Given: triangle NOP is similar to triangle WXY
We know that NOP has a base length of 4 while triangle WXY has a base length of 10
10 / 4 = 2.5
The scale factor = 2.5
We also know that all similar triangles have congruent angles
The measure of angle X on triangle WXY = 58 degrees because its corresponding angle on triangle NOP = 58 degrees.
We know that all the angles of a triangle add up to 180.
The measure of angle P for triangle NOP is:
180 - (49 + 58) = 73 degrees. This means that the measure of angle Y for triangle WXY is also 73 degrees.
We know that the scale factor = 2.5 so 12 / 2.5 = 4.8
NP / WY = 12 / 4.8 = 2.5
The length of WX = 6 * 2.5 = 15
The length of NP = WY / 2.5 = 12 / 2.5 = 4.8
The scale factor of triangle NOP to triangle WXY is 2/5 =0.4.
What are similar triangles?Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.
Given that, ΔNOP∼ΔWXY
NO/WX =OP/XY =NP/WY
6/WX =4/10 =NP/12
a) The scale factor is 4/10 =2/5
b) m∠X=58
c) m∠Y=
m∠N+m∠O+m∠P
=49°+58°+m∠P=180°
107°+m∠P=180°
m∠P=73°
So, m∠Y=73°
d. 6/WX =4/10 =NP/12
4/10 =NP/12
2/5=NP/12
NP=24/5
NP=4.8
So, NP/WY =4.8/12
e) WX
6/WX =4/10
60=4WX
WX=60/4
WX=15
f) NP
4/10 =NP/12
2/5=NP/12
NP=24/5
NP=4.8
Therefore, the scale factor of triangle NOP to triangle WXY is 2/5 =0.4.
To learn more about the similar triangles visit:
https://brainly.com/question/25882965.
#SPJ2
he numbers in order from greatest to least.
-3, 1 1⁄4, -1 3⁄4, 1⁄10
Answer:
Answer:1 1/4, 1/10, -1 3/4, -3
Step-by-step explanation:
its easy boiiiiiiiiiiiiiii
$$
U
If angle 1 and angle 2 form a linear pair and angle 1 is less than five times the measure of angle 2 find x and angle 1
Answer:
Angle 1 is 30° and angle 2 is 150°
Step-by-step explanation:
Two angles are said to be linear if they are adjacent angles formed by two intersecting lines. The measure of a straight angle is 180 degrees, so a linear pair of angles must add up to 180 degrees.Let angle 1 is a, angle 2 is b and we got b = 5a
a + b = 180°b = 5aa + 5a = 6a6a = 180°a = 180°/6a = 30°and
b = 5*30° = 150°draw the image of ABC under translation by 3 units to the right and 4 units down
Answer:
Step-by-step explanation:
Move to (6,-2) at the top then at the bottom left (3,-5), after that to on th bottom right is (5,-7)
The required translated figure of a triangle ABC is shown in the image attached.
Question asked to draw the image of ABC under translation by 3 units to the right and 4 units down.
What is translation?A translation is defined as a type of conversion that takes an individual point in a figure and slides it the same distance in the same direction.
Since the translation of the figure is shifting the figure through certain specified units. because of translation, there is no cause to changes to the measure of the figure. the new figure formed will be congruent to the former figure.
As per the question, we have a triangle ABC, Let applied all the translation processes to point C. coordinate of C is (-3, 1) after translation 3 units right and 4 unit down the new coordinates are (0, -3). similarly Coordinates of A and B also changed corresponding to C.
Thus, the required translated figure of a triangle ABC is shown in the image attached.
