Solve for x and find the measure of the indicated angle.
D
100°
(13x + 2)
70°
(18x + 2)%
B
=
mZC =

transverse s at angle 135°

180° - 135° = 45°

Angle 2 is congruent to 45° because they're alternate exterior angles.

transverse t at angle 120°

180° - 120° = 60°

Angle 3 is congruent to 60° because they're alternate exterior angles.

One rule for exterior angles in triangles is that the exterior angle is equal to the sum of the two angles adjacent to the opposite angle of the exterior angle.

135° = angle 1 + 60°

angle 1 = 75°

120° = angle 1 + 45°

angle 1 = 75°

Therefore angle 1 is 75°,angle 2 is 45° and angle 3 is 60°

Answer:

m∠1 = 75° m∠2 =45° m∠3 = 60°

Step-by-step explanation:

m∠1 = 180 - { (180 - 135) + (180 - 120) }

m∠1 = 180 - { 45 + 60 }

m∠1 = 75°

The angle between 1 and 3, lets call it x,  is vertically opposite to ∠2, so we must find it first to be able to get ∠2

Since a ║b

Therefore ∠x and ∠135 are co-interior angles

Therefore ∠x = 180-135

m∠x = 45°

∠2 = ∠x (Vertically opposite angles)

∠2 = 45°

Between ∠2 and ∠3 there is an angle, let's call it z.

∠z = ∠1 (Vertically opposite angles)

∠z = 75°

Since the sum of  ∠2, ∠z and ∠3 = 180° (Straight angle)

Therefore m∠3 = 180 - (∠2 + ∠z)

m∠3 = 180 - (45 + 75)

m∠3 = 60°

Or in a different way

∠2 + ∠z + ∠3 = 180

45 + 75 + ∠3 = 180

120 + ∠3 = 180

∠3 = 180 - 120

∠3 = 60°

Hope it helps

(8 + m)4 + 3

This is ur answer have a good day

Answer: spiral

Step-by-step explanation:

The shape that our galaxy have is : Spiral, because "Spiral-Structure" provides the Milky-Way its name. option (b) is correct.

Our galaxy, the Milky-Way, is classified as a spiral galaxy. Spiral-Galaxies are characterized by their distinct spiral arms that radiate from a central bulge. These arms contain stars, gas, dust, and other celestial objects.

The Milky-Way's spiral arms are home to a significant portion of its stars and are formed due to the gravitational interactions between different parts of the galaxy. This spiral structure gives the Milky-Way its name and appearance when observed from certain angles.

Spiral galaxies are one of the most common types of galaxies in the universe, and they play a crucial role in our understanding of cosmic structures.

Therefore, the correct option is (b).

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The given question is incomplete, the complete question is

Which shape does our galaxy have?

(a) circular

(b) spiral

(c) irregular

(d) elliptical.

Answer:

Step-by-step explanation:

1.Consider the quadratic relation y = x^2 – 6x – 16.

a) Factor this equation using the Trinomial Method (find two numbers that multiply to 'c' and add to 'b'; the factored form has 2 pairs of brackets).

[y = x^2 – 6x – 16 : Two numbers when multiplied = -16, but when added = -6, would be: -8 and 2. [-8+2 = -6, and -8*2 = -16] This would lead to (x+2)(x-8) as the two factors.

b) Find the x-intercepts (zeroes) of the relation. Remember to let y = 0 then solve for each x separately.

(x+2)=0; x= -2

(x-8)=0; x = 8

2. Consider the quadratic relation y = 2x^2 + 6x – 80.

a) Factor this equation by:

1. Determining the greatest common factor (GCF).

The GCF is 2: 2*(x^2 + 3x - 40)

2. Factoring the equation using common factoring.

2*(x^2 + 3x - 40): Two numbers that when multiplied = -40, but added = 3, would be 8 and -5. So we can factor:

2*(x + 8)(x - 5)

3. Factor the expression inside the brackets using the Trinomial Method (find two numbers that multiply to 'c' and add to 'b'; the factored form has 2 pairs of brackets).

2*(x + 8)(x - 5)

b) Find the x-intercepts (zeroes) of the relation. Remember to let y = 0 then solve for each x separately.

