Answers
Answer:
The measure of angle E is:
m∠E = 80°
Step-by-step explanation:
Given
The triangle ΔDEF
It is stated that DE=EF and G is the midpoint of EF.
It means the midpoint G has converted the triangle into two equal right-angles triangles ΔDEG and ΔDFG with the right-angle at G.
Given
m∠GDE = 10°
As the right-angle triangle, ΔDEG lies at the right-angle G.
So, m∠DGE = 90°
as
m∠GDE = 10°
m∠DGE = 90°
m∠E = ?
We know that the sum of angles of a triangle is 180°.
m∠GDE + m∠DGE + m∠E = 180°
10° + 90° + m∠E = 180°
100 + m∠E = 180°
m∠E = 180° - 100
m∠E = 80°
Therefore,
The measure of angle E is: m∠E = 80°
Related Questions
Solve the system using a matrix. NEED HELP ASAP!!:):)
Answers
1,-4 sorry if wrong :(
Step-by-step explanation:
1.3x+2y=13
3x+2y+-2y=13+-2y
3x=-2y +13
3x/3=2y+13/3
The answer is x= -2/3 y+13/3
2.x= -2/3 y+ -1/3 z +13/3
3.x= -1/5 y +9/5
PLEASE HELP(Need answer now)
Answers
Answer:
x=74
Step-by-step explanation:
180-106=74
plss mark brainliest
Which two lines are parallel?
5y = 2x-5
5y = 4 +3x
5y-3x = -1
O No two of the lines are parallel.
O I and III
O II and III
O land I
Answers
Given:
The equations are
[tex]5y=2x-5[/tex]
[tex]5y=4+3x[/tex]
[tex]5y-3x=-1[/tex]
To find:
The two parallel lines.
Solution:
Slope intercept form of a line is
[tex]y=mx+b[/tex]
where, m is slope and b is y-intercept.
Isolate variable y in each of the given equations, to get the slope intercept form of the lines.
The slope intercept forms of given lines are
[tex]y=\dfrac{2}{5}x-1[/tex]
[tex]y=\dfrac{4}{5}+\dfrac{3}{5}x[/tex]
[tex]y=-\dfrac{1}{5}+\dfrac{3}{5}x[/tex]
On comparing these equations with slope intercept form, we get
Slope of I line = [tex]\dfrac{2}{5}[/tex]
Slope of II line = [tex]\dfrac{3}{5}[/tex]
Slope of III line = [tex]\dfrac{3}{5}[/tex]
Slope of parallel lines are equal. So, lines II and III are parallel because their slopes are equal.
Therefore, the correct option is C.
Jen has 81 beads. Ana has 44 red beads and 29 blue beads.
How many more beads does Ana need to have 81 beads also?
Ana needs
more beads to have 81 beads.
Answers
44+29 = 73 <— that’s the total number of beads Ana has. If she wants 81 we will have to use subtraction now. 81-73 = 8
So Ana will need 8 more beads in order to have 81 total beads
You order pizza on Door Dash. It costs $39. Sales tax is 7%. What is the sales tax?
Answers
Answer:
Sales tax is $2.73. Making the total $41.73
Answer:
2.73 or [tex]\frac{273}{100}[/tex]Step-by-step explanation:
[tex]--------------------------------------------[/tex]
It is $2.73 because 7% of $39 = 2.73 or [tex]\frac{273}{100}[/tex] according to Desmos.
[tex]--------------------------------------------[/tex]
$39 + $2.73 = $41.73 = Total
[tex]--------------------------------------------[/tex]
The sales tax is $2.73
[tex]--------------------------------------------[/tex]
The total is $41.73
[tex]--------------------------------------------[/tex]
Hope this helps! <3
[tex]--------------------------------------------[/tex]
PLEASEEE HELP!!! Need help pls
Answers
Answer:
Option A
Step-by-step explanation:
Weight of an apple = twice of the weight of a lemon
Weight of an apple = 2(weight of a lemon)
x = 2y ------(1)
x = weight of an apple
y = weight of a lemon
Number of apples in a box = 16
Weight of the apple box (A) = 16x
Number of lemons in another box = 24
Weight of the lemon box (B) = 24y
Therefore, [tex]\frac{A}{B}=\frac{16x}{24y}[/tex]
[tex]\frac{A}{B}=\frac{2x}{3y}[/tex]
[tex]\frac{A}{B}=\frac{2(2y)}{3y}[/tex] [From equation (1)]
[tex]\frac{A}{B}=\frac{4y}{3y}[/tex]
[tex]\frac{A}{B}=\frac{4}{3}[/tex]
Option A will be the correct option.
Which of the following is an equation for line m shown below which is perpendicular to the line whose equation is y=2/3x + 4
1) y= -2/3x + 8
2)y= 3/2x + 6
3)y= -2/3x + 12
4)y= -3/2x + 4
Answers
Because 2/3 has to be flipped and change the sign so it would be -3/2. But I am not sure about the y-intercept. I just went with the slope in this case.
