quiz 4-1 : classifying and solving for sides/angles in triangles gina wilson (all things algebra) URGENT
Answers
Answer:
14.
[tex]x = 11[/tex] [tex]m<B = 108[/tex] [tex]m<C= 36[/tex] [tex]m<D = 36[/tex]
15.
[tex]x = 4[/tex] [tex]WX = 25[/tex] [tex]XY = 17[/tex] [tex]WY = 25[/tex]
Step-by-step explanation:
Solving (14):
[tex]BC = BD[/tex]
[tex]m<B = 13x - 35[/tex]
[tex]m<C = 5x - 19[/tex]
[tex]m<D = 2x + 14[/tex]
First, we solve for x.
Since sides [tex]BC = BD[/tex], then
[tex]m<C = m<D[/tex]
This is so because the theorem of ASA (Angle-Side-Angle)
So, we have:
[tex]5x - 19 = 2x + 14[/tex]
Collect Like Terms
[tex]5x - 2x = 19 + 14[/tex]
[tex]3x = 33[/tex]
Divide both sides by 3
[tex]x = 11[/tex]
Solving for m<B, m<C and m<D.
We simply substitute 11 for x in their respective expressions.
[tex]m<B = 13x - 35[/tex]
[tex]m<B = 13*11 - 35[/tex]
[tex]m<B = 143 - 35[/tex]
[tex]m<B = 108[/tex]
[tex]m<C = 5x - 19[/tex]
[tex]m<C= 5*11 - 19[/tex]
[tex]m<C= 55 - 19[/tex]
[tex]m<C= 36[/tex]
[tex]m<D = 2x + 14[/tex]
[tex]m<D = 2*11 + 14[/tex]
[tex]m<D = 22 + 14[/tex]
[tex]m<D = 36[/tex]
Solving (15):
[tex]<X = <Y[/tex]
[tex]WX = 9x - 11[/tex]
[tex]XY = 4x + 1[/tex]
[tex]WY = 7x - 3[/tex]
First, we solve for x.
Since [tex]<X = <Y[/tex], then
[tex]WX = WY[/tex]
This is so because the theorem of SAS (Side-Angle-Side)
So, we have:
[tex]9x - 11 = 7x - 3[/tex]
Collect Like Terms
[tex]9x - 7x = 11-3[/tex]
[tex]2x = 8[/tex]
Divide both sides by 2
[tex]x = 4[/tex]
Solving for WX, WY and XY
We simply substitute 4 for x in their respective expressions.
[tex]WX = 9x - 11[/tex]
[tex]WX = 9 * 4 - 11[/tex]
[tex]WX = 36 - 11[/tex]
[tex]WX = 25[/tex]
[tex]XY = 4x + 1[/tex]
[tex]XY = 4 * 4 + 1[/tex]
[tex]XY = 16 + 1[/tex]
[tex]XY = 17[/tex]
[tex]WY = 7x - 3[/tex]
[tex]WY = 7 * 4 - 3[/tex]
[tex]WY = 28 - 3[/tex]
[tex]WY = 25[/tex]
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20) Solve the problem. Suppose that 12 unique names are put into a hat and drawn at random without
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"without replacement" means that the names are not returned to the hat after they are chosen. Write your
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SHOW WORK: None to be shown
A) 12!
B) 11!
C) 10!
D) 12! - 1
Answers
the answer would be A) 12 because there are only twelve names
The number of different ways is 12! you can draw all of the names from the hat without replacement option (A) 12! is correct.
What are permutation and combination?
A permutation is the number of different ways a set can be organized; order matters in permutations, but not in combinations.
It is given that:
Number of unique names = 12
That 12 unique names are put into a hat and drawn at random without
replacement.
"Without replacement" means that the names are not returned to the hat after they are chosen.
Number ways (without replacement) = 12x11x10x9x8x7x6x5x4x3x2x1
Number ways (without replacement) = 12!
Thus, the number of different ways is 12! you can draw all of the names from the hat without replacement option (A) 12! is correct.
