Answers
Answer:
first option
Step-by-step explanation:
congruency has its own symbol and it's a ~ top of a = sign. and the expression doesn't have the symbol. so we can eliminate two options out meaning it's a.
The correct answer would be an option (A) the measure of segment DE is equal to the measure of segment FG.
What are congruent triangles?Two triangles are said to be congruent if their corresponding sides and angles are equal.
SSS stands for Side-Side-Side criterion. According to this, two triangles are congruent if three sides of a triangle are equal to the corresponding sides of the other triangle.
SAS stands for Side-Angle-Side criterion. According to this, two triangles are congruent if the two sides and the included angle of one triangle are equal to the corresponding sides and the included angle of the other triangle.
Given that, DE = FG
Congruency is represented by its own symbol, which is a ~ sign on top.
Here, Segment FG's measure is equal to segment DE's measure.
There is no symbol assigned to the expression. Since two possibilities are no longer an option, it must be Option (A).
Hence, the measure of segment DE is equal to the measure of segment FG
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Related Questions
Benny thinks of a number, subtracts 18 from it, and divides the difference by 3, the result is (-4). What is the number?
Answers
Answer:
n=6
Step-by-step explanation:
(n-18)/3 = -4
multiply by 3
n-18 = -12
add 18
n = 6
simplify the problem thank you
Answers
Answer:
-5
Step-by-step explanation:
(-5)(-5)(-5)=-125
Given the expression:
[tex] \displaystyle \large{ \sqrt[3]{ - 125} }[/tex]
Definition:
[tex] \displaystyle \large{ y = \begin{cases} \pm \sqrt[n]{x} \longrightarrow n = (2,4,6,8,...) \: \: (x \geqslant 0) \\ \sqrt[n]{x}\longrightarrow n = (1,3,5,7,...) \: \: (x \in \R) \end{cases}}[/tex]
First, factor the -125. -125 comes from (-5)×(-5)×(-5) or (-5)^3.
[tex] \displaystyle \large{ \sqrt[3]{ ( - 5) \times ( - 5) \times ( - 5)} }[/tex]
Because if (-5)^2 = 25 then 25×(-5) again will be -125.
Since this is the cube root, we have to pull out 3 terms in one. There are 3 fives that we can take off and therefore,
[tex] \displaystyle \large \boxed{ - 5}[/tex]
In the expression "4f + s", the letter "s" is: *
Answers
Answer:
Step-by-step explanation:
A variable
convert 0.2 kg into mg
Answers
Answer:
The answer is 200000 milligrams
Hope that helped you
The perimeter of a triangle is 16 squar root 7 feet if two of the sides measure 343 square root feet amd 175 square root fins the length of the third side as a redo all in simplest form
Answers
Answer:19
Step-by-step explanation:
because if it added it becomes that
Can someone help me on this?? Im really struggling
Answers
any one solve these questions will mark brainliest the last three fast plz
Answers
(iii)
35+ x + 60 = 180
95 + x = 180
x = 180 – 95
x = 85
So; X = 85° ; < PON(iV)
x + 47 + 75 = 180
x + 122 = 180
x = 180 – 120
x = 58
So; x = 58° ; < COB(Vi)105 ° = 3 x° –> Opposite angles ,
x = 105 / 3
x = 35
3x = 3(35) = 105°
So; x = 35°Only the figure (V) I didn't know I'm sorry:(
I hope I helped you^_^
How do I solve this pls help?
Answers
Answer:
a)
f(0) = 4, from the graphb)
h(11) = 15, from the tablec)
g(-9) = -2(-9)² - 4(-9) + 1 = -125, as per equationd)
f(2) = 1, from the graphe)
h(-2) = 2, from the tablef)
g(0.25) = -2(0.25)² - 4(0.25) + 1 = - 0.125, as per equationf(0) = 4
h(11) = 15
g(-9) = -2(-9)² - 4(-9) + 1 = -125
f(2) = 1
h(-2) = 2
g(0.25) = -2(0.25)² - 4(0.25) + 1 = - 0.125
Terminating Decimal between .5 and .6
Answers
RS=3y+5, ST=2y+9, RT=54. what is the value of y?
