Based on the definition of a parallel line and the Midsegment Theorem the following are the right answers:
1. a.) BD║AE
b.) BF ║CE
c.) DF║CA
2. a.) YZ║RT
b.) RS ║XZ
c.) XY║TS
3. a.) FH = 24
b.) JL = 74
c.) KJ = 60
d.) FJ = 30
4. a.) AE = 26
b.) AN = 58
c.) CT = 21.5
d.) Perimeter of ΔAEN = 127
5. x = 15
6. x = 6
What are Parallel lines?Parallel lines coplanar straight lines that do not meet each other and are equal distance from each other.
The Triangle Midsegment TheoremA midsegment is a line that connects the midpoints of the two sides of a triangle together. Every triangle three midsegments.Based on the Midsegment Theorem of a triangle, the third side of a triangle is always parallel to the midsegment, and thus, the third side is twice the size of the midsegment. In order words, length of midsegment = ½(length of third side).Applying the definition of a parallel line and the Midsegment Theorem the following can be solved as shown below:
1. The pairs of parallel lines in ΔAEC (i.e. the midsegment is parallel to the third side) are:
a.) BD║AE
b.) BF ║CE
c.) DF║CA
2. The segment parallel to the given segments are:
a.) YZ║RT
b.) RS ║XZ
c.) XY║TS
3. Given:
FG = 37; KL = 48; GH = 30
a.) FH = ½(KL)
SubstituteFH = ½(48)
FH = 24
b.) JL = 2(FG)
SubstituteJL = 2(37)
JL = 74
c.) KJ = 2(GH)
SubstituteKJ = 2(30)
KJ = 60
d.) FJ = ½(KJ)
SubstituteFJ = ½(60)
FJ = 30
4. Given:
PT = 13
EN = 43
CP = 29
a.) AE = 2(PT)
SubstituteAE = 2(13)
AE = 26
b.) AN = 2(CP)
SubstituteAN = 2(29)
AN = 58
c.) CT = ½(EN)
SubstituteCT = ½(43)
CT = 21.5
d.) Perimeter of ΔAEN = EN + AN + AE
SubstitutePerimeter of ΔAEN = 43 + 58 + 26
Perimeter of ΔAEN = 127
5. 10x + 44 = 2(8x - 23) (midsegment theorem)
10x + 44 = 16x - 46
Add like terms together10x - 16x = -44 - 46
-6x = -90
Divide both sides by -6
x = 15
6. 19x - 28 = 2(6x + 7) (midsegment theorem)
19x - 28 = 12x + 14
Add like terms together19x - 12x = 28 + 14
7x = 42
Divide both sides by 7x = 6
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what is the lowest common denominator for 2/3 and 3/5
Answer:
15
Step-by-step explanation:
3 times 5 is 15
Compare 37,007 and 30,707. Which
is greater?
Answer: 37,007 is greater
Step-by-step explanation:
Can i get a brainliest
Answer:
37,007 is greater than 30,707
Step-by-step explanation:
Thats because as you can see reading the numbers left to right, the first ones on the far left are both 3s. so so far they're the same. then go to the second number, making sure you're moving left to right. 7 is more than 0 therefor 37,007 is greater than 30,707
Please help me out
Fill in the blanks for this graph
1. This graph crosses the y-axis at______
2. The graph increases in the interval_____
3. The graph decreases in the interval____
Answer:
1 -5
don't know the answer of q2 and q3
Question 4 of 10
Which statement about setting is true as it relates to a story?
A. Setting helps to define a story's point of view.
B. Setting is another word for characterization.
Ο Ο Ο
C. Setting affects character behavior, which drives the plot.
D. Setting comes into play at the end of a story.
SUBMIT
Answer:
First of all not a math question but wtv
the answer is C since where the story takes place affects what the characters do
Hope This Helps!!!
Y'all... Please help I need help with freaking math...
15% of 850 is 127.5 and therefore the laptop would be reduced by 127.50
The sale price of the laptop is 722.50
please help me please
Answer:
x+2y = 5
2x+y=4
->
x+3y = 5
6x-y = 11
->
2x+y=10
x-3y=-2
Step-by-step explanation:
solutions of x and y for each system of equation can be solved by graphing
graph the two equations, and the intercepts of the two equations would be the x and y-values, aka the answers
if there are no intercepts, the equations have no solution
What is the slope of (-3, -2) and (-1, -5) ??
Answer:
-3/2 or -1 1/2
Step-by-step explanation:
The slope, plugging into the equation (y_2-y_1)/(x_2-x_1) would be -5 + 2 / -1 + 3, or -3/2, which can also be - 1 1/2
Answer:
-3/2
Step-by-step explanation:
slope ('m') formula: (difference of the y-values) ÷ (difference of the x-values)
m = -2-(-5) ÷ -3-(-1)
m = 3 ÷ -2
slope = -3/2
ayy yo who want smok wit me
Please help me.........
Answer:
8/15
Step-by-step explanation:
hope this helps!!! :D
Answer: 8/15
Step-by-step explanation: Tangent is opposite/adjacent
The hypotenuse, the longest side of a triangle which is 17. The adjacent side is the second longest which is 15. And the opposite is the shortest or the base of a triangle which is 8.
For the future, remember these:
Sin = opposite/hypotenuse
Cos = adjacent/hypotenuse
Tan = opposite/adjacent
Therefore, tan is 8/15.
