Answers
Based on the fact that the triangles are similar, the length of x is 7.2 cm and the length of y is 7.4 cm
How to find the lengths?If the triangles are similar then it means that the difference between their dimensions can be found by a scale factor.
The scale factor is:
= Dimension of larger similar side / Dimension of smaller similar side
= 11.6 / 5.8
= 2
With a scale factor of 2, then x is:
= 3.6 x 2
= 7.2 cm
The value of y would be:
= 14.8 / 2
= 7.4 cm
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Related Questions
Graph the line that represents a proportional relationship between d and t with the property
that an increase of 5 units in t corresponds to an increase of 8 units in d.
What is the unit rate of change of d with respect to t? (That is, a change of 1 unit in t will
correspond to a change of how many units in d?)
The unit rate is
Graph the relationship.
-9-8
9
8-
7+
6-
5
44
3
2
1
+2+
-3-
-4+
-5-
-6-
-7
-8-
-9-
Answers
The proportional linear equation relationship has a unit rate of 1.6
How to plot the graph the line of the relationship?From the question, we have the statement to be:
The relationship between d and t is a proportional relationship An increase of 5 units in t causes an increase of 8 units in d.The above means that
5 * t = 8* d
Evaluate the products
So, we have the following equation
5t = 8d
Divide both sides of the equation by 5
So, we have the following equation
t = 1.6d
Next, we plot the graph of the equation
See attachment for the graph of the equation t = 1.6d
Also, we have
t = 1.6d
The above equation is a proportional linear equation
A proportional linear equation is represented as
t = md
Where m represents the unit rate
So, we have
m =1.6
Hence, the unit rate of the relationship is 1.6
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Use digits and symbols to write ''The product of one and two is less than the sum of one and two''
Answers
Answer:
1 + 3 < 1 · 2
Step-by-step explanation:
-2x + absoulute value of y
x= -1/2
y= 6/5
Answers
Answer:
please rate as brainliest
can someone help me outt plsss
Answers
Answer: 4.91(6)7
Step-by-step explanation:
divide 59/12 to get decimal form, also the 6 inside the brackets just mean the 6 repeats
3 5/11 s a decimal exspansion
Answers
By rational number algebra, the mixed number 3 5 / 11 is equivalent to the decimal expansion 3.[tex]\overline {45}[/tex].
How to transform a mixed number into a decimal number
According to the statement, we find a mixed number, that is, a notation to represent rational numbers that combines both integers and fractions. The procedure to obtain the decimal form of a mixed number is:
Transform the mixed number into a single rational number by using the following formula:a b / c = (a · c) / c + b / c, where a, b, c are integers and a ≠ 0.Divide the single rational number.
Then, the decimal expansion of the mixed number 3 5 / 11 is:
3 5 / 11 = (3 · 11) / 11 + 5 / 11 = 33 / 11 + 5 / 11 = 38 / 11 = 3.[tex]\overline {45}[/tex]
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Pls help with this question
Answers
Answer:
3
Step-by-step explanation:
[tex]4x^6 y^3 - 3x^6 y^3 + 2x^2 y^2 - x^6 y^3 - x^2 y^2 +y \\ \\ =x^2 y^2+y \\ \\ =(-2)^2 (-1)^2 -1 \\ \\ =4-1 \\ \\ =3[/tex]
What is the equation of the line that passes through the point (-1, 5) and
has a slope of -3?
Answers
Answer:
Equation of line is given as y = mx + c, where m is the slope and c is the y-intercept.
Since slope is -3, equation is y = -3x + c.
Substitute point (-1,5) into equation to find c.
5 = -3(-1) + c
c = 2
Hence, equation of line is y = -3x + 2
The two legs of a right triangle are 9 and 7. Find the hypothesis of the triangle. Draw a Picture! Leave your answer in radical form.
Answers
The value of the hypotheses of the right angled triangle is found as √130.
What is meant by the right angled triangle?A right triangle is one in which one of interior angles is 90°. The hypotenuse is the longest side of the right triangle and also the side opposite this same right angle, while the height and base are the two arms of the right angle.In a right triangle, the right angle always has the largest.The longest side is the hypotenuse, which is the side opposite this same right angle.For the given right angled triangle,
The two side legs are given as 7 and 9.
By the Pythagorean theorem;
H² = P² + B²
Put the values;
H² = 7² + 9²
Simplifying;
H² = 49 + 81
H² = 130
Taking square root both sides.
H = √130
Thus, the value of the hypotheses of the right angled triangle is found as √130.
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Segment BD bisects ZABC. Solve for 2. Round to the nearest tenth, if necessary.
(Image not necessarily to scale.)