0 = (x + 8) and 0=(x - 5); x = -8, and x=5

Answer:

What subject is this

Step-by-step explanation:

Answer:

f(m) = -9

Step-by-step explanation:

We replace m with 5 in the function.

f(m) = 1 - 4(m/2) becomes f(5) = 1 - 4(5/2)

then we solve the numbers in the parenthesis first

= 1 - 4 (5/2)

= 1 - 4 (2.5)

= 1 - 10

= -9

Answer:

even

Step-by-step explanation:

because a is not and odd number its even

The requried two words that describe A² are "Odd" and "Positive".

Odd numbers are integers that cannot be divided evenly by 2, which means they have a remainder of 1 when divided by 2. They can be represented as 2n + 1, where n is an integer. Examples of odd numbers include 1, 3, 5, 7, 9, and so on. The opposite of odd numbers are even numbers, which can be divided evenly by 2.

The square of any negative or positive number is always positive. Thus, the first two options "Negative" and "Positive" do not apply to A². As for "Even", it describes a number that is divisible by 2, while "Odd" describes a number that is not divisible by 2. Since A is an odd number, A² will also be odd, as it is the product of an odd number multiplied by itself.

Therefore, the two words that describe A² are "Odd" and "Positive".

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Answer:

Step-by-step explanation:

Staring point = 2 o'clock

The travel is 1/4 of 12 hour full revolution:

Point to stop is the start point plus the travel:

refer to the attachment

Answer:

Step-by-step explanation:

2.  Should be 500

8.  Should be 290

The rest are correct

Answer:

1. 100 good job

2. 500 round to the nearest hundred either 400 or 500. 500 is closer.

3. 9,000 good job

4. 7,800 good job

5. 250 good job

6. 4,000 good job

7. 6,800 good job

8. 290 round to the nearest 10 either 290 or 300 290 is closer

9. 400 good job

10. 8,000 good job

Step-by-step explanation:

Rounding to the nearest number is up at 5 and below for 4 and less. The same concept applies to larger numbers.

Answer: [tex]\frac{17}{4}[/tex]

Step-by-step explanation:

Simply convert 3/1 into 12/4, then add it to 5/4, to get 17/4.

Hope it helps :) and let me know if you want me to elaborate.

Answer:

answer for 10th question is 121

Step-by-step explanation:

2(a+b)+a+b/2+(a+b)^2-4

=2(10)+10/2+(10)^2-4

=20+5+100-4

=125-4

=121

Answer:

10.  121      11.  Hamburger = $1.43

Step-by-step explanation:

2(a + b) + (a + b)/2 + (a + b)² - 4

2(10) + (10)/2 + (10)² - 4

20 + 5 + 100 - 4

25 + 100 - 4

125 - 4 = 121

11.   Let H = Hamburger and Soft Drink = D

          H + D = $2.23

      2 H + 3D = $5.26

H + D = $2.23        Solve for D

D = $2.23 - H        

2H + 3D = $5.26     Now substitute the value of H into the second equation.

2H + 3($ 2.23 - H) = $5.26

2H + $6.69 - 3H = $5.26

 -H + $6.69 = $5.26

 -H = - $1.43

  H = $1.43

Work Shown:

45.40 - 40 = 5.40

She made $5.40 in profit. Divide this over the original price to find the percentage profit

(5.40)/(40) = 0.135 = 13.5%

Answer:

[tex]P(x)=x^{5} +x^{4} -5x^{3} +3x^{2}[/tex]

Step-by-step explanation:

Each root corresponds to a linear factor, so we can write:

[tex]P(x)=x^{2} (x-1)^{2} (x+3)\\=x^{2} (x^{2} -2x+1(x+3)\\\\=x^{5} +x^{4} -5x^{3} +3x^{2}[/tex]

Any polynomial with these zeros and at least these multiplicities will be a multiple (scalar or polynomial) of this [tex]P(x)[/tex]

Footnote

Strictly speaking, a value of [tex]x[/tex]  that results in [tex]P(x)=0[/tex] is called a root of  

[tex]P(x)=0[/tex] or a zero of [tex]P(x)[/tex] . So the question should really have spoken about the zeros of [tex]P(x)[/tex]  or about the roots of [tex]P(x)=0[/tex]

Answer:

I think that the answer is B.

Step-by-step explanation:

go on demos and put in the problem on the left side. and the dot should be on the number two. and in the picture you have^ . it has the same dot as demos.

