What additional information is needed to determine that ΔABC ≅ ΔEDC using the HL method of congruence? answers: A) ≅ B) No additional information is needed. C) ≅ D) ∠ACB ≅ ∠ECD
Answers
Answer:
AC congruent to EC
Step-by-step explanation:
This problem is asking specifically to prove triangles congruent using HL.
HL is a method of proving triangles congruent. HL stands for Hypotenuse-Leg. If you can show that the hypotenuse and leg of one right triangle are congruent to the hypotenuse and leg, respectively, of another triangle, then the triangles are congruent.
Looking at triangle ABC and EDC, we see that the legs AB and ED are congruent. We already have a pair of corresponding congruent legs. Now we need a pair of hypotenuses.
You need AC congruent to EC.
Answer:
AC congruent to EC
Step-by-step explanation: I took the test
Related Questions
What is the following sum in simplest form?
√8 + 3 √2+ √ 32
A. 3 √8+ 3 √2
B. 5 √42
C. 9 √2
D. 5 √2 + √32
Answers
Answer:
C. 9√2.
Step-by-step explanation:
√8 + 3 √2+ √ 32
= √4 *√2 + 3√2 + √16*√2
= 2√2 + 3√2 + 4√2
= 9√2.
In the diagram below of circle o, chords AB and CD intersect at E.
If CE = 10, ED = 6, and AE = 4, what is the length of EB?
AWARDING MAX POINTS
Answers
Answer:
The length of EB is found 15
Step-by-step explanation:
As the diagram of the circle is not given in the question, I've found the diagram of the same question from internet and attached below. So that we can have a better understanding)
We can see in the diagram the chord AB and chord CD intersect each other at point E.
Each of the chord is divided into two segments.
According to the Intersecting Chords Theorem:
Products of the lengths of line segments on each chord are equal
Which means that
(AE)(EB) = (CE)(ED)
Substitute the given values;
(4)(EB) = (10)(6)
4(EB) = 60
EB = 15
Answer:
The length of EB is found 15
Step-by-step explanation:
As the diagram of the circle is not given in the question, I've found the diagram of the same question from internet and attached below. So that we can have a better understanding) We can see in the diagram the chord AB and chord CD intersect each other at point E. Each of the chord is divided into two segments. According to the Intersecting Chords Theorem: Products of the lengths of line segments on each chord are equal Which means that (AE)(EB) = (CE)(ED) Substitute the given values; (4)(EB) = (10)(6) 4(EB) = 60 EB = 15
What is the radius of a circle whose equation is (x + 5)2 + (y - 3)2 = 42?
2 units
4 units
8 units
16 units
Answers
Answer:
the answer is b, 4 units
Answer:
4
Step-by-step explanation:
quatro
Which operations are commutative and associative?
Answers
Answer:
Step-by-step explanation:
if there are two numbers a and b.then
1. a+b=b+a ,commutative under addition.
2. ab=ba,commutative under multiplication.
If there are three numbers a,b,c then
1. a+(b+c)=(a+b)+c,associative under addition.
2.
a×(b×c)=(a×b)×c ,associative under multiplication.
Answer: Addition and multiplication :)
What is a constant of proportionality in the equation 3y equals 2x?
Answers
Answer:
y=2/3x (y equals two-thirds x)
Step-by-step explanation:
3y=2x
(divide by 3 on both sides to get just the y value)
3/3y=2/3x
y=2/3x
Solve for x.
−6≥10−8x
Enter your answer as an inequality.
Answers
Answer:
x≥2
Step-by-step explanation:
-6≥10-8x
+6 +6
= 0≥16-8x
+8x +8x
= 8x≥16
/8 /8
= x≥2
Answer:
2≤x
Step-by-step explanation:
−6≥10−8x
Subtract 10 from each side
−6-10≥10-10−8x
−16≥−8x
Divide each side by -8, remembering to flip the inequality
-16/-8 ≤-8x/-8
2 ≤x
A. 5pi/6
B. 8pi/6
C. 3pi/6
D. 13pi/6
Answers
Answer:
Step-by-step explanation:
PLZ HELP ASAP WILL GUVE BRAINLIEST: Three times the sum of a number and four is 10 less than the same number. What is the number?
Answers
Answer:
6
Step-by-step explanation:
The algebraic expression 6x - 4 can
be written as which of the
following?
The product of six and a number x
decreased by four
x to the sixth power decreased by four
Six times a number x less than four
four less than six
Answers
Answer:
Six times a number x less than four less than six
The product of six and a number x decreased by four.
Given that,
The algebraic expression 6x - 4.
Based on the above information, the information is as follows:
Here 6x - 4 should be written like the product of x and the number x should be decreased by four.
Learn more: brainly.com/question/17429689
The interior angles of triangle ABC measure 34°, 63°, and xº. The Interior angles of
triangle DEF measure yº, 63°, and 83º.
Which statement is true?
The triangles are similar because y=34 and there are three pairs of congruent
angles.
The triangles are similar because they each have an interior angles that
measures 63º.
The triangles are not similar because x does not equal y.
The triangles are not similar because y does not equal 34º.
Answers
Answer:
the triangles are similar because y=34 and there are three pairs of congruent angles
Step-by-step explanation:
this is correct because all of the angles in a triangle add up to 180, so if y = 34 then 34 + 63 + 83 = 180
this also means x is equal to 83 which means both triangles share all of the same angle measures
F(x)=x^2+10 what is the average rate of change of f over the Interval [-2,-1]?
Answers
Answer: -3
Step-by-step explanation:
The average rate of change is [tex]\frac{f(b)-f(a)}{b-a}[/tex]. All we have to do is to plug in our values.
a=-2
b=-1
f(b)=f(-1)=(-1)²+10=11
f(a)=f(-2)=(-2)²+10=14
With our values listed, all he have to do is to plug them in.
[tex]\frac{11-14}{-1-(-2)} =\frac{-3}{1}=-3[/tex]
Solve the following system:
y = x + 3
3x + y = 19
O (7,4)
O(-4,7)
O (4,7)
O (4.-7)
Answers
Answer:
(4, 7) (third answer choice)
Step-by-step explanation:
In the system
y = x + 3
3x + y = 19
the first equation already gives y in terms of x. Thus we can substitute x + 3 for y in the second equation:
3x + (x + 3) = 19, which simplifies to:
4x = 16, yielding x = 4. Substituting 4 for x in the first equation, we get:
y = (4) + 3 = 7.
Thus, the solution is (4, 7) (third answer choice).
Kevin practices kicks for soccer he kicks 13 times at recess .he kicks 14 times after school. Then ke kicks 16 times before bes.how many practice kicks did kevin take in all
Answers
Answer:
43
Step-by-step explanation:
13+14+16=43
Answer:
43
Step-by-step explanation:
find the answer to the following
k(−1)= ?
Answers
Pls solve for x hurry !
Answers
Answer:
7
Step-by-step explanation:
7x + 68 = 2x + 103
Subtract 2x from each side
5x + 68 = 103
Subtract 68 from each side
5x = 35
divide 5 from 35 and you get X = 7
For f(x)=4x+1 and g(x)=x^2-5 , find (fg) (x) .
A.4x^3+x^2-20x-5
B.4x^3+x^2-5x-5
C.4x^3+x^2-4x-6
D.4x^2-19
Answers
Answer:
the answer is B.
4x^3+x^2-5x-5
Step-by-step explanation:
pls answer will reward with brinliest!!
Answers
Answer:
She will raise 6 dollars a week and the total donation will be 600 dollars.
Step-by-step explanation:
Answer: 1. she will raise $6 per week. 2) $600
Step-by-step explanation:
30/5 = 6 she will raised $6 per week.
so her total donation will be $200 because she is raising $30 more.
Now if her father matches the her total then she will now have $400 because her father doubles it.
Now her mother will also add the same amount which will make it $600
because $400 + $200 = $600.
Find the measurement of y
A-129°
B-130°
C-145°
D-134°
Answers
Answer: C
Step-by-step explanation: Since the angle measures of a heptagon measure up to 900, add all known angle measures. they equal to 755. 900 - 755 is 145.
Use Cavalieri’s principle to compare the volume of the cone and triangular pyramid.
A) cone has a larger volume
B) triangular prism has a larger volume
C) triangular prism has one-third the volume
D) cone and triangular prism have equal volumes
Answers
Answer:
D
Step-by-step explanation:
What angle measure is complementary to a 65 angle?
Answers
Answer:
x = 25
Step-by-step explanation:
Complementary angles add to 90 degrees
x+65 = 90
Subtract 65 from each side
x = 90-65
x = 25
The Definition of Complementary Angles states that if two angles are
complementary, then the sum of their measures is 90°.
To find the complement of an angle, we take 90 degrees minus the
measure of the angle which in this case 90° - 65° or 25°.
So the complement of the 65° angle measures 25°.
help please i did a problem like this and got it wrong i honestly think im confusing the closed and open dots. can some one just please help
Answers
Answer:
It should be a "closed" dot facing the left side (towards the negative numbers)
Step-by-step explanation:
The graph will be a line segment with endpoints -1 and 1. Both endpoints are closed dots. This is to indicate we include the endpoints as part of the solution set. Everything between the endpoints is shaded in.
The answer in interval notation is [-1, 1]. The square brackets tell the reader to include the endpoints. This describes the interval from -1 to 1, inclusive of the endpoints.
How do we know to include the endpoints or not? By looking at the "or equal to" portion. If that is present, then we include the endpoint; otherwise, we exclude.
The original inequality [tex]|x| \le 1[/tex] is the same as [tex]-1 \le x \le 1[/tex]
The general rule is [tex]|x| \le k[/tex] turns into [tex]-k \le x \le k[/tex] for some positive number k.
Evaluate 6 - 2(-1) + | -5 |
Answers
Answer:
13
Step-by-step explanation:
6 - 2(-1) + | -5 |
The absolute value means take the non-negative value
6 - 2(-1) + 5
Multiply
6 +2 + 5
Add
8+5
13
plz help ASAP will give brainliest!!!
Answers
Answer:
Step-by-step explanation:
5.25x +6 =74.25
5.25x = 74.25 -6
5.25x =68.25
x = 68.25÷5.25
x = 13
Answer:
x=13
Step-by-step explanation:
1) Subtract 6 from both sides.
2) Divide by 5.25 on both sides to get x on its own.
[tex]5.25x+6=74.25\\5.25x+6-6=74.25-6\\5.25x=68.25\\\frac{5.25x}{5.25} = \frac{68.25}{5.25} \\x=13[/tex]
You should draw a line of best fit for a scatter plot if there is no correlation among the data points. True False
Answers
Answer:
False
Step-by-step explanation:
N/A
Which function has zeros at x = 3 and x = 7?
Answers
Answer:
f(x)= (x-3)(x-7)
Step-by-step explanation:
When you give an exact answer for the volume of a cylinder, you will always have ____ in the answer.
Answers
Answer:
Step-by-step explanation:
height
Which is the equation of a line that has a slope of One-half and passes through point (2, –3)?
Answers
Answer: y=1/2x-4
Step-by-step explanation:
Since we are given the slope, we can use the slope-intercept form to find the y-intercept.
y=1/2x+b
-3=1/2(2)+b
-3=1+b
b=-4
Now that we know our y-intercept, we can fill in our slope-intercept equation.
y=1/2x-4
Answer:
a
Step-by-step explanation:
which of these can be rewritten as an exact answer without the square root symbol? √4 √125 √0.6 √12.35 Thank you :)
Answers
Answer:
[tex]\sqrt{4}[/tex]
Step-by-step explanation:
Because
→ [tex]\sqrt{4}[/tex] is equal to 2
→ [tex]\sqrt{125}[/tex] is equal to [tex]5\sqrt{5}[/tex] or 11.18033989
→ [tex]\sqrt{0.6}[/tex] is equal to [tex]\frac{\sqrt{15} }{5}[/tex] or 0.7745966692
→ [tex]\sqrt{12.35}[/tex] is equal to 3.514256678
Answer:
√4
Step-by-step explanation:
√4 = 2
The other ones can only be approximated:
√125 = 5√5 ≈ 11.18033
√0.6 ≈ 0.774597
√12.35 ≈ 3.51426
1. For each event state whether you think it is impossible,
very unlikely, unlikely, evens, likely, very likely or
certain.
a) Pick a club card from an ordinary pack of cards
b) Pick the ace of spades from an ordinary pack of cards
c) Tossing a coin and it landing on heads
d) I roll a dice and get a 7
e) Somebody you know is left handed
2. Give two examples of events with the following
probabilities.
a) Impossible
b) Unlikely
c) Certain
d) Likely
e) Very likely
Answers
Answer:
a) Pick a club card from an ordinary pack of cards
VERY LIKELY
b) Pick the ace of spades from an ordinary pack of cards
VERY UNLIKELY
c) Tossing a coin and it landing on heads
LIKELY
d) I roll a dice and get a 7
IMPOSSIBLE
e) Somebody you know is left-handed
LIKELY
a) Impossible
In flipping a coin once, an impossible event would be getting BOTH a head AND a tail.
b) Unlikely
The chance of snow in June in Florida
c) Certain
“Head or Tail' is a certain event connected with tossing a coin
d) Likely
The sharp knife will cut his finger
e) Very likely
Since it is sunny and hot, it is I will go to the pool today.
Answer:
a) Pick a club card from an ordinary pack of cards
VERY LIKELY
b) Pick the ace of spades from an ordinary pack of cards
VERY UNLIKELY
c) Tossing a coin and it landing on heads
LIKELY
d) I roll a dice and get a 7
IMPOSSIBLE
e) Somebody you know is left-handed
LIKELY
a) Impossible
In flipping a coin once, an impossible event would be getting BOTH a head AND a tail.
b) Unlikely
The chance of snow in June in Florida
c) Certain
“Head or Tail' is a certain event connected with tossing a coin
d) Likely
The sharp knife will cut his finger
e) Very likely
Since it is sunny and hot, it is I will go to the pool today.
What value of b will cause the system to have an infinite
number of solutions?
y = 6x-b
3x+1/2y=-3
-3x + 2 y = -3
b =
O 2
X
04
6
8
Answers
Answer:
6
Step-by-step explanation:
Given the system of equations:
y = 6x-b (eq. 1)
-3x+1/2y = -3 (eq. 2)
We can rewrite eq. 1 as follows:
-6x + y = -b
Dividing by 2:
(-6x + y)/2 = -b/2
-6x/2 + y/2 = -b/2
-3x + 1/2y = -b/2
The system of equations will have infinite number of solutions if both equations are equal. Therefore:
-b/2 = -3
b= -3*(-2)
b = 6