Answers
Answer:
x = 10.5 units=================================
Angle bisector theorem:
An angle bisector of a triangle divides the opposite side into two proportional parts as the two sides of same angle.Applying to the given triangle:
AB / BC = AD / DC, orx / 14 = 6 / 8Solve it for x:
x = 14*6/8x = 10.5A(2h, h), B(p, t), and C(2p, 3t) are three points on a straight line. B divides AC internally in the ratio 2 : 3. Express p in terms of t.
Answers
p expressed in terms of t is -2t.
What is the section formula?The formula used to calculate the coordinates of a point on a line segment that divides it into two segments is referred to as the section formula. Let's imagine that the line segment marked with the coordinates A (x₁,y₁) and B(x₂,y₂) has a point P(x,y) that splits it in the ratio m:n. We employ the section formula, which is mathematically defined to determine the coordinates of P.[tex]P(x,y) = (\frac{mx_{2} + nx_{1} }{m+n} ),(\frac{my_{2} + ny_{1}}{m+n} )[/tex]
Given points on the straight line are A(2h, h), B(p, t), and C(2p, 3t).
B divides AC internally in the ratio 2 : 3.
Using the section formula, we determine the coordinates of B
[tex]B(p,t) =(\frac{2*2p + 3*2h}{2+3} ),(\frac{2*3t+ 3h}{2+3} )[/tex]
[tex]B(p,t) =(\frac{4p + 6h}{5} ),(\frac{6t+ 3h}{5} )[/tex]
Equate the points,
[tex]p =\frac{4p+6h}{5}[/tex]
[tex]5p = 4p +6h[/tex]
[tex]p =6h[/tex]
[tex]t= (\frac{6t+ 3h}{5} )[/tex]
[tex]5t = 6t +3h[/tex]
[tex]t = -3h[/tex]
[tex]h =\frac{t}{-3}[/tex]
So, [tex]p =6h = \frac{6t}{-3} = -2t[/tex]
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Allen decides to make 3 cups of dark orange paint and 3 cups of light orange paint. How many ounces of yellow paint does he need
Answers
US cup US fluid ounce
Have an awesome day :)
Rational or Irrational
Answers
Answer:
rational : improper fractions,
mixed numbers
decimals that either ternimate or repeat,
irrational : decimals that do not terminate or repeat,
negative integers
Julia had pizza delivered. Julia tips $5 for deliveries or 10% of the purchase, whichever is higher. The pizza delivered cost $35.50.
How much will Julia tip?
Answers
10% of $35.50 = 0.10*35.50 = 3.55
If Julia goes with the 10% option, then she will tip $3.55
But she instead goes with the $5 tip because it's the larger of the two options. If the result of 10% of $35.50 was larger than 5, then she'd go with the 10% option instead.
Answer: $5if f(x)=x^2, what is g(x)? the graph shows the points: (1, -1), (-1,3), (-3,-1)?
Answers
IMAGE OF QUESTION
ANSWER
[tex]g(x)=-(x+1)^2+3[/tex]EXPLANATION
We have that the function graphed g(x) is a transformation of:
[tex]f(x)=x^2[/tex]When the parent quadratic function f(x) is transformed, it takes the following form:
[tex]g(x)=a(x-h)^2+k[/tex]This form also represents the vertex form of a quadratic equation, where (h, k) is the vertex of the function.
This means that we can find the function by using the vertex of the function.
The vertex of a function is the maximum or minimum value of the function; from the given graph, it is a maximum value and it is located at:
[tex](h,k)=(-1,3)[/tex]Therefore, we can input this into the vertex form of the function:
[tex]\begin{gathered} g(x)=a(x-(-1))^2+3 \\ g(x)=a(x+1)^2+3 \end{gathered}[/tex]Now, we have to find the value of a. To do this, pick any coordinate point from the graph and input it into the function above.
Let us pick:
[tex](0,2)[/tex]Therefore, we have:
[tex]\begin{gathered} 2=a(0+1)^2+3 \\ 2=a\cdot1+3 \\ 2=a+3 \\ \Rightarrow a=2-3 \\ a=-1 \end{gathered}[/tex]Therefore, the function graphed above is:
[tex]g(x)=-(x+1)^2+3[/tex]Joven's scores in five of his quizzes in mathematics are 85, 88, 95, 86, and 92. if he needs an average quiz grade of 90 to be able to maintain his required grade for his scholarship, what score must he get for his sixth quiz?
Answers
Answer:
If, he got 94 marks for his sixth quiz, then, he will be able to maintain his required grade for his scholarship.
Step-by-step explanation:
given-
Joven's scores in five of his quizzes in mathematics are 85, 88, 95, 86, and 92.
let, the x score he gets for his sixth quiz.
then, he will be able to maintain his required grade for his scholarship.
he needs an average quiz grade of 90 to maintain his required grade for his scholarship.
according to the question--
using the formula of average=>
(85+88+95+86+92+x)/6=90
=>x=540-446
=>x=94
if, he got 94 marks for his sixth quiz, then, he will be able to maintain his required grade for his scholarship.
