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mariarad [96]
3 years ago
10

Help me solve this and please explain to me. :(:

Mathematics
2 answers:
aalyn [17]3 years ago
8 0

Answer:

E = 50

D  = 150

Step-by-step explanation:

We know that the exterior angle is equal to the sum of the opposite interior angles

D + E = 200

D = 3E

Substituting that into the equation

3E + E = 200

Combing terms

4E = 200

Divide by 4

4E /4 = 200/4

E = 50

D = 3E

D = 3*50 = 150

lana66690 [7]3 years ago
3 0
Answer: e = 50 d = 150 explanation: well i may or may not have seen the other person answer this...uhm yeah sorry-
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Find the solution set for 8x - 3 = 2(x - 1/2)​
KiRa [710]

Answer:

x = 1/3

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

Step-by-step explanation:

<u>Step 1: Define Equation</u>

8x - 3 = 2(x - 1/2)

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Distributive 2:                              8x - 3 = 2x - 1
  2. Subtract 2x on both sides:         6x - 3 = -1
  3. Add 3 to both sides:                   6x = 2
  4. Divide 6 on both sides:              x = 1/3
4 0
2 years ago
Graph the linear equation and answer each of the following questions. y=-2x-3
ollegr [7]

Answer:

Part 1) The y-intercept is the point (0,-3)

Part 2) The slope in fraction form is m=-\frac{2}{1}

Part 3) The graph in the attached figure

Step-by-step explanation:

we have

y=-2x-3

Part 1) What is the y-intercept?

Remember that

The y-intercept is the value of y when the value of x is equal to zero

so

For x=0

substitute in the linear equation and solve for y

y=-2(0)-3\\y=-3

The y-intercept is the point (0,-3)

Part 2) What is the slope (in fraction form)?

we have

y=-2x-3

This is the equation of the line in slope intercept form

y=mx+b

where

m is the slope or unit rate

b is the y-intercept

so

m=-2

In fraction form is

m=-\frac{2}{1}

The slope is negative, that means, is a decreasing function (as the x-values increases the y-values decreases)

Part 3) Graph the line

To graph the line we need two points

From the y-intercept (0,-3) use the slope to find your next point

The slope is -2, so you will rise -2 (2 units down) and run 1 (1 unit to the right).

The next point is (0+1,-3-2) -----> (1,-5)

so

Plot the points (0,-3) and (1,-5), connect them and graph the line

The graph in the attached figure

4 0
3 years ago
If a =3 and b= -1, what is the value of ab-b to the second power?
Scilla [17]

Answer:    -16

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5 0
3 years ago
I^2+1=<br><br> Answer choices:<br> 1-i <br> 1+i <br> 0<br> 2
Sholpan [36]

Answer:

0

Step-by-step explanation:

i^2+1

We know that i^2 = -1

-1 +1

0

3 0
3 years ago
If p q r is prime numbers such that pq+r=73, what is the least possible value of p+q+r
Jobisdone [24]
The answer to this question would be: p+q+r = 2 + 17 + 39= 58

In this question, p q r is a prime number. Most of the prime number is an odd number. If p q r all odd number, it wouldn't be possible to get 73 since
odd x odd + odd= odd + odd = even
Since 73 is an odd number, it is clear that one of the p q r needs to be an even number. 

There is only one odd prime number which is 2. If you put 2 in the r the result would be:
pq+2= 73
pq= 71
There will be no solution for pq since 71 is prime number. That mean 2 must be either p or q. Let say that 2 is p, then the equation would be: 2q + r= 73

The least possible value of p+q+r would be achieved by founding the highest q since its coefficient is 2 times r. Maximum q would be 73/2= 36.5 so you can try backward from that. Since q= 31, q=29, q=23 and q=19 wouldn't result in a prime number r, the least result would be q=17
r= 73-2q
r= 73- 2(17)
r= 73-34=39

p+q+r = 2 + 17 + 39= 58
6 0
3 years ago
Read 2 more answers
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