Answers
Answer:
10. Let m<Y = y.
Then,
m<Y + m<X +m<Z = 180 [ Sum of angles of triangle is 180 degrees]
or, y + (6x-23) + (4x + 9) = 180
or, y + 10x -14 = 180
or, y = 194 - 10x
or, m<Y = 194 - 10x
12. Solution,
a. m<1 = 60 degrees [Each angles of equilateral triangle is equal to 60 degrees]
b. In triangle WYZ,
m<Z + m<ZWY + m<ZYW =180 [Sum of angles of triangle is 180]
or, 138 + m<ZWY +m<ZWY =180 [Base angles of isosceles triangle are equal, i.e. m<ZYW = m <ZWY]
or, 2 (m<ZWY) = 180 -138 = 42
or, m<ZWY = 21 = m<ZYW
or, m<3 = 21 = m<5
c. Solution,
m<XWY = m<2 + m<3 [Addition axiom]
or, 60 = m<2 + 21 [Each angle of equilateral triangle is 60]
or, m<2 = 39
d. Solution,
m<4 + m<5 =60 [<XYW = 60 ]
or, m<4 + 21 = 60
or, m<4 = 39
Related Questions
I need help !!!!!! Please bZ÷12=9
Answers
Answer:
The answer is b=18/z
Step-by-step explanation:
Let's solve for b.
bz/2=9
Step 1: Divide both sides by z/2.
1/2bz/z/2=9/z/2
b=18/z
Answer:
b=18/z
If ∠BAC ≅ ∠DCA, is ABE ≅ CDE? Explain.
A. Yes; the triangles are congruent by AAS.
B. Yes; the triangles are congruent by ASA.
C. Yes; the triangles are congruent by SAS.
D. No; the triangles are not congruent.
Answers
Answer:
The answer is A.
Step-by-step explanation:
It is A because both sides match up except for the last pair, where they are the same. Hope this helped!
An airplane is traveling with an airspeed of 500 mph in the direction N 60° E. A wind blows directly south at 50 mph. What is the plane’s drift angle?
3.84°
5.21°
60.00°
65.21°
Answers
Answer:
5.21
Step-by-step explanation:
Got it right on edg
Answer:
B) 5.21°
Step-by-step explanation:
got it right on edge :)
What value of x makes the equation 0.2(16x – 48) = -0.4(x – 3) true?
Answers
3.2x=-.4x+10.8
3.6x=10.8
X= 3
Justin ran 5.5 miles in 49.5 minutes. On average, how many minutes did it
take him to run one mile?
Answers
= 9 minutes to run one mile
Two fifth graders solved 2000 divided by 40. Carter said the answer is 50, while Kim said the answer is 500. Who has the correct answer? Explain your thinking.
Answers
Answer:
Carter is correct. 2000/40=50.
Step-by-step explanation:
The correct answer for who has the correct answer is Carter.
Given question:
[tex]\dfrac{2000}{40}[/tex]
Carter answer:
[tex]\dfrac{2000}{40} = 50[/tex]
Kim answer:
[tex]\dfrac{2000}{40} = 500[/tex]
The correct division:
[tex]\dfrac{2000}{40} = 50[/tex]
Carter's reasoning is accurate because he correctly divided 2000 by 40 to find the answer. Kim's answer of 500 seems to be a mistake, possibly due to an error in the division process or a misunderstanding of the problem.
Carter has the correct answer.
Learn more about Division here:
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Fill in the blank.
x 3 x 4 = 84
Answers
Answer:
the missing value is 7
Step-by-step explanation:
Determine which situation could be represented by the system of linear equations given below.
2x + 4y = 160
x + y = 50
A. Jane sells beaded bracelets for $2 each and beaded necklaces for $4 each. She sold 50 pieces of jewelry at the craft fair last weekend and made $160.
B. Kevin bought 2 pairs of jeans and 4 shirts at the mall. He spent $50. Another person bought 1 shirt and 1 pair of jeans for $160.
C. Two principals and four teachers donated a total of 160 cans of soup to the school can drive. The two biggest donors gave 50 cans between them.
D. An ice cream shop sells sundaes for $2 each and cones for $4 each. They made $50 over the course of 2 hours and sold a total of 160 items.
Answers
Answer: Jane sells beaded bracelets for $2 each and beaded necklaces for $4 each. She sold 50 pieces of jewelry at the craft fair last weekend and made $160.
Step-by-step explanation: I just answer this and it's correct.
Answer:
option B
Step-by-step explanation:
What is the 100th term in the sequence an= 4n-12
Answers
The hundredth term of the given sequence is 388.
What is a sequence?In mathematics, a sequence is an enumerated collection of objects in which repetitions are allowed and order matters.
Given that, we need to find the 100th term in the sequence an= 4n-12,
Put n = 100,
a₁₀₀ = 4 x 100 - 12
= 400 -12
= 388
Hence the hundredth term of the given sequence is 388.
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Which transformation represents a reflection over the x-axis?
O (X,Y) - (-x, y)
O(x,y) → (X, -y)
O(x, y) (y,x)
(x, y) - (-y, x)
Answers
Are these equations equivalent?
0.8x + 3= 1.8x and 2x =6
Answers
Answer:
Yes
Step-by-step explanation:
0.8x + 3 = 1.8x
3 = 1.8x - 0.8x
x = 3
And:
2x = 6
dividing both sides by 2:
x = 3.
hence the two equations are equivalent since they give the same answer.
Figure LMNO maps to L'M'N'O' by a 125° rotation about point T.
Quadrilateral L M N O is rotated 125 degrees about point T to form quadrilateral L prime M prime N prime O prime.
Which congruency statement is correct?
LMNO ≅ L'M'N'O'
LMNO ≅ O'M'N'L'
ONML ≅ M'O'N'L'
ONML ≅ O'M'N'L'
Answers
Answer:
A= LMNO ≅ L'M'N'O'
Step-by-step explanation:
just did it trust me
A= LMNO ≅ L'M'N'O'. Hope this helps!!
A figure is reflected across the x-axis to create a new figure. Which rule describes this transformation?
O (x,y) → (-x, -Y)
O (x,y) → (y,x)
O (x, y) = (x, y)
O (x, y) =(x, y)
Answers
Answer:
f(x) reflected across the x-axis is -f(x)
Step-by-step explanation:
so aka
O (x,y) → (x, -y)
Mary decides to take out a $4,000 student loan this year. If she will pay 10% interest compounded annually, how much will the total loan amount be in four years when she graduates?
Answers
Answer 4000+1600= 5600
Step-by-step explanation:
The 10% is $400. 400 times 4 is 1600. So to find the total, its 5600. Mark brainliest if this helped you
john has 16 red balls and 12 black balls. what is the ratio ( in simplest form) of red balls to black balls
Answers
The simplest form of the ratio of red to black balls is 4:3.
What is a ratio?The ratio shows how many times one value is contained in another value.
Example:
There are 3 apples and 2 oranges in a basket.
The ratio of apples to oranges is 3:2 or 3/2.
We have,
Number of red balls = 16
Number of black balls = 12
The ratio of red to black balls.
= 16/12
= 4/3
Thus,
The ratio of red to black balls is 4:3.
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A relation is
1)the output(y) vaules of the relation
2) the input (x) vaules of the relation
3)a set of points that pair input vaules with output vaules
4)x and y vaules written in the form (x,y)
WILL MARK BRAINLEST
Answers
Answer:
its 2
Step-by-step explanation:
can i get brainliest
please help I begging u
Answers
Andy's appliance repair charges a certain amount for house calls based on the amount of time that it takes for the repair
Answers
Answer:
Step-by-step explanation:
I am sorry but please give detailed question
*PLEASE SOLVE USING EQUATIONS*
How old am I if 200 reduced by 2 times my age is 46?
A) 89
B) 83
C) 77
D) 108
Answers
Answer:
C) 77
Step-by-step explanation:
77 times 2= 154
200-154= 46
PLSSSSS HURRY I AM TIMED. Dino has 14 coins and 2 one-dollar bills. Which describes the relationship between the coins and the dollar bills?