Answer: The actual distance is 68 miles.

Step-by-step explanation:

Answer:

-16x, and 3(x−28)

Step-by-step explanation:

-8x^2+3=-16,

Multiply 2 times −8.

which should get you −16x^2−1

Subtract 1 from 2, then you have −16x^1. For any term t, t ^1=t. so then it is -16x.

−9 ^2+3x−3

Calculate 9 to the power of 2 and get 81.

−81+3x−3

Subtract 3 from −81 to get −84.

=−84+3x

and if you need help with algebra  https://mathsolver.microsoft.com/ will help!

Answer:

HCF(12, 48, 60) = 12

Step-by-step explanation:

HCF of 12, 48, 60 is 12 since 12 is largest number which exactly divides all the numbers

Highest common factor (HCF) of 12, 48, 60 is 12.

Hope this helped you- have a good day bro cya)

Answer:

B

Step-by-step explanation:

It’s b

Answer:

Step-by-step explanation:

[tex]\dfrac{x}{2}=\dfrac{y}{3}\\\\[/tex]

Cross multiply,

3x = 2y    ------------(I)

[tex]\dfrac{y}{4}=\dfrac{z}{4}\\\\4*\dfrac{y}{4}=\dfrac{z}{4}*4\\\\y=z[/tex]

y = z --------------(II)

Plugin y =z in (I)

3x = 2z

3x/2 = z  ----------------(III)

x + 2y - z = 10

From (I) and (III)

[tex]x + 3x - \dfrac{3x}{2}=10\\\\4x - \dfrac{3x}{2}=10\\\\Multiply \ the \ entire \ equation \ by \ 2\\\\2*4x - 2*\dfrac{3x}{2}=10*2\\\\8x - 3x = 20\\\\5x = 20[/tex]

Divide both sides by 5

x = 20/5

x = 4

Plugin x = 4 in (I)

3*4=2y

12 = 2y

2y = 12

y = 12/2

y  = 6

z = y

z = 6

Answer:

6.5

Step-by-step explanation:

5.98÷0.92= 6.5m

Answer:

A, C, E

Step-by-step explanation:

Substitute the x- coordinate of the points into the equation and if the result is equal to the y- coordinate of the point then it is a solution.

A (- 2, 5 )

y = 2² + 1 = 4 + 1 = 5 → (- 2, 5 ) is a solution

B (- 1, 0 )

y = (- 1)² + 1 = 1 + 1 = 2 ≠ 0 ← not a solution

C (1, 2 )

y = 1² + 1 = 1 + 1 = 2 → (1, 2 ) is a solution

D (2, 4 )

y = 2² + 1 = 4 + 1 = 5 ≠ 4 ← not a solution

E (3, 10 )

y = 3² + 1 = 9 + 1 = 10 → (3, 10 ) is a solution

Answer:

11th term is 0

Step-by-step explanation:

30, 27 , 24 ,......0

a = first term = 30

Common difference = second term - first term = 27 - 30 = -3

nth term = a+(n-1)*d

a + (n-1)d = 0

30 + (n - 1) *(-3) = 0

30 + n*(-3) -1*(-3) = 0

30 - 3n + 3 = 0

      -3n + 33 = 0

               -3n = -33

                   n = -33/-3

n = 11

Hello!

Answer:

21.6

Steps:

7.20 increase 200% =

7.20 × (1 + 200%) = 7.20 × (1 + 2) = 21.6

Answer:

-2/3x+4

Step-by-step explanation:

the reason is that if we take 2 point from the graph for example;

0,4 and 6,0

1) to get the gradient it is y2-y1/x2-x1

sub 0,4 and 6,0 into the equation from 1

4-0/0-6 which is 4/-6

4/-6 = 2/-3 and +4 because as seen in the graph it's hits the y-axis at +4

so it is 2/-3x + 4

Answer:

-3/7

Step-by-step explanation:

1. The formula to find the slope of a line given two points is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex].

Therefore, the answer is -3/7.

Answer:

a,6. b, 6 c, -4.5. d, -9

Step-by-step explanation:

a, -3*-2

3*2. b/c of -ve * -ve is positive the answer comes 6

b, same as a

c, -3*1.5

- 4.5

d, -3*3

- 9