Consider points R, S, and T.
Which statement is true about the geometric figure that
can contain these points?
O No line can be drawn through any pair of the points.
VX
O One line can be drawn through all three points.
O One plane can be drawn so it contains all three
points.
OTwo planes can be drawn so that each one contains
all three points.
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Answer:

[tex]a = 3\sqrt{7}[/tex]

Step-by-step explanation:

Given

See attachment

Required

Determine (a)

To do this, we make use of Pythagoras theorem.

[tex]12^2 = a^2 + 9^2[/tex]

[tex]144 = a^2 + 81[/tex]

Collect like terms

[tex]a^2 = 144 -81[/tex]

[tex]a^2 = 63[/tex]

Take square roots

[tex]a = \sqrt{63}[/tex]

Expand

[tex]a = \sqrt{9*7}[/tex]

Split

[tex]a = \sqrt{9}*\sqrt{7}[/tex]

[tex]a = 3\sqrt{7}[/tex]

Answer:

Number 4

Step-by-step explanation:

Answer:

7 11/12

Step-by-step Explanation:

2 1/2 = 2 2/4

2 2/4 + 1 3/4 = 3 5/4 = 4 1/4

4 1/4 = 4 3/12

3 2/3 = 3 8/12

4 3/12 + 3 8/12 = 7 11/12

Answer:

n = 6

Step-by-step explanation:

Given

2 = [tex]\frac{n}{3}[/tex] ( multiply both sides by 3 to clear the fraction )

6 = n

Answer:

n=6

Step-by-step explanation:

If you divided 6 and 3 you would get an answer of 2. So the equation is saying n/3 which is n divided by 3 would give an answer of 2.

Answer: in the beginning she has 1920 Gp.

Step-by-step explanation:

Answer:

28° 30´ 24´ ´

Step-by-step explanation:

14° 15´ 12´ ´ x 2 = 28° 30´ 24´ ´

Answer:

nosee

Step-by-step explanation:

nada

Answer:

(x-2)^2+y^2=16

Step-by-step explanation:

If the center of the circle is (h,k) and the radius is r, then the equation of a circle is (x-h)^2+(y-k)^2=r^2 (with the Pythagorean theorem)

So, the center of this circle 0 is (2,0) and the radius is 4. Thus, the equation is (x-2)^2+y^2=16

Answer:

9 seconds

Step-by-step explanation:

When the ball reaches the ground, the height, h(t), is 0. Might as well make the numbers easier to work with - since for the x-intercepts (t-intercepts), h(t) = 0, you can divide the entire equation by the greatest common factor, in this case -16, to make things better:

[tex]0=-16t^2+128t+144\\0=t^2-8t-9[/tex]

Now you can solve this any way you like, such as by using:

[tex]\frac{-b \± \sqrt{b^2-4ac}}{2a}\\[/tex]

This is an easy polynomial though, and you may be able to factor it just by eyeballing it:

[tex]0=t^2-8t-9\\0=(t-9)(t+1)\\t=9,-1[/tex]

You can't have negative time, so we reject -1, leaving only 9 as the answer.

Answer:

B=95°

E=95°

D=20°

C=65°

BC=7cm

Step-by-step explanation:

the triangles look like they are identical, just different in size only. Since DE= 15 and AB=10 that may mean that they have a 5cm difference making side BC= 7cm since EF= 12 minus 5 equals 7cm. Now for the other angles, a triangle no matter what,if we put all their angles together equal 180°. We already know angle A= 20 so the same applies to angle D. We also know that angle F=65 degrees, that makes angle C the same. The only thing that's left are angles B and E that can be found by adding our other angles. So if A+C(20+65)=85 then 180-85=95 degrees is angle B and since the triangles are identical the same goes to E.

Answer:

(120/360) *100% = 33 red counters

Answer:

-1

Step-by-step explanation:

(-3 , 12)  & (4, 5)

Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\[/tex]

          [tex]= \frac{5 - 12}{4-[-3]}\\\\= \frac{-7}{4+3}\\\\=\frac{-7}{7}\\\\= -1[/tex]

Answer:

They are congruent.

Step-by-step explanation:

You can tell because a string of rigid transformations could lay them directly on top of each other without any parts hanging off.

You can reflect shape 2, rotate it, then translate it up to lay them on top of each other.

