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
Learn more about of congruent triangles here:
brainly.com/question/4364353
#SPJ5
2.5 ÷ 0.5
A 1.25
B. 2
C. 4.5
D. 5
E. 10
Answer
The answer is D. 5
Answer:
2.5/.5 = 5 Anything that is divided by 0.5 or 1/2 is double the number it's getting divided by. 2.5 doubled is 5
Step-by-step explanation:
What is the distance between (-2,4) and (0,2)
Answer:
(-2,6)
Step-by-step explanation:
I took the test
Answer: sqrt 8 = 2 sqrt2
Step-by-step explanation:
d = sqrt [(0–2)^2+(2-4)^2]
= sqrt (2^2 + -2^2)
= sqrt 8
Simplify: 2 sqrt2
a rectangular field has a length of 485 meters and a width of 155 meters how much would it cost to fence the field at £14 a meter
Answer:
£17920
Step-by-step explanation:
total length of the field = 2(155+485) = 1280m
cost = 1280 * 14 = 17920
Help guys please!!!
terms
constant
exponent
variable
coefficient
1.
2.
4.
15x2
303
terms
Answer:
Below,...!
Step-by-step explanation:
1 = Variable
2 = Exponent
3/4 = Coefficient
1. True
2. False
3. True
4. FaLSE
5. You make $10 per hour and worked 25 hours last week. They took out 5.65% for
income taxes and 7.65% for FICA. How much is your net pay?
If DE = 4 x + 10, EF = 2 x -1, and DF = 9 x - 15, what is the length of DF?
Answer:
DF = 57
Step-by-step explanation:
DE + EF = DF
(4x + 10) + (2x - 1) = 9x - 15
Combine like terms on the left side
6x + 9 = 9x - 15
Subtract 6x on both sides
9 = 3x - 15
Add 15 on both sides
24 = 3x
Divide by 3 on both sides
x = 8
DF = 9x - 15 = 9(8) - 15 = 72 - 15 = 57
Checking:
(4(8) + 10) + (2(8) - 1) = 9(8) - 15
(32 + 10) + (16 - 1) = 72 - 15
58 - 1 = 72 - 15
57 = 57
Answer:
DF= DE+EF
9x–15 = (4x+10)+(2x-1)
9x–15 = 6x +9
9x–6x= 9+15
3x = 24
x=24/3
x=8
DF = 9x –15 = 9(8)–15= 72 –15 = 57
So; DF = 57
I hope I helped you^_^
Simplify (9m^5n^-7)
________ without negative exponents
27m^6n^5
Answer:
[tex]9m^5n^-7[/tex] = [tex]\frac{ 9m^5}{n^ 7}[/tex]
Step-by-step explanation:
I need help urgent Please will give brainly
Answer:
The order you placed it in at first was correct.
Step-by-step explanation:
what is the area of a rectangle which is 7.2cm by 3cm
Answer:
21.6cm^2
Step-by-step explanation:
area = length * breadth
= 7.2 * 3 = 21.6
If a fair coin is tossed 6 times, what is the probability, rounded to the nearest thousandth, of getting at most 2 heads?
Answer:
[tex] \displaystyle 0.344[/tex]
Step-by-step explanation:
we are given that a coin is tossed 6 times and we want to find the probability of getting at most 2 heads.
To solve this problem,we can consider binomial distribution, which is given by
[tex] \displaystyle P(X = r) = \binom{n}{r} {p}^{r} {q}^{n - r} [/tex]
where:
P = binomial probabilityr = number of times for a specific outcome within n trials[tex]{n \choose r}[/tex] = number of combinationsp = probability of success on a single trialq = probability of failure on a single trialn = number of trialswe want to figure out the probability of getting at most 2 heads out of 6 trials , The probability can therefore be found by adding up all the binomial distributions including X=2 and less than it, Thus
[tex] \displaystyle P(X \leq 2) = P(X=0)+P(X=1)+P(X=2) [/tex]
[tex] \displaystyle P(X \leq 2) = \binom{6}{0} {p}^{0} {q}^{6 - 0} + \binom{6}{1} {p}^{1} {q}^{6- 1} + \binom{6}{2} {p}^{2} {q}^{6 - 2} [/tex]
when a coin is tossed, the probability of getting both head (success) and tail (failure) are ½ which is why ,the variables, p and q are assigned to ½. therefore substitute
[tex] \rm\displaystyle P(X \leq 2) = \binom{6}{0} { \left( \frac{1}{2} \right) }^{0} { \bigg( \frac{1}{2} \bigg) }^{ 6- 0} + \binom{6}{1} { \bigg( \frac{1}{2} \bigg) }^{1} { \bigg( \frac{1}{2} \bigg) }^{6 - 1} + \binom{6}{2} { \bigg( \frac{1}{2} \bigg)}^{2} { \bigg( \frac{1}{2} \bigg) }^{6- 2} [/tex]
since p and q are the same. it won't make any difference to write all the product of p and q as (½)⁶:
[tex]\rm\displaystyle P(X \leq 2) = \binom{6}{0} { \bigg( \frac{1}{2} \bigg) }^{ 6} + \binom{6}{1} { \bigg( \frac{1}{2} \bigg) }^{6} + \binom{6}{2} { \bigg( \frac{1}{2} \bigg) }^{6}[/tex]
In the expression the term (½)⁶ is common thus factor it out:
[tex]\rm\displaystyle P(X \leq 2) = { \bigg(\frac{1}{2}\bigg) }^{ 6} \left( \binom{6}{0} + \binom{6}{1} + \binom{6}{2} \right) [/tex]
calculate the combinations:
[tex]\rm\displaystyle P(X \leq 2) = { \bigg(\frac{1}{2}\bigg) }^{ 6} \left(1+6+15\right) [/tex]
simplify addition:
[tex]\rm\displaystyle P(X \leq 2) = { \bigg(\frac{1}{2}\bigg) }^{ 6} \left(22\right) [/tex]
simplify exponent:
[tex]\rm\displaystyle P(X \leq 2) = { \bigg(\frac{1}{64}\bigg) } \left(22\right) [/tex]
simplify multiplication:
[tex]\rm\displaystyle P(X \leq 2) = \frac{22}{64} [/tex]
dividing yields:
[tex]\rm\displaystyle P(X \leq 2) = 0.34375 [/tex]
[tex]\rm\displaystyle P(X \leq 2) \approx 0.344 [/tex]
In conclusion
The answer is 0.344
Write your answer as a polynomial or a rational function in simplest form
Answer:
x²+5x
Step-by-step explanation:
You can make (f-g)(x) into (x) - (-x²-4x) because f(x)=x and g(x)=x²-4x
(x)-(-x²-4x) can simplify into x+x²+4x once you distribute the negative sign.
x+x²+4x simplifies into x²+5x.
So your final answer is x²+5x.
I hope it's right and this helps!
Find the output b when the input a is 6
B=-1 - 7a
B=
Answer:
-43
Step-by-step explanation:
If a = 6.
B= -1 - 7a. a=6. 7a=42
B = -1 - 42 = -43
Can someone answer this!!!
Answer:
To South
Step-by-step explanation:
note the directions that are given on the left side
Answer:
यो त युनाइटेड स्टेट्स अफ अमेरिका हो।
How many solutions are there to the equation below?
14x + 5 = 14x-19
A. 1
B. infinitely many
C. O
Given the function y = x2
22 – 10, what is the value of y when x = 5?
Answer:
coxkyxkyxoydoyd
Step-by-step explanation:
kysoydoyxlhxlhxohxoudyodgufudytdxgchjvgufychvjugfychgifuyfchuguffychjbohihfydtxgbjjbhcvjgujfjfjf
The perimeter of a rectangular plot of land is 280 feet. If one of the sides of the rectangular plot is 50 feet in length, what is the length, in feet, of each of the longer sides of the plot?
