Determine if triangles with the following side lengths are possible.

A: 5 8 4
B: 3, 6, ,2
C: 7, 5, 4,

[tex]12>-2(y-4)\\\\\implies -\dfrac{12}2 <y-4~~~;[\text{Dividing by a negative number, so reverse the inequality.}]\\\\\implies -6<y-4\\\\\implies -6+4<y\\\\\implies -2<y\\\\\implies y>-2\\\\\text{Interval,}~ (-2,\infty)[/tex]

Answer:

68

Step-by-step explanation:

The sum of two interior angles in a triangle is equal to an exterior angle that is supplementary to the third interior angle

3x - 2 + 4x + 4 = 6x + 8 add like terms

7x - 2 = 6x + 8

7x - 6x = 8 + 2

x = 10

The measure of exterior angle

6x + 8 = 6*10 + 8

The measure of exterior angle is 68 degrees

Answer:

[tex]\frac{3}{4}[/tex]

Step-by-step explanation:

y = mx + b , "m" is slope and "b" is y-intercept

~~~~~~~~~~~~~

3x - 4y = 7

- 4y = - 3x + 7

y = [tex]\frac{3}{4}[/tex] x - [tex]\frac{7}{4}[/tex] ⇒ m = [tex]\frac{3}{4}[/tex]

Answer: 1.75

Step-by-step explanation:

5.25 / 3 = 1.75

1.75 x 4 = 7

7 + 5.25 = 12.25

1.75 x 7 = 12.25

since they are the same answer it's right

Answer:

See explanation

Step-by-step explanation:

4x = 12x + 32

Subtract 12x from both sides

-8x = 32

Divide each side by -8.

x = -4

Answer:

True, see attached photo, if this helped you please give Brainliest

Step-by-step explanation:

Answer:

sorry cant see the question

Step-by-step explanation:

ans=3x+1

Step by step solution

=3(x+2)-5

=3x+6-5

=3x+1

Answer:

-71

Step-by-step explanation:

Answer:

-71

Step-by-step explanation:

[-18+(-22)]-43+12

=(-18+22)-43+12

=-40-43+12

=-83+12

=-71

9. yes, 2 congruent sides

10. no

11. yes, 1 congruent side and angles

12. yes, 1 congruent side and angles

13. yes, 1 congruent side and angles

14. yes, 2 congruent sides

15. yes, congruent sides and angles

16. yes, congruent angles and sides

Answer:

  x = 6

  AC = 24

Step-by-step explanation:

The midpoint divides the segment into two congruent parts.

  AB = BC

  BC -AB = 0

  x^2 -24 -2x = 0

  (x -1)^2 = 25 . . . . . . add 25, write as a square

  x = 1 +√25 = 6 . . . . only the positive solution is of interest.

AC = 2(AB) = 2(2x) = 4(6) = 24

The value of X is 6, and the length of AC is 24 units.

If B is the midpoint

Distance is positive

AC

Answer:

[tex]\displaystyle m = \frac{4}{5}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Coordinate Planes

Slope Formula: [tex]\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Identify points.

Point (-3, 1)

Point (2, 5)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m.

The x and y coordinates of point C are -2.6 and 5.2, respectively

The coordinate of the points are given as:

[tex]A = (-4,8)[/tex]

[tex]B =(2,-4)[/tex]

The ratio is given as:

[tex]m :n = 3 : 10[/tex]

The point at the given ratio is calculated as:

[tex]C = (\frac{mx_2+nx_1}{m+n},\frac{my_2+ny_1}{m+n})[/tex]

So, we have:

[tex]C = (\frac{3 \times 2 + 10 \times -4}{3+10},\frac{3 \times -4 +10 \times 8}{3+10})[/tex]

Simplify

[tex]C = (\frac{-34}{13},\frac{68}{13})[/tex]

[tex]C = (-2.6,5.2)[/tex]

Hence, the x and y coordinates of point C are -2.6 and 5.2, respectively

Read more about line ratios at:

https://brainly.com/question/11764811

Answer:

a

Step-by-step explanation:

Answer:

360 is the answer

Step-by-step explanation:

hi

have a good day

hope it helps you

thank me later

carryonlearing

Answer:

Step-by-step explanation: 2\frac{u^2}{8}u^4=10\frac{u^3}{9}u

Answer:

6 1/2

Step-by-step explanation:

21 1/8 divided by 3 1/4

Put into improper fractions

169 / 8 divided by 13 / 4

Multiply by the reciprocal

169 / 8 x 4 / 13

= 6 1/2

Answer:

  c = -1/2

Step-by-step explanation:

Put the known values in the equation and solve for the unknown.

  k = cd² +e

  3 = c(2²) +5

  -2 = 4c . . . . . . . subtract 5

  -1/2 = c . . . . . . divide by 4

Answer:

True because you need to divide by -4 at one stage. Dividing by  a negative number will reverse the inequality.

Step-by-step explanation:

[tex]-4n+3>7\\\\\implies -4n >7-3\\\\\implies -4n> 4\\\\\implies n<\dfrac{4}{-4}\\\\\implies n<-1\\\\\text{Interval,}~ (-\infty, -1)[/tex]

Answer:

Answer: Using Probability to Increase the Odds of success

Answer:

-3

Step-by-step explanation:

I just need 20 characters to help out so yeah

Answer:

  angles: 150°, 108°, 90°, 12°

Step-by-step explanation:

The size of each sector of a pie chart is proportional to the size of the data item being represented. Here, the total of all frequency numbers is ...

  25 +18 +15 +2 = 60

These 60 are represented in the chart by 360°, so each unit of frequency is represented by 360°/60 = 6°.

The 25 destinations in France are represented by a sector that is ...

  25 × 6° = 150°

The 18 destinations in Spain are represented by a sector that is ...

  18 × 6° = 108°

The 15 destinations in Greece are represented by a sector that is ...

  15 × 6° = 90°

The remaining (Other) destinations are represented by the remaining part of the circle:

  2 × 6° = 12°

You can draw the sector dividers in the circle using a protractor or geometry application, or you can let a spreadsheet draw the entire pie chart for you.

__

The attachment is roughly what the finished product would look like. We have included the angle measures, so you can see what they are. Ordinarily, those would not be present. The labels might include data values or percentages, as you may decide. The purpose is to communicate, so you need to figure what message you want the chart to communicate, and label it appropriately.

Answer:

angles: 150°, 108°, 90°, 12°

Step-by-step explanation:

The size of each sector of a pie chart is proportional to the size of the data item being represented. Here, the total of all frequency numbers is ...

25 +18 +15+2 = 60

These 60 are represented in the chart by 360°, so each unit of frequency is represented by 360` = 6°.

The 25 destinations in France are represented by a sector that is ...

25 x 6° = 150°

The 18 destinations in Spain are represented by a sector that is ...

18 x 6° = 108°

The 15 destinations in Greece are represented by a sector that is ...

15 x 6° = 90°

The remaining (Other) destinations are represented by the remaining part of the circle:

2 x 6° = 12°

You can draw the sector dividers in the circle using a protractor or geometry application, or you can let a spreadsheet draw the entire pie chart for you.

The attachment is roughly what the finished product would look like. We have included the angle measures, so you can see what they are. Ordinarily, those would not be present. The labels might include data values or percentages, as you may decide. The purpose is to communicate, so you need to figure what message you want the chart to communicate, and label it appropriately.

Answer:

y = 4/7x

Step-by-step explanation:

(0,0)

(7,4)

up 4 right 7

4/7

y = 4/7x

Answer:

y = 4/7 x

Step-by-step explanation:

using rise/run = slope

rise = 4

run= 7

4/7 = slope

Answer:

8x+5y=184

Hope This Helps!!!

Answer:

$46.8

Step-by-step explanation:

Price for Super Sports:

$72.5*0.8=$58 (20% discount so price is 80% of original price)

$58+$58*0.065=$61.77 (6.5% sales tax added after discounted price)

$61.77*12=$741.24

Price for Double Dribble:

$54.75+$54.75*0.09=$59.6775≈$59.68 (9% processing fee added to cost; round to 2 decimal places)

$59.68+$5.99=$65.67 (shipping fee)

$65.67*12=$788.04

Difference in price:

$788.04-$741.24=$46.8

If you have questions please ask in the comments; also please give this answer brainliest if you found it useful!

Answer:

∠ LKJ = 64°

Step-by-step explanation:

Since KJ = KL then the triangle is isosceles with the 2 base angles being congruent, that is

∠ J = ∠ L = 58° , then

∠ LKJ = 180° - 58° - 58° = 180° - 116° = 64°

Answer:

  x = 9/4

Step-by-step explanation:

Locate point G on segment DE so that DG = 1 and GE = 4. CG is parallel to AD, so ΔCGE ~ ΔABC. Corresponding sides are proportional.

  AB/BC = CG/GE

  x/1 = 9/4

  x = 9/4

_____

Additional comment

Using the given triangles, you can write the proportion statement as ...

  (9+x)/x = 5/1

We judge this to take more steps to solve, so we prefer the method shown above.

Answer:

the angles are 89.2°, 34.5°, 56.3° and the sides are √26units, √8units, √18units respectively

Step-by-step explanation:

Distance between points (2,5) and (-1,2)

Using the formula, √(X2 - X1)² + (Y2 - Y1)²

= √(-1-2)²+(2-5)²

=√(-3)²+(-3)²

=√9+9

=√18 or 3√2

Distance between points (-1,2) and (4,3)

=√[4-(-1)]²+(3-2)²

= √5²+1²

=√25+1

=√26

Distance between points (2,5) and (4,3)

=√(4-2)²+(3-5)²

=√2²+(-2)²

=√4+4

=√8

Using Cosine rule/formula, C²= A²+B²-2abcosc

Let C be √18, A be √26 and B be √8

√18²=√26²+√8² - 2√26.√8cosc

18= 26+8 - 2√208cosc

18= 34 -2√208cosc

2√208cosc= 34-18

Cosc = 16/2√208

Cosc= 0.5546

c= Cos`¹(0.5547)

c= 56.3°

Using sine rule/formula

Sinc/C= Sina/A=Sinb/B

Sin56.3/√18= Sina/√26

Sina= (0.8320 × √26)/ √18

Sina= 0.9999

a= Sin`¹(0.9999)

a= 89.2

56.3+89.2+b= 180°( sum of angles in a triangle)

145.5 + b =180

b=180-145.5

b= 34.5

Answer:

I believe it is 30.

Step-by-step explanation:

on the screenshot it shows 18, 24, 30, meaning 30 is the answer

Answer:

The first six numbers are [tex]-2,1,-2,1,-2,1[/tex]

Step-by-step explanation:

First term is [tex]-2[/tex]

The term to term rule is 'square and subtract [tex]3[/tex]'

Second term[tex]=(-2)^{2} -3=1[/tex]

Third term[tex]=(1)^{2} -3=-2[/tex]

Fourth term[tex]=(-2)^{2} -3=1[/tex]

Fifth term[tex]=(1)^{2} -3=-2[/tex]

Sixth term[tex]=(-2)^{2} -3=1[/tex]

The first six numbers are [tex]-2,1,-2,1,-2,1[/tex]

Answers:

[tex]h = -\frac{b}{2a}\\\\k = \frac{-b^2+4ac}{4a}\\\\[/tex]

where 'a' cannot be zero.

=========================================================

Explanation:

The vertex is (h,k)

The x coordinate of the vertex is h which is found through this formula

[tex]x = -\frac{b}{2a}[/tex]

For example, if we had the quadratic [tex]y = 3x^2-6x+5[/tex], then we'll plug in a = 3 and b = -6 to get: [tex]h = -\frac{b}{2a} = -\frac{-6}{2*3} = 1[/tex]

------------

To find the value of k, we plug that h value into the original standard form of the quadratic and simplify.

[tex]y = ax^2+bx+c\\\\k = ah^2+bh+c\\\\k = a\left(\frac{-b}{2a}\right)^2+b\left(\frac{-b}{2a}\right)+c\\\\k = a*\frac{b^2}{4a^2}+\frac{-b^2}{2a}+c\\\\k = \frac{b^2}{4a}+\frac{-b^2}{2a}+c\\\\[/tex]

[tex]k = \frac{b^2}{4a}+\frac{-b^2}{2a}*\frac{2}{2}+c*\frac{4a}{4a}\\\\k = \frac{b^2}{4a}+\frac{-2b^2}{4a}+\frac{4ac}{4a}\\\\k = \frac{b^2-2b^2+4ac}{4a}\\\\k = \frac{-b^2+4ac}{4a}\\\\[/tex]

It's interesting how we end up with the numerator of [tex]-b^2+4ac[/tex] which is similar to [tex]b^2-4ac[/tex] found under the square root in the quadratic formula. There are other ways to express that formula above. We need [tex]a \ne 0[/tex] to avoid dividing by zero. The values of b and c are allowed to be zero.

Answer:

The minimum is at (1,-8). In the equation y = (x – 1)2 – 8, h = 1 and c = 8. So, the x-coordinate of the minimum is the same as the h-value in the equation, and the y-value of the minimum is the opposite of the c-value.

Step-by-step explanation:

plato

Answer:

17.5

Step-by-step explanation:

7*5/2