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What is the measure of
Answers
Answer:
180-90=90
90-x=6x+40
90-40=6x+x
30=7x
x=4.28
input x:
6(4.28)+40
=60.71
Find an nth-degree polynomial function with real coefficients satisfying the given conditions. If you are using a graphing utility, use it to graph the function and verify the real zeros and the given function value. N=3; -3 and 4+4i are the zeros; f(-1)=82
Answers
The polynomial function is f(x) = x³ - 5x² + 8x + 96.
We have to find a polynomial of degree 3.We are given that the polynomial has -3, 4-4i, and 4+4i as its roots.We are also given that f(-1) equals 82.If x = -3 is a root, then:(x+3) is a factor of the polynomial.If x = 4-4i is a root, then:(x-4+4i) is a factor of the polynomial.If x = 4+4i is a root, then:(x-4-4i) is a factor of the polynomial.All the three roots are of the same polynomial.So, the polynomial is the product of these factors.f(x) = k(x+3)(x-4+4i)(x-4-4i)f(x) = k(x+3)[(x-4)² - (4i)²]f(x) = k(x+3)[x² + 16 - 8x + 16]f(x) = k(x+3)[x² - 8x + 32]f(x) = k[x³ - 8x² + 32x + 3x² - 24x + 96]f(x) = k[x³ - 5x² + 8x + 96]To find "k", we know that f(-1) = 82.f(-1) = k[(-1)³ - 5(-1)² + 8(-1) + 96]82 = k[-1 - 5 - 8 + 96]82 = k*82k = 1Thus, the polynomial is f(x) = x³ - 5x² + 8x + 96.To learn more about polynomials, visit :
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Complete each statement from the information given and state the reasons and the triangle criterion you used
Answers
[tex]\angle TIG \cong \angle AIN[/tex] by vertical angles, so [tex]\triangle TIG \cong \triangle NIA[/tex] by SAS.
the question is in the picture
Answers
Given
[tex]S=\mleft\lbrace1,2,3,4,5,6,7,8,9\mright\rbrace[/tex]by selecting two numbers from S, the number of possible outcomes is
[tex]n(S)=9\times9=81[/tex]Let E be the event that selecting two numbers randomly and their sum is 12 with replacement.
[tex]E=\lbrack(3,9),(4,8),(5,7),(6,6),(7,5),(8,4),(9,3)\}[/tex][tex]n(E)=7[/tex]The probability is
[tex]P(E)=\frac{n(E)}{n(S)}[/tex]Substitute values, we get
h is
[tex]P(E)=\frac{7}{81}[/tex]b)without replacement
Areplacementout
[tex]A=\mleft\lbrace(3,9\mright),(4,8),(5,7),(7,5),(8,4),(9,3)\}[/tex][tex]n(A)=6[/tex][tex]P(A)=\frac{n(A)}{n(S)}[/tex]Substitute the values, we get
[tex]P(A)=\frac{6}{81}=\frac{2}{27}[/tex]The probability that the sum is 12 if selecting two numbers without replacement
[tex]P(A)=\frac{2}{27}[/tex]anyone boredddddddddddd?
Answers
Answer:
gay
Step-by-step explanation:
gay gay gay gay gay gay
Answer: i am
Step-by-step explanation:Black parents
Chose the inequality shown by this diagram
Answers
Answer: C
Step-by-step explanation:
Open Circle: [tex]< , >[/tex]
Closed Circle: [tex]\leq ,\geq[/tex]
Gigi makes a scale drawing of a patio the drawing below shows the two scales she used to plan two patios of different sizes
Answers
Gigi makes a scale drawing of a patio the drawing, The two scales are
Scale 1 is defined as 35ft by 25ft Scale 2 is defined as 56 ft by 40 ftThis is further explained below.
What are dimensions?Generally, In mathematics, a dimension is a measurement that may be taken in one direction to determine the size or distance of an item, area, or space.
To put it another way, it is the process of determining the dimensions of anything by calculating its length, breadth, and height.
Actual ratio measurements with a scale of 1
For the Lenght
Length=7 cm
Length =7*5
Lenght=35 ft
Width=5 cm
Width=5*5
Width=25 ft
Therefore
The dimensions are 35 ft by 25 ft
Find the actual dimensions of a ratio with the scale 2
A scale of 2 is equal to
1 cm/8 ft
For Length=7 cm
L=7*8
L=56 ft
For Width=5 cm
W=5*8
W=40 ft
In conclusion, The dimensions are 56ft by 40f
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5 to the second power x [7 - 3] divided by 5
Answers
Answer:
Answer is 20 :).........