Answer:
90 feet.
Step-by-step explanation:
2 sides are 50 feet long = 100 feet.
That leaves 280 - 100 = 180 feet.
So the length of the longer sides are both 90 feet.
Plz help!! I’ll give brainliest!
In the expression "4f + s", the letter "s" is: *
Answer:
Step-by-step explanation:
A variable
24. The expression ax2 + bx + c takes the values 0, 1 and 4 when x takes the values 1, 2
and 3 respectively. Find the value of the expression when x takes the value 4.
Please solve it for me
Answer:
When x takes the value of 4, the expression takes the value of 9.
Step-by-step explanation:
We are given that the expression:
[tex]\displaystyle ax^2 + bx + c[/tex]
Evaluates to 0, 1, and 4 when x = 1, 2, and 3, respectively.
And we want to determine the value of the expression when x = 4.
The expression evaluates to 0 when x = 1. In other words:
[tex]\displaystyle a(1)^2 + b(1) +c = a + b + c = 0[/tex]
We can complete the same for the other two:
[tex]\displaystyle a(2)^2 + b(2) + c = 4a + 2b + c = 1\text{ and } \\ \\ a(3)^2 + b(3) + c = 9a + 3b + c = 4[/tex]
This yields a triple system of equations:
[tex]\displaystyle \left\{ \begin{array}{l} a + b + c = 0 \\ 4a + 2b + c = 1 \\ 9a + 3b + c = 4 \end{array}[/tex]
Solve. We can cancel out the c by multiplying the first equation by negative one and adding it to both the second and the third:
[tex]\displaystyle \begin{aligned} (4a + 2b + c) + (-a - b -c ) &= (-0) + (1) \\ \\ 3a +b &= 1\end{aligned}[/tex]
And:
[tex]\displaystyle \begin{aligned} (9a + 3b + c) + (-a - b -c) &= (-0) + (4) \\ \\ 8a + 2b &= 4\end{aligned}[/tex]
Solve for the two resulting equations. We can multiply the first by negative two and add it to the second:
[tex]\displaystyle \begin{aligned}(8a + 2b) + (-6a -2b) &= (4) + (-2) \\ \\ 2a &= 2 \end{aligned}[/tex]
Hence:
[tex]a = 1[/tex]
Solve for b:
[tex]\displaystyle \begin{aligned} 3a + b &= 1 \\ b&= 1 - 3a \\ b&= 1 - 3(1) \\ b &= -2\end{aligned}[/tex]
And finally, solve for c:
[tex]\displaystyle \begin{aligned} a + b + c &= 0 \\ (1) + (-2) + c &= 0 \\ c &= 1\end{aligned}[/tex]
Hence, our expression is:
[tex]\displaystyle x^2 -2x + 1[/tex]
Then when x = 4:
[tex]\displaystyle (4)^2 - 2(4) + 1= 9[/tex]
In conclusion, when x = 4, the resulting value is 9.
What is the product of 3x+4 and 6x^{2} −5x+7?
Step-by-step explanation:
[tex](6x^2-5x+7)(3x+4)[/tex]
[tex]=(6x^2-5x+7)(3x)+(6x^2-5x+7)(4)[/tex]
[tex]=(6x^2)(3x)+(-5x)(3x)+(7)(3x)+(6x^2)(4)+(-5x)(4)+(7)(4)[/tex]
[tex]=18x^3-15x^2+21x+24x^2-20x+28[/tex]
[tex]=18x^3+9x^2+x+28[/tex]
write as a single fraction in it's simplest form:
[tex]x - 8 \div x + 3x \div x + 1[/tex]
Answer:
-8/3x
Step-by-step explanation:
-8 / 3x / 1
-8 / 3x
.....
..
A scientist has 3^15 cells in a container. She expects the number of cells to triple in on day. How many cells will the scientist have after one day? Show your work or explain your reasoning
Answer:
3^16 cells
Step-by-step explanation:
The scientist has 3^15 cells. If we triple the number of cells, we multiply this amount by 3
3 * 3^15 = 3^1 * 3^15
Remember your laws of exponents: we add the exponents here.
