Given:
In triangle ABC, [tex]AB=11x-25,DE=4x+1[/tex].
To find:
The measure of DE.
Solution:
From the given figure, it is clear that D is the midpoint of AC and E is the midpoint of BC. So, the line segment DE is the mid-segment of the triangle ABC.
According to the triangle mid-segment theorem, mid-segment of a triangle is equal to half of its base.
Using triangle mid-segment theorem, we get
[tex]DE=\dfrac{1}{2}AB[/tex]
[tex](4x+1)=\dfrac{1}{2}(11x-25)[/tex]
[tex]2(4x+1)=11x-25[/tex]
[tex]8x+2=11x-25[/tex]
Isolate the variable terms.
[tex]8x-11x=-2-25[/tex]
[tex]-3x=-27[/tex]
[tex]x=\dfrac{-27}{-3}[/tex]
[tex]x=9[/tex]
The value of x is 9. So,
[tex]DE=4x+1[/tex]
[tex]DE=4(9)+1[/tex]
[tex]DE=36+1[/tex]
[tex]DE=36+1[/tex]
[tex]DE=37[/tex]
Therefore, the length of DE is 37 units.
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
Answer:
D
Step-by-step explanation:
-3x + 4y = 16
y = 3/4x +4 A is a no
B are perpendicular so No
8x -2y = 20
y = 4x -10 C perpendicular to No
-3x +4y = 18
y= 3/4x + 18/4 yes slopes are the same so parallel
What is the range for the graph shown? A) -3 ≤ y ≤ 2 B) -3 and 2 C) -3 ≤ y ≤ 3 D) -2 ≤ y ≤ 3
Mrs. Harrington is making hair bows for the cheerleading squad. She has 11 yards of ribbon. It takes 34 yards of ribbon for each bow. Which expression correctly shows how to calculate how many hair bows Mrs. Harrington will be able to make?
Answer:
11=34*X
Step-by-step explanation:
i don’t get it at all
Answer:
mean is 3, 6
Step-by-step explanation:
lol
someone please help me
Can someone please help me, ASAP.
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 $
Answer:
$112 for 16 hours
$280 for 40 hours
Step-by-step explanation:
Well, given that if 7x dollars are earned working for x hours (x is assumed to be 1), then $7 are earned for every hour worked. So we can pretty much multiply $7 (Money earned per hour) by 16 and then 40 (Hours worked). 7*16=112, and 7*40=280. And there are your two answers.
Please help ~ +10 Points ~ 1 Question ~ Math ~ Multiple choice
What is an equivalent equation for each given equation? Which one matches after you do your first step?
6x+10=23
Possible Answers:
A. 6x=13
B. 6x = 33
C. 23 = 10 -6x
D. -23 =-6x+10
Image inserted
Please someone help I need this loads of points will be reported if you do weird answers
Answer:
Subtract 6
Step-by-step explanation:
The answer is subtract six because you subtract six every time in the pattern.
Can someone please help Im very confused
As the h(t) shows, the number before the 't' is the height, or meters represented by the small rocket traveling in the air.
The initial height is 77 inches.
The max height is 95 inches.
It was reached at 3 seconds.
Hope this helped.
x
A researcher conducts two studies on child health. In Study 1, 30 children consume either a low, moderate, or high-fat meal (n=10 per group). In Study 2, the researcher conducts the same study, except that a No Meal control group is added, with n = 10 in each group. If Fobt = 3.11 in both studies, then in which study will the decision be to reject the null hypothesis at a .05 level of significance for a one-way between-subjects ANOVA?
Answer:
The answer is "Study 2"
Step-by-step explanation:
In Study 2:
[tex]k =group\ number = 4\\\\df_1 = k - 1 = 4 - 1 = 3\\\\N = Total\ observations \ numbers = 30 + 10 = 40\\\\df_2 = N - k = 40 - 4 = 36\\\\Critical \ value( \alpha) (0.05,3,36) = 2.866\\\\Decision\ Rule\ in \ F \ test > F \critical, \ Then \ Reject H_0\\\\F \ test \ (3.11) < F \ critical \ (2.866)\\\\ \therefore H_0 \ is\ reject\\\\[/tex]
Please help, any unnecessary answers will be reported. Thanks :)
Answer:
The area of the trapezoid is 152 square centimeters.
Step-by-step explanation:
The formula for finding the area of a trapezoid is [tex]\frac{a+b}{2} *h[/tex], where a and b are bases and h signifies the height.
Find the second base's length by adding 18 + 2 = 20.
Input values next:
[tex]\frac{18+20}{2} *8=152 cm^2[/tex]
Hope this helps; have a great day!
What is the lateral area of this prism?
Rebecca supplies costumes to a number of theater companies and recently lent out a number of different hats. turbans 6 berets 3 mortarboards 3 top hats 2 What is the experimental probability that the next hat requested from Rebecca's inventory will be a turban? Write your answer as a fraction or whole number.
Using it's concept, it is found that the experimental probability that the next hat requested from Rebecca's inventory will be a turban is of [tex]\frac{3}{7}[/tex].
