prove that hilbert's euclidean parallel postulate implies the converse to the alternate interior angle theorem

Answer:

The answer would be D.

Answer:

The answer is D 4(1 + 9x) or C depending on what school website you use.

Step-by-step explanation:

Answer:

x= 90 degree

y= 43 degree

Step-by-step explanation:

We have been given an isosceles triangle being two sides equal AB and AC

By the property of isosceles triangle

The sides which are equal will have same base angle

Hence, ∠ABC=∠ACB=

We know that sum of angles of triangle is  

∠ABC+ ∠ACB+∠BAC=      (1)

Since, ∠BAC is the bisector so, ∠BAD and ∠DAC are equal which is  

Now, substituting the values in (1) we get:

Now, we will consider ΔABD to find x

,∠ADB=∠ABD=

Now, Apply the sum of angles of triangle is  we get:

Answer:

x = 8[tex]\sqrt{7}[/tex]

y = 4[tex]\sqrt{21}[/tex]

Step-by-step explanation:

use the altitude rule to find the height of the triangle first

12/h = h/16

h² = 12x16

h = [tex]\sqrt{192}[/tex]

h = [tex]\sqrt{4}[/tex][tex]\sqrt{4}[/tex][tex]\sqrt{4}[/tex][tex]\sqrt{3}[/tex] = 8[tex]\sqrt{3}[/tex]

now you can use the Pythagorean Theorem with height of 8[tex]\sqrt{3}[/tex] along with the other leg of 12 to find 'y'; which comes out to be [tex]\sqrt{336}[/tex] or [tex]\sqrt{4}[/tex][tex]\sqrt{4}[/tex][tex]\sqrt{21}[/tex]

then use the Pythagorean Theorem with height of 8[tex]\sqrt{3}[/tex] along with the other leg of 16 to find 'x'; which comes out to be [tex]\sqrt{448}[/tex] or [tex]\sqrt{4}[/tex][tex]\sqrt{4}[/tex][tex]\sqrt{4}[/tex][tex]\sqrt{7}[/tex]

Answer:

[tex]Volume = 7200in^3[/tex]

Step-by-step explanation:

Given

[tex]B = 24[/tex] --- base of the tank base

[tex]h = 20[/tex] --- height of the tank base

[tex]H = 36[/tex] --- height of the tank

Required:

Determine the volume of water needed for 6 inches below the top

First, calculate the area of the tank base.

[tex]Area = \frac{1}{2}Bh[/tex]

[tex]Area = \frac{1}{2}*24*20[/tex]

[tex]Area = 12*20[/tex]

[tex]Area = 240[/tex]

If the tank is filled 6 inches below the top, this means that the height of the water is H - 6.

So, the volume is:

[tex]Volume = Area * (H - 6)[/tex]

Substitute 240 for Area and 36 for H

[tex]Volume = 240 * (36 - 6)[/tex]

[tex]Volume = 240 * 30[/tex]

[tex]Volume = 7200in^3[/tex]

Answer:

2r

Step-by-step explanation:

2r is the answer because:

We have to switch the -3r in to +3r and positive + positive = positive.

Then we change the add sign in to subtracting sign and we subtract:

3r-5r and  it will give us:

2r

And we keep the answer positive  because our answer was a +5r so the bigger number keeps the sign  the same.

Step-by-step explanation:

[tex]2x + 5 = 11 \\ 2x = 11 - 5 \\ 2x = 6 \\ x = 6 \div 2 \\ x = 3[/tex]

Answer:

45 because an acute angle is 45 degrees

Answer:

22.5

Step-by-step explanation:

22.5 + 22.5 x 3 =

22.5 + 67.5 =

90

Hope that helps!

Answer:

x=(-40)

Step-by-step explanation:

x+29= (-11)

x+29=(-11)

  -29=-29

x=(-40)

Answer:

x=-11+29

x=18

Step-by-step explanation:

Answer:

141.5 in

Step-by-step explanation:

sin 58 = m/p = 120/p

120 = psin58

120/sin 58 = p

p = 141.5 in.

Another way to look at this problem is to remember that the hypotenuse of a right triangle is the longest side.  Since 141.5 is the only answer greater than 120, it would have to be the logical choice for the length of p

Answer:

2

Step-by-step explanation:

14 divided by 7 is two customers in one minute

Answer:

After one minute there will be 2 people inside the store.

Step-by-step explanation:

First we put this into a proportion. Aka set up like a fraction.

14 (customers)                 x

-------                 --->         ------

7 (minute)                      1 minute

In order to find x, we must divide by 7  because in order to make the bottom number one on the bottom, you must divide by 7 , so we do the same to the top.

14/7 is 2.  

