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:
Given that:
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Step-by-step explanation:
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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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Answers
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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
N = [tex]\frac{3}{4}[/tex] * v
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Answers
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Answer:
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Function 2: Linear
Function 3: Not linear
Function 4: Linear
Step-by-step explanation:
I used desmos then I input the given coordinates.
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Function 3 not linear
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Answers
Answer:
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Step-by-step explanation:
Write the answer in standard form. The line has a slope of -67 and contains the point (-5, -8). g
Answers
Given that,
Slope of the line, m = -6/7
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To find,
The equation of line.
Solution,
Use the formula as follows :
y = mx+b
Put x = -5 and y = -8
[tex]-8=\dfrac{-6}{7}(-5)+b\\\\b=-8-\dfrac{6}{7}\times 5\\\\b=-12.28\\\\=-\dfrac{86}{7}[/tex]
So, the equation of line is :
[tex]y=\dfrac{-6}{7}x-\dfrac{86}{7}[/tex]
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A
3(x−4)
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Answer:
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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
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
Answers
Answer:
June 26th
Step-by-step explanation:
Write the following ratios in their simplest form.
27:30
Answers
Answer:
9/10
Step-by-step explanation:
Answer:
9:10
Step-by-step explanation:
27:30 = 9:10
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Jacob walks 1.250 meters to school every day. How many kilometers does Jacob walk in one week?
HELP ASAP
Answers
Answer:
ways and answer are in paper
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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:
Approximately how many times greater is 374,000 than 22,000?
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.
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.
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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Therefore, the number 374000 is greater then 22000 by exactly 25200 amount.
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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
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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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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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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
Answer:
2,661.6177
Step-by-step explanation:
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Answers
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5/2
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WILL GIVE BRAIANLEST PLZZZZ HELP MEEE 50 POINTS
Elevator 1 in an office building moved from ground position to a final position of +12 feet. Elevator 2 in the same building moved from ground to a final position of −15 feet. Which statement best describes the final positions of these two elevators? (5 points)
Question 4 options:
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)
Elevator 1 is 12 feet above ground level, and Elevator 2 is 15 feet below ground level.
4)
Elevator 1 is 12 feet below ground level, and Elevator 2 is 15 feet above ground level.
Answers
Answer: The answer would be option 3
Step-by-step explanation:
Three apples (x) plus two
oranges (y) costs $16.
Five apples plus two
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muon do each apples and
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