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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Step-by-step explanation:
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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
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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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x/5 = 8/9 what is x
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Step-by-step explanation:
What is the y-intercept when a line has a slope of 1/2 and
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Answers
Answer:
-2
Step-by-step explanation:
y=ax+b
Put the numbers into that equation.
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Answers
Given that,
Slope of the line, m = -6/7
It contains the point (-5,-8)
To find,
The equation of line.
Solution,
Use the formula as follows :
y = mx+b
Put x = -5 and y = -8
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Answers
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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
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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!
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B
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Step-by-step explanation:
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The 6th grade took a field trip to the movies. The
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Step-by-step explanation:
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Answers
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Step-by-step explanation:
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Answer:
This is what I put:
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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:
Find 4/5% of $75,000.
Answers
Answer:
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Step-by-step explanation:
Answer:
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1)
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.
3)
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Step-by-step explanation:
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Answers
Answer:
N = [tex]\frac{3}{4}[/tex] * v
Step-by-step explanation:
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13
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Answers
Answer:
352,000
Step-by-step explanation:
Subtract 374,000 by 22,000 and you will get 352,000 as your answer
The number 374000 is greater then 22000 by exactly 25200 amount.
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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.
It should be noted that, To cross verify the answer we can add 35200 with 22000 it must be equal to 374000.
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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:
1067
Step-by-step explanation:
Given that:
Error (E) = 0.03
Confidence interval = 95% = 0.95
Sample size (n) = ((Zα/2) / Error)^2 * p(1 - p)
Since no assumption is given ; p = 0.5
α = 0.95
Z(1-α/2) = 1.96
(1.96 / 0.03)^2 * 0.5(1 - 0.5)
(65.333333)^2 * 0.5(0.5)
4268.4444 * 0.25
= 1067.1111
n = 1067