This means that per minute, there are 2 people inside the store.

After one minute, There will be 2 people inside the store.

Answer:

translation of ABC to A'B'C' is 5,3

Answer:

$386.75

Step-by-step explanation:

First we must find the price of the camera after the man sold it, with the 10% loss.

To do this we find 10% of 414, which is 41.4 . Meaning the camera was originally bought from the dealer for $455.40, as we have to add the 10% back onto the price.

Now we find 15% of 455 and subtract it, with 15% being 68.25, the original cost was $386.75. My guy was seriously ripped off :(.

Answer:

The answer is 6/25 :8/25

Answer:

D )        x+y=w

Step-by-step explanation:

An exterior angle of a triangle is equal to the sum of the two opposite interior angles.

Answer: 7m - 40

Step-by-step explanation:

Monday = m

Tuesday = m + 15

Wednesday = m + 15 + 30 = m + 45

Thursday = 2 × m = 2m

Friday = 2m - 20

The expression will now be:

= m + m + 15 + m + 45 + 2m + 2m - 20

= 7m- 40

Answer:

she made a profit of 18$

50*1.2=60-42=18

Step-by-step explanation:

Answer:

r=9

Step-by-step explanation:

13r=117

r=117/13

r=9

Answer:

x = 7

All 8 angles measure 135°

Step-by-step explanation:

(n-2)·180 = (8-2)·180 = 1,080°; this is the total of all interior angles

each angle is equal so we can divide 1080 by 8 and find that each angle measures 135°

to solve for 'x':

16x + 23 = 135

16x = 112

x = 112/16

x = 7

check:  16(7) + 23 = 135

             112 + 23 = 135

             135 = 135

Answer:

√169

Step-by-step explanation:

its is a rational, thats all I can help with

Answer:

-2⅓

Step-by-step explanation:

-4 + 5/3 Start out with this sum.

-4 + 1 ⅔ Make 5/3 into a mixed number.

-2 ⅓ Then add them together. The best way to do this is to first add -4 and 1 which makes -3. Then add ⅔ to -3 which is -2 ⅓

Answer:

d. linear

Step-by-step explanation:

using the format y=mx+b

Answer:

Find each measure. 9. NP. ANSWER: 14. 10. PS.

Step-by-step explanation:

The length of JQ is 18.79 unit.

According to the Pythagoras theorem, a triangle's hypotenuse square equals the sum of its other two sides' squares.

Given:

Q is the incenter of JLN

QP= QK= QM= 9 units

Now, In Δ JPQ

JP= 16.5, QP =9 , QP⊥ JP

So, JQ = √JP² + QP²

JQ= √16.5²+ 9 ²

JQ= 18.79 units

Hence, the length of JQ is 18.79 unit.

Learn more about Pythagoras Theorem here:

https://brainly.com/question/343682

#SPJ2

Answer:

150 degrees

Step-by-step explanation:

The degrees of a n-sided polygon is given by the expression:

180  (  n  −  2 )

where  n  is the number of sides. As we know that it ahs 12 sides, so

=180  (  12  −  2 )

=180  (  10 )

=1800 i.e. Therefore, there are  1800  degrees in a  12

-gon.

To find the measure of the angles, we know that the sum of all the angles is 1800 degrees, and there are 12 angles. So,

1800/12 = 150

So, the measure of the interior angle of a 12-gon is 150 degrees.

Answer:

2$

Step-by-step explanation:

you can see that for every mile, the cost goes up 1.5 dollars, and if you tale the lowest amount, 2 miles, multiply by 1.5 = 3, and then subtract that from 5, you get 2

Answer:

8*29=232

Step-by-step explanation:

if you take 8*20 you get 160

if you take 8*9 you get 72

Add them and you get 232

Answer:

The coordinates of B are (-1, -5).

Step-by-step explanation:

Since the x-coodinate of M is 2 greater than that of B (note that -3 = -5 + 2), the x-coordinate of B is found by adding 2 to -3, obtaining -1.  The y-coordinate of M is -3, which is 2 less than the y-coordinate of A;  Thus, the y-coordinate of B is 2 less than -3, that is, -5.

The coordinates of B are (-1, -5).

Answer:

Its 42 percent

Step-by-step explanation:

0.25+0.5+0.10+0.2=0.42 or 42%

All the change added together is 42/100 because a dollar is just 100 cents.

Answer:

the answer is the M

Step-by-step explanation:

angle A and M both have 2 arcs which means they are congruent(equal)

Answer:280

Step-by-step explanation:

If the main group is a ratio of girls to boys 16:12 and the 12 is increased to 210 then do 210/12=17.5 and multiply the 17.5 by 16 to get 280