Answers
Answer:
EF = 7
Step-by-step explanation:
the two triangles shown are congruent triangles
we know this because they share the line FD
and DE and DG are both 5
so the length two sides are definitely congruent, this means that the third side will also be congruent
the third side would be FG and EF
FG is 7 so then EF is 7
Answer:
EF is 7
Step-by-step explanation:
Key skills needed: Triangle Congruence
1) We need to find out The length of EF
2) To find this, let's use Congruence of Two Triangles
The triangles that we can prove congruent are Δ DFG and Δ DFE
3) Both share the side DF, so we have one side
Both have a right angle, < FDG is a right angle, and < FDE would also be right angle (you can prove this as ---> < FDE is supplementary to a right angle, and therefore it would also be a right angle)
Both share a congruent set of sides (GD and DE both are 5)
4) With the 3 things above we can say --> Δ DFG ≅ Δ DFE with SAS (side-angle-side)
5) This means that corresponding parts would be congruent.
FG ≅ EF. This means EF would be the same length as FG. Since FG is 7, then EF would be 7.
Hope you understood and have a nice day!! :D
Related Questions
Which regression equation best fits these data ?
Answers
Answer:
C. [tex]y = -0.30\cdot x^{2}-0.48\cdot x+15.83[/tex]
Step-by-step explanation:
The best fit curve for the given set of points is the quadratic form, which is defined by:
[tex]y = A\cdot x^{2}+B\cdot x + C[/tex] (1)
Where:
[tex]x[/tex] - Independent variable.
[tex]y[/tex] - Dependent variable.
[tex]A[/tex], [tex]B[/tex], [tex]C[/tex] - Coefficient.
The coefficient associated with the second-power component determines whether vertex is an absolute maximum or not. The vertex is an absolute maximum if and only if [tex]A < 0[/tex], otherwise it is an absolute minimum. From image we notice that resulting fit curve will have an absolute maximum, then [tex]A < 0[/tex]. Hence, the correct answer is C.
Answer: C
Step-by-step explanation:
Here is an addition sentence:
(3 + 4) + 2 = 9
Drag the numbers and the parentheses to create an equivalent addition sentence that illustrates the associative property of addition.
Answers
Answer:
the answer is 9
Step-by-step explanation:3+4=7+2=9
Answer: 4+(2+3)=9
Step-by-step explanation:
No matter where you move the parentheses it will always equal the same.
The Quick Change Oil Company has a number of outlets in the metropolitan Seattle area. The daily number of oil changes at the Oak Street outlet in the past 20 days are:
65 98 55 62 79 59 51 90 72 56
70 62 66 80 94 79 63 73 71 85
The data are to be organized into a frequency distribution.
Click here for the Excel Data File
How many classes would you recommend?
Organize the number of oil changes into a frequency distribution. (Round "Relative frequency" answers to 2 decimal places.)
Answers
Answer: 5 classes.
Step-by-step explanation:
You can use the rule to determine the number of classes for a frequency distribution.
The rule says that where
is the number of classes
is the number of the data points
We know that the number of data points is = 20.
Next, we start searching for so that we can get a number 2 to the that is larger that the number of data points.
This suggests that you should use 5 classes.
Drag the labels to the correct locations. Each label can be used more than once, but not all labels will be used.
Simplify the expression by rewriting it as a complex number in the standard form a+bi
Answers
Given:
The expression is
[tex]\sqrt{64}+\sqrt{-144}[/tex]
Rewriting it as a complex number in the standard form a+bi.
To find:
The missing values in the given simplification.
Solution:
We have,
[tex]\sqrt{64}+\sqrt{-144}[/tex]
It can be written as
[tex]\sqrt{64}+\sqrt{-144}=\sqrt{8^2}+\sqrt{-1\cdot 12^2}[/tex]
[tex]\sqrt{64}+\sqrt{-144}=\sqrt{8^2}+\sqrt{-1}\cdot \sqrt{12^2}[/tex]
[tex]\sqrt{64}+\sqrt{-144}=\sqrt{8^2}+i\cdot \sqrt{12^2}[/tex] [tex][\because \sqrt{-1}=i][/tex]
[tex]\sqrt{64}+\sqrt{-144}=\sqrt{8^2}+i\cdot 12[/tex]
[tex]\sqrt{64}+\sqrt{-144}=8+12i[/tex]
Therefore, the missing values are [tex]-1,\ i,\ 12i[/tex] respectively.