Answer:

Height is same for both the towers

Step-by-step explanation:

The computation is as follows;

For 1st tower

The height is

= 128 ÷ 4^2

= 8 inches

And,  

For the 2nd tower

The height is

= 288 ÷ 6^2

= 8 inches

So as we can see that the height of the both the tower is same i.e. 8 inches so the same should be considered

Answer:

Option C is correct

Step-by-step explanation:

[tex]a. - 3, - 12 \\ = 36[/tex]

[tex]b. - 6, - 6 \\ = 36[/tex]

[tex]c. \: \: 9, - 4 \\ = - 36[/tex]

[tex]d. \: \: 2,18 \\ = 36[/tex]

Answer:

Iliana cannot construct a triangle because the sum of the two smaller sides will not be greater than the third side. Iliana cannot construct a triangle because the sum of the two smaller sides will be greater than the third side.

Answer:

A

Step-by-step explanation:

The -2 indicates that y would be -2; because A is the only option with that being true, we can eliminate all other potential options rather quickly.

I believe this is 3/5x-2 but please take pictures with all information in view so we can provide better answers!

Answer:

The maximum angle is 84.3 degree.

Step-by-step explanation:

Sides of a triangle is

a = 6 , b = 11, c = 12

The maximum angle is opposite to c.

So,

[tex]a =6, b =11, c = 12 \\\\cos C =\frac{a^2+b^2-c^2}{2 ab}\\\\cos C =\frac{36+121-144}{2\times 6\times 11}\\\\cos C = \frac{13}{132}\\\\cos C = 0.0985\\\\C =84.3^o[/tex]

Answer:

The person above got it wrong its 84

Step-by-step explanation:

got it wrong on edge

Answer:

y = -3/4 x + B

Step-by-step explanation:

B is the translation of the line across y-axis

Factoring means to break and make it shorter.

Answers:

1. [tex]3rs=3*r*s[/tex]

2. [tex]12xy=2*2*3*x*y[/tex]

3. [tex]5x^{2} =5*x*x[/tex]

4. [tex]36x^{2} =2*2*3*3*x*x[/tex]

5. [tex]25x^{2} =5*5*x*x[/tex]

6. [tex]30x^{2} =5*7*x*x[/tex]

7. [tex]5x^{3} =5*x*x*x[/tex]

8. [tex]24y^{3}= 2*2*2*3*y*y*y[/tex]

9. [tex]9xy=3*3*x*y[/tex]

10. [tex]12x^{4} =2*2*3*x*x*x*x[/tex]

hope this helps

Answer:

289.92

Step-by-step explanation:

Multiply the numbers together

[tex]\longrightarrow{\green{289.9275}}[/tex] ✅

Step-by-step explanation:

[tex]39.99 \times 7.25 \\ \\ = 289.9275[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{♡}}}}}[/tex]

Answer:

Step-by-step explanation:

Question 1 = 2002

2002 - 2000 = 2 (the years since 2000)

y = (275 x 2) + 50

y = 875

Question 2 = 1425 likes

2005 - 2000 = 5 (the years since 2000)

y = (275 x 5) + 50

y = 1425

Question 3 = 2018

Since y = 5000

5000 - 50(the extra likes) = 4950

4950 / 275 = 18 (the years since 2000)

2000 + 18 = 2018 (the year)

Answer:

A = 108 ft²

Step-by-step explanation:

the length of the smaller rectangle must be 9 (27÷3)

therefore, the ratio of length to width is 3/9 and if the polygons are similar then the length and width of the larger shape would be 6/18

18 x 6 = 108

Answer:

y = -5x-9

Step-by-step explanation:

Slope intercept form is

y = mx+b  where m is the slope and b is the y intercept

10x + 2y = -18

Subtract 10x from each side

10x + 2y-10x =-10x -18

2y = -10x-18

Divide each side by 2

2y/2 = -10x/2 -18/2

y = -5x-9

Answer: B

Step-by-step explanation: 65/100 = 65%

Answer:

12/13 bags

Step-by-step explanation:

2/13 * 6 = 12/13

Answer:

lucas = 9

rafael = 6

Step-by-step explanation:

two equations can be derived from the question

r + l = 15 equation 1

r = l - 3  equation 2

r = rafael

l = lucas

substitute for r in equation 1

l - 3 + l = 15

combine similar terms

l + l = 15 + 3

2l = 18

l = 9

substitute for l in equation 1

r + 9 = 15

r = 15 -  9

r = 6

Answer:

d

Step-by-step explanation:

Answer:

0.167π

Step-by-step explanation:

r = 0.5

[tex]Volume = \frac{4}{3} \pi r^{3} = \frac{4}{3} \pi 0.5^{3} = 0.167\pi[/tex]