Can you go step by step on this please, I need to write down notes for my math class.
Answers
Answer:
x = 32, y = 51
Step-by-step explanation:
You know the longest side of ΔTUS is 13m and the longest side of ΔMNP is (2x-y). Thus:
2x - y = 13 --- Equation 1
You know the sum of angles in a triangle is 360°. Two of the angles are given in ΔMNP (142° & 24°) and the remaining angle is (2x-50)°. Thus:
142 + 24 + 2x - 50 = 180
2x + 116 = 180
2x = 180 - 116
2x = 64
x = 64 ÷ 2
x = 32 --- Equation 2
Substitute x = 32 into Equation 1:
2(32) - y = 13
64 - y = 13
-y = 13 - 64
= -51
y = 51 --- Equation 3
Answer:
x = 32, y = 51
Step-by-step explanation:
Since the triangles are congruent then corresponding angles and sides are congruent, then
∠ U = ∠ N and NP = US
Require to find ∠ N
∠ N = 180° - (24 + 142)° ← sum of angles in triangle
= 180° - 166°
= 14°
Thus
2x - 50 = 14 ( add 50 to both sides )
2x = 64 ( divide both sides by 2 )
x = 32
and
NP = US
2x - y = 13 ← substitute x = 32
2(32) - y = 13
64 - y = 13 ( subtract 64 from both sides )
- y = - 51 ( multiply both sides by - 1 )
y = 51
Related Questions
Doug and Emily are driving cars on a track, and they both do 20 laps around a 1-mile track. Doug drives an average of 60 miles per hour around the track while Emily drives at an average of 80 miles per hour. When Emily finished her 20 laps how many laps does Doug have left?
Answers
Answer:
When Emily finishes 20 laps Doug has to finish 5 laps.
Step-by-step explanation:
To find how many laps does Doug have left, we need to calculate the time that Emily takes to finish 20 laps:
[tex] t = \frac{x}{v} [/tex]
Where:
x: is the distance = 1 mile
t: is the time
v: is the speed of Emily = 80 mi/h
The time that takes Emily to do 20 laps is:
[tex] t = 20*\frac{1 mile}{80 mile/h} = 0.25 h [/tex]
Now, we can find the number of laps:
[tex]x = v*t = 60 miles/h*0.25 h = 15 miles*\frac{1 lap}{1 mile} = 15 laps[/tex]
[tex] laps = 20 - 15 = 5 [/tex]
Therefore, when Emily finishes 20 laps Doug has to finish 5 laps.
I hope it helps you!
Need help ASAP!!!!-
Answers
Answer:
I think it's 7.200 but if I'm wrong I'm sorry
In 40 minutes; diane walks 2.5 miles and sue walks 1.5 miles. in miles per hour , how much far diane walking?
Answers
Diane will walk 1.5 miles more than Sue.
Firstly calculating the speed of Diane and Sue in miles per hour. As per the known fact, 1 hour has 60 minutes.
In 40 minutes Diane walks distance = 2.5 miles
So, converting speed in miles per hour = (2.5 ÷ 40)×60
Speed of Diane in miles per hour = 3.75 miles per hour
In 40 minutes Sue walks distance = 1.5 miles
So, converting speed in miles per hour = (1.5 ÷ 40)×60
Speed of Sue in miles per hour = 2.25 miles per hour
Difference between the distance covered = 3.75 - 2.25
Performing subtraction
Difference between the distance covered = 1.5 miles
Hence, Diane will walk 1.5 miles more than Sue.
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Six times a number decreased by 5 is 273. Find the number and show your work pls
Answers
Answer: The number is 46.3 repeating
Step-by-step explanation:
273 = 6x + 5
+ 5 = 6x
278 = 6x
----- = ---- = 46.3 repeating
6 = 6
Hope this helps :)
Write the Slope-Intercept and Point-Slope forms of the line passing through the point (-3, 2) and having a slope of -4/5
Answers
Answer:
slope-intercept: [tex]y=\frac{-4}{5} x-\frac{2}{5}[/tex]
point-slope: [tex]y-2=\frac{-4}{5} (x+3)[/tex]
Step-by-step explanation:
The slope-intercept form of a line is written as y = mx + b, where m is the slope and b is the y-intercept.
The point-slope form of a line is written as y - y1 = m(x - x1), where (x1, y1) is a given point and m is the slope.
Here, we see that the slope is -4/5, which means that m = -4/5. Since we're given a point (-3, 2), let's go ahead and just write the point-slope form already. (x1, y1) = (-3, 2) so x1 = -3 and y1 = 2. Then:
y - y1 = m(x - x1)
y - 2 = (-4/5) * (x + 3)
[tex]y-2=\frac{-4}{5} (x+3)[/tex]
Now, we want to find the slope-intercept form, so we need to figure out the y-intercept. Well, first, let's plug in what we know:
y = mx + b
y = (-4/5)x + b
Any point on this line will satisfy the above equation. Since (-3, 2) is on this line, if we plug -3 in for x and 2 in for y, the equation should hold true, so we can solve for b:
y = (-4/5)x + b
2 = (-4/5) * (-3) + b
2 = 12/5 + b
b = -2/5
So, the y-intercept is -2/5. Then the slope-intercept form is:
[tex]y=\frac{-4}{5} x-\frac{2}{5}[/tex]
Thus, our two equations are:
slope-intercept: [tex]y=\frac{-4}{5} x-\frac{2}{5}[/tex]
point-slope: [tex]y-2=\frac{-4}{5} (x+3)[/tex]
Ratio Tables. Practice Worksheet A 1) 2) 3) Practice Problems Complete each ratio table by finding the missing values. 4) X 2 3 4 5 X 1 2 3 4 X 2 4 6 80 y 6 9 y 5 10 y 8 16 5) 6) X 1 4 7 10 X 4 7 10 13 X 6 8 10 12 y 3 21 y 14 26 y 50 60
Answers
The missing number in table 1 is 12 and 15.
The missing number in table 2 is 15 and 20.
The missing number in table 3 is 24 and 32.
The missing number in table 4 is 12 and 30.
The missing number in table 5 is 8 and 20.
The missing number in table 6 is 30 and 40.
Missing values are numbers that are missing in a given set of numbers and have similar differences between them. A way to write the missing numbers is given by finding similar changes between these numbers and filling in the missing terms at specific lines and locations.We have given 4 tables which is shown in question.
In table 1 , from image we can see that there is series of multiplying by 3 like 2 × 3 = 6 and 3 × 3 = 9 similarly 4 × 3 = 12 and 5 × 3 = 15.
In table 2 , from image we can see that there is series of multiplying by 5 like 1 × 5 = 5 and 2 × 5 = 10 similarly 3 × 5 = 15 and 4 × 5 = 20 .
In table 3 , from image we can see that there is series of multiplying by 4 like 2 × 4 = 8 and 4 × 4 = 16 similarly 6 × 4 = 24 and 8 × 4 = 32.
In table 4 , from image we can see that there is series of multiplying by 3 like 1 × 3 = 3 and 7 × 3 = 21 similarly 4 × 3 = 12 and 10 × 3 = 30 .
In table 5 , from image we can see that there is series of multiplying by 2 like 7 × 2 = 14 and 13 × 2 = 26 similarly 4 × 2 = 8 and 10 × 2 = 20 .
In table 6 , from image we can see that there is series of multiplying by 5 like 10 × 5 = 50 and 12 × 5 = 60 similarly 6 × 5 = 30 and 8 × 5 = 40 .
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can someone help please and explain i’m gonna mark brainliest!!
Answers
Answer:
I believe it is C
Step-by-step explanation:
According to the 30-60-90 rules for the length of the sides. the short leg is x the long leg is xsquareroot3 and the hypotenuse is 2x. Following that rule, A is 3square root 3 and b is 3
What is the slope of the line? Please explain your answer.
A.) m=5
B.) m= -5
C.) m=1/5
D.) m= -1/5
Answers
At first glance we can see the slope of the line is negative. Automatically A and C are incorrect. Slope is y/x, we go 1 space down and 5 spaces to the right. (Run over rise)
Answer: D
Step-by-step explanation: Assuming the left point is A at (-2,2) and the right point is B at (3,1) we can determine the slope by using the “Rise over Run” rule where the change in Y is the “Rise” and the change in X is the “Run”. By setting up the equation y2-y1/x2-x1 we can plug in the coordinates from the variables and get 1-2/3+2 which leaves us with our answer m= -1/5
Complete the table:
Answers
Answer:
Fraction Percentage Decimal
¹/₅ 20% 0.2
¹/₄ 25% 0.25
¹/₂ 50% 0.5
²/₃ 66.6% 0.6
Fraction;
25/100 = 1/4
66.6/100 = 2/3
Percentage
1/5 * 100 = 20%
1/2 * 100 = 50%
Decimal
1/5 = 0.2
25/100 = 0.25
1/2 = 0.5
Simplify: 4 4 please
Answers
Answer:
if u mean 4x4 its 16, but if u mean 4 to the power of 4 its 256
Step-by-step explanation:
PLz MarK aS bRaInLiEsT :0
HELP!!!! WILL MARK BRAINLIEST!!!!