Dino has 7 times as many coins as he has bills.
Dino has 7 times as many bills as he has coins.
For every 2 bills, Dino has 7 coins.
For every 7 coins, Dino has 14 bills.
Answers
Answer:
I believe it's A
Step-by-step explanation:
(^-^) Hope this helps!
Answer:
For every 2 bills, Dino has 7 coins.
Step-by-step explanation:
Tuition for one year at the University of Houston is about $12,300. Azul plans to attend this university and will save money each month for the next 4 years. His parents have saved $4,860 for his first year of tuition. Which plan shows the amount of money Azul will need to save in order to pay for his first year at the University of Houston?
A. Azul will need to save $1,860 per month for the next 4 years.
B. Azul will need to save $155 per month for the next 4 years.
C. Azul will need to save $620 per month for the next 4 years.
D. Azul will need to save $256.25 per month for the next 4 years
Answers
Answer:
It should be C. 620
Step-by-step explanation:
Using proportions, it is found that Azul will need to save $155 per month for the next 4 years, and the correct option is B.
The total price of one year of tuition is $12,300, while his parents have saved $4,860.Thus, the amount he has to save for the next 4 years is:
[tex]A = 12300 - 4860 = 7440[/tex]
4 years have 48 months, thus, he has to save $7440 in 48 months, which means that the monthly amount is:[tex]\frac{7440}{48} = 155[/tex]
And the correct option is:
B. Azul will need to save $155 per month for the next 4 years.
A similar problem is given at https://brainly.com/question/24342347
How many terms are in -6p + 4 - 32q + (-3r) - 62
Answers
ASAP!!! LOOK AT THE IMAGE FOR THE GRAPH AND ANSWER CHOICES!! PLEASE HELP URGENT!!
Answers
Answer:
The answer is D.
4x + y = 2
x - y = 3
____________
When given a graph with an intersection of two lines, first locate the y-intercept (the point where x = 0) of each line, and then find it's slope by evaluating its change in y over the change in x.
It is also possible to eliminate the incorrect systems using substitution when given a point of intersection.
For example, as the point of intersection is apparent on this graph, you can substitute these coordinates from the graph into each of the systems of equations given in the choice answers to verify it.
For it to be a solution, it must satisfy (make true) both equations of the system.
(a, b) : (x, y)
Given that (1,-2) is our point of intersection according to the graph.
Choice A is incorrect because (1, -2) → x + 4y = 3 → (1) + 4(-2) = 3 → 1 + (-8) = 3 →
1 - 8 = 3 → -7 ≠ 3.
And (1, -2) → x + y = 2 → (1) + (-2) = 2 →
-1 ≠ 2.
It is already incorrect as one of the
equations in this system do not satisfy the coordinate.
Choice B is also incorrect because
(1, -2) → x + 4y = 2 → (1) + 4(-2) = 2 →
(1) + (-8) = 2 → 1 - 8 = 2 → -7 ≠ 2.
And (1, -2) → x + y = 3 → (1) + (-2) = 3 →
1 - 2 = 3 → -1 ≠ 3.
Lastly, Choice C is incorrect because
(1, -2) → 4x + y = 3 → 4(1) + (-2) = 3 →
4 + (-2) = 4 - 2 = 3 → 2 ≠ 3.
And (1, -2) → x - y = 2 → (1) - (-2) = 2 →
1 + 2 = 2 → 3 ≠ 2.
Therefore D is correct because it is the last answer remaining.
Also here is proof:
(1, -2) → 4x + y = 2 → 4(1) + (-2) = 2 →
4 + (-2) = 2 → 4 - 2 = 2 → 2 = 2
So one equation fits the coordinate, but this cannot yet be verified as the working system unless both equations fit the point.
So (1, -2) → x - y = 3 → (1) - (-2) = 3 →
1 + 2 = 3 → 3 = 3
Now we can say that this is the working system.
