Triangle G F E is cut by line segment H J. Line segment H J goes from side G E to F E. The length of G F is 4 x minus 4, the length of H J is x + 3, and the length of J E is x minus 1.
If H is the midpoint of GE and J is the midpoint of FE, determine the following lengths.
HJ =
JE =
Answer:
HJ = 8 JE = 4
Step-by-step explanation:
it is given that H is the midpoint of GE and J is the midpoint of FE. According to the midpoint theorem the line segment connecting the midpoint of two sides is parallel to the three side and its length is half of the third side. since JH is connecting the midpoints.
HJ= 1/2 (GF)
x + 3 = 1/2 (4x - 4)
x + 3 = 2x - 2
x = 5
^ Thus meaning the value of x is 5.
Now you just fill into your equations:
HJ = x + 3 = (5) + 3 = 8
JE = x - 1 = (5) - 1 = 4
Therefore, HJ = 8; JE = 4.
Answer:
HJ = 8
JE = 4
Step-by-step explanation:
Your welcome.
What is the coordinate of the focus
for the following parabola:
(x - 1)^2 = 12(y + 2)
Answer:
D
Step-by-step explanation:
The required focus of the parabola (x - 1)^2 = 12(y + 2) is (1, 1). Option D is correct.
Given that, equation of the parabola,
[tex](x - 1)^2 = 12(y + 2)[/tex]A parabola is cross-section cut out of the cone and represented by an equation [tex]y = 4ax^2[/tex]. Where a is focus.
Here,
[tex](x - 1)^2 = 12(y + 2)[/tex]
Simplify the above parabola equation to stand equation
[tex]y = \frac{1}{4(f-k)} (x-h)^2 + k[/tex]
[tex]y =\frac{1}{4(1-(-2))} (x - 1)^2 - 2[/tex]
Now comparing above the equation,
vertex of a parabola,
h = 1 and k = -2
And focus
So the coordinate of the focus of the parabola = (h, f)
= (1, 1)
Thus, the required focus of the parabola (x - 1)^2 = 12(y + 2) is (1, 1). Option D is correct.
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Help me please!!!!!
Find the zeros of the following factored quadratic function.
f(x) = (9x - 1)(7x - 3)
Answer:
63x^2-34x+3
Step-by-step explanation:
Which statement best describes the product of 4/5 x 10?
Answer:
Step-by-step explanation:
4/5 x 10/1= 40/5
40 divided by 5 equals 8
The answer is 8
what are the coordinates of the resulting point (2,1)
please solve Y Im in desperate need of help..
Answer:
Y = 10
Explanation:
We know that the left and top angles are 45°, the base is 10, and the bottom right angle is 90°, or a right angle. The simplest way I can explain this is the bottom side of the triangle is the same as the right side of the triangle. Meaning "y" would be 10 like the bottom.
If I'm right, I'd appreciate a brainliest as it'd really help me out :D
Belinda has 7 pieces of wood. Each piece of wood measures 3/4 yards. How many yards of wood does she have all together?
Answer:
each wood is 3/4 and there is 7wood so it's 7*3/4
Step-by-step explanation:
7×3/4
=21/4
Jacks puppy weighed 12 pounds at its first veterinary appointment at the second appointment the puppy's weight had increased by 25% what is the weight in pounds of jacks puppy
Answer:
15 pounds
Step-by-step explanation:
Given data
Initial weight= 12 pounds
percent increase in weight = 25%
Let us find the increment
=25/100*12
=0.25*12
=3 pounds
Hence the weight in pounds of jacks puppy is
=3+12
=15 pounds
Sara is packing for vacation she is taking three shirts: yellow (y) white (w) and green (g) she is also taking a pair of jeans (j) a pair of black pants (b) and pair of shorts (s) for shoes, she is packing tennis shoes (t) and a pair of dress shoes (d) each outfit will be made of 1 shirt 1 pair of pants and 1 pair of shoes
Answer:
She has 18 combinations to choose from
Step-by-step explanation:
The tree diagram is as follows
yellow (y) ⇒⇒⇒⇒⇒ a pair of jeans (j)
║ ║⇒⇒⇒⇒⇒⇒⇒⇒⇒tennis shoes (t)
║ ║⇒⇒⇒⇒⇒⇒a pair of dress shoes (d)
║⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒a pair of black pants (b)
║ ║⇒⇒⇒⇒⇒⇒⇒⇒⇒tennis shoes (t)
║ ║⇒⇒⇒⇒⇒⇒a pair of dress shoes (d)
║
║⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒ pair of shorts (s)
║ ║⇒⇒⇒⇒⇒⇒⇒⇒⇒tennis shoes (t)
║ ║⇒⇒⇒⇒⇒⇒a pair of dress shoes (d)
║
║
white (w) ⇒⇒⇒⇒⇒ a pair of jeans (j)
║ ║⇒⇒⇒⇒⇒⇒⇒⇒⇒tennis shoes (t)
║ ║⇒⇒⇒⇒⇒⇒a pair of dress shoes (d)
║⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒a pair of black pants (b)
║ ║⇒⇒⇒⇒⇒⇒⇒⇒⇒tennis shoes (t)
║ ║⇒⇒⇒⇒⇒⇒a pair of dress shoes (d)
║
║⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒ pair of shorts (s)
║ ║⇒⇒⇒⇒⇒⇒⇒⇒⇒tennis shoes (t)
║ ║⇒⇒⇒⇒⇒⇒a pair of dress shoes (d)
║
║
green (g)⇒⇒⇒⇒⇒ a pair of jeans (j)
║ ║⇒⇒⇒⇒⇒⇒⇒⇒⇒tennis shoes (t)
║ ║⇒⇒⇒⇒⇒⇒a pair of dress shoes (d)
║⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒a pair of black pants (b)
║ ║⇒⇒⇒⇒⇒⇒⇒⇒⇒tennis shoes (t)
║ ║⇒⇒⇒⇒⇒⇒a pair of dress shoes (d)
║
║⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒ pair of shorts (s)
║⇒⇒⇒⇒⇒⇒⇒⇒⇒tennis shoes (t)
║⇒⇒⇒⇒⇒⇒a pair of dress shoes (d)
Sara has 3 shirts 3 (pants+ shorts) and 2 shoes to choose from
She has 3*3*2= 18 combinations to choose from
Mr. Brown owns a hardware company and has two trucks that are used to carry supplies. Truck A can carry a total of 3.45 tonnes and truck B 1500kg. What is the combined weight in kg? *
Answer:
4950kg
Step-by-step explanation:
Wendy borrowed a 370-page book from the library. She has already read 20 pages. The book is due back to the library in 7 days. Write an inequality to find the number of pages per day Wendy must read in order to finish the book before it is due.
