A side of the triangle below has been extended to form an exterior angle of 149º. Find
the value of x.

Answer:

x=7

Step-by-step explanation:

5x-15=30

add 15 to both sides

5x=45

divide by 5

x=7

Answer:

Step-by-step explanation:

t1 = 10

t(n) = 3t_(n - 1) - 1

t(2) = 3*t(2 -1) - 1

t(2) = 3*t1 - 1

t(2) = 3*10 - 1

t_2= 30 - 1

t_2 = 29

t3 = 3*t2 - 1

t3 = 3*29 - 1

t3 = 87 - 1

t3 = 86

t4 = 3*t3 - 1

t4 = 3*86 - 1

t4 = 258 -1

t4 = 257

Answer:

E

Step-by-step explanation:

Im smart and watch this stuff thats how! lol

Answer:

10,000

Step-by-step explanation:

Answer:

i think 4 units im not sure though though

Step-by-step explanation:

Answer:

The radius of the circle A is 3.61 units.

Step-by-step explanation:

Got it right on edmentum

Paragraph 1: Spring is the most beautiful time of the year - the Authors opinion and not fact.

Paragraph 2: Birds love the spring - Nobody knows how a bird is feeling, this is just based off of the Author trying to make a scenery for you.

Hoped this helped :)

Answer:

[tex]x^{6} y^{4}[/tex]

Step-by-step explanation:

[tex]( x^{3}*y^{2} )^{2}[/tex]= [tex]x^{3} *x^{3} *y^{2}* y^{2}[/tex]= [tex]x^{6} *y^{4}[/tex]

Answer:

72 sq ft

Step-by-step explanation:

cuz 8x9 is 72 hope it helps

Answer:

25

Step-by-step explanation:

x = (20/28) * 35

x = 25

Answer:

D) 29.8

Step-by-step explanation:

cos(62°) = 14/x

x = 14/cos(62°)

x = 29.8

Answer:

6/7 or -6/7

Step-by-step explanation:

Pythagoras.

c² = a² + b²

the trigonometric functions in a norm circle (radius = 1) express the side lengths of inscribed right-angled triangles.

sin(x) is one side (e.g. "a") "touching" the 90 degree angle.

cos(x) is the other side ("b") of the 90 degree angle.

and the radius (1) is the Hypotenuse (the side opposite of the 90 degree angle), which is called "c" in the formula of Pythagoras.

so, we have

1² = (sqrt(13)/7)² + b²

b² = 1² - (sqrt(13/7)² = 1 - 13/49 = 49/49 - 13/49 = 36/49

b = cos(x) = sqrt(36/49) = 6/7

as we don't know anything about the angle x except that it has a positive sin(x) value, the cos(x) value can be positive or negative depending on if x is an angle of the first or of the second quadrant in the norm circle.

in the first quadrant cos(x) is also positive, in the second quadrant cos(x) is negative.

the third and fourth quadrants do not apply, as sin(x) would be negative for both.

Answer:

Case 1: 7y + x - 20 = 0 (Perpendicular)

Case 2: y - 7x + 40 = 0 (Parallel)

Step-by-step explanation:

Case 1: Perpendicular

Equation of the given line y = 7x - 6

Comparing with the general equation y = mx + c; m = 7

For two lines to be perpendicular, the product of their gradients is (-1) or we can also say; gradient of one line must be the negative inverse of the other gradient.

So the gradient of a line perpendicular to y = 7x - 6 should be (-1/7)

Now solving for the equation of the line using the formula

y - y = m(x - x ) where (x , y ) are the coordinates of the point.

substituting..

y - 2 = (-1/7)(x - 6)

7(y - 2) = -1(x - 6)

7y - 14 = -x + 6

7y + x -14 - 6 = 0

7y + x - 20 = 0 is the equation of the line perpendicular to y = 7x - 6 and passes through the point (6,2)

Case 2: Parallel

Equation of the given line y = 7x - 6

Comparing with the general equation y = mx + c; m = 7

For two lines to be parallel, they must have equal gradients.

So the gradient of a line parallel to y = 7x - 6 should be 7

Now solving for the equation of the line using the formula

y - y = m(x - x ) where (x , y ) are the coordinates of the point.

substituting..

y - 2 = 7(x - 6)

y - 2 = 7x - 42

y - 7x -2 + 42 = 0

y - 7x + 40 = 0 is the equation of the line parallel to y = 7x - 6 and passes through the point (6,2)

Answer:

Yes, by AAA.

Step-by-step explanation:

The triangles share 3 pairs of congruent angles. Therefore, these triangles can be proven to be congruent by AAA congruence theorem.

Answer:

yes by ASA

Step-by-step explanation:

angle gdf equals angle edf

side DF is common to both

angle gfd equals angle efd

hence by ASA (short for angle side angle)

answer

x, y - intercepts are (0, -1) and (-4, 0)

Step-by-step explanation:

put x and y = 0 respectively in given equation to get intercepts

Answer:

$3.20

Step-by-step explanation:

because they add 10 cents every year.

12x10= $1.20

2.00+1.20= 3.20

Answer:

98 cats and 19 dogs

Step-by-step explanation:

cat = c

dog = d

The animal shelter currently has a total of 117 animals

c + d = 117

c = 117 - d

the number of cats is 3 more than 5 times the number of dogs

c = 3 + 5d

subtitute c

117 - d = 3 + 5d

117 - 3 = 5d + d

114 = 6d

6d = 114

d = 114/6 = 19

so, the cat is 117-19 = 98

Answer:

[tex]{ \bf{2x - 5y = 5 - - - (a)}} \\ { \bf{x + y = 2 - - - (b)}} \\ (a) - 2(b) : \\ - 7y = 1 \\ y = - \frac{1}{7} \\ x - \frac{1}{7} = 2 \\ x = \frac{15}{7} [/tex]

Answer:

[tex]x = \frac{15}{7} , \ y = - \frac{1}{7}[/tex]

Step-by-step explanation:

2x - 5y = 5  ---------- ( 1 )

 x + y = 2  ------------ ( 2 )

x = 2 - y ---------( 3 )

Substitute x in ( 1 ) :

                         2( 2 - y) - 5y = 5

                             4 - 2y - 5y = 5

                                - 7y = 5 - 4

                                   -7 y = 1

                                       [tex]y =- \frac{1}{7}[/tex]

Substitute y in ( 2 ) :

                         [tex]x + y = 2\\\\x -\frac{1}{7} = 2\\\\x = 2 + \frac{1}{7}\\\\x = \frac{14 + 1}{7}\\\\x = \frac{15}{7}[/tex]

Answer:

I think it would be 11.2

Step-by-step explanation:

because if I is 10 and it only goes across to the other side then it would only be 11.2

Answer:

we dont have all the information and dont know the question

Answer:

The quadratic equation is x^2 + 4x - 32 = 0

Step-by-step explanation:

(x - 4)(x+8) = 0

x^2 + 4x - 32= 0

Answer:

If the solutions (or roots, or zeros) are -4 and -8 then the factors are (x+4) and (x-8), so the equation would by:

Y=(x+4)(x-8) foil it out.

Y=x(2)+4x-(8)x-6)

Y=x(2)+(5/2)x-6

Hope this helped.

Answer:

the value of 2 cube is 8

I hope it helps

have a great day

[tex]#Liliflim[/tex]

Answer:

the value of two cubed is 8

Answer:

It's 33.33%

Step-by-step explanation:

It's 3/9 = 1/3 = 0.3333 = 33.33%

Answer and Step-by-step explanation:

For the first one, x is equal to 61 (180 - 63 - 56 = 61)

and y = 4

51 = 12y + 3

48 = 12y

y = 4

For the second one,

x = 11

11x - 4 = 117

11x = 121

x = 11

y = 5

17y - 8 = 12 + 13y

4y = 20

y = 5

#teamtrees #PAW (Plant And Water)

Given:

A diagram of two triangles.

To find:

Whether the triangles are congruent or not.

Solution:

In triangles DEF and DGF,

[tex]m\angle EDF\cong m\angle GDF[/tex]             (Given)

[tex]\overline{DF}\cong \overline{DF}[/tex]                              (Reflexive property)

[tex]m\angle DFE\cong m\angle DFG[/tex]             (Given)

Two corresponding angles and their included angles are congruent, so the triangles are congruent by ASA postulate.

[tex]\Delta DE F\cong \Delta DGF[/tex]                   (ASA congruence postulate)

Therefore, yes the triangles are congruent by ASA. Hence the correct option is A.

Answer: I’m going towards no bc they all are aaa and there no aaa in geometry

Step-by-step explanation:

Answer:

nooooooooooooooooooooooooooooooooooooooo