Hope it helps!
The line perpendicular to the line y = 2/3x + 4 is 4) y = -3/2x + 4.
What is slope?The slope is the rate of change of the y-axis with respect to the x-axis.
The equation of a line in slope-intercept form is y = mx + b, where
slope = m and y-intercept = b.
We know the greater the absolute value of a slope is the more steeper is it's graph or rate of change is large.
The given equation of a line in slope-intercept form is y = (2/3)x + 4.
Now, We know lines perpendicular to each other have slopes that are negative reciprocal to each other.
If one line has a slope of 'm' the line perpendicular to it will have slope
(-1/m).
Therefore, From the given options the line y = -(3/2)x + 4 is the line perpendicular to the line y = (2/3)x + 4.
learn more about lines and slopes here :
https://brainly.com/question/16180119
#SPJ2
Customers at an ice-cream shop took a survey. The results showed that 144 customers rated the shop as being “very satisfactory.” This number represented 45% of the total number of customers who took the survey.
Answers
Total customers who took survey= 144 × 100/45 = 320
gustavo ronaldo says, if you subtract 11 from my number and multiply the difference by -3, the result is -51 . what is s number?
Answers
Answer:
28
Step-by-step explanation:
-3 * (x-11) = -51
x-11 = 17
x = 28
how do I find the range of a function?
Answers
Answer:
Overall, the steps for algebraically finding the range of a function are:
1.Write down y=f(x) and then solve the equation for x, giving something of the form x=g(y).
2.Find the domain of g(y), and this will be the range of f(x).
3.If you can't seem to solve for x, then try graphing the function to find the range.
Step-by-step explanation:
Answer:
Write down y=f(x) and then solve the equation for x, giving something of the form x=g(y).
Find the domain of g(y), and this will be the range of f(x).
If you can't seem to solve for x, then try graphing the function to find the range.
Step-by-step explanation:
please help thx so much
Answers
Answer:
I think c is the answer....
Easy Question>>?????????????help
Answers
Answer:
thanswer to this is...................
Step-by-step explanation:
unknown
or 148 degrees
Answer:
148 degrees... if it's so easy then why u couldn't u answer it
What is the unit rate of 15 laps in 3 days
Answers
Answer:
the answer to that is 5 laps per day
Step-by-step explanation:
15 laps ÷ 3
3 days ÷3
5 laps
=
1 day
5 laps=days
One professor grades homework by randomly choosing 5 out of 14 homework problems to grade.
(a) How many different groups of 5 problems can be chosen from the 14 problems?
(b) Probability extension: Jerry did only 5 problems of one assignment. What is the probability that the problems he did comprised the group that was selected to be graded? (Round your answer to four decimal places.)
(c) Silvia did 7 problems. How many different groups of 5 did she complete? What is the probability that one of the groups of 5 she completed comprised the group selected to be graded? (Round your answer to four decimal places.)
Answers
Answer:
a) 2002 different groups of 5 problems can be chosen from the 14 problems.
b) P=0.04995%
c) 21 different groups of 5.
P=1.04895%
Step-by-step explanation:
a)
In order to solve this problem we must ask ourselves: Does the order matter? We can see that in this case the order in which the problems are chosen doesn't really matter, so we are talking about a combination:
[tex]_{n}C_{r}=\frac{n!}{r!(n-r)!}[/tex]
in this case, n=14 while r=5, so our combination will be:
[tex]_{14}C_{5}=\frac{14!}{5!(14-5)!}[/tex]
which yields:
[tex]_{14}C_{5}=2002[/tex] which will be the answer for part a.
b)
In order to find the probability we can use the probability formula:
[tex]Probability=\frac{desired \hspace{5}outcome}{number\hspace{5} of \hspace{5} possible \hspace{5} outcomes}[/tex]
so in this case there is only 1 desired outcome out of the 2002 possible outcomes so our probability is:
[tex]P=\frac{1}{2002}[/tex]
which is the same as:
P=0.04995%
c) The same applies to part c. In order to find the number of groups Silvia did, we can make us of the combination formula:
[tex]_{7}C_{5}=\frac{7!}{5!(7-5)!}[/tex]
which yields:
[tex]_{14}C_{5}=21[/tex]
so there are 21 different groups of 5 she did by solving 7 problems.
So we can use the same formula to find the probability that one of the groups she completed comprised the group selected to be graded so we get:
[tex]P=\frac{21}{2002}=\frac{3}{286}[/tex]
which is the same as:
P=1.04895%
(remember that in order to turn a decimal number into a percentage you need to multiply the decimal number by 100)
need answer for number 2
Answers
Answer:
9x^6 over 4y^8
Step-by-step explanation:
Answer:
E. 9x^6 / 4y^8
Step-by-step explanation:
Use exponent rule: a^-b = 1/a^b
Which route is longer, Kingston- Edmonds or Sourworth-Fauntleroy?