Answers
Answer:
56
Step-by-step explanation:
show your work
(f×g) (x)
(4x+8)×(2x-12)
Answers
Answer:
[tex] = (4x + 8)(2x - 12) \\ = ( {8x}^{2} - 48x + 16x - 96) \\ = (8 {x}^{2} - 32x - 96) \\ = 8( {x}^{2} - 4x + 12)[/tex]
Answer:
\begin{gathered} = (4x + 8)(2x - 12) \\ = ( {8x}^{2} - 48x + 16x - 96) \\ = (8 {x}^{2} - 32x - 96) \\ = 8( {x}^{2} - 4x + 12)\end{gathered}
=(4x+8)(2x−12)
=(8x
2
−48x+16x−96)
=(8x
2
−32x−96)
=8(x
2
−4x+12)
Find three consecutive even integers such that five times the second is six more than twice the sum
of the first and third integers
Answers
Answer:
The first number = 4The second number = 6The third number = 8Step-by-step explanation:
Let all unknown numbers be represented by the variable x.So;x = first number
x + 2 = second number
x + 4 = third number
placing in a form as demanded by the question.5(x + 2) = 6 + 2x + 2 ( x + 4)
5x + 10 = 6 + 2x + 2x +8
5x - 4x = 14 - 10
x = 4
Therefore;The first number (x) = 4
The second number ( x + 2) = 4 + 2 = 6
The third number (x + 4) = 4 + 4 = 8
Answer:
2x + 2x +2 + 2x +4 = 6x +6 =Sum
5 * (2x +2) = 2 * (2x + 2x +4) +6
10x + 10 = 8x + 8 + 6
2x = 4
x = 2
So the numbers are:
2x or 4
2 x + 2 = 6
2x + 4 = 8
Double-Check
5 * 2nd integer = 30
2 * (1st + 3rd integers) = 24
30 is 6 more than 24
Success!!!
Step-by-step explanation:
a man bought a 4 kg apples at the rate of rs 50 per kg he sold 3 kg apples at the rate of rs 65 and 1 kg apples at rs 40 find his profit or loss amount.
Answers
Answer:
35rs of profit
Step-by-step explanation:
4*50=200rs- he spent
3*65+1*40=195+40=235rs- he got
235-200=35rs of profit
what is 2.3 ÷ 225.4
Answers
Answer: 2.3/225.4=0.01020408
Answer:
98.000
Step-by-step explanation:
Change the divisor 2.3 to a whole number by moving the decimal point 1 places to the right. Then move the decimal point in the dividend the same, 1 places to the right.
We then have the equations:
2254 ÷ 23 = 98.000
and therefore:
225.4 ÷ 2.3 = 98.000
Both calculated to 3 decimal places.
3/2 x -6
hahshdnndndndjd
Answers
Is 0.62473 a member of the set? For each set of real numbers, select yes or no
Answers
?
Step-by-step explanation:
can't see the opinions
What are the potential solutions of In(x2 - 25) = 0?
Ox= 113
O x= 15
x=+26
Ox=+10
Answers
Answer:
e^0=x^2-25=1
x^2=26
x=sqrt(26), pos and neg
The potential solution of the given equation is x=±√26. Therefore, option C is the correct answer.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
The given equation is ln(x²-25)=0
x²-25>0
(x+5)(x-5)>0 (∵a²-b²=(a+b)(a-b))
x>-5 and x>5
Now, e⁰=x²-25
1=x²-25
x²=26
x=±√26
Therefore, option C is the correct answer.
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Evaluate the expression. 0.3 = -5 - (-0.4 - -0.6) Write your answer as an integer or a decimal. Do not round.
Answers
Answer:
-20
Step-by-step explanation:
Hi
The value of the expression is a decimal -17.33.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
0.3x = -5 - (-0.4 - (-0.6))
0.3x = -5 - (-0.4 + 0.6)
0.3x = -5 - 0.2
0.3x = -5.2
x = -5.2/0.3
x = -17.33
Thus,
The value of x is -17.33.
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This is finding the midpoint. Please help
Answers
Answer:
hence the required midpoint of the given line is (9,5)
Answer:
[tex]( \frac{6 + 2}{2} +\frac{12 + 8}{2}) = ( \frac{8}{2} + \frac{20}{2} ) = (4 \: comma10)[/tex]
The answer is :(4, 10)
Help me pls ?? 1. Suppose there is a raffle with numbered tickets 1 - 150. One ticket is randomly
drawn from a hat. Find the following probabilities:
A. Drawing an even number
B. Drawing a number greater than 100
C. Drawing an even prime number
D. Drawing a negative number
Answers
B = less likely / unlikely
C =less likely
D = Impossible
The gradient of the line joining (4, q) to (6, 5) is twice the gradient
of the line joining (0, 0) to (4, q). Find q.
Answers
Answer:
q is 4
Step-by-step explanation:
[tex]gradient = \frac{y_{2} - y_{1} }{x _{2} - x _{1} } \\ [/tex]
let gradient of the line joining (4, q) to (6, 5) be x
let gradient of the line joining (0, 0) to (4, q) be y
[tex]y = 2x[/tex]
therefore:
[tex]( \frac{q - 0}{4 - 0} ) = 2( \frac{5 - q}{6 - 4} ) \\ \\ \frac{q}{4} = \frac{2(5 - q)}{2} \\ \\ \frac{q}{4} = 5 - q \\ \\ q = 4(5 - q) \\ q = 20 - 4q[/tex]
collect like terms:
[tex]q + 4q = 20 \\ 5q = 20 \\ q = \frac{20}{5} \\ \\ q = 4[/tex]
Let,
The gradient of line joining (4, q) to (6, 5) be "x".The gradient of line joining (0, 0) to (4, q) be "y".As we know,
[tex]Gradient = \frac{y_2-y_1}{x_2-x_1}[/tex][tex]y = 2x[/tex]then,
→ [tex]\frac{q-0}{4-0} = 2(\frac{5-q}{6-4} )[/tex]
[tex]\frac{q}{4} = \frac{2(5-q)}{2}[/tex]
[tex]\frac{q}{4} = 5-q[/tex]
By applying cross-multiplication, we get
[tex]q = 4(5-q)[/tex]
[tex]q = 20-4q[/tex]
By adding "4q" both sides, we get
[tex]q+4q= 20-4q+4q[/tex]
[tex]5q = 20[/tex]
[tex]q = \frac{20}{5}[/tex]
[tex]q = 4[/tex]
Thus the above value is correct.
