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]
Related Questions
What is the y-intercept when a line has a slope of 1/2 and
passes
through the point (2, -1)?
Answers
Answer:
-2
Step-by-step explanation:
y=ax+b
Put the numbers into that equation.
-1=1/2*2+b
Simplify:
-1=1+b
-1-1=b
-2=b
Hope this helped! :)
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:
Which Shape is NOT quadrilateral
Answers
Answer:
the pentagon (3rd one)
Step-by-step explanation:
definition of a quadrilateral literally means a shape with 4 sides
HELP^^^ ITS 7TH GRADE MATH
Answers
Answer:
13
Step-by-step explanation:
count outside lines
Answer:
Perimeter: 13
If my recipe calls for 3/4 cups of water per 1 egg how many eggs do I need if I use 6 cups of water?
Answers
Answer:
6
Step-by-step explanation:
Don't understand please help
Answers
Which description best describes the graph
Answers
We need the graphs please
20) Solve the problem. Suppose that 12 unique names are put into a hat and drawn at random without
replacement. How many different ways can you draw all of the names from the hat? Remember that
"without replacement" means that the names are not returned to the hat after they are chosen. Write your
answer in factorial notation.
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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6 vacas por cada 5 gallinas
Answers
answer is 150
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
4 5/6 x 2/5 what is this answer
Answers
Answer:
[tex]1\frac{14}{15}[/tex] or exact form [tex]\frac{29}{15}[/tex]
Step-by-step explanation:
Um bc im trap bunny bubbles
Three apples (x) plus two
oranges (y) costs $16.
Five apples plus two
oranges costs $24. Hov
muon do each apples and
oranges cost?
Answers
How do you put extra effort into your papers to make them "high quality?" What new strategies have you learned in this lesson that you can apply to your next paper?
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.
374000 - 22000 = 352000
Therefore, the number 374000 is greater then 22000 by exactly 25200 amount.
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heeeeeeeeeeeeellllllllllllpppppppppppppp please and thank you hehe :]
Answers
Answer:
Mean is 8 MAD is 4.29
Step-by-step explanation:
How many millimeters are in 90 ounces? 1 millimeter is 0.3 ounces
Answers
Answer:
300
Step-by-step explanation:
Answer:
2,661.6177
Step-by-step explanation:
What is the value of the expression when m=x+1?
A
3(x−4)
B
3(x−6)
C
3(x−5)+1
D
3(x+5)+1
Answers
Answer:
Its E im pretty sure 69
Step-by-step explanation:
nice
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
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
[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]
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:
Help please! This is timed! I’ll give brainliest also!
Answers
Answer:
Function 1: Not linear
Function 2: Linear
Function 3: Not linear
Function 4: Linear
Step-by-step explanation:
I used desmos then I input the given coordinates.
Function 2 linear
Function 3 not linear
Function 4 linear
The 6th grade took a field trip to the movies. The
table shows the price of popcorn based on the
quantity purchased. How much would it cost for
20 bags of popcorn?
Answers
Answer: 60
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
BRAINLIEST PLEASE
x/5 = 8/9 what is x
Answers
Answer:
4.444444
Step-by-step explanation:
What is the slope of this graph ?
Answers
Answer:
5/2
Step-by-step explanation:
rise/run. the graph rises 5 and over 2 to the next point
*I used the slope formula too just to make sure*
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
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
Find 4/5% of $75,000.
Answers
Answer:
60,000
Step-by-step explanation:
Answer:
3375
Step-by-step explanation:
Could someone help me on this math question !
Answers
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
^^^^^^^
An airplane on autopilot took 9 hours to travel 6399 kilometers. What is the unit rate for kilometers per hour?
Answers
Answer:
6399/9=711 The answer to this question is 711.