_____________________________
The next method involves strong observation of the graph to find both equations in slope-intercept form and then back into standard form to find a match of the choice answers as both systems are in standard form (Ax + By = C)
With the first line, it has a y-intercept of 2 because this is where it crosses the y-axis when x = 0. It also has a slope of -4 because it goes down 4 units every 1 unit to the right. This means that the first line has an equation of y = - 4x + 2.
Slope intercept form is the form y = mx + b where m is the slope( rise over run/change in y over change in x) , and b is the y-intercept (where x = 0).
The next line has a y-intercept of -3 because this is where it crosses the axis, and where x = 0. This also has a slope of 1 because it rises by 1 every run or goes up 1 unit every 1 unit to the right. therefore the second line has an equation of y = x - 3.
dennis estimated the width of the space he has in his kitchen to fit a new refrigerator to be 36 inches. the actual width is 33 inches. what is the approximate percent error?
Answers
Answer:
8%
Step-by-step explanation:
Given the following data;
Experimental value = 36 inches
Theoretical value = 33 inches
Percent error can be defined as a measure of the extent to which an experimental value differs from the theoretical value.
Mathematically, it is given by this expression;
[tex] Percent \; error = \frac {experimental \;value - theoretical \; value}{ theoretical \;value} *100[/tex]
Substituting into the equation, we have;
[tex] Percent \; error = \frac {33 - 36}{ 36} *100[/tex]
Note: we would ignore the negative sign.
[tex] Percent \; error = \frac {3}{ 36} *100[/tex]
[tex] Percent \; error = 0.833 *100[/tex]
Percent error = 8.33 ≈ 8%
10+10 Chloe answer
Answers
Answer:
20
Step-by-step explanation:
A restaurant makes it barbecue sauce by the gallon but they sell in 12 ounce bottles this week 3 gallons of barbecue sauce are ready to bottle how many fluid ounces of sauce is there
Answers
Answer:
3 gallons = 12 ounces
12 x 3 = 36 ounces
Regroup the integers
Answers
For the following right triangle, find the size length X. Round your answer to the nearest hundredth
Answers
Answer:
The answer would be 10.72
Step-by-step
You already have two side lengths so you use those to find the 3rd length
[tex]A^{2}[/tex]+[tex]B^{2}=C^{2}[/tex]
[tex]A^{2}+9^{2} =14^{2}[/tex]
[tex]A+81=196[/tex]
196-81=115
[tex]\sqrt{115[/tex]
10.72
evaluate each expression if m equals 3 and n equals 7, 3mn is?
Answers
Answer:
63
Step-by-step explanation:3(3)(7)=63
Answer: 3 x 3 x 7 = 63
Step-by-step explanation: I am not sure if this is what you are asking but when a number and a variable and next to each other without any spaces it means that you should multiply them, so, 3 x m is just 3 x 3. Expanding on this, if 3 x 3 x n is equal to 3 x 3 x 7 then you can just multiply 3, 3, and 7 for a total of 63.
Joanne signed up for 24 dancing lessons she took 3/4 of the by April and 1/5 of them by May .What part of dancing lesson did she take?
Answers
Answer:
[tex]Part = \frac{19}{20}[/tex]
[tex]Lessons = 23[/tex]
Step-by-step explanation:
Given:
[tex]Dancing\ Lessons = 24[/tex]
[tex]April = \frac{3}{4}[/tex]
[tex]May = \frac{1}{5}[/tex]
Required:
Determine the part she took
To solve this, we simply add up the part she took in April and May.
[tex]Part = \frac{3}{4} + \frac{1}{5}[/tex]
Take LCM
[tex]Part = \frac{15 + 4}{20}[/tex]
[tex]Part = \frac{19}{20}[/tex]
Hence, she took [tex]\frac{19}{20}[/tex] of the dancing lesson.
However, to calculate the number of lesson.
We have to multiply [tex]\frac{19}{20}[/tex] by the total dancing lessons.
[tex]Lessons = \frac{19}{20} * 24[/tex]
[tex]Lessons = \frac{19* 24}{20}[/tex]
[tex]Lessons = \frac{456}{20}[/tex]
[tex]Lessons = 22.8[/tex]
[tex]Lessons = 23[/tex] ---- Approximated