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In an experimental probability, these number of outcomes are taken from previous trials.
In this problem, out of 14 items, 6 were turbans, hence:
[tex]p = \frac{6}{14} = \frac{3}{7}[/tex]
More can be learned about probabilities at https://brainly.com/question/14398287
Answer:
3/7 dont listen to the other one.
Step-by-step explanation:
Solve 14x + 8 = 22
help me!!
14x + 8 = 22. Okay, so first you want to subtract 8 from itself and 22. Once you did that you should get 14x = 14. Now, you need to divide 14 from both sides. 14/14 = 1. Meaning that x = 1. To check your answer, replace the x values with 1 and solve. 14 X 1 + 8 does equal 22.
its 1
help <3 and ill give you a branist or wtv its called
Answer:
the one thats says add till its 180 degrees i believe
Step-by-step explanation:
Answer:
Determine if the diagonals are congruent
Step-by-step explanation:
I found a quizlet with that same question
hope this helps ^^
please help i’ll give brainliest
Answer:
Organisms that break down dead or decaying organisms
Step-by-step explanation:
Hope this helps :b
Answer:
Organisms that break down dead or decaying organisms.
Step-by-step explanation:
Decomposes are things like bacteria that eat away at dead animals or organisms to break them down. This process also releases carbon dioxide into the air.
I need help fast... Identify the scatter plots as linear association, nonlinear association,or no association.
Answer:
1 non linear
2 linear
3 no association
4 linear
5 non linear
6 no association
I will answer any questions you have
Answer:
linear: Bottom left, and middle top
nonlinear: Bottom middle, top left
no association: top right, bottom right.
Step-by-step explanation:
Linear is like a line it stays close together like a line of ants
nonlinear is curves- like a snake
no association is spread out, like a paint splatter
Get Big Brain for this!!!
Ok so if u go to the very bottom of the world will u be in all the time zones???
Answer:
That would be impossible because you would get melted by the earth core
Step-by-step explanation:
When you say bottom of the world, I'm assuming you mean the middle or the core. Like the other answer said, I'd just die. BUT if I didn't die, then yes, I think I'd be in all the time zones. :) Or I just wouldn't have a sense of time.
We tell time based on how much sunlight we get, so would that mean it would be midnight forever?
HELP ME PLEASE I'll give brainless.
what are these points someone plz help me
Answer:
#1 points (0,2) and (1,5)
#2points (-4,0) and (0,-4)
Step-by-step explanation:
PLEASE HELP ME, THIS IS DUE TODAY!!!
Answer:
i think im late...
Step-by-step explanation:
The area of the bottom of the pool is 150 square feet the pool is 5 feet deep what is the volume of the pool
What is the gradient of the line that passes through the points (0,0) and (3,3)?
Answer:
1
Step-by-step explanation:
the gradient is a value that indicates how much the x value increases as the y value increases. It can be written as
rise/run
or
change in y value/change in x value
or
(y1-y2)/(x1-x2), where we know two coordinates (x1,y1) and (x2,y2).
We have two coordinates (0,0) and (3,3)
Therefore,
x1 = 0, y1 = 0
x2 = 3, y2 = 3
If we plug these values into the formula, it is [tex]\frac{3-0}{3-0} = \frac{3}{3} = 1[/tex]
Question 1: Imagine that we are measuring rain fall with a rain gauge. It is raining
at a rate of 1.25 inches per hour and after 5 hours, there are 6 inches of rain in the
gauge.
How much rain will be in the gauge in 11 hours
Answer:
13.5 inches
Step-by-step explanation:
after 5 hours = 6 inches
11 - 5 = 6 hours to go
1.25 x 6 = 7.5 inches
7.5 + 6 = 13.5 inches
hi please help i’ll give brainliest
Answer:
When it is perpendicular to the ground.
Step-by-step explanation:
Find the volume of the figure.
Answer:
i will not give you the answer but I will tell you how to does it stop cheating because it will get you no where in life. If you ever get a job in the future because you got straight a's from CHEATING and they tell you to do somthing, YOU'RE NOT GONNA BE ABLE TO DO IT. please and thank YOU
Step-by-step explanation:
Add all the numbers and divided by 3
Find the volume of the rectangular prism of 4 1/2, 1 1/2ft, and 6ft
Answer:
V = 4 1/2 x 1 1/2 x 6 = 40 1/2 ft³
Step-by-step explanation:
What is the value of x?
A. 25°
B. 50°
C. 55°
D. 75°
E. 80°
Answer:
Option Bx = 50°Step-by-step explanation:
By the condition,
25° + 105° + x = 180° [Angle sum property of triangle]
=> 130 + x = 180
=> x = 180 - 130
=> x = 50° (Ans)
Determine the slope of the line from the graph.
-1
6
2
Answer:
-1
Step-by-step explanation:
the line is going down, and the dots are all only one interval away- hope this helps :)
Find the proportion.
A local school took a random sample of 500 students, in which 323 carried backpacks. Find the
proportion of students who carry backpacks with a 95% confidence interval. Round your answers to
the nearest hundredth.
Answer:
Step-by-step explanation:
11.3