What additional information is needed to determine that ΔABC ≅ ΔEDC using the HL method of congruence?
Answers
Answer:
B
Explanation:
Given:
By using HL method of congruence, we can determine that triangle ABC is congruent to triangle EDC. HL method of congruence means that the two right triangles are congruent if the hypotenuse and one corresponding leg are equal in both triangles. Based on the given figure, we see taht the legs AB and DE are congruent. Next, we check for a pair of hypotenuses. So, we need AC congruent to EC.
Therefore, the additional information we needed using HL method of congruence is AC congruent to EC.
Related Questions
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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Mark wants to buy a new laptop that costs $699. He earns $65 for mowing lawns. What
is the minimum number of lawns he can mow to have enough money to buy the laptop?
Answers
Answer:
11 lawns
Step-by-step explanation:
$65 × 10 = $650
$695 - $650 = $45
So Mark will need to mow at least 11 lawns.
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]
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]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:
anyone boredddddddddddd?
Answers
Answer:
gay
Step-by-step explanation:
gay gay gay gay gay gay
Answer: i am
Step-by-step explanation:Black parents
I’m struggling with my guided notes practice questions
Answers
The shaded angles in the given diagram can be named as:
1. ∠ABC; ∠1; and ∠B.
2. ∠JKM; ∠2; ∠K.
3. ∠CBJ ≅ ∠DHG
4. ∠FJH ≅ ∠AJB
5. m∠JAB = 75°.
6. m∠JBC = 130°.
How to Name an Angle?We can name a given angle by:
Using the three letters that form the angle, i.e. ∠ABC.Naming the angle using numbers, i.e. ∠1By using the letter of the vertex of the angle only, i.e. ∠B.1. The three angles can be named as:
Angle ABC or ∠ABC
Angle 1 or ∠1
Angle ∠B or ∠B.
2. The shaded angle can be named as:
Angle JKM or ∠JKM
Angle 2 or ∠2
Angle ∠K or ∠K.
Two angles with the same marks on a diagram are congruent to each other. Therefore:
3. ∠CBJ ≅ ∠DHG
4. ∠FJH ≅ ∠AJB
Angles that are congruent to each other have the equal angle measure, therefore:
5. ∠EFD ≅ ∠JAB
Therefore, If m∠EFD = 75°, then m∠JAB = 75°.
6. ∠GHF ≅ ∠JBC
Therefore, If m∠GHF = 130°, then m∠JBC = 130°.
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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
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.
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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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
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
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
if 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]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 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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5 to the second power x [7 - 3] divided by 5
Answers
Answer:
Answer is 20 :).........
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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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 = 10.5Julia 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: $5Allen 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 :)
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
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]
Which statement is true about the graph of the line whose equation is y = 8?
Answers
Answer:
A. the line is parallel to the x axis
Step-by-step explanation:
B is incorrect because it will be intersecting the y axis therefore not being parallel
C is incorrect because It doesn't pass through the origin (origin is (0, 0) btw) it actually passes thru the point (0, 8) so this choice is wrong
D is incorrect because It doesn't give us enough info that the slope is 8 so we can't tell. Also if y = 8 it will just be a straight line so the slope will actually be 0 im pretty sure
A is correct because it is parallel if y = 8 and x axis kept going in a straight line they will never touch so that means it it parallel
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]
A plane flew at a constant speed between Boston and Philadelphia. An equation relating the distance traveled in miles, d, to the number of hours flying, t, is d=350t. How long will it take the airplane to travel 280 miles?
Answers
The time it take for the plane to travel at 280 miles is 0.8 hours.
How to find the time it will take the plane to cover a distance?The plane flew at a constant speed between Boston and Philadelphia.
An equation relating the distance travelled in miles, d, to the number of hours flying, t, is d = 350t.
Therefore,
d = 350t
where
t = time travelledd = distanceTherefore, let's find the time it will take to travel for 280 miles
d = 350t
d = 350 × t
280 = 350t
divide both sides by 350
t = 280 / 350
t = 0.8 hours
Therefore,
the time it will take to travel = 0.8 hours
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Chose the inequality shown by this diagram
Answers
Answer: C
Step-by-step explanation:
Open Circle: [tex]< , >[/tex]
Closed Circle: [tex]\leq ,\geq[/tex]
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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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.