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
Gelneren [198K]
4 years ago
8

For exercises 11-14., can you make each conclusion from the information in the diagram? Explain

Mathematics
1 answer:
Marrrta [24]4 years ago
4 0

Answer:

True: 12, 13

False 11, 14

Step-by-step explanation:

Two lines intersect and form two pairs of vertical angles:

  • angles 2 and 4 are vertical;
  • angles 3 and the sum of angles 1 and 5 are vertical.

Vertical angles are always congruent, so

\angle 2\cong \angle 4 (12 statement is true)

\angle 3\cong \angle 1+\angle 5 (13 statement is true)

Angles 3 and 4 are supplementary angles (add up to 180°), but these angles can have different degree measures, so statement 11 is false.

Statement 14 is false too, because angle 3 can have the degree measure which differs form 90°.

You might be interested in
Aubrey has a Shelf full of books exactly one third of books on the Shelf are Mysteries. Aubrey has read 10 of the mysteries on t
CaHeK987 [17]
The correct answer for this question is this one: "<span>147"</span>

Here's how to solve this problem.

Let  <span>x = number of mystery books on the shelf </span>
<span>Let 3x = total number of books on the shelf </span>

<span>we are told that </span>
<span>x/5<10<x/4 </span>
<span>multiply by 20, </span>
<span>4x<200<5x </span>
<span>which means that </span>
<span>40<x<50 </span>
<span>So the number of mystery books can be any number between 41 and 49.
In other words, the possible total number of books could be three times the above numbers, 123, 126, 129,.... </span>
Choose the one that suits your answer choices.

Here are the following choices:
Which could be the number of books on the shelf? 
A. 120 B 140 c 147 D 150

4 0
3 years ago
Which circle is the graph of the equation (x-4)2+(y-3)2=4? gradpoint
Rainbow [258]

Answer:

The center-radius form of the circle equation is in the format (x – h)2 + (y – k)2 = r2, with the center being at the point (h, k) and the radius being "r". This form of the equation is helpful, since you can easily find the center and the radius.

Step-by-step explanation:

hope this helps you :)

8 0
3 years ago
Work out the gradient of a line that passes through co-ordinates (3,4) &amp; (6,16).<br>​
Ipatiy [6.2K]

Answer:

4.33

Step-by-step explanation:

Given data

x1= 3

y1=3

x2=6

y2=16

M= y2-y1/x2-x1

substitute

M=16-3/6-3

M= 13/3

M=4.33

Hence the gradient is 4.33

3 0
3 years ago
Comparing Rates:I kinda need help with the whole thing...
Stells [14]
[1] Amount of water per minute
Water Miser:  m = 3.0 gal/min
Watersaver:   m = 2.5 gal/min
Waterstream: m = 1.5 gal/min

[2] Equations:
I would suggest using y = mx.
Water Miser:  y = 3x
Watersaver:   y = 2.5x
Waterstream: y = 1.5x

[3] For 6,8,10, and 12 minutes:
Plug in x = 6, x = 8, x = 10, and x = 12 into each of the three equations and record the y-values.

[4] Which would you buy?
Depends on your personal opinion.

Want to save the earth? Pick the one that uses the least amount of water.

Want to have a waterfall for a shower? Pick the one that uses the most amount of water. :)
6 0
3 years ago
Help I guess? sorry I'm asking a lot of questions today
valina [46]

Answer:

63 houses have been sold this year.

Step-by-step explanation:

There are 81 houses in the community. If 7/9 are sold this year, then all you have to do is multiplication.

In this case, you would multiply 81 by 7/9 to get your answer.

81/1 x 7/9:

Cancel out the 9 and the 81. Then the denominator will be 1 x 1 and the numerator would be 7 x 9. It would be 63 (7x9=63) over 1 (1x1=1) which is just 63. Make sure to include units.

4 0
3 years ago
Read 2 more answers
Other questions:
  • A line with a slope of 5 passes through the points (v,-9 and (7,6). What is the value of v?
    13·1 answer
  • Casey has a job doing valet parking. Casey makes an hourly rate of $4.55 per hour plus tips. Last week Casey worked 26 hours and
    14·2 answers
  • Solve the question x+3=5
    6·2 answers
  • Factor x2 - 3x - 40.
    9·1 answer
  • Find f(3) for f(x)=−5x−2<br><br> A. -10<br><br> B. -15<br><br><br> C. 13<br><br><br> D. -17
    11·1 answer
  • Determine the number of acute, obtuse, and right angles in the shape above <br>​
    8·1 answer
  • Dan and Alan take turns mowing the grass of a yard that is 2400 square yards in area. Dan takes an hour to mow the whole lawn us
    8·1 answer
  • You pay $80 for a game system. The monthly rental fee for games
    10·2 answers
  • Functions
    14·2 answers
  • Answer questions 1, 7, 8, 9, and 10 pls :)
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!