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zhannawk [14.2K]
3 years ago
10

Find the measure of the exterior angle 1. with one angle is 50 degrees and 28 degrees​

Mathematics
1 answer:
OLga [1]3 years ago
3 0

Answer:

D. 78°

Step-by-step explanation:

50°+28°= 78°

_______

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Find a quadratic equation with roots -1, 4i and -1 - 4i
vazorg [7]
\bf \textit{difference of squares}
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(a-b)(a+b) = a^2-b^2\qquad \qquad 
a^2-b^2 = (a-b)(a+b)
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\textit{also recall that }i^2=-1\\\\
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\begin{cases}
x=-1+4i\implies &x+1-4i=0\\
x=-1-4i\implies &x+1+4i=0
\end{cases}
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(x+1-4i)(x+1+4i)=\stackrel{y}{0}
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[(x+1)~~-~~(4i)][(x+1)~~+~~(4i)]=y
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[(x+1)^2~~-~~(4i)^2]=0\implies (x^2+2x+1)~-~(4^2i^2)=y
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(x^2+2x+1)~-~(16\cdot -1)=y\implies (x^2+2x+1)~-~(-16)=y
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3 0
3 years ago
Write the interval (5,100] as an inequality and using set notation
drek231 [11]

Answer: { x | 5 < x ≤ 100 }  OR  { x ∈ ℝ | 5 < x ≤ 100 }

Step-by-step explanation:

{ x | 5 < x ≤ 100 }

This means:

"The set of all x's, such that x is greater than 5 and less than or equal to 100"

Another acceptable way to write this is

{ x ∈ ℝ | 5 < x ≤ 100 }

"x ∈ ℝ" simply means x is an element of all real numbers

7 0
3 years ago
1. Which of the following number sentences is true?
Anastasy [175]

1.

D

2.

D

3.

A and D

4.

Didn't Understand

retype in comment and send

7 0
2 years ago
Read 2 more answers
The phone company A Fee and Fee has a monthly cellular plan where a customer pays a flat monthly fee and then a certain amount o
11111nata11111 [884]

Answer:

y = 0.2x + 37

Step-by-step explanation:

A) Find an equation in the form y = mx + b, where x is the number of monthly minutes used and y is the total monthly of the Ringular plan.

(x, y) = (minutes, cost)

(110, 59)

(600, 157)

slope = m = dy/dx

dy/dx = change in y/change in x

m = dy/dx

m = (157 - 59)/(600-110)

m = 98/490

m = 0.2

a) the linear equation:

y - 59 = 0.2(x - 110)

y - 59 = 0.2x - 22

y = 0.2x - 22 + 59

y = 0.2x + 37

6 0
3 years ago
What dose this sign mean in math ( )
polet [3.4K]

Answer:

< Less Than and > Greater Than

This symbol < means less than, for example 2 < 4 means that 2 is less than 4. This symbol > means greater than, for example 4 > 2. ≤ ≥ These symbols mean 'less than or equal to' and 'greater than or equal to' and are commonly used in algebra. In computer applications <= and >= are used.

Step-by-step explanation:

6 0
3 years ago
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