0 points
Answer:
n ≥ 50
Step-by-step explanation:
Total pages = 370
Read pages = 20
Number of days remaining = 7
Reading rate per day = n
7n + 20 ≥ 370
7n ≥ 370 - 20
7n ≥ 350
n ≥ 350/7
n ≥ 50 pages per day for the remaining 7 days
In circle D, line AB is perpendicular to line CD. Use the diagram to answer a-b. Leave answers in radical form when necessary.
Answer:
AB = 48
AD = 7√2
Step-by-step explanation:
since AD - 26, DB = 26 and DC = 26
AE² = 26² - 10² = 676 - 100 - 576
AE = √576 = 24
AB = 2 x 24 = 48
If arc BC is 45°, then ∠BDC = 45°
AD² = 7² + 7² = 49 + 49 = 98
AD = √98 = 7√2
Can someone please help me?? I have a huge test coming up and I need to review for it. Do you know the answer? If you do, please explain it because i want to be sure the day of the test. Thanks!! 25 Points!!
Answer:
Easy way is completing a square:
x² + 20x - 39 = 10x² + 2*x*10 + 100 = 49 + 100(x + 10)² = 149x + 10 = ± √149x = - 10 ± √149Correct choice is J
Find the surface area of the triangular pyramid
Answer:
[tex](16 \times 13 \times 0.5) \times 4 + 13 \times 13[/tex]
Your friend earns 7x dollars for
working x hours. How much does
your friend earn for working
16 hours? 40 hours?
16 hours $
40 hours $
PLEASE HELP I WILL MARK BRANLIEST FOR FIRST AND CORRECT ANSWER AND NO LINKS
Answer:
I think the Las t answer
Step-by-step explanation:
prime minister and members of the legislature
Answer:
Prime ministierer only :P
Parallelly lines/angle problem
Answer:
142 degrees
Step-by-step explanation:
Use a proportion to estimate each population. (Please solve both questions, thank you) (I’ll reward you with brainliest :)
20.
total counted: 102
tagged counted: 38
total tagged: 56
21.
total counted: 958
tagged counted: 210
total tagged: 305
Answer:
Step-by-step explanation:
Step 1. (The capture) Capture a sample total counted =958, and them back tagged counted=38,total tagged=56
The idea is to estimate the proportion p = m/N of tagged =102.
Step 2. (The recapture) After everything has settled down, capture a new sample of n fish. Count the number of tagged fish. Suppose that k of them are tagged.
It is reasonable that, k/n would be a good estimante for p = m/N.
Accordingly, for an estimate N of N, se solve the equation m/N= k/n.
What are the next three terms in the sequence 3, 6, 9, 12, ...?
Answer:
15, 18, 21
Step-by-step explanation:
Tell whether each event is impossible, unlikely, as likely as not, likely, or certain. Rolling a number cube and getting a number that is less than 7.
Answer:
Certain
Step-by-step explanation:
The answer is certain because all the numbers on a cube are less than 7. So it's impossible to get a number more than 7, or equal to 7.
What is the surface area
Answer: b
Step-by-step explanation:
The scatter plot shows how much puppy weighs within a certain time period. about how much did the puppy gain during this time period?
Subtract 2x2 + 6x – 5 from 7x2 + 3x + 4.
Please help and explain thanks
A. EAD
B. DAC
C. BCA
D. CAE
Answer: EAD
Explanation: The angle mark is in between the points E, A, and D.
PLEASE HELP I WILL GIVE YOU BRAINLIEST
Answer
32
Step-by-step explanation:
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Based on a random sample of 500 people, 45 reported they have more than one
dog. Based on these results, how many out of 1,200 people would you expect to
have more than one dog?
A
1,008
B
60
С
165
D
108
Answer:
I’m guessing 108 or 165
Step-by-step explanation:
because if 45/500 if you double that it would be 90/1000. after 200 is about half of 500 so 45 divided by 2 is 22.5. yeah i’m like no help sorry
Graph the function.f(x) = 3/8 (x−1)(x−9)
Answer:
Step-by-step explanation:
In AKLM, K = 81 cm, l = 41 cm and M=93º. Find the length of m, to the nearest
centimeter.
Answer:
90 is the correct answer
PLZZZZ HELP Alg 2 math
Consider the given equation and graph (picture provided)
What are the approximate solutions to the equation
The approximate solutions of the equations are
A, x = 1 and x = 4.2
How to find solution of system of equations on a graphTo find the solution of a system of equations using a graph, you can Identify the point of intersection
Look for the point(s) where the graphs of the equations intersect. This point represents the solution(s) to the system of equations.
then read the coordinates of the point
From the graph, the x coordinates that gives the point of intersection can be traced to be x = 1 and x = 4.2
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