3^(1+15) = 3^16
Diagram 6 shows a rectangle KLMN.
It is given that tan x = 0.8. Find the length, in cm, of LM.
A 16
B 20
C 24
D 26
HELP ME PLS
Answer:
LM = 24 cm
Step-by-step explanation:
Using the tangent ratio in the right triangle to find JL
tan x = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{JL}{KL}[/tex] = [tex]\frac{JL}{10}[/tex] = 0.8 ( multiply both sides by 10 )
JL = 8
Then
LM = JL + JM = 8 + 16 = 24 cm
what is a reasonable domain and range for this function
Answer:
plz describe whole question!!
Step-by-step explanation:
your question is incomplete
helpppp with geometry plzzz
Step-by-step explanation:
a) given slope=m1=4/b
parallel slope=m2=-8
when two lines are parallel their reltion of slopes is:
m1=m2
4/b=-8
b=-4/8
b=-1/2
b) m1=4/b , m2=3/4
when slopes are perpendicular their relation of slopes is:
m1×m2=-1
4/b × 3/4=-1
3/b=-1
b=-3
Note:if you need to ask any question please let me know.
Anyone know how to solve this?
Answer:
0,-5 is the marking if that's your answer to the question
Can someone please help me with this ty!!
PLEASE HELP ME FAST
Questions 10-12
f(x)= 3x-13
g(x)= 2x^2-4x-5
h(x)=4^x-7
10. Find (f - g) (x)
11. Find (f - h) (x)'
12. Find (f + g) (x)
Answer:
Number 11 I doubt the answer is right or wrong so I made 2 answers. If you know the answer please tell me, so I understand
which of the following is an improper fraction 1 DIVIDE 2 or 4 Divide 25 or 25 divide 7 of None of these
Answer:
25 divide 7
Step-by-step explanation:
hope this helps you
[tex]\sf\underline{Please \: help \: me!}[/tex]
Answer:
I HOPE THE ABOVE PHOTO WILL HELP YOU A LOT.
[tex]\huge{\mathcal {{{\color{orange}{\boxed{\rm \begin{array}{|c|c|c|c|} { \rm\: x}&2&5&8\\{\rm\:y}&2&0&2\end{array}}}}}}} [/tex]
[tex] \Huge \mid\underline {\mathcal {{{\color{orange}{\LARGE{\mathcal{{{\color{red}{Solution}}}}}}}}}} \mid[/tex]
If x is 2
Then ,
2x + 3y = 10
2(2) + 3y = 10
4 + 3y = 10
3y = 10 - 4
3y = 6
y = 6/3
y = 2
If y is 0
Then ,
2x + 3y = 10
2x + 3(0) = 10
2x + 0 = 10
2x = 10
x = 10/2
x = 5
If x is 8
Then ,
2x + 3y = 10
2(8) + 3y = 10
16 + 3y = 10
3y = 10 - 16
3y = -6
y = -6/2
y = -3
_______________________3x - y = 4[tex]\huge{\mathcal{{{\color{blue}{\boxed{\rm \begin{array}{|c|c|c|c|} { \rm\: x}&2&2&4\\{\rm\:y}& - 2&2& - 8\end{array}}}}}}} [/tex]
[tex] \Huge \mid\underline {\mathcal {{{\color{orange}{\LARGE{\mathcal{{{\color{red}{Solution}}}}}}}}}} \mid[/tex]
If x is 2
Then ,
3x - y = 4
3(2) - y = 4
6 - y = 4
-y = 4 - 6
-y = -2
If y is 2
Then ,
3x - y = 4
3x - 2 = 4
3x = 4 + 2
3x = 6
x = 6/2
x = 3
If x is 4
Then ,
3x - y = 4
3(4) - y = 4
12 - y = 4
-y = 4 - 12
-y = -8