Answers
It’s longer, also I think I did this before
14⋅25
Express your answer in simplest form.
3/20
2/9
1/10
1/3
Answers
Answer:
Step-by-step explanation:
1/4 * 2/5 = 2/20 = 1/10 :)
Solve For X
5(3x-2)=5
Answers
Answer:
15x-10=5
x=1
Step-by-step explanation:
hope it helps bro
Answer:
x=1
Step-by-step explanation:
Question 2
2 pts
Use the midpoint formula to find the midpoint of the line segment AB. Show your work for
full credit.
Given (4,8) and B(14,-2)
HTML Editore
Answers
Answer:
[tex]M = (9,3)[/tex]
Step-by-step explanation:
Given
[tex](x_1,y_1) = (4,8)[/tex]
[tex](x_2,y_2) = (14,-2)[/tex]
Required
Find the midpoint (M)
The midpoint is calculated as follows:
[tex]M = (\frac{1}{2}(x_1+x_2),\frac{1}{2}(y_1+y_2))[/tex]
Substitute values for x's and y's
[tex]M = (\frac{1}{2}(4+14),\frac{1}{2}(8-2))[/tex]
[tex]M = (\frac{1}{2}(18),\frac{1}{2}(6))[/tex]
[tex]M = (\frac{1}{2}*18,\frac{1}{2}*6)[/tex]
[tex]M = (9,3)[/tex]
Hence, the midpoint is (9,3)
Question 5 6 pts Alanis goes to work with her father. He gives out the paychecks to the employees at his company. Alanis notices that one man worked 31.25 hours for the week, and he was paid $9.20 per hour. How much was the man's paycheck? O A. $270.00 O B. $287.50 c. $1 150.00 O D. $1,437.50 Question 6 6 pts
Answers
Complementary angles are 2 angles with a sum of 90.
Answers
Answer:
Two angles are called complementary when their measures add to 90 degrees. Two angles are called supplementary when their measures add up to 180 degrees.
Select the graph for the solution of the open sentence. Click until the correct graph appears.
|x - 1| < 4
Answers
Answer:
x < 5
x > -3
Step-by-step explanation:
I didn't see the graph you mentioned, but this is the graph I did.
|x - 1| < 4
x-1 < 4 , -(x-1) < 4
x < 5
x > -3
Please let me know if you guys can get this.!
Answers
Answer:
c
Step-by-step explanation:
What is the prime factorization of 42?
O 2x 3x4
o 2x3x7
O 3x3 x4
O 3x3x7
HELP PLEASEEE I WILL GIVE BRAINLIEST
Answers
Answer:
its 2nd one
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
9x2+4y2 = 36
The foci are located at:
O(-V5,0) and (V5, 0)
0 (-V13, 0) and (V13, 0)
0 (0, -V5) and (0, V5)
Answers
Answer:
The foci of the given ellipse = (0 ,-√5 ) and ( 0, √5 )
Step-by-step explanation:
Step(i):-
Given Ellipse 9 x² + 4 y² = 36
[tex]\frac{9x^{2} }{36} + \frac{4y^{2} }{36} =1[/tex]
⇒ [tex]\frac{x^{2} }{4} + \frac{y^{2} }{9} = 1[/tex]
Step(ii):-
The Major axis lies on y-axis
Foci of the Formula C² = a² -b² = 9-4 =5
C = √5
The Foci is always lie on the major axis(longest) axis, spaced equally each side of the centre
Given ellipse of the foci is lie on Y- axis
Final answer:-
The foci of the given ellipse = (0 ,-√5 ) and ( 0, √5 )
Best answer gets Brainliest!!!
Answers
Answer:
b i think
Step-by-step explanation:
because you divide y by 2 to get x
the table represents a function:
x. f(x)
-5. 4
-1. 0
6. -1
9. -3
What is the value of f(-1)?
Answers
Answer:
➨ f(-1) = 0
Step-by-step explanation:
➨ Look at the table and compare.
Notice that when x = -1, f(x) = 0
f(-1) is like substituting x = -1 and get the f(x) value at x = -1.
Thus, f(-1) = 0
can somebody pls help me..
Answers
Please determine x.
Answers
Answer:
x = 15
Step-by-step explanation:
137+28=165
All angles in a triangle add up to 180
So 180-165 = 15
15 = x
The dimensions of the base of Box 2 are x by 4x − 1. 4x2 – x 4x2 – 1 4x – 4 5x – 1
Answers
its 56. please give brainliestStep-by-step explanation:
Answer:
It's A (4x^2-x) Got it on edge
Step-by-step explanation: