Consider the diagram below.

What is the value of x?
A. 61°
B. 68°
C. 112°
D. 119°

Sum of the exterior angles of a pentagon = 360

              ⇒   115 + 2x + 3x + x + x = 360      

                                   [simplify the x terms and subtract 115 from both sides]

                                                  7x = 360 - 115   [divide both sides by 7]            

Answer:

y = x² - 6x + 9

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k ) = (3, 0 ) , then

y = a(x - 3)² + 0

To find a substitute (1, 4) into the equation

4 = a(1 - 3)² = a(- 2)² = 4a ( divide both sides by 4 )

1 = a

y = (x - 3)² = x² - 6x + 9

Answer:

Actually you did everything right

Step-by-step explanation:

yes

This question requires proving congruency of triangles in a given co-ordinate system we by use of ASA(angle side angle) theorem.

An isosceles right angle triangle has two equal sides and the corresponding angles will also be equal it will be of 45° - 45° - 90°.

The hypotenuse will be [tex]\sqrt{2}[/tex] times of the equal sides.

A. We have chosen x-axis as a line of refection.Reflection along x-axis idicates rotation  of 180° along x axis.

B. We are sure that each point is reflected accross this line because base has same magnitude but the signs have changed and rotation along x-axis doesn't change the value of y co-ordinate.

C. Rotaion along X-axis by 180°.

Learn more about Triangles and It's properties here :

https://brainly.com/question/9872652

#SPJ2

Answer:

they're all in order plz give brainliest

Step-by-step explanation:

2n+4=12

5n-2=8

5+3n=5

4n+7=11

2n-1=9

7n-2=54

2n+8=32

3n+7=34

2n+4=16

5n-17=53

3n-7=14

12+2n=44

9n+2=29

3n-15=36

11+5n=66

7n-9=82

3n-11=34

Answer:

A. -5

Step-by-step explanation:

A zero is the same as the x-intercept, or the point that intersects the x-axis

Answer:

52.8

Step-by-step explanation:

i think this is right

Answer:

[tex]x=1[/tex]

Step-by-step explanation:

[tex]6\left(x-3\right)+10=2\left(4x-5\right)[/tex]

We'll use the distributive property to multiply 6 by (x-3):

[tex]6x-8 +10=2(4x-5)[/tex]

*Distributive property*, multiply 2 by (4x-4)

[tex]6x-8=8x-10[/tex]

Add 8 from both sides:

[tex]6x-8+8=8x-10+8[/tex]

[tex]6x=8x-2[/tex]

Subtract 8x from both sides:

[tex]6x-8x=8x-2-8x[/tex]

[tex]-2x=-2[/tex]

Divide both sides by -2:

[tex]\cfrac{-2x}{-2}=\cfrac{-2}{-2}[/tex]

[tex]x=1[/tex]

_____________________________

Answer:

11,895 is what she would save in a year

Step-by-step explanation:

4x = 70 - x

4x + x = 70

5x = 70

x = 14

m∠DEA = m∠BEC = 4x

m∠DEA = m∠BEC = 4(14)

m∠DEA = m∠BEC = 56°

m∠AEB = m∠CED = [360 - 2(56)] ÷ 2

m∠AEB = m∠CED = [360 - 112] ÷ 2

m∠AEB = m∠CED = 248 ÷ 2

m∠AEB = m∠CED = 124°

Constant of proportionaility #1 2/30 = 1/15

Constant of proportionaility #2 d/t

1 distance divided by time

Relationship: equality

Reason: they all represent velocity and they tell us that velocity is constant.

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

15 and 1/15 (answer)

Steps:

Given

Time (t) = 30 minutes

distance (d) = 2 miles

To determine the first constant of proportionality

Let time be directly proportional to distance.

t = kd

Where k is the constant of proportionality

Make k the subject

k = t/d

Substitute values for t and d

k = 30/2

k = 15

To determine the second,

Let distance be directly proportional to time.

d = kt

Make k the subject

k = d/t

Substitute values for d and t

k = 2/30

k = 1/15

Hence, the constant of proportionality are

15 and 1/15

Answer:

300 cm

Step-by-step explanation:

Multiply 6cm by 50

Answer:

x=25

Step-by-step explanation:

they are supplementary and adjacent, thus you do 4x-3+3x+8=180, simplify and get 7x+5=180, subtract 5 from 180 which is 175, then ending up with 7x=175 and 175/7 is 25.

Answer:

Step-by-step explanation:

Answer:

3.559510567%

Step-by-step explanation:

32 / 899 = 0.03559510567

0.03559510567 = 3.559510567%

Answer:

See below

Step-by-step explanation:

9 x 1/8 = 1.125

10 x 1/8 = 1.25

9 1/2 x 1/8 = 1.1875

12 x 1/8 = 1.5

8 1/2 x 1/8 = 0.5

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Answer:

9 x 1/8 = 9/8

10 x 1/8 = 10/8 ≈ 5/4

9 1/2 x 1/8 = 19/16

12 x 1/8 = 12/8 ≈ 3/2

8 1/2 x 1/8 = 17/16

you can either turn them to decimals by dividing through or you leave them in Improper fractions or mixed fractions

Answer:

22.61°

Step-by-step explanation:

Answer:

2/5 or .4 as a decimal

Step-by-step explanation:

we can't do anything in the Parentheses so we distribute the -2.5 giving us the equation

-10x+10=6

we subtract both sides by 10

so now our equation is

-10x=-4

we divide both sides by -10

this leaves us with -4/-10 which is simplified to 2/5 or .4 as a decimal

let the interior angles of the given triangle be angle a b c respectively.

116+a=180 (Sum of angles on a straight line.)

a=180-116

a=64

.......

112+b=180(Sum of angles on a straight line.)

Sum of angles on a straight line.)b=180-112

b=68

....

angle a +b+c=180 (Sum of angles of a triangle)

64+68+c=180

c=180-132

c=48

.,....

angle c +X =180(Sum of angles on a straight line.)

48+X=180

X=132

Therefore the value of X is 132.

2.

solution,

Let the remaining interior angle of the given triangle be y.

Then,

y+108=180(Sum of angles on a straight line.)

y=72

Again,

2x+X+y=180(Sum of angles of a triangle)

3x+72=180

3x=108

X=108÷3

X=36

Therefore the value of X is 36.

3.

solution,

let the remaining interior angle of the given polygon be a and b .

Then,

100+b=180(Sum of angles on a straight line.)

b=80

......

Again,

a+b+110+90=360(Sum of interior angle of the polygon)

a+80+200=360

a+280=360

a=80

.....

a+X=180(Sum of angles on a straight line.)

80+X=180

X=100

Therefore the value of X is 100.

4.

solution,

The given triangle is an isosceles triangle.So their base angles are equal .

43+43+X=180(Sum of angles of a triangle)

X=180-86

X=94

Therefore the value of X is 94.

5.

solution,

Opposite angles of a parallelogram is equal

So ,

X=125

Therefore the value of X is 125.

6.

solution,

Let the remaining interior angle of the triangle be a .

Then,

a+117=180 (Sum of angles on a straight line.)

a=63

Now,

a+X+83=180(Sum of angles of a triangle)

63+83+X=180

146+X=180

X=34

Therefore ,the value of X is 34.

Hello there!

-6 is the answer.

If we multiply a negative number times a positive number, we will get a positive number.

Hope this helps!

[tex]GraceRosalia[/tex] is here to help

for vertical angles they're equal to each other.

thus,

(7x + 30)° = (11x - 24) °

54 = 4x

x = 13.5°

and

(17y - 4) ° = (5y + 38) °

12y = 42

y = 3.5°

Answer:

A) Not congurt

B) ASA

C)

D)

Step-by-step explanation:

Thats all i know

Answer:

Step-by-step explanation:

a)  ASA congruent    -> Two angles and included side are congruent

b) SSS congruent       -- > three sides are congruent

c) Not congruent.

d) HL        --> In a right angle triangle, base and hypotenuse are congruent.

23)

    1)Q is the midpoint of PT & RS              Given

   2) PQ ≅ TQ                                             Definition of midpoint

   3) ∠PQR ≅ ∠TQS                                    Vertical angles are congruent

   4) RQ ≅ SQ                                              Definition of midpoint

   5) ΔPQR ≅ ΔTQS                                     SAS congruent

Answer:

11.2 mi

Step-by-step explanation:

1. We can use the Pythagorean Theorem (a^2 + b^2 = c^2) to find the missing leg, b, of the triangle.

2. (Solving)

Step 1: Simplify both sides of the equation.

Step 2: Subtract 81 from both sides.

Step 3: Take the square root of both sides and round to the nearest tenth.

Therefore, x = 11.2 mi.

___________

[tex] \: [/tex]

[tex]\boxed{ \rm{answer \: by \: { \boxed{ \rm{☆HayabusaBrainly}}}}}[/tex]

x² = (14,4)² - (9)²

x² = 207,36 - 81

x² = 126,36

x = 11,2mi✔

Answer:

243x32=7776

546x12=6552

312x73=22776

Step-by-step explanation:

Answer:

243x32=7776

546x12=6552

312x73=22776

Step-by-step explanation:

I really hope this helped you out!

Answer:

[tex]\frac{11\pi }{3}[/tex] ≈

11.519173063

Step-by-step explanation:

3[tex]\pi[/tex] + [tex]\frac{2\pi }{3}[/tex]

To add or subtract expressions, expand them to make their denominators the same. Multiply 3[tex]\pi[/tex] times [tex]\frac{3}{3}[/tex].

[tex]\frac{3 x 3\pi }{3}[/tex] + [tex]\frac{2\pi }{3}[/tex]

Since [tex]\frac{3x3\pi }{y3}[/tex] and [tex]\frac{2\pi }{3}[/tex] have the same denominator, add them by adding their numerators.

[tex]\frac{3 x 3\pi + 2\pi }{3}[/tex]

Do the multiplications in 3×3π +2π.

[tex]\frac{9\pi + 2\pi }{3}[/tex]

Combine like terms in 9π+2π.

[tex]\frac{11\pi }{3}[/tex]

Answer:

x ≈ 30.1°

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos x = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{HJ}{GJ}[/tex] = [tex]\frac{45}{52}[/tex] , then

x = [tex]cos^{-1}[/tex] ( [tex]\frac{45}{52}[/tex] ) ≈ 30.1° ( to the nearest tenth )

Answer:

We are going to use Cosine [tex]\frac{adjacent}{Hypotenuse}[/tex]

[tex]\frac{45}{52}[/tex]

Now, we use the inverse of cosine

[tex]cos^{-1} (45/52) = 30.1[/tex]  (rounded to the nearest tenth of a degree)

your answer is x = 30.1 degrees.

Step-by-step explanation:

Answer:

C - The relationship represents a function because each input gives one unique output.

Step-by-step explanation:

To see if it is a function we can do the line test where we have a vertical line and "drag" it along the line. As long as it only hits the line once in every situation it is a function! We can see this passes and therefore the answer is c.

(why is it not d? you can have a non-linear line, but still have a function)

Answer:

-2, 1, and 3 only

Step-by-step explanation:

Because if You look at the graph..

Answer:

Is this for math?

Step-by-step explanation: