝13−2⎞⎟⎠⋅⎛⎜⎝2−6−8⎞⎟⎠</em>

<em>    ∴(x)(2)+(y)(−6)+(z)(−2)=(1)(2)+(3)(−6)+(−2)(−8)</em>

<em>    ∴2x−6y−8z=2−18+16</em>

<em>    ∴2x−6y−8z=0</em>

<em>    ∴x−3y−4z=0</em>

8 0
3 years ago
What is the measure of an angle that turns through 1/5 of a circe
Ede4ka [16]
5 is the answer excuse it converts back to 5
7 0
2 years ago
Any basketball game Brittney scored 34 points. She scored all 34 points onto pointers and three pointers. She made a total of 15
diamong [38]

she made 11 three pointers


4 0
4 years ago
Read 2 more answers
Other questions:
  • On top of a hill, a rocket is launched from a distance 80 feet above a lake. The rocket will fall into the lake after its engine
    12·1 answer
  • 10 pts help me out!<br> Its kinda simple
    11·1 answer
  • A bag contains 7 green marbles 9 red marbles 10 Orange marbles and 10 blue marbles you choose a marble and replace it and choose
    15·1 answer
  • M &lt;N=<br>...the scale factor is 2
    10·1 answer
  • How much water is needed to fill a cylinder? This question is asking you to calculate the _____.
    9·1 answer
  • Proof of parallelogram
    5·2 answers
  • Cora spent $35.50 at Olive Garden. She left a 20% tip for her waiter. How much was the tip that Cora left
    6·1 answer
  • MUSIC Thirty-six percent of the songs on your MP3 player are pop songs.
    6·1 answer
  • Four brothers each bought 2 hot dogs and a bag of chips at the football concessino stand. If the bag of chips was $1.25, and the
    10·1 answer
  • Find the exact value of tan A in simplest radical form.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!