Answers
Answer:
I would say the answer is G because it seems the most accurate than the other ones.
Step-by-step explanation:
A line has slope m=3/4 and passes through the point (0,-5) what is the equation of the line?
Answers
2
Given that AKON ~ ALOM , find the coordinates of L and the scale factor.
0 K (3,0) L
* (3,0)
N
(0,-4)
M
(0, -12)
A L (9,0) and scale factor is 3
BL(
60) and scale factor is 2
4
C L (9,0) and scale factor is
3
D L(6,0) and scale factor is 3
Answers
Answer:
ano yan di ko maintindihan
Step-by-step explanation:
sorry po di ko po kasi maintindihan
Answer:
A
Step-by-step explanation:
Find the value of x. helpp!!
Answers
Answer:
Step-by-step explanation:
s=180(8-2)
s=1080
So
106+(180-11x)+(180-12x)+143+(180-17x)+130+(180-12x)+137=1080
-52x=1080-1236
-52x=-156
x=3
Whoever tells me what 10+10 is I’ll give out a brainliest to
Answers
Answer:
20
Step-by-step explanation:
What is the x and y intercept absolute min/max
Answers
x and y-intercept :
The x-intercept is where a line crosses the x-axis, and the y-intercept is the point where the line crosses the y-axis. Thinking about intercepts helps us graph linear equations.
Absolute min:
An absolute maximum point is a point where the function obtains its greatest possible value.
Absolute max :
An absolute minimum point is a point where the function obtains its least possible value.
Local Extrema (Local Maxima/Minima): The local maxima and minima on a graph refer to the maximum and minimum points of the graph over a specific interval of the graph as opposed to the entire graph, so there can be multiple local maxima and minima of a given graph.
When considering which points are the absolute maximum and the absolute minimum of a graph, we not only need to consider local extrema (a maximum/minimum of a graph on some interval that contains the point), but we also need to consider the endpoints (the furthest left/right points on our graph). By looking at the y-values for each of these points, we can identify the absolute maximum of the graph as the point with the highest y-value, and we can identify the absolute minimum as the point with the lowest y-value.
Step 1: Identify local maxima/minima, as well as the endpoints.
From this graph, we can see that our graph is on the interval
This means we have our endpoints at [-1,-1] , [4,1] ,
to consider. We also observe that we have one local minima and one local maxima in between these points on our interval. The estimated points are all shown in the image.
absolute minimum point : [-1,-1]
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Evaluate this expression, be sure to use the correct order to calculate. 64 ÷ 4^2 *
Answers
Answer:
The correct solution is 4
Step-by-step explanation:
64÷4^2
64÷16
=4
Answer:
4
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define Expression
64 ÷ 4²
Step 2: Evaluate
Exponents: 64 ÷ 16Divide: 4please help.
The revenue for a certain style of backpack is y = 32x where 'x' is the number of backpacks sold and 'y' is the income in dollars for selling 'x' backpacks. The cost equation is y = 15x + 25,500 where 'x' is the number of backpacks manufactured and 'y' is the cost in dollars for manufacturing 'x' backpacks. Find the number of backpacks (x) to be sold for the company to break even.
32
1500
1550
1450
Answers
Answer: 1500
Hope this helps :)
I NEED HELP ASAP!!
The Johnson party had a good hunt. They bagged a total of 26 deer which included some
big bucks, little bucks and some does. The number of does is 5 more than twice the amount of
little bucks. The number of big bucks was half as many as little bucks. How many big bucks,
little bucks and does did the party get?
Answers
9514 1404 393
Answer:
3 big bucks6 little bucks17 doesStep-by-step explanation:
Let B, L, D represent the numbers of big bucks, little bucks, and does, respectively.