Learn more about translation here:
brainly.com/question/12463306
#SPJ2
Find the values of x and y. 4y 112° 7x +7°
If m = 7x + 7, m = 4y, and m = 112
since m = 112
112 = 7x + 7
112 - 7 = 7x
105= 7x
x = 15
112 = 4y
y = 28
Simplify 7x + x +2 help plssss I’m begging u rawrrr
Answer:
8x+2
Step-by-step explanation:
Answer:
[tex] \huge{ \fbox{ \sf{8x + 2}}}[/tex]
Step-by-step explanation:
[tex] \underline{ \underline{ \mathfrak{lets \: solve}}} : [/tex]
[tex] \star{ \: \sf{ \: 7x + x + 2}}[/tex]
[tex] \text{ Step \: 1} : \sf{ \: Add \: the \: like \: terms : 7x \: and \: x}[/tex]
[tex] \sf{Like \: terms \: are \: those \: which \: have \: the \: same \: base.}[/tex]
[tex] \hookrightarrow{ \sf{8x + 2}}[/tex]
Hope I helped!
Best regards!:D
~[tex] \sf{TheAnimeGirl}[/tex]
The second of two numbers is five more than twice the first. There sum is 80 . Find the numbers.
The first number = x
The second number = 5 + 2x
80 = x + 5 + 2x
Let's combine like terms.
80 = 3x + 5
Subtract 5 from both sides.
75 = 3x
Divide both sides by 3
25 = x
The first number = 25
Let's plug 25 into x for our second number's equation.
The second number = 5 + 2(25) = 55
Answer:
x = first number
y = second number
1. y = 2x +5
2. x = x
3. x + 2x + 5 = 80
4. 3x +5 = 80
5. 3x = 75
x = 25
sub back in to steps 1 and 2:
x = 25
y = 2(25) + 5
y = 55
the first number is 25, and the second number is 55.
CHECK:
80 - 25 = 55
Step-by-step explanation:
1. define your variables
2. use the question to find what each number equals
3. set them equal to 80
4. combine like terms, divide, etc. (SOLVE)
5. sub back into defined variables.
6. check it by subtracting and adding
Simplify the expression.
2x2 +8+ 3x2 + 4x - 10
A. 5x2 +4x-2
B. 2x2 + x - 10
C. 2x2 - x + 10
D. 5x2 +7x - 11
Answer:
2 x 2 + 8 + 3 x 2 + 4x - 10
4 + 8 + 8 + 6 + 4x - 10
26 + 4x - 10
20 + 4x
The answer is 20 + 4x
find the profit or loss percent of a goat which was bought at rupees 1450 and sold at rupees 1740
Answer:
20% profit
Step-by-step explanation:
Given:
Cost = 1450Sold for = 1740Profit:
1740 - 1450 = 290Profit percent:
290/1450*100% = 20%Answer:
c.p=1450
s.p=1740
profit=s.p-c.p
=1740-1450
=290
Which statements are true about polygons? Select three options. All sides and all angles in a polygon are congruent. The sides of a polygon are segments that intersect exactly two other segments, one at each endpoint. In a polygon, all segments with a common endpoint are collinear. If all of the sides of a convex polygon are extended, none of them will contain any points that are inside the polygon. The extension of at least one side or diagonal in a concave polygon will contain a point that is inside the polygon.
Answer:
B, D, E
Step-by-step explanation:
Just took test :D
A polygon refers to a flat or two-dimensional shape which is closed and has straight sides. A polygon doesn't curved sides.
From the options given, the true statements about polygons include:
• The sides of a polygon are segments that intersect exactly two other segments, one at each endpoint.
• If all of the sides of a convex polygon are extended, none of them will contain any points that are inside the polygon.
• The extension of at least one side or diagonal in a concave polygon will contain a point that is inside the polygon.
Therefore, the correct options are B, D and E.
You can read more on polygon here:
https://brainly.com/question/20863477
What point does this line pass through?
y-2=4/5(x-3)
Answer:
(5,2)
Step-by-step explanation:
y = 4[x - (3 - x)] - 7(x + 1)
Answer:
The answer is x - 19.
Hope it helps
HELP ME PLEASEEE!!!!!
Answer:
what do you need help with
Step-by-step explanation:
Which expression has a negative value?