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i don’t understand can someone please help me
Answers
Answer:
Answer:
Step-by-step explanation:
Answer as Photo
ILL MARK BRAINIEST IF YOU DO THIS CORRECTLY!!!
Answers
Answer:
D because it costs less for 7 hours
Answer:
The company that would give you the best deal would be Company D.
Step-by-step explanation:
Company A:
First you set up as an equation.
y=25x+50
I used 25x because 25 represents the hourly rate and x represents the hour it increases.
y=25(7)+50
We have to substitute 7 in for x because it says "If you had planned for 7 hours".
Multiply 25 and 7. You should get 175.
y=175+50
Add 175 and 50. You should get 225.
y=225.
You do the same thing for the rest of the problems.
Company B:
y=30x+40
y=30(7)+40
y=210+40
y=250
Company C:
y=20x+60
y=20(7)+60
y=140+60
y=200
Company D:
y=5x+150
y=5(7)+150
y=35+150
y=180
The company that would give you the best deal would be Company D.
What is the equation of the line that passes through the point (4, -7) and has a
slope of – } ?
Answer:
Submit Answer
PLS HELP ASAP
Answers
Answer:
I think that some information is missing? what is the slope?
If you are trying to say that there is NO SLOPE then the
answer is " x = 4 "
Step-by-step explanation:
Evaluate \dfrac {9}m+4 m 9 +4start fraction, 9, divided by, m, end fraction, plus, 4 when m=3m=3m, equals, 3.
Answers
Fractions can be evaluated, same way non fractions are evaluated
The result of the fraction expression [tex]\mathbf{\dfrac {9}m+4}[/tex] is 7
The given parameters are:
[tex]\mathbf{\dfrac {9}m+4}[/tex]
[tex]\mathbf{m = 3}[/tex]
So, we have:
[tex]\mathbf{\dfrac {9}m+4}[/tex]
Substitute 3 for m
[tex]\mathbf{\dfrac {9}m+4 = \dfrac {9}3+4}[/tex]
Evaluate the division
[tex]\mathbf{\dfrac {9}m+4 = 3+4}[/tex]
Add 3 and 4
[tex]\mathbf{\dfrac {9}m+4 = 7}[/tex]
Hence, when m equals 3, the result of the fraction expression [tex]\mathbf{\dfrac {9}m+4}[/tex] is 7
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At a bake sale there were 52 items sold total. If 24 of the items sold were cookies and the rest were brownies what is the ratio of brownies sold to cookies sold?
Answers
to find b, you just subtract (52-24)
28 to 24 is our ratio
we can simplify this (just like fractions!) since both are even, let’s do it by 2!
28/2 = 14 and 24/2 = 12
simplify once more and you get our ANSWER: 7:6
The function y = f(x) is graphed below. What is the average rate of change of the function f(x) on the interval 1 < x < 2?
Answers
which is the simplified form of the expression
please help!!
Answers
Answer:
A
Step-by-step explanation:
p^-8q^-20 * p^8q^-10
=q^-30
=1/q^30
-2x - 4 > 8 how much is this
Answers
[tex]\\ \sf\longmapsto -2x-4>8[/tex]
[tex]\\ \sf\longmapsto -2(x+4)>8[/tex]
[tex]\\ \sf\longmapsto x+4>\dfrac{8}{-2}[/tex]
[tex]\\ \sf\longmapsto x+4>-4[/tex]
[tex]\\ \sf\longmapsto x>-4-4[/tex]
[tex]\\ \sf\longmapsto x>-8[/tex]
Answer:
x < -6
Step-by-step explanation:
-2x - 4 > 8
Add 4 on both sides
-2x > 12
Divide -2 on both sides
x < -6
Hope this helps!
Solve the equation for the specified variable.
Y = AD-5, for A
Help plzzzzz
Answers
Answer:
A = (Y + 5)/ D
Step-by-step explanation:
Y = AD - 5
Y + 5 = AD - 5 + 5
Y + 5 = AD
(Y + 5)/D = AD/D
(Y + 5)/ D = A
》A = (Y + 5)/ D
