Answer:2.5
Step-by-step explanation:
4+1/2-2=2 1/2 according to the formula
Consider the two triangles.
Triangles W U V and X Z Y are shown. Angles V U W and Y X Z are congruent. Angles U W V and X Z Y are congruent. Angles U V W and Z Y X are congruent. The length of side V W is 60 and the length of side Z Y is 48. The length of side Y X is 40 and the length of V U is 50. The length of side U W is 40 and the length of X Z is 32.
How can the triangles be proven similar by the SSS similarity theorem?
Show that the ratios StartFraction U V Over X Y EndFraction , StartFraction W U Over Z X EndFraction , and StartFraction W V Over Z Y EndFraction are equivalent.
Show that the ratios StartFraction U V Over Z Y EndFraction , StartFraction W U Over Z X EndFraction , and StartFraction W V Over X Y EndFraction are equivalent.
Show that the ratios StartFraction U V Over X Y EndFraction and StartFraction W V Over Z Y EndFraction are equivalent, and ∠V ≅ ∠Y.
Show that the ratios StartFraction U V Over Z Y EndFraction and StartFraction W U Over Z X EndFraction are equivalent, and ∠U ≅ ∠Z.9.8 inches
The ratios StartFraction U V Over Z Y EndFraction , StartFraction W U Over Z X EndFraction , and StartFraction W V Over X Y EndFraction are equivalent.
Similarity theorem of trianglesFor two triangles to be similar, the ratio of the measure of similar sides of the triangle must be equal to a constant known as a scale factor.
From the given figures, the expression that can be used to prove that the triangles are similar is as shown;
UV/ZY = WU/ZX = WV/XY
Hence the correct option is to show that the ratios StartFraction U V Over Z Y EndFraction , StartFraction W U Over Z X EndFraction , and StartFraction W V Over X Y EndFraction are equivalent.
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Which of the following has no inverse?
a) y=√x
b) y=x³
c) y=x²
d) y=x
NEED TO KNOW ASAP
Which of the following is a quadratic inequality?
Oy<2x+7
Oy
Oy
Answer:
(c) y < x^2 -5x
Step-by-step explanation:
A quadratic inequality is one that involves a quadratic polynomial.
IdentificationThe degree of a polynomial is the value of the largest exponent of the variable. When the degree of a polynomial is 2, we call it a quadratic.
For the following inequalities, the degree of the polynomial in x is shown:
y < 2x +7 . . . degree 1y < x^3 +x^2 . . . degree 3y < x^2 -5x . . . degree 2 (quadratic)ApplicationWe see that the degree of the polynomial in x is 2 in ...
y < x^2 -5x
so that is the quadratic inequality you're looking for.
__
Additional comment
When a term involves only one variable, its degree is the exponent of that variable: 5x^3 has degree 3. When a term involves more than one variable, the degree of the term is the sum of the exponents of the variables: 8x^4y3 has degree 4+3=7.
Who can help me to solve these questions please?
a) calculate the length of QR
b) calculate the area of trapezium PQRS.
Thanks for helping.
Using the given information, length of QR = 16.6 cm
The area of the trapezium is 304.5 cm²
Calculating area of a trapeziumFrom the question we are to calculate the length of QR and the area of trapezium PQRS
In the given diagram,
Let the midpoint of PS be T
Then, we can write that
|OP|² = |OT|² + |PT|² (Pythagorean theorem)
|OP| = radius = 13 cm
|PT| = 1/2 × PS = 1/2 × 24 cm = 12 cm
∴ 13² = |OT|² + 12²
169 = |OT|² + 144
|OT|² = 169 -144
|OT|² = 25
|OT| = √25
|OT| = 5 cm
Also, let the midpoint of QR be U
Then, we can write that
|OQ|² = |OU|² + |QU|² (Pythagorean theorem)
|OQ| = radius = 13 cm
From the given information,
The distance of QR from O is twice the distance of PS from O
∴ |OU| = 2 × |OT|= 2 × 5 cm = 10cm
Thus,
13² = ||² + 12²
169 = 10² + |QU|²
|QU|² = 169 -100
|QU|² = 69
|QU| = √69
|QU| = 8.3 cm
Now,
Length of QR = 2 × |QU| = 2 × 8.3 cm
Length of QR = 16.6 cm
b)
Area of the trapezium = 1/2(|QR| + |PS|) × |TU|
Area of the trapezium = 1/2(16.6 + 24) × 15
NOTE: |TU| = |OT| + |OU|
Area of the trapezium = 1/2(40.6) × 15
Area of the trapezium = 20.3 × 15
Area of the trapezium = 304.5 cm²
Hence, the area of the trapezium is 304.5 cm²
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In a triangle If angle c is 40 degrees and angle a is 75 degrees what is angle b
Answer:
65°
Step-by-step explanation:
The sum of the internal angles of a triangle is 180°
40° + 75° + b° = 180°
115° + b° = 180°
b° = 180° - 115°
b° = 65
Please answer with everything needed i appreciate everyones help:0)
Answer:
C
Step-by-step explanation:
please mark brainliest
Answer:
the 3rd answer option
Step-by-step explanation:
why ?