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nora has 3/4 as many books as victor. let v represent the number of books victor has. create an expression to represent the number of books nora has. create an expression to represent the number of books nora has
Answers
Answer:
N = [tex]\frac{3}{4}[/tex] * v
Step-by-step explanation:
Since the value that we are provided is a fraction that is tied to the number of books that Victor has, we would simply need to multiply this fraction by the total number of books that Victor has. This value is represented by the variable v while the total number of books that Nora has is represented by the variable N. Therefore, the expression would be the following
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Answers
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Step-by-step explanation:
What is the value of the expression when m=x+1?
A
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B
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Answers
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Step-by-step explanation:
nice
g Suppose we want to know what proportion p of students in a large university have studied calculus in high school. At least how many students should we include in a sample if we want to estimate p with an error bound of 0.03 (at most) with 95% confidence
Answers
Answer:
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Step-by-step explanation:
Given that:
Error (E) = 0.03
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Sample size (n) = ((Zα/2) / Error)^2 * p(1 - p)
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= 1067.1111
n = 1067
Math Finals HELPP
Jay has an online biology quiz due every 5 days and an online
math quiz due every 4 days. If both quizzes were due on June
6, when is the next day both quizzes will be due again?
JUNE
Sun
Mon
Tue
Wed
Thu
1
2
Fr Sat
3 4
10 11
17 18
8
9
5
12
7
14
13
15
16
23
19
21
24
20
27
25
22
29
26
28
30
A. June 13
B. June 16
c. June 26
D. June 29
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Answer:
June 26th
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Step-by-step explanation:
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Step-by-step explanation:
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Answers
Answer:
352,000
Step-by-step explanation:
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What is mathematic expression?
A mathematical expression is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Here, to find out by how much times the number 374000 is greater then the number 22000 we simply subtract the number 374000 by 22000 which comes out be 35200.
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Answers
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Step-by-step explanation:
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Elevator 1 is 12 feet above ground level, and Elevator 2 is 15 feet below the position of Elevator 1.
2)
Elevator 1 is 12 feet below ground level, and Elevator 2 is 15 feet above the position of Elevator 1.
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Step-by-step explanation:
Answer:
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Step-by-step explanation:
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Answers
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The equation of line.
Solution,
Use the formula as follows :
y = mx+b
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Answers
Answer:
This is what I put:
"Putting extra effort into your work would include actions like using synonyms, avoiding too many contractions (words like "can't" or "don't" in grammar), and refraining from including your opinion in order to stay professional (unless the topic requires it). The "6 Trait Philosophy/Writing" strategy is what I plan to use in future papers. This strategy contains the 6 "steps" or "tips" for better writing, which are organization, conventions, ideas, fluency, voice, and word choice. And, of course, the standard formatting guidelines."
Step-by-step explanation:
I got 100% on Edge.
Answer:
"Putting extra effort into your work would include actions like using synonyms, avoiding too many contractions (words like "can't" or "don't" in grammar), and refraining from including your opinion in order to stay professional (unlin ess the topic requires it). The "6 Trait Philosophy/Writing" strategy is what I plan to use in future papers. This strategy contains the 6 "steps" or "tips" for better writing, which are organization, conventions, ideas, fluency, voice, and word choice. And, of course, the standard formatting guidelines."
Step-by-step explanation:
Don't understand please help
Answers
PLEASE HELP MEEEEE FASTTT
Answers
Answer:
-63
Step-by-step explanation:
PEMDAS stands for:
P -> Parentheses
E -> Exponents
M -> Multiplication (left to right)
D -> Division (left to right)
A -> Addition (left to right)
S -> Subtraction (left to right)
So in this problem, we can't evaluate the parentheses unless we evaluate the exponent first:
(-25+4^2)*7
(-25+16)*7
Next, we evaluate the parentheses by adding from left to right since there's no multiplication or division in the parentheses:
(-25+16)*7
(-9)*7
Lastly, we do multiplication:
(-9)*7
-63
Thus, our final answer is -63