Answer:
Sample Answer for Edmentum
Like and Rate!
Step-by-step explanation:
Help me please and I’ll give you a Brainly star!
Answers
Which expression can be used?
Answers
Answer:
b
Step-by-step explanation:
n+6
Step-by-step explanation:
it is because you're increasing the servings
You drove 360 miles in 6 hours. How many miles did you drive per per hour?
Answers
Answer:
60 miles per hour
Step-by-step explanation:
if you divide 360 by 6 you will get 60
Answer:
60 miles
Step-by-step explanation:
Your answer should be 60 miles. If you divide 360 by 6 it will give you 60.
If you would like to check your answer you can multiply 60*6 which will give you 360.
Decide if the statement is true or false.
7 is a solution of - 4x = -28.
Answers
True,
-4x=-28
Divide by -4 on both sides and since the negatives cancel eachother, you're left with x=7
You get your hair done for $56.00 and you tip the hairdresser 20%. How much is your tip?
A.$76.00
B. $67.20
C.$11.20
D.$20.00
Answers
You get your hair done for $56.00 and you tip the hairdresser $20.00(D)
You have to subtract 56 from 20% than round the answer to the neared tenth.
At the sleepover, Drew's friends ate 3 3/9 cups of ice cream. The next day, his family ate 2 4/9 cups more. How many cups did they eat altogether?
Answers
answer quick will give 20 points
Answers
Answer:
I think c but I'm not sure
Answer:
C: (-3,6)
Step-by-step explanation:
add both equations
5x+2x+2y-2y=-15+(-6)
7x=-21
x=-3
input x=3 into any equation in system and solve for y
2(3)-2y=-6
-2y=-12
y=6
solution: (-3, 6)
solve for x x−6/9=−5
x=
Answers
Answer:
4 4/9
Step-by-step explanation:
Move all terms not containing x
to the right side of the equation.
Exact Form:
x=−409
Decimal Form:x=−4.¯4
Mixed Number Form:
4 4/9
Answer:
-39
Step-by-step explanation:
x-6/9 = -5
then multiply both sides by 9
9 ° (x-6) / 9 = 9 ° -5
simplify
x-6= -45
add 6 to both sides
x-6+6=-45+6
simplify
x= -39
r(x)=2square root of x S(x)= square root of x (rs)(4)=
Answers
Answer:
[tex](rs)(4) = 8[/tex]
Step-by-step explanation:
Given
[tex]r(x) = 2\sqrt{x[/tex]
[tex]s(x) = \sqrt x[/tex]
Required
Determine [tex](rs)(4)[/tex]
In functions:
[tex](fg)(x) = f(x) * g(x)[/tex]
This implies that:
[tex](rs)(x) = r(x) * s(x)[/tex]
Substitute values for r(x) and s(x)
[tex](rs)(x) = 2\sqrt{x} * \sqrt{x}[/tex]
[tex](rs)(x) = 2(\sqrt{x})^2[/tex]
[tex](rs)(x) = 2x[/tex]
Substitute 4 for x
[tex](rs)(4) = 2 * 4[/tex]
[tex](rs)(4) = 8[/tex]
Find the distance from the point (0, 3) to the line y = 3x – 9. Round your answer to the nearest tenth.
The distance is about
units.
Answers
Answer:
4
Step-by-step explanation:
This is a vague question so I understand why you reached out for help. Please not that my answer is not correct in case the problem is subliminally asking for the shortest distance, but there is no indication of that on the question prompt.
The graph is not drawn to scale.
The distance between the line and the point is 4 units.
What is Distance formula?The formula to find the distance between the two points is usually given by d=√((c-a)² + (d-b)²). This formula is used to find the distance between any two points on a coordinate plane or x-y plane.
Given: line: y= 3x-9
put y= 3
3 = 3x-9
12 = 3x
x= 4
and, the other point is (0, 3).
Now, the distance between theses points
D= √(4-0)² + (3 -)²
D= √4²
D= √16
D= 4 units
Hence, the distance is 4 units.
Learn more about Distance formula here:
https://brainly.com/question/1872885
#SPJ2
Fredrick is making a graph that contains the ordered pairs (0,3),(3,2),(2,1) and (0,0). Will his graph represent a function ?
Answers
The triangles are congruent by what rule?
SAS
SSA
Not congruent
AAS
Answers
Answer: SAS
Step-by-step explanation:
A stockbroker knows from experience that the probability that a client owns stocks is 0.60. P(A) The probability that a client owns bonds is 0.50. P(B) The probability that the client owns bonds if he/she already owns stock is 0.55 What is the probability of a client owning stocks OR bonds
Answers
Answer:
the probability of a client owning stocks OR bonds is 0.825
Step-by-step explanation:
The computation of the probability of a client owning stocks OR bonds is given below:
= P(stocks) + P(bonds) - P(stocks and bonds)
= 0.60 + 0.50 - (0.55 × 0.50)
= 0.60 + 0.50 - 0.275
= 0.825
Hence, the probability of a client owning stocks OR bonds is 0.825
plwase answer ALL the blanks.
Answers
Answer:
its option A
Step-by-step explanation:
what is the inverse f(x)=1/5x
Answers
Answer:
F = 1/5
Step-by-step explanation:
Find the sum of the first 9 terms of the following sequence. Round to the nearest
hundredth if necessary.
4,
8,
16, ...
Answers
Answer:
Your missing a number and your answer is 12
Step-by-step explanation:
Determine which line best represents the line of best fit:
○ Line 1
○ Line 2
○ Line 3
Answers
A group of students made tacos for their class lunch. The number of tacos each student made is shown in the table.
Student Number of Tacos
Jackie 6
Manny
6
Vinny 2
Paula 8
Marta 4
Evelyn 2
Which answer choices describe the ratio 6 : 4?
Select all that apply.
the ratio of the number of tacos Jackie made to the number of tacos Marta made
the ratio of the number of tacos Manny made to the number of tacos Evelyn and Vinny made
the ratio of the number of tacos Paula made to the number of tacos Jackie and Manny made
the ratio of the number of tacos Marta made to the number of tacos Manny made
the ratio of the number of tacos Manny made to the number of tacos Marta made
the ratio of the number of tacos Vinny and Marta made to the number of tacos Vinny and Evelyn made
Answers
Answer:
-the ratio of the number of tacos Jackie made to the number of tacos Marta made
-the ratio of the number of tacos Marta made to the number of tacos Manny made
-the ratio of the number of tacos Manny made to the number of tacos Marta made
-the ratio of the number of tacos Vinny and Marta made to the number of tacos Vinny and Evelyn made
Step-by-step explanation:
There are 4 that apply! Jackie and many both made 6 and Marta made 4 so the ratio is 6:4! Vinny and Marty's combined is 6 and Vinny and evelyn's combined is 4 so the ratio is 6:4!
Which equation represent:
"An unknown number increased by five is 12."
Answers
Can someone help me with this question for my homework 2x+29+11=x+28
Answers
Sure! I'll try!
2x + 29 +11 = x + 28
First, you would put like terms ( the x ) on the same side.
2x + 29 + 11 = x + 28
-2x -2x
Giving you: 29 + 11 = -3x + 28
Then, you would add 29 and 11 together to get 40.
Next, you'd put the 28 on the other side.
40 = -3x + 28
-28 - 28
Giving you: 12 = -3x
halona walks 1.93 kilometers in 23 minutes, assuming constant speed write a proportion that represents how many kilometers in x minutes
Answers
A rectangular garden has a perimeter of 50cm. The length of one side is 15cm. What is the measurement of the width?
Answers
Answer:
The measurement of the width is 10cm.
Me ayudan porfavor no entendí
Answers
¿Qué no entiendes para que pueda ayudarte?
Answer:
Como puedo ayudar?
Step-by-step explanation:
Find the exact value of each of the remaining trigonometric functions of theta when tan theta = -3/4
Answers
Step-by-step explanation:
sinΘ=-3,cosΘ=4,cotΘ=-4/3,secΘ=1/4 & cosecΘ=-1/3
Cam divided x^4
+ 3x² - 4x – 2 by the factor x-2 using synthetic division. His work is shown. Identify his
mistake.
2 1 3 -4 -2
2 10 12
——————
1 5 6 10
x^3+5x^+6x+10
——
x-2
Answers
Answer: cam did not use a zero place holder for the x^3 term
Step-by-step explanation:
Find the output, k, when the input, t, is –7.
k = 10t -19
Answers
Answer:
k = - 89
Step-by-step explanation:
To calculate the output, substitute t = - 7 into the equation for output, that is
k = 10(- 7) - 19 = - 70 - 19 = - 89