similar to the other questions.
we know the total number of coins, which is a sum of quarters and dimes. nothing else is in there.
so,
16 = q + d
and each type of coin has a defined value : a quarter is $0.25, a fine is $0.10.
and so, when you add up the value of all quarters and all dimes you get $3.10.
This too!! Once again, thank you!
Answer:
For question 3, the slope would be -5
Step-by-step explanation:
If you wanted to graph this you would have to plot one of the points that is already given. Then from that point, you would move 5 units down and 1 unit to the right. If you run out of space, you can go to the other direction by going 5 units up and 1 to the left.
Hope this helps :)
pls help: a small garden has a perimeter of 24 1/4 ft. If the length is 8 ft, what is the area of the garden.
Answer:
578 sq ft
Step-by-step explanation:
he length of a rectangular garden is twice its width and its area is 578 square feet.
What is p ÷ r equal to?
tan x°
tan y°
sin y°
cos x°
Answer: tan x
Step-by-step explanation: An angle determines if a side is opposite the angle, or adjacent the angle. Since p/a is something to do with the tangent, as it is not using the hypotenuse (the longest side.) Tangent is Opposite/Adjacent, while Sine is Opposite/Hypotenuse and Cosine is Adjacent/Hypotenuse. The only thing that makes sense is tangent.
So, that leaves us with either tan y or tan x. Well, with x, the angle that x points to (which is the opposite side) is p, and the adjacent is a, so p/a must be Tangent(x) since it is Opposite/Adjacent sides.
Only if it was r/p would it be tan y, since r becomes the opposite and p becomes the adjacent.
What is y
Someone please help
In the given diagram, the value of y is 53°
Circle GeometryFrom the question, we are to determine the value of y
The angle subtended by the arc is 74°. This is the angle the arc subtends at the center of the circle.
Then,
74° + y + y = 180° (Sum of angles in a triangle)
74° + 2y = 180°
2y = 180° - 74°
2y = 106°
y = 106°/2
y = 53°
Hence, the value of y is 53°
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please help ASAP!!!
66. Jane has determined that 169 < x < 196. What
must be true about √x?
A. 13 < x < 14
B. 84.5 < x < 98.0
C. 338 < x < 392
D. 28, 561 < x < 38,416
Answer:
A. 13 < X < 14
Step-by-step explanation:
Because x is square rooted, that means the other values inside the equation will also be square rooted. If we square root 169, that would be 13 & since there is only one option with 13, the answer will be A.
The exterior angle of a regular polygon is 225 degree find the number of sides
Answer:
1.6sides
Step-by-step explanation:
Sum of total exterior angle/One exterior angle
360/225=1.6sides
May someone help me please?
When a number is divided b 7, the quotient is 247 and the rimainder is 3,what is the number
The number, which on divided by 7 gives a quotient of 247 and a remainder of 3 is 1732. Computed using linear equations.
In the question, we are informed that a number when divided by 7, gives a quotient of 247 and a remainder of 3.
Assuming the number to be x.
We can say that x is our dividend, 7 is the divisor, 247 is the quotient, and 3 is the remainder.
The division algorithm equation is:
Dividend = Divisor*Quotient + Remainder,
Substituting values in this equation, we get a linear equation:
x = 7*247 + 3.
To solve for the unknown number x, we solve the equation as follows:
x = 7*247 + 3,
or, x = 1729 + 3,
or, x = 1732.
Thus, the number, which on divided by 7 gives a quotient of 247 and a remainder of 3 is 1732. Computed using linear equations.
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Barry grows apples, blueberries, grapes, and zucchini on his farm. He sells his grapes for $3.50 per pound. How much money did he make selling grapes on Saturday and Sunday?
A)$52.50
B)$108.50
C)$101.50
D)$49.00
Answer:
ok so this might look confusing what you have to do is just ignore part of the problem in this one just ignore apples, blueberries and zucchini their not important
on saturday it looks like he sold 14 pounds on sunday 15 pounds
14+15=29
and each pound is 3.50 so
29*3.5= 29*3+29*0.5
29*3=87
29*0.5=14.5
87+14.5=101.5
c
Hope This Helps!!!
Find last year's salary if, after a 4% pay raise, this year's salary is 31,720
Answer:
30500[tex].[/tex]
Step-by-step explanation:
104%=31,720
100%= x
[tex]\frac{(31720)(100)}{104}=30500[/tex]
Quick algebra 1 question for 50 points! :)
Answer:
a. $6
b. the point (1,6)
c. slope of line is y=6x, plug in 1 as x
Step-by-step explanation:
Answer:
Adam deposit $6 each week
I determined the answer, based on the point (1,6)
For question c, slope of line is y = 6x because 1 will not count in here
Step-by-step explanation:
When I was in Algebra 1, I did get this similar question.
Which of the following is an arithmetic sequence?
0, 2, 4, 6, ...
1, 2, 4, 8, ...
1, 4, 8, 13, ...
Answer:
A
Step-by-step explanation:
an arithmetic sequence is a sequence that is increasing or decreasing by a constant number (addition)
Which is a stretch of an exponential decay function?
ofx= [*
O
○ f(x) = -—-—-(5)*
|_ f(x) = 5(---)*|
O
Of(x) = 5(5)*
Which of the following is the equation for the graph shown?
The equation of an ellipse for the graph shown is [tex]\frac{x^2}{5^2} + \frac{y^2}{21^2} = 1[/tex]
How to determine the equation?Since the given coordinates of the vertices and foci have the form (-5, 0) and (5, 0) and (-2, 0) and (2, 0) respectively, this ultimately implies that the major axis of this ellipse is the x-axis.
Thus, the standard form of the equation of this ellipse is given by:
[tex]\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1[/tex]
Next, we would solve for b² by using this equation:
b² = a² - c²
b² = 5² - 2²
b² = 25 - 4
b² = 21.
Substituting the parameters into the standard equation of an ellipse, we have;
[tex]\frac{x^2}{5^2} + \frac{y^2}{21^2} = 1[/tex]
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What is root -9 + root -12 written as a complex number in the form a + bi ?
Answer:
Step-by-step explanation:
I assume you are talking about square roots when you say root...
Sqrt(-9) = 3i
Sqrt(-12) = 2Sqrt(3)i
Complex number is 3 + 2Sqrt(3) i
25 POINTS
What is the next term of the geometric sequence? -1/7, 4/7, -16/7
Answer:
64/7
Step-by-step explanation:
Each term is multiplied by -4 (a number not a fraction as the denominator stays the same each time).
[tex]\frac{-16}{7} *\frac{-4}{1}= \frac{64}{7}[/tex]
Answer
64/7
Step-by-step explanation:
Khan <3
In the grocery store, a trolley can hold 20 lbs of groceries. annie put 12 lbs 8 oz of groceries on the trolley. how much more weight can the trolley hold ?
7 lbs 8 oz more weight can the trolley hold the trolley can hold 20 lbs of groceries and Annie put 12 lbs 8 oz of groceries on the trolley. This can be obtained by converting the values to oz and subtracting them.
How much more weight can the trolley hold ?We know that, 1 lbs = 16 oz
Capacity of the trolley = 20 lbs
= 20 × 16 oz
= 320 oz
Weight put in the trolley = 12 lbs 8 oz
= ( 12 × 16 ) + 8 oz
= 192+8 oz
= 200 oz
Remaining weight that the trolley can hold = 320 oz - 200 oz
= 120 oz
= (7 × 16) + 8 oz
= 7 lbs 8 oz
Hence 7 lbs 8 oz more weight can the trolley hold the trolley can hold 20 lbs of groceries and Annie put 12 lbs 8 oz of groceries on the trolley.
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Jun wei has 12 more 10 cents coins than 20 cents coins. the total value of all the coins is $5.40. find the total number of coins he has.
Jun Wei has a total of 40 coins. An algebraic expression or equation with the given information is formed to calculate the total number of coins.
What is an algebraic expression?An algebraic expression is the combination of one or more variables, coefficients, and constants separated by operators. Each of them is called terms of the expression.
Eg: a + 6x + 5y + 2
Here there are 4 terms with 3 variables, 3 coefficients, and one constant.
Calculation:Given that,
Jun Wei has 12 more 10 cents coins than 20 cents coins.
So,
Consider the number of 20-cent coins = x
Then, the number of 10 cent coins = x + 12
It is given that the total value of all the coins is $5.40.
Where 1 $ = 100 cents. That implies, $5.40 = 540 cents
So,
the total value of the coins = 540 cents
⇒ 20(x) + 10(x + 12) = 540
⇒ 30x = 540 - 120
⇒ 30x = 420
∴ x = 40
Hence, there are 40 coins with Jun Wei.
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What is the effect of multiplying the parent function f(x) = x ^ 2 by a positive constant?
Effect of multiplying the parent function f(x) = x ^ 2 by a positive constant, we get a function whose graph is stretched or compressed vertically in relation to the graph of the original function.
What happens when we multiply a parent function with a positive constant?A parent function in mathematics is the simplest function in a family of functions that preserves the concept of the entire family.When we multiply a function by a positive constant, we get a function with a graph that is stretched or compressed vertically in comparison to the original function's graph. If the constant is larger than one, we get a vertical stretch; otherwise, we get a vertical compression.Therefore, the effect of multiplying the parent function f(x) = x ^ 2 by a positive constant, we get a function whose graph is stretched or compressed vertically in relation to the graph of the original function.
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How do the angle measures of polygon ABCD compare with the angle measures in the reflected image? How do the side lengths compare? What can you say about the preservation of the angle measurements and side lengths of a shape during a reflection?
The measures of the angles ABCD are the same as the measures of the angles that is corresponding based on the reflected images.
How to show that the angles are equalBased on the fact that this is a reflection, the angles would be equal measures.
What this means is that there is a preservation of the of the reflected image. This is the same logic for the length of the sides.
The reflection is known to be a rigid type of transformation that is known to have its angles and sides preserved.
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Answer:
The measures of the interior angles of polygon ABCD are equal to the measures of the corresponding angles in the reflected image. This means that angle measurements of the polygon are preserved as the image is reflected. The same is true for the side lengths. The measures of both angles and sides are preserved in a reflection. A reflection is a rigid transformation.
Step-by-step explanation:
Edmentum sample answer
PLEASE give me the answer to #26 -#29
Answer:
26. y= 3/1 x + c
27. m = 1 so eqn will be y = 1x + c
Step-by-step explanation:
find the slope if not given and then use the eqn,
y= mx + c
where m is slope and c is y intercept
If 9/16 represents the ratio of the areas of two similar triangles, the ratio of the
corresponding
sides would be:
True or False? If ab>0, then a>0, b>0 or a<0, b<0
Answer:
true
2. If ab = 0, then a = 0 or b = 0. This statement is true. It is a property of the real numbers which was stated in class
Write 4 fractions that are equivalent to 6/8.
Answer:
6/8 is an equivalent fraction of 3/4.
We can find some other equivalent fractions by multiplying the numerator and the denominator of the given fraction by the same number. Thus, the equivalent fractions of 3/4 are 6/8, 9/12, 12/16, and 15/20.
Answer:
below
Step-by-step explanation:
6/8 = 3/4, 9/12, 12/16 and 15/20