O 7+31-4)(2)
0-212-(-3)]
o (15-7)-(8-3)
-5[7+(-14)]-30
PLEASE HELPPPP
Answer:
(15-7)-(8-3)
Step-by-step explanation:
1.
[tex]7+(31-4)(2)\\\\\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}\\\\\mathrm{Calculate\:within\:parentheses}\:\left(31-4\right)\::\quad 27\\\\=7+27\left(2\right)\\\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:27\left(2\right)\:\\:\quad 54\\\\=7+54\\\\\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:7+54\:\\:\quad 61[/tex]
2.
[tex]-212-(-3)\\\\\mathrm{Apply\:rule}\:-\left(-a\right)=a\\\\=-212+3\\\\=-209[/tex]
3.
[tex](15-7)-(8-3)\\\\\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}\\\\\mathrm{Calculate\:within\:parentheses}\:\left(15-7\right)\::\quad 8\\\\=8-\left(8-3\right)\\\\\mathrm{Calculate\:within\:parentheses}\:\left(8-3\right)\::\quad 5\\\\=8-5\\\\\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:8-5\:\\:\quad 3[/tex]
4.
[tex]-5[7+(-14)]-30\\\\\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}\\\\\mathrm{Calculate\:within\:parentheses}\:\left[7+\left(-14\right)\right]\::\quad -7\\\\=-5\left(-7\right)-30\\\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:-5\left(-7\right)\::\quad 35\\\\=35-30\\\\= 5[/tex]
5g + 4
h
g = 2, h = 2
Need help
Answer:
18
Step-by-step explanation:
PEMDAS
so first you multiply. since g=2 5×2 =10and since h=2 4×2=8 next you add 10+ 8 which is 18 10+8=18I hope this helped
7. A sixth-grade class has 12 boys and 8 girls.
The teacher wants to divide them into
groups that have the same number of boys
and the same number of girls. What is the
greatest possible number of groups the
teacher can make?
A. 4 groups
C. 6 groups
D. 2 groups
B. 8 groups
Question 4 of 10
What is the solution to this equation?
-8x + 4 = 36
A. X = -5
B. X= -4
C. X = 5
D. x = 4
SUBMIT
Answer:
The answer is B, -4
Step-by-step explanation:
Subtract 4 on both sides
[tex]-8x=32\\[/tex]
Divide both sides by -8
[tex]x=-4[/tex]
Determine the value of x in the figure.
Question 20 options:
A)
x = 9
B)
x = 3
C)
x = 6
D)
x = 4.5
Step-by-step explanation:
Hey there!
Your required answer is option B.
Here,
Given,
The figure is an equilateral triangle with, side (7x+9) and (x+27).
By the defination of equilateral triangle we have,
All sides of equilateral triangle are equal.
So,
[tex]( 7x+ 9) = x + 27[/tex]
Simplify them to get answer.
[tex]7x - x = 27 - 9[/tex]
[tex]6x = 18[/tex]
[tex]x = \frac{18}{6} [/tex]
Therefore the value of x is 3.
Hope it helps...
The value of x in the figure is:
B) x = 3
How to determine the value of x in the figure?Trigonometry deals with the relationship between the ratios of the sides of a right-angled triangle with its angles.
The signs on the three sides of the triangle indicate that all the sides of the figure are equal. Thus, we can say:
7x + 9 = x + 27
7x - x = 27 - 9
6x = 18
x = 18/6
x = 3
Therefore, the value of x is 3.
Learn more about Trigonometry on:
brainly.com/question/11967894
#SPJ6
amanda can swim 25 yards in 30 seconds mckinly can swim 1000 yards in an hour who can swim faster
Answer:
amanda
Step-by-step explanation:
25 yards / 30 seconds = 50 yards / 1 minute
50 yards * 60 mins = 3000 yards / hour
Amanda swims 3000 yards in one hour
McKinly swims 1000 yards in one hour
Amanda can swim faster than Mckinly
What is the correct sequence of steps for caculating 9^6 on the scientific calculator?
Answer:
9x9x9x9x9x9
Step-by-step explanation:
Please help! Will give Brainliest :D
A delivery company uses cars, cargo vans, and semitrailers. The company uses its cargo vans to deliver packages to locations at a 75-mile radius
from the warehouse. If the distance to the delivery location is within 8 miles of the delivery boundary, a cargo van will still be used. The company
uses the other vehicles for any distance outside this range.
Write an inequality to represent the instances when a vehicle other than a cargo van is used, where x is the distance of a location from the warehouse.
Given that:
The company uses its cargo vans to deliver packages to locations at a 75-mile radius from the warehouse.
If delivery location is within 8 miles of the delivery boundary, a cargo van will still be used.
To find: The inequality to represent the instances when a vehicle other than a cargo van is used.
Solution:
Let x is the distance of a location from the warehouse.
Cargo van will be used if delivery location is within 8 miles of the delivery boundary.
Minimum distance for delivery = 75-8 = 67 miles.
Maximum distance for delivery = 75+8 = 83 miles.
So, the company uses cargo vans for any distance in the range 67 miles to 83 miles. So,
[tex]67\leq x\leq 83[/tex]
Therefore, the required inequality is [tex]67\leq x\leq 83[/tex].
Which expression would represent the cost of one CD, if the total cost for three of them is $36?
36-3
3(36)
36/3
3 + 36
Given that:
Total cost for three CD = $36
Number of CD = 3
To find:
The expression that will represent the cost of one CD.
Solution:
We know that formula, to find the cost of each unit.
[tex]\text{Cost of each unit }=\dfrac{\text{Total cost}}{\text{Number of units}}[/tex]
Using this formula, we get
[tex]\text{Cost of each CD}=\dfrac{\text{Total cost for three CD}}{\text{Number of CDs}}[/tex]
[tex]\text{Cost of each CD}=\dfrac{36}{3}[/tex]
The required expression for cost of one CD is [tex]\dfrac{36}{3}[/tex].
Therefore, the correct option is C.
Answer
its 36/3
Step-by-step explanation:
Why is the answer true?
Hello, one way to see it is as below
[tex]\displaystyle F(2)-F(1)=\int_1^2 F'(t) dt=\int_1^2 G'(t) dt=G(2)-G(1)[/tex]
Another way is to notice that F'(x)=G'(x) means that F(x) and G(x) are only different from a real constant that we can note a, it means that
[tex](\forall x \in \mathbb{R}) \ (F'(x)=G'(x)) => (\exists a \in \mathbb{R});(F(x)=G(x)+a)[/tex]
and then F(2)-F(1)=G(2)-G(1)
thanks
Help me out here brothers.
Answer:
x = 4
Step-by-step explanation:
1. Find the degree measure of the unknown angle:
90-68 = 22 degrees
2. Find the appropriate slope ratio:
22 degrees = 2/5
3. Redraw the right triangle on a coordinate plane with the right angle on the origin if you have trouble visualizing the next step.
4. 2/5 = rise/run = x/10
2/5 = x/10
x = 4
A prime factor is a factor that is also a prime number. Create a factor tree for 200 and list the prime factor for 200. Send. Help.
Answer:
Step-by-step explanation:
200 ; 2^3 x 5^2
please help me with math
Hey there! I'm happy to help!
A proportional relationship is a straight line that passes through the origin, which is (0,0). If you look at Graph 3, it looks like the line is straight, but it does not look like it will pass through (0,0). Therefore, Graph 3 does not show a proportional relationship.
Graph 4, however, does look like straight line and it does look like it will pass through (0,0). Therefore, Graph 4 does show a proportional relationship.
Have a wonderful day! :D
Answer:
4)
Step-by-step explanation:
3)
this relationship isn't a proprtional relationship since it does't pass through (0,0)
')
this relationship is a proportional relation since it is a straight line that passes through (0,0)
6/9 is a rational number. Select all the rational numbers that are equivalent to 6/9
Answer:
There will be lots
Step-by-step explanation:
It is actually infinite.