Is the relation in this graph a function?
Is the relation in this graph a function?
Answers
Answer:
the first is a function and the parabola is not a function
Step-by-step explanation:
A simple way to know why is the vertical line test.
Draw a vertical line and see whether if there are more than one point in the vertical line. If there's more than one point in the line then it's not a function, but if only one point on the vertical line it IS a function.
In the first graph, you'll notice that any vertical line you'll draw won't pass through two points ever. On the other hand, second graph will have two points found in the vertical line drawn by you, for example: (-2, 3);(-2, -3)
Wish you've enjoyed my answer because the more you enjoy maths, taste it, love it, and understand it, the more you will be successful in it. Good luck
a researcher conducts a study and finds that the difference between the population mean (μ) and the sample mean (m) is 4, the sample size (n) is 36, and the standard deviation of the population (σ) is 3.5. what is the value of cohen's d?
Answers
The value of cohen's d based on the population and the deviation given is 1.14.
How to calculate the value?It should be noted that based on the information, the researcher conducts a study and finds that the difference between the population mean (μ) and the sample mean (m) is 4, the sample size (n) is 36, and the standard deviation of the population (σ) is 3.5.
Sample mean = 4
Sample size = 36
Standard deviation = 3.5
Cohen D = Sample mean / Standard deviation
= 4 / 3.5
= 1.14
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If ACDE were reflected across the line y = x, what would be the coordinates of AC'D'E?
Answers
Answer: D
Step-by-step explanation:
Reflecting over the line y=x means [tex](x,y) \longrightarrow (y,x)[/tex].
[tex]C(1, -5) \longrightarrow C'(-5, 1)\\\\D(8, -2) \longrightarrow D'(-2, 8)\\\\E(7, -6) \longrightarrow E'(-6, 7)[/tex]
18 ÷ 6 = 3, therefore 18 ÷ 0.6 = 0.3.
True
False
Answers
Answer:
True but I could be wrong!
Step-by-step explanation:
When we divide 18 by 0.6 we get 30 not 0.3. However, 30 as a decimal is 0.3.
need help on this, thanks
Answers
Answer:
x=15, y=7
Step-by-step explanation:
Angles that form a linear pair are supplementary, so:
[tex]2(5x-5)+3x-5=180 \\ \\ 10x-10+3x-5=180 \\ \\ 13x-15=180 \\ \\ 13x=195 \\ \\ x=15 \\ \\ \\ \\ 5y+5+20y=180 \\ \\ 25y+5=180 \\ \\ 25y=175 \\ \\ y=7[/tex]
Answer:
[tex]x=\boxed{15}\\\\y=\boxed{7}[/tex]
Step-by-step explanation:
Angles on a Straight Line Theorem
The sum of angles on a straight line is equal to 180°.
Solving for x:
[tex]\boxed{\begin{aligned}2(5x-5)^{\circ}+(3x-5)^{\circ}&=180^{\circ}\\2(5x-5)+(3x-5)&=180\\10x-10+3x-5&=180\\13x-15&=180\\13x-15+15&=180+15\\13x&=195\\13x \div 13 &=195\div 13 \\x&=15\end{aligned}}[/tex]
Solving for y:
[tex]\boxed{\begin{aligned}(5y+5)^{\circ}+20y^{\circ}&=180^{\circ}\\(5y+5)+20y&=180\\5y+5+20y&=180\\25y+5&=180\\25y+5-5&=180-5\\25y&=175\\25y \div 25 &=175\div 25 \\y&=7\end{aligned}}[/tex]
Therefore:
[tex]x=\boxed{15}\\\\y=\boxed{7}[/tex]
pls help me solve these questions, i have no clue where to start
Answers
For given proof the missing statements are:
14 : NA + AL = NA + BM
15 : NL = NM
16 : Addition postulate of equality
In this question, we have been given a proof.
We need to write missing statements or reasons of the given proof.
We have been given NL ≅ NM and AL ≅ BM
We need to prove NA ≅ NB
1) NL ≅ NM; AL ≅ BM ................(Given)
2) NL = NA + AL and
NM = NB + BM ...........(Segment Addition Postulate)
3) NA + AL = NA + BM ...........(Subatitution)
4) NA + BM = NB + BM ..............(NL = NM)
5) NA = NB ............(Addition postulate of equality)
Therefore, for given proof the missing statements are:
14 : NA + AL = NA + BM
15 : NL = NM
16 : Addition postulate of equality
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the line passing through (8,7) and (6,5)
has the steepest possible slope. How do you know for
sure?
Answers
Answer:
find gradient:
5-7/6-8
=-2/-2
=1
1 is the steepest possible slope which is not undefined