If the length of overline AC equals 84, what is the length of the midsegment overline DE ?
A) 28
B) 32
C) 36
D) 42
Answers
Similar shapes may or may not be congruent
The length of DE is 42 units
The given parameters are:
[tex]\mathbf{AC = 84}[/tex]
[tex]\mathbf{BA = 2BD}[/tex] --- Because DE is at the midpoint
The equivalent ratio is then represented as:
[tex]\mathbf{BD : DE = BA : AC}[/tex]
Substitute [tex]\mathbf{BA = 2BD}[/tex]
[tex]\mathbf{BD : DE = 2BD : AC}[/tex]
Express as fraction
[tex]\mathbf{\frac{DE}{BD }= \frac{AC}{2BD }}[/tex]
Make DE the subject
[tex]\mathbf{DE= \frac{AC}{2BD } \times BD}[/tex]
[tex]\mathbf{DE= \frac{AC}{2 }}[/tex]
Substitute 84 for AC
[tex]\mathbf{DE= \frac{84}{2 }}[/tex]
[tex]\mathbf{DE= 42}[/tex]
Hence, the length of DE is 42 units
Read more about similar shapes at:
https://brainly.com/question/20536565
Related Questions
What is the slope of (-6,-3) and (-2,-8)
Answers
Answer:
-5/4
Step-by-step explanation:
.......................
The question gives us two points, (-6,-3) and (-2,-8), from which we can find the slope and later the equation of the line.
Finding the Slope
The slope of the line (m) = (y₂ - y₁) ÷ (x₂ - x₁)
= (-8 - (- 3)) ÷ (-2 - (-6))
= - ⁵/₄
Checking my answer:
Finding the Equation
We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line:
⇒ y - (-3) = - ⁵/₄(x - (-6))
y + 3 = - ⁵/₄ (x + 6)
To test my answer, I have included a Desmos Graph that I graphed using the information provided in the question and my answer.
major help.......................
Answers
Answer: C. 85°
Step-by-step explanation:
Answer:
I look lik dis almost dreads and then them types of braces and my eye brows look like that and I got a tattoo on my face but my eyes are blue and I have contacts so no more glasses
Find the slope of the line that passes through each pair of points A. (-3,4) and (2,-3)
Answers
Answer:
slope = (4-(-3))/(-3-2)=7/-5=-[tex]\frac{7}{5}[/tex]
Step-by-step explanation:
Answer: m=-7/5
Step-by-step explanation:
[tex](-3,4) (2-^-3) \\\\\frac{-3-4}{2-^-3} \\m=-\frac{7}{5}[/tex]
pls give the steps and the reasons
Answers
Answer:
m<ADB = m<DBC
because they're alternate interior angles.
m<ABD = m<BDC
because they're alternate interior angles.
DC = AB, opposite sides.
AD = BC, opposite sides.
m<ADB = m<ABD, adjacent angles.
m<BDC = m<DBC, adjacent angles.
SHOW YOUR WORK FOR EACH ONE!
5. 10(x − 1)
6) −7(1 + 4x)
7) 7(−v − 7)
8) 7(2 − x)
9) 4(−7 − x)
10) 5(k − 5)
Answers
Answer:
PLZ MARK BRAINLIEST
Step-by-step explanation:
5. Distribute 10 (x - 1 )
10x - 10 = 10x -10
6. -7 (1+4x)
-7 ( 4x +1)
= -28x -7
7. 7 (-v-7)
= - 7v - 49
8. 7 ( 2 - x )
7 (- x + 2 )
= - 7 x + 14
9. 4 ( - 7 - x )
4 ( - x - 7)
= -4 x -28
10. 5 ( k - 5 )
5k - 25
= 5k - 25
please help with number 3 & 4 PLEASE !! will mark BRAINLIEST
Answers
Answer:
3 is -15/2 and 4 is -3/2
Step-by-step explanation:
If im not mistaken these are the awansers
What is 4 plus 3 plus 6 plus 10
Answers
Answer:
23
Step-by-step explanation:
4+3+6+10
4+3 = 7
7 + 6 = 13
13 + 10 = 23
This is super easy, no offense
Select the final coefficient (factor) and radicand after simplifying
372 +39–162 - 372
A) -9
B) 5
C) 16
D)-8
E)-4
F)6
Answers
hope it helps
#carry on learning!Robin earned $4,320 in 9 weeks and worked 40 hours in each week. How much did he earn per hour?
Answers
you do 4320÷ 9= 108 and that's your answer right there
what are the different types of polygons need it for my primary school sis
Answers
Answer:
Regular Polygons.
Irregular Polygons.
Concave Polygons.
Convex Polygons.
Trigons.
Quadrilateral Polygons.
Pentagon Polygons.
Hexagon Polygons.
What can be described as “shooting stars” that streak across the sky in a brief flash of light?(1 point)
comets
meteors
meteoroids
meteorites
Answers
Answer:
the answers for the quick check:
Step-by-step explanation:
1. d. spiral
2. b stars
3. d. meteors
4. d. as it gets closer to the sun
“Shooting Stars” that streak across the sky in a brief flash of light is Option b) Meteors.
"Shooting stars" are captivating phenomena seen in the night sky. They are commonly mistaken for stars, but they are not stars at all.
Shooting stars, or meteors, are not celestial bodies themselves, but rather the luminous trails created when small space rocks, known as meteoroids, enter Earth's atmosphere at high speeds.
These meteoroids are remnants from comets or asteroids.
When a meteoroid collides with Earth's atmosphere, friction causes it to heat up rapidly.
This intense heat causes the meteoroid to vaporize in a brilliant flash of light, leaving behind a streak across the sky.
This streak is what we commonly refer to as a shooting star or meteor.
Comets, denoted by option (a), are icy bodies that originate from the outer regions of the solar system.
They can produce meteoroids, which in turn create meteors when they enter Earth's atmosphere. However, comets themselves are not what we see as shooting stars.
Meteoroids, as mentioned in option (c), are the actual rocky or metallic fragments that create meteors.
When a meteoroid survives its fiery passage through the atmosphere and lands on Earth's surface, it is referred to as a meteorite, as stated in option (d).
In summary, shooting stars, or meteors, are the dazzling result of meteoroids burning up as they speed through Earth's atmosphere. This captivating display is a reminder of the continuous cosmic activity surrounding our planet, turning the night sky into a canvas of transient and awe-inspiring light shows.
To know more about Meteors here
https://brainly.com/question/14452167
#SPJ3
NOTE: This not a Question of Mathematics, this is a Question from Physics
Complete Question
Choose the correct answer from the given options:
What can be described as “shooting stars” that streak across the sky in a brief flash of light?
a) Comets
b) Meteors
c) Meteoroids
d) Meteorites
Find the value of x
4(x+9) = 3 (x+11) -1
Answers
Answer:
Step-by-step explanation:
4(x+9)= 3(x+11)-1
=4x+36=3x+33-1
=4x+3x= 36+33-1
7x=68
x=9.7
x=10.
The graph represents the data cost for monthly Internet service for a cell phone.
On a coordinate plane, a graph titled Cell Phone Internet Service shows Gigabytes Used on the x-axis and Monthly Cost in dollars on the y-axis. A piecewise function has 3 lines. The 1st line has a closed circle at (0, 15), continues horizontally at y = 15, then has a closed circle at (2, 15). The 2nd line has an open circle at (2, 20) and then continues up to a closed circle at (6, 40). The 3rd line has an open circle at (6, 50) and then continues horizontally at y = 50.
Which function, C(x), represents the monthly cost in dollars in terms of x, the number of gigabytes used in a month?
C(x) = StartLayout enlarged left-brace 1st Row 1st column 15, 2nd column 0 less-than-or-equal-to x less-than-or-equal-to 2 2nd Row 1st column 5 x + 10, 2nd column 2 less-than x less-than-or-equal-to 6 3rd Row 1st column 50, 2nd column 6 less-than x EndLayout
C(x) = StartLayout enlarged left-brace 1st Row 1st column 15, 2nd column 0 less-than-or-equal-to x less-than 2 2nd Row 1st column 5 x + 20, 2nd column 2 less-than-or-equal-to x less-than 6 3rd Row 1st column 50, 2nd column 6 less-than-or-equal-to x EndLayout
C(x) = StartLayout enlarged left-brace 1st Row 1st column 15x, 2nd column 0 less-than-or-equal-to x less-than-or-equal-to 2 2nd Row 1st column 20 x + 5, 2nd column 2 less-than x less-than-or-equal-to 6 3rd Row 1st column 50 x, 2nd column 6 less-than x EndLayout
C(x) = StartLayout enlarged left-brace 1st Row 1st column 15x, 2nd column 0 less-than-or-equal-to x less-than 2 2nd Row 1st column 5 x + 10, 2nd column 2 less-than-or-equal-to x less-than 6 3rd Row 1st column 50 x, 2nd column 6 less-than-or-equal-to x EndLayout
Answers
Answer:
C(x) = 15 0 ≤ x ≤ 2
C(x) = 5x + 10 2 < x ≤ 6
C(x) = 50 x > 6
Step-by-step explanation:
Its A
Answer:
c
Step-by-step explanation:
Question number 13, please help
Answers
Answer:
4)
That is the answer
Wanda increased her Carbohydrate intake from 250 grams a day to 415 grams a day. By what percentage did Wanda increase the amount of carbs she eats daily? *
Answers
Answer: roughly 40 percent
brainliest !!!
Patulong naman po need kona po ngayun to
Just zoom if you don't clearly see it
THANK YOU
Answers
1.d
2.d
hope it helps
...............
DAY 5: 10/28-29/21
8.6.7
21. On a farm, a pigpen is 35 yards from a chicken coop, the chicken coop is 60 yards from a cow
pasture, and the distance between the pigpen and the cow pasture is 95 yards. Which
statement is true?
A
The distances between the pigpen, chicken coop, and cow pasture do not form a right
triangle because 35 + 60 # 95.
B
The distances between the pigpen, chicken coop, and cow pasture do not form a right
triangle because 352 + 602 7952.
The distances between the pigpen, chicken coop, and cow pasture form a right triangle
because 35 + 60 = 95.
с
D
The distances between the pigpen, chicken coop, and cow pasture form a right triangle
because 352 + 602 = 952.
Answers
Answer:
A
Step-by-step explanation:
1. Sara has 8 cents. Zach has double
plus 2 of what Sara has.
How much money does Zach have?
Answers
1.6 + .2 = 1.8
I wish it would specify more on if it’s cents or dollars, but the answer should be 1.8 if you did it this way
8x2=16+2=18
But do check with your own study as well
increase £40 by 35% =
Answers
Answer:
£54
Step-by-step explanation:
An increase of 35% on the original 100% is 100% + 35% = 135% = 1.35 , so
1.35 × £40 = £54
find the value of
[tex] \frac{x + y}{xy} [/tex]
Answers
Please find attached photograph for your answer.
Hope it helps.
Please do comment whether it is useful or not.
ray4918 here to help.
Jack was out at a restaurant for dinner when the bill came. His dinner came to $14. He wanted to leave a 31% tip. How much was his meal plus the tip, before tax, in dollars and cents?
Help please I wasn’t here for this!!!
Answers
Answer:
$18.34
Step-by-step explanation:
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match each linear model to its inverse.
Answers
Answer:
We need the options
Step-by-step explanation:
...
Put the following equation of a line into slope-intercept form, simplifying all
fractions
2x - y = 2
Answers
Explanation: The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.
y = mx + b
Subtract 2x from both sides of the equation.
-y = 2 - 2x
Multiply each term in -y = 2 - 2x by -1
(-y) . -1 = 2 . -1 + (-2x) . -1
Multiply (-y) . -1
Multiply -1 by -1
Multiply y by 1
y = 2 . -1 + (-2x) . -1
Simplify each term
Multiply 2 by -1
y = -2 + (-2x) . -1
Multiply -1 by -2
y = -2 + 2x
Reorder -2 and 2x
y = 2x - 2
which technolgy is nasa devloping that will help astronaughts reach mars?
Answers
Answer:
The Mars 2020 rover mission has major new technologies that improve entry, descent, and landing: Range Trigger, Terrain-Relative Navigation, MEDLI2, and its EDL cameras and microphone.
Step-by-step explanation:
I hope this will help you
Which algebraic expression represents
the phrase "half the value of x" ?
Answers
Answer:
½x - 40
Step-by-step explanation:
which is bigger? 36.2 or 36.12
which is bigger? 9.18 or 9.19
which is bigger? 7.6 or 7.60
Answers
Answer:
36.20
9.19
7.6 and 7.60 are the same number
Step-by-step explanation:
which is bigger? 36.2 or 36.12 ------ 36.2 is bigger
which is bigger? 9.18 or 9.19 ---------- 9.19 is bigger
which is bigger? 7.6 or 7.60 ---------- 7.6 and 7.60 are the same
Which of the following systems of inequalities has no solution?
Answers
Answer:
The third one
Step-by-step explanation:
y=>x+1
y=<x-1
removing y
x-1 => x+1
removing x
we have no solution
By definition, parallel lines have the same slope, in which they have no point of intersection. Therefore, they will have no solution (making them an inconsistent system).
Out of all the given options, the inequality statements in Option C has the same slope of 1 (regardless of the inequality symbol, what matters is their lack of point of intersection because their lines are parallel).
Therefore, the correct answer is Option C: y ≥ x + 1; y ≤ x - 1.
If c-d=7 and c=3-8i what is d
Answers
Answer:
d=-4.......,...........
An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
If,
c - d = 7
c = 3 - 8i
The value of d is -4 - 8i
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 3 = 4 is an equation.
2x + 6 is an equation.
We have,
Two equations:
c - d = 7 _______(1)
c = 3 - 8i _______(2)
We are using the substitution method to solve this problem.
We make the value of a variable from an equation and substitute the value of that variable in the other equation.
From (1) we get,
c - d = 7
Add d on both sides.
c - d + d = 7 + d
c = 7 + d ______(3)
Put (3) on (2) we get,
7 + d = 3 - 8i
Subtract 7 on both sides.
7 + d - 7 = 3 - 8i - 7
d = -4 - 8i
Thus,
If,
c - d = 7
c = 3 - 8i
The value of d is -4 - 8i
Learn more about equations here:
https://brainly.com/question/17194269
#SPJ2
help?? ASAPpppppppppppp
Answers
Answer:
y = x - 4
Step-by-step explanation:
The equation is just y = x shifted down 4 units, so it's y = x - 4. If you have to use all of the symbols, you can write "y = x * 1 - 4 + 0". Otherwise, use the one under "Answer" as it is shorter
Answer:
Step-by-step explanation:
you find slope (y1-y2)/(x1-x2) = (0-1)/(4-5) = -1/-1= 1
then you take a point (4,0)
y-0 = 1(x-4)
I hope this helps!
The queen marys 2’d height above water is about the same as a 14 story building, what is the queen mary twos height above water, pls help this is due today
Answers
Answer: Length 1,132 ft
Step-by-step explanation: Im not sure if this is the one your talking about but here.