Find the standard equation of the line parallel to 2x – 4y + 3 = 0, which passes through (-1, 4).
Answer:
Step-by-step explanation:
-4y = -2x - 3
y = 1/2x + 3/4
y - 4 = 1/2(x + 1)
y - 4/2 = 1/2x + 1/2
y = 1/2x + 5/2
URGENT HELP ME PLEASE
1) Develop the LOGARITHM PROPERTIES AND SOLVE THE EQUATIONS:
a-) log3 (81.3) =
b-) log5 (625.25) =
c-) log2 64/8 =
d-) log464/16 =
e-) log6 (364) =
f-) log (1003) =
Answer:
(a)[tex]\log_3(\dfrac{81}{3})=3[/tex]
(b)[tex]\log_5(\dfrac{625}{25})=2[/tex]
(c)[tex]\log_2(\dfrac{64}{8})=3[/tex]
(d)[tex]\log_4(\dfrac{64}{16})=1[/tex]
(e)[tex]\log_6(36^4)=8[/tex]
(f)[tex]\log(100^3)=6[/tex]
Step-by-step explanation:
Let as consider the given equations are [tex]\log_3(\dfrac{81}{3})=?,\log_5(\dfrac{625}{25})=?,\log_2(\dfrac{64}{8})=?,\log_4(\dfrac{64}{16})=?,\log_6(36^4)=?,\log(100^3)=?[/tex].
(a)
[tex]\log_3(\dfrac{81}{3})=\log_3(27)[/tex]
[tex]\log_3(\dfrac{81}{3})=\log_3(3^3)[/tex]
[tex]\log_3(\dfrac{81}{3})=3[/tex] [tex][\because \log_aa^x=x][/tex]
(b)
[tex]\log_5(\dfrac{625}{25})=\log_5(25)[/tex]
[tex]\log_5(\dfrac{625}{25})=\log_5(5^2)[/tex]
[tex]\log_5(\dfrac{625}{25})=2[/tex] [tex][\because \log_aa^x=x][/tex]
(c)
[tex]\log_2(\dfrac{64}{8})=\log_2(8)[/tex]
[tex]\log_2(\dfrac{64}{8})=\log_2(2^3)[/tex]
[tex]\log_2(\dfrac{64}{8})=3[/tex] [tex][\because \log_aa^x=x][/tex]
(d)
[tex]\log_4(\dfrac{64}{16})=\log_4(4)[/tex]
[tex]\log_4(\dfrac{64}{16})=1[/tex] [tex][\because \log_aa^x=x][/tex]
(e)
[tex]\log_6(36^4)=\log_6((6^2)^4)[/tex]
[tex]\log_6(36^4)=\log_6(6^8)[/tex]
[tex]\log_6(36^4)=8[/tex] [tex][\because \log_aa^x=x][/tex]
(f)
[tex]\log(100^3)=\log((10^2)^3)[/tex]
[tex]\log(100^3)=\log(10^6)[/tex]
[tex]\log(100^3)=6[/tex] [tex][\because \log10^x=x][/tex]
Does this table represent a function? why or why not ?
Answer:
C. Yes, because every x-value corresponds to exactly one y-value.
in basenall, the strike zone is region a baseball needs to pass through for the umpire to declare it a strike when the batter does not swing. the top of the strike zone is horizontal plane shoulders and the top of the uniform pants when the player in a batting stance. Find the height of T
Complete Question
The complete question is shown on the first uploaded image
Answer:
The value is [tex]T = 51 \ inches [/tex]
Step-by-step explanation:
From the diagram we can obtain the the height of T as follows
[tex]T = \frac{60 + 42 }{2}[/tex]
Answer:
51 inches
Step-by-step explanation:
By definition of midpoint, 42 through T + T through 60 is congruent to each other.
So, we can add 42+60 together to get the total distance. This is 102.
Next, we divide 102 by 2 because as mentioned since T is the midpoint, each "segment" is exactly 2 halves, they are congruent to each other.
102/2= 51 inches.
hope that helped :)