B + L + D = 26 . . . . . . total bagged
D = 5 + 2L . . . . . . . . . 5 more does than twice the number of little bucks
B = L/2 . . . . . . . . . . . . half as many big bucks as little bucks
__
We can substitute for B and D in the first equation:
L/2 + L + (5 +2L) = 26
7/2L = 21 . . . . . . . . . . . . . subtract 5, collect terms
L = 6 . . . . . . . . . . . . . . . . . multiply by 2/7
D = 5 + 2·6 = 17
B = 6/2 = 3
The party bagged 3 big bucks, 6 little bucks and 17 does.
How many 2/5 teaspoon doses of medicine are in a container that holds 18/10 teaspoon of medicine?
Answers
Answer: 4.5
Step-by-step explanation:
if q=√5+2 then find q+1/q
Answers
Answer:
Step-by-step explanation:
Givens
q + 1/q
q = √5 + 2
Solution
√5 + 2 + 1/(√5 + 2) Rationalize the denominator, 2nd term
√5 + 2 + (√5 - 2) / ( (√5+2)(5 - 2) )
√5 + 2 + (√5 - 2) / (5 - 4) Simplify the denominator of term 2
√5 + 2 + (√5 - 2) / 1
2√5 <<<<<< Answer
Which is a TRUE statement about the transformation shown?
Answers
Statement (C) The graph show a reflection and the pre-image and image are congruent is the correct option.
We can see that both the figures are identical but the vertices A and C have changed the position.
This shows that it is a reflection of the image given originally as the vertices have only being flipped.
Now, we can also see that the shape and size both are same of the image and the pre-image. Also, the sides of the triangle are equal to one another.
The angles are also equal to one another.
This means that they are congruent to each other.
Therefore, statement (C) The graph show a reflection and the pre-image and image are congruent is the correct option.
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Help me with question 3
Answers
The input x = 1 leads to multiple outputs y = 1 and y = 2 simultaneously, which is why choice D isn't a function.
A function is only possible if any input leads to exactly one output only. Choices A,B and C are all functions for this reason.
Answer:
I believe it would be C.
**Solve by Elimination
3 + 2x - y = 0
-3-7y = 10x
7) x =
8) y =
Answers
Explanation:
3 + 2x - y = 0
Or 2x - y = -3 (1)
-3-7y = 10x
Or -10x - 7y = 3 (2)
2x - y = -3 (1)
-10x - 7y = 3 (2)
———————
Multiply 5 to (1)
5(2x - y = -3)
-10x - 7y = 3
———————
10x - 5y = -15
-10x - 7y = 3
———————
-12y = -12
y = -12/-12
y = 1
Plug y value in (1)
2x - 1 = -3
2x = -3 + 1
2x = -2
x = -2/2 = -1
Therefore, x = -1 and y = 1
What is the rate of change for the linear relationship modeled in the table?
Answers
Answer:
+.5
Step-by-step explanation:
every 2 it goes up by 1 so you half that and get .5
Answer:-1/2
Step-by-step explanation:
Place the daily temperatures of the following States from top to bottom coldest to warmest.
Alaska -35
=
Hawali 52
Colorado -3
Oregon-12
Florida 49
Arizona 36
Main -22
California 58
Answers
Main
Oregon
Colorado
Arizona
Florida
Hawaii
Cali
PLEASE HELP!!!!!!!!!!!!!!!!1
Answers
Answer: 212 212 21112
Step-by-step explanation: loser
hugh bought 2 bottles of water. if the total cost of the water was $4.50, which equation could be used to find the cost of each bottle of water.
Answers
Please help this is due soon!
Answers
Answer:
0.025
Step-by-step explanation:
Thats the answer
its divided exmple: 5÷200= the total is 0.025
Fill in the table using this function rule.
y=2x+5
Answers
3
5
7
Done :)
Just multiply each value of x by 2 and add 5
The complete table for the given function y = 2x + 5 is -
{x} {y}
-2 1
-1 2
0 5
1 7
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is the expression as -
y = 2x + 5
We can write the complete table as -
{x} {y}
-2 2 x -2 + 5 = 1
-1 2 x -1 + 5 = 2
0 2 x 0 + 5 = 5
1 2 x 1 + 5 = 7
Therefore, the complete table for the given function y = 2x + 5 is -
{x} {y}
-2 1
-1 2
0 5
1 7
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