[tex]\underline{\underline{\large\bf{Solution:-}}}\\[/tex]
[tex]\longrightarrow[/tex]Since angle X and Y have a sum of 159
[tex]\implies \bf Y + X= 159 \_\_\_\_(1) [/tex]
[tex]\longrightarrow[/tex]Since X is 43 degrees smaller than Y , so subtracting X from Y would give 43 , therefore equation will be written as -
[tex]\implies \bf Y - X = 43 \_\_\_\_(2) [/tex]
Adding Equation (1) and (2)
[tex]\begin{gathered}\\\implies\quad \sf Y+X+Y-X = 159+43 \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf Y+Y + X-X = 202 \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf 2Y = 202 \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf Y = \frac{202}{2} \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \boxed{\sf {Y = 101 }} \\\end{gathered} [/tex]
Putting Y in eq (1)
[tex]\begin{gathered}\\\implies\quad \sf X + 101 = 153 \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf X = 153-101 \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \boxed{\sf{ X = 52 }}\\\end{gathered} [/tex]
Secre
PAAS Congruence Theorem (Angle-Angle-Side): if two angles and the non-included side
of one triangle are congruent to the corresponding parts of another triangle, the
triangles are congruent.
1.
Prove that AMNO is congruent to AXYZ using triangle congruency theorems.
M
Given: ZM 2X
UN E ZY
YO NZ
Prove: AMNO ZAXYZ
Answer:
Step-by-step explanation:
find the value of x
Answer:
55°
Step-by-step explanation:
[tex]m\angle X = m\angle Z[/tex] (Opposite angles of a parallelogram)
[tex]\implies m\angle X = 70\degree[/tex]
In [tex]\triangle WXY[/tex]
WX = XY (given)
[tex]\implies m\angle XWY = m\angle XYW[/tex]
(Angles opposite to equal sides are equal)
[tex]m\angle XWY = x [/tex] (Given)
[tex]\implies m\angle XYW=x[/tex]
[tex]\implies x + x + 70\degree=180\degree[/tex]
(By angle sum postulate of a triangle)
[tex]\implies 2x =180\degree-70\degree[/tex]
[tex]\implies 2x= 110\degree[/tex]
[tex]\implies x= \frac{110\degree}{2}[/tex]
[tex]\implies\huge{\orange {\boxed{ x=55\degree}}}[/tex]
5+(3×n)=5
Which value of n makes the number sentence true?
1
0
−3
−5
Answer:
0 makes the statement true.
explanation:
5+(3×n)=5
5 + 3n = 5
3n = 5 - 5
3n = 0
n = 0
check:
5+(3×0) = 5
5 + 0 = 5
5 = 5
Both sides equal, therefore statement true.
Need the answers ASAP please
Answer:
Find the HCF of 72 and 180
Greg has a spotify playlist. The playlist had 5 classical
songs, 7 rock songs, and 9 rap songs on it.
What is the probability that, when Greg presses shuffle,
he gets a rap song? Explain.
Answer:
3/7
Step-by-step explanation:
9 + 7 + 5 = 21
9/21 divided by 3/3
= 3/7
Metal cylinders are made by bending rectangular sheets of metal, measuring 15 cm
by 6 cm, until the sides meet.
How many cylinders can be made from a sheet of metal that is 2 m long and
1 m wide?
m
Answer:
1m wide it means in cm area of sheet = 200 cm × 100 cm=20000 cm2total number of cylinder making through sheet= area of sheet / curved surface area of a cylinder= 20000/90=222.2222 (approx)
Step-by-step explanation:
mark me brainliest!!
50 POINTS!
What form is the equation
2x + 3y = 4
given in?
A. Point-Slope Form
B. Slope-Intercept Form
C. Standard Form
D. General Form
Answer:
The answer is C.Standard Form. The rest are used when graphing. Hope this helps!
Let's verify all options to see which is correct.
A. Point slope form:This equation is not in point-slope form because if we compare the given equation with the formula, they both will be in different forms.
=> 2x + 3y = 4 and y - y₁ = m(x - x₁)Henceforth, this equation is not in point-slope form.
B. Slope intercept form:This equation is not in slope intercept form because if we compare the given equation with the formula, they both will be in different forms.
=> 2x + 3y = 4 and y = mx + bHenceforth, this equation is not in slope intercept form.
C. Standard form:This equation is in standard form because if we compare the given equation with the formula, they both will be in similar forms.
=> 2x + 3y = 4 and (a)x + b(y) = cHenceforth, this equation is in standard form.
D. General form:This equation is not in general form because if we compare the given equation with the formula, they both will be in different forms.
=> 2x + 3y = 4 and (a)x + (b)y + c = 0Henceforth, this equation is not in slope intercept form.
Conclusion:Option C is correct.
HELP IT IS DUE IN 20 MIN
Find the area of the shaded segment
Could someone please give me a step by step explanation as well please and thank you very much :)
Answer:
Area = l × w
= 18 × 10
= 180 centimeters2
Step-by-step explanation:
Some answer this for me pls
Answer:
120 -xx +12Step-by-step explanation:
The absolute value function multiplies its argument by -1 if and only if that argument is negative.
a)[tex]|x-120|=\begin{cases}-(x-120)&\text{for }(x-120) < 0\\(x-120&\text{for }(x-120)\ge0\end{cases}[/tex]
The first condition resolves to ...
x -120 < 0 ⇒ x < 120 . . . . . matches the given condition x < -120
So, we can simplify the expression to ...
-(x -120) = 120 -x . . . when x < -120
__
b)[tex]|x-(-12)|=\begin{cases}-(x+12)&\text{for }(x+12) < 0\\(x+12)&\text{for }(x+12)\ge0\end{cases}[/tex]
The second condition resolves to ...
x+12 ≥ 0 ⇒ x ≥ -12 . . . . . matches the given condition x > -12
So, we can simplify the expression to ...
x +12 . . . when x > -12
_____
Additional comment
You may have noticed that the function |x -120| translates the absolute value function 120 units to the right. The condition x < -120 puts the boundary at 120 unit to the left of 0, well within the area to the left of the vertex. This is illustrated by the attached graph.
The basic wage earned by a truck driver for a 40-hour week is $560. 0. A) Calculate his hourly rate. For overtime work, the driver is paid one and a half times the basic hourly rate. Calculate his overtime wage for 10 hours of overtime
Answer:The basic wage earned by the truck driver for 40 hours of work is $560. The hourly rate can be calculated from this. It is equal to 560/40 = $14.
Step-by-step explanation:
good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.
Answer:
Step-by-step explanation:
The first box goes with the graph on the very right top.
The second box goes to the bottom box in the middle.
The third one is the very left top graph.
The fourth one is the middle top row one.
Answer:
1=3
2=4
3=1
4=2
Step-by-step explanation:
option 1 is the 3rd graph
option 2 is the last graph
option 3 is the 1st graph
option 4 is the 2nd graph
Find the product of 2x^(4x² + 3x + 1). (1 point)
O Bx + 6x² + 2x
O 8x + 3x² + 2x
O 2x + 6x + 8x8
O 6x² + 5x² + 3x
Answer:
A - 8x + 6x² + 2x
Step-by-step explanation:
source: trust me bro
1. Maximum is cleaning shrimp. He cleans 4 shrimp every minute. Use time in minutes as the independent quantity and the number of shrimp as the dependent quality.
A= Is the relationship proportional or non-proportional? Explain how you can determine this using a graph and the equation.
B= Identity the unit rate of this relationship. Explain what the unit rate means in terms of the situation.
C= Create a graph of the relationship.
Answer:
Step-by-step explanation:
Relationship Equation between time and shrimps cleaned : S = 4T; Relationship is inversely proportional; Unit rate of change = 4
Given : 4 Shrimps cleaned every minute.
So, Shrimps cleaned 'S' = 4 times minutes taken 'T' ; S = 4T
The relationship between variables is proportional, as the dependent variable (shrimps) is constant multiples times the independent variable (time), & their ratio remains constant.
It is directly proportional, as both variables (shrimps & time) move in same direction. One variable increase or decrease, other variable same respectively.
Graph in this case is upward sloping curve from origin, because of direct proportional relationship respectively.
Unit rate of change denotes constant magnitude of change in a variable with other variable. It is 4 in this case, as time increases the shrimps.
Which equation represents this number sentence?
The quotient of 7 and a number is 10 less than 3 times the number
7/n=3(n-10)
7/n =10-3n
N/7=10-3n
7/n3n-10
Answer:
7n=3(n-(10)
Answer= n= -15
2
Answer:
7/n = 10-3n
Step-by-step explanation:
Quotient: 7
Variable (#): N
7/n
Is: Equal sign
7/n=
Number: 10
7/n=10
Less than: -
7/n= 10-
3 times the number: 3n
7/n = 10 - 3n
I need help please I was stuck here
Answer:
1) Point A is located at 1, -3
2) T is at -2, 4, so T
Hope this helps
please help me find x alecks is hard
Answer:
x=48
Step-by-step explanation:
check the picture
A cone has a height of 13 millimeters. Its base has a radius of 4
millimeters. Find its volume, in cubic millimeters, to the nearest tenth.
Use 3.14 or the calculator value for pi.
Answer:
Step-by-step explanation:radius r = 4 m
height h = 13 m
slant height s = 13.6014705 m
volume V = 217.817091 m3
lateral surface area L = 170.921119 m2
base surface area B = 50.2654825 m2
total surface area A = 221.186602 m2
If GF = 10, GE = 12 and EF = 9, what is the length of CD?
The length of CD is the number of units on segment CD
Using the assumed parameters, the length of segment CD is 3 units
How to determine length of segment CDThe question is incomplete, as the length of segment CD cannot be explicitly calculated from the given parameters.
Using a general explanation, a possible way to calculate the length of segment CD is if triangles EFG and CDE are similar triangles where segment CD and EF are similar sides.
So, we have:
CD = k * EF
Where k is the scale factor.
Assume the scale factor is 1/3, the equation becomes
CD = 1/3 * 9
CD =3
Using the assumed parameters, the length of segment CD is 3 units
Read more about line segments at:
https://brainly.com/question/14366932
Need help!
Find the missing side length!
Answer:
by using pythogoras theorem
we get
17² - 15² = y²
64 = y²
8²= y²
y = 8
I hope it helps ya
Find the area of a triangle if base is 45 and height is 10
Answer:
225 units squared
Step-by-step explanation:
The area of a triangle is 1/2*base*height.
A = 1/2*b*h
base = 45
height = 10
Just plug into formula.
A = 1/2*(45)*(10) = 225
Florida has a population of about 2 X 10'. The Earth has a population of about 8 X 109. About how many times more populated is the Earth than Florida?
Please Help!
Answer:
852
Step-by-step explanation:
2 times 10 is 20
8 times 109 is 872
You subtract the two values, 872-20=852
If Florida has a population of about 2 X 10'. The Earth has a population of about 8 X 109. Then 852 times more populated is the Earth than Florida.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that
Florida has a population of about 2 X 10'.
The Earth has a population of about 8 X 109.
We need to find how many times more populated is the Earth than Florida.
We know that
2 times 10 is 20
and 8 times 109 is 872
To calculate how many times more populated is the Earth than Florida. we just required to subtract 872 and 20.
You subtract the two values, 872-20=852
Hence About 852 times more populated is the Earth than Florida.
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ5
Using the Eyeball Test, what is the BEST method to use to solve the following system? y= 2x - 4 y = 3x - 7
Answer:
substitution
Step-by-step explanation:
where you do: 2x - 4 = 3x - 7 because they both equal y
The perimeter of a square is at most 81cm. what is the greatest possible area of the square? Give your answer correct to 4 significant figures.
Answer:
410.0625 cm^2
Step-by-step explanation:
As this is a square, the length of all sides is equal to each other.
Then the length of one side is = 81cm/4 = 20.25cm
Then the area of the square is = 20.25cm * 20.25cm = 410.0625
Find the measures of the interior angles of the triangle. Find A, B,C
Answer:
A 48 degrees B 88 degrees C 44 degrees
Step-by-step explanation:
All the sides of a triangle add up to 180 degrees.
Subtract the known side from 180. 180-48=132 degrees. That means 132 degrees is the total size of the unknown two angles. You can write that like this:
132=x+(x-44)
Simplify
132=2x-44
add 44
176=2x
Divide by 2
x = 88 degrees.
Now we know that angle B is 88 degrees. Now we just have to find angle C, which will be simple now that we know what x equals.
X-44
88-44
44 degrees
The points (-8, -4) and (0, 2) are endpoints of a diameter of a circle. Identify the standard equation of the circle.
Answer:
the first one i think im not 100% sure havent worked on this much
Step-by-step explanation:
what expression has the value of 36
Answer:
there's nothing there
Step-by-step explanation:
i don't know what the question is here
PART 9 OF ME ASKING FOR HELP
Answer:
B
Step-by-step explanation:2x+50+2x+30 = 180------> 4x+80=180, -80 on both sides, 4x=100 divide by 4 on both x=25 plug x back into the one you want to find which is 2x+50, so 2*25+50 = 100
find the distance between the pair of points (10,25) and (-17,9)
Answer:
31.4
Step-by-step explanation:
Answer:
31.4 or Just 31 if it must be a whole number
Explanation Below:
In order to increase the cicumference of a circle from 12 pi to 18 pi, by how much must the diameter increase
The diameter must increase by ___ cm
Answer:
12 and 18 would be the diameter
Step-by-step explanation:
the circumference of a curcle is pi x diameter
so the difference is 6, which is the difference between 12 and 18