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Step-by-step explanation:

The interior angles of a triangle add up to 180 degrees.

a.

90 + 2x + (3x - 20) = 180

90 + 2x + 3x - 20 = 180

70 + 5x = 180

5x = 110

x = 22

b.

2(22) = 44

c.

The interior angles of a triangle add up to 180 degrees.

please give me a brainliest answer

[tex] \Large{\boxed{\sf (10 + 6i)(-2 - 4i) = 4 - 52i}} [/tex]

[tex] \\ [/tex]

To find the algebraic form, also called 'a + bi form', of the given complex number, we will have to expand its expression using FOIL method.

[tex] \\ [/tex]

[tex] \Large{ \sf \: \underline{FOIL \: method \text{:}}} \\ \\ \Large{\boxed{\sf (A + B)(C + D) = AC + AD + BC + BD}} [/tex]

[tex] \\ [/tex]

Let's identify our coefficients and expand the given expression:

[tex] \sf (\underbrace{\sf 10}_{A} + \overbrace{\sf 6i}^{B})(\underbrace{\sf -2}_{C} \overbrace{\sf -4i}^{D}) = 10 \times (-2) + 10 \times (-4i) + 6i \times (-2) + 6i \times (-4i) \\ \\ \\ \sf = -20 - 40i - 12i - 24i^2 = -20 - 52i - 24i^2 [/tex]

[tex] \\ [/tex]

In the complex number system, i² = -1. Therefore, our final answer is:

[tex] \sf (10 + 6i)(- 2 - 4i) = -20 - 52i - 24(-1)= \boxed{\boxed{\sf 4 - 52i}} [/tex]

[tex] \\ \\ [/tex]

▪️Learn more about the algebraic form of a complex number here:

↣https://brainly.com/question/25633236

A graph can increase or decrease at an interval or several intervals

Part A: How to determine the longest interval

The longest interval will have a great change in the y-values, and a small change in the x-values.

An instance of such interval is interval ab

Part B: Intervals with the greatest rate

Intervals ab and de have equal rates, and they cover the same vertical and horizontal distances, as described in (a) above.

Hence, intervals ab and de have the greatest rate of change

Part C: Intervals with the least rate

Intervals bc and cd have equal rates, and they cover the same vertical and horizontal distances,

Hence, intervals ab and de have the least rate of change

Part D: Intervals with the equal rate

As said in (b) and (c),

Read more about intervals and rates at:

https://brainly.com/question/23483858

Answer:

i hope its help you

Answer:

1 hour

Step-by-step explanation:

am i right

Answer:.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The new dimensions will be:

The area is 540

Using area equation we get:

The new dimensions are:

Answer:

A

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

A translation of 6 units up means adding 6 to the y- coordinate

A translation of 3 units left means subtracting 3 from the x- coordinate

The translation rule is (x, y ) → (x - 3, y + 6 ) , then

A (- 1, 2 ) → A' (- 1 - 3, 2 + 6 ) → A' (- 4, 8 )

B (1, 5 ) → B' (1 - 3, 5 + 6 ) → B' (- 2, 11 )

Answer:

Answers - d and e

Step-by-step explanation:

A surd is basically an irrational number, or a number that is not a whole number. (Surd examples - 1.2938, 5.3108)

The square root of 15 is between 3 and 4 (not a whole number) and the square root of 30 is between 5 and 6 (not a whole number)

hope this helps

Answer:

Claiming points again since all these answers are right, thank you yet again.

Step-by-step explanation:

⏁⊑⏃⋏☍ ⊬⍜⎍ ⎎⍜⍀ ⏁⊑⟒ ⌿⍜⟟⋏⏁⌇ ⎅⟒⏃⍀ ⎎⍀⟟⟒⋏⎅, ⟟ ⏃⋔ ⎎⍜⍀⟒⎐⟒⍀ ⟟⋏ ⊬⍜⎍⍀ ⎅⟒⏚⏁.

Answer:

angle relationship: same-side interior

value of x: 40

Step-by-step explanation:

the horizontal lines are parallel and the vertical line is the transversal, so 3x+x+20=180. combine the x's and subtract 20 from both sides to get 4x=160. then divide both sides by 4 to get x=40.

Answer:

-i

Step-by-step explanation:

[tex]i^{2}[/tex]=-1,[tex]i^{3}[/tex]=[tex]i^{2}[/tex]*i=-i

Answer:

Let the number be x

2x-5=1/2(3x-3)

2(2x-5)=3x-3

4x-10=3x-3

4x-3x=-3+10

x=7

I don't know what I'm am doing....

This problem already gave us the slope and y-intercept, so all that's left to do is plug those two values into slope-intercept form.

Slope-Intercept Form: y = mx + b

---m is the slope

---b is the y-intercept

y = 8/3x + 5

Hope this helps!! :)

y = 8/3x + 5

hope this helps !! :)

Answer:

0=(-x+1)(x+6)

Step-by-step explanation:

Answer: roughly 40 percent

brainliest !!!

Answer:

I'm pretty sure it's C I may be wrong though

Step-by-step explanation:

Answer:

Explanations (4) Similarity is a quality of scaling: two shapes are similar if you can scale one to be like the other, like these triangles ABC and DEF. Since all circles are of the same shape (they only vary by size), any circle can be scaled to form any other circle. Thus, all circles are similar!

Step-by-step explanation:

Welcome

Answer\

C

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

________

[tex] \: [/tex]

5x - 10 = 20

5x = 20 + 10

5x = 30

x = 30 ÷ 5

x = 6✔

Answer:

C- 10+x=14

Step-by-step explanation:

Answer:

126°

Step-by-step explanation:

1. We know that 54 degrees and its adjacent are a linear pair, meaning that they add up to 180 degrees. To find the measure of the adjacent angle, we subtract 54 from 180.

2. Now, we know that adjacent of 54 is 126. Also, we know that [tex]l[/tex] ║ [tex]m[/tex] ║ n, and x and 126 degrees are corresponding angles. Corresponding angles are congruent within angle measures, so x = 126 degrees.

Answer:

Equilateral triangle

Step-by-step explanation:

All the angles are equal. So, it is and equilateral triangle and each angle is 60

Answer:

r+51 peppers

Step-by-step explanation:

Answer:

letter A

Step-by-step explanation:

because that's my favorite letter

Answer:

x = -4

Explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

x = -4

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

Step 2: Subtract 5 from both sides.

Step 3: Divide both sides by -7.

Step 4: Check if solution is correct.

Therefore, x = -4.

Answer:

6

Step-by-step explanation:

We can use the points on the line to find the slope

(0,-1) and (1,5)

Using the slope formula

m = ( y2-y1)/(x2-x1)

   = (5 - -1)/(1-0)

   = (5+1)/(1-0)

    = 6/1

   = 6

Answer:

m = 6 units

Step-by-step explanation:

To get from point (0, -1) to point (1, 5) that are on the line we have to go up 6 units and 1 unit to the right

slope = rise /run = 6/ 1 = 6

Answer:

52

Step-by-step explanation:

62-10

x/17.1 = 1.7/1.8

x = 17.1*1.7 /1.8

Height of tree = 16.15 m