Hope this helps.
Students majoring in engineering make up 21% of the students at a university. There are 6,600 total students enrolled at the university, How
many students are majoring in engineering?
Answer:
Step-by-step explanation:
21 percent of 6600 is 1386.
I'm sorry if I'm wrong.
Melody can cycle for 30 miles against the wind in the same amount of
time that is takes her to cycle 66 miles with the wind. If the speed of the
wind is 3 mph, what equation could be used to find Melody's speed
without any wind (x).
Answer:
15x/2*4
Step-by-step explanation:
please help ill give brianliest to whoever gets the question right :)
Answer:
72
Step-by-step explanation:
I this problem I'm sure you're supposed to multiply: 24 x 3 = 72
hopefully this helped :)
Please help trigonometry
Answer:
= 59.36
Step-by-step explanation:
S = 207
so, tan(16) = H/S
tan(16°) = 0.28674539
so H = tan(16) * S = 0.28674539 * 207 = 59.35629573
so the tree high = 59.36 foot
please help brainliest if correct and best explanation
Answer: 120
Step-by-step explanation:
first you distribute 5 to 11 and -17 to get (55 - 85) then you distribute 6 to 14 and -7 to now get (55-85) + (84-42) then you distribute -12 to 2 and 7 to now have (55-85) + (84-42) - ( -24 + -84) to get 120 you multiple when you distruibute for these cause its outside the parenthesis so you multiply the number by everything in the parenthesis
Solve:
13/19- (-1/19)
Answer:
The answer is C! :) hope that helps haha
Darren got 42 out of 56 correct on a test. What percent of the questions did he get correct?
Answer: Darren got 75% of the questions correct.
Step-by-step explanation:
To find the percentage of questions Darren got correct, we can divide the questions he got correct by the total number of questions.
42 ÷ 56 = 0.75
0.75 X 100 = 75
So, Darren got 75% of the questions correct.
What type of slope does the graph have!
Answer:
it either has a postive slope (when lines go uphill from left to right)
a negative slope (when lines go downhill from left to right)
a zero slope (when lines are horizontal)
or a undefined slope (when lines are vertical)
Step-by-step explanation:
hope this helps
Answer:
a negative slope of -2
Explanation:
slope = (y2-y1)/(x2-x1)
points (1,1) (0,3)
x1 = 0 y1 = 3
x2 = 1 y2 = 1
(1-3)/(1-0) = -2/1 = -2
Find the circumference of the object. Use 3.14 or 22 7 for ml. Diameter:9
Answer:
c = 28.26 cm
Step-by-step explanation:
equation for circumference of a circle is 2πr
r = d/2 so here r = 9/2 = 4.5
2 x 3.14 x 4.5 = 28.26
Answer:
C ≈ 28.26 cm
Step-by-step explanation:
The circumference (C) is calculated as
C = πd ( d is the diameter ) , then
C = π × 9 ≈ 3.14 × 9 = 28.26 cm ( to the nearest hundredth )
Please help
What is the domain and range of the function
Answer:
The domain of a function f(x) is the set of all values for which the function is defined, and the range of the function is the set of all values that f takes. They may also have been called the input and output of the function.)
For a new neighborhood, 100 acres of land will be split into 10 lots.How many acres of land will each lot have?
10
Step-by-step explanation:
I think it's 10 my bad if I'm wrong
803 to 2:12
1,460 to 4:00
753 to 1:30
are these proportional?!?
Answer:
no
Step-by-step explanation:
In terms of area per hour, Bob's works at the rate of ...
1460 ft²/(4 h) = 365 ft²/h
Rhonda's rate is ...
753 ft²/(1.5 h) = 502 ft²/h
The rates are different, so they are not proportional.
___
Additional comment
Toni's rate is 803 ft²/(2.2 h) = 365 ft²/h . . . the same as Bob's
Bob's and Toni's rates are proportional.
PLEASE HELP WITH ALGEBRA WILL GIVE BRAINLIEST
Answer:
[tex]\frac{ad}{bd} + \frac{cb}{bd}[/tex]
Step-by-step explanation:
[tex]\frac{a}{b} + \frac{c}{d}[/tex]
[tex]\frac{ad}{bd} + \frac{cb}{bd}[/tex] Multiply by the LCD (bd)
Which expression is equivalent to 7 − 9 ?
Answer:
Try subtracting 9 from 7 to find the value.
Step-by-step explanation:
Let w = 4. Enter >, <, or = to compare the expressions. 3w² + 1 10w + 8
Answer: ≥ without the line on the bottom.
Step-by-step explanation:
I am assuming the expression you are talking about are
[tex]3w^{2} +1[/tex] and [tex]10w+8[/tex].
If we were to replace w with 4 and calculate, we will find the answer:
[tex]3*4^{2} +1=3*16+1=48+1=49[/tex]
[tex]10*4+8=40+8=48[/tex]
Since the first expression, [tex]3w^{2} +1[/tex], is bigger than the second expression, the correct symbol to use is ≥ without the line on the bottom.
What is the circumference of a circle with a diameter of 14 feet?
A. 14 pi feet
B. 96pi feet
C 196pi feet
D. 7 pi feet
Solve for u. (u + 6)(u − 6) = 0
Answer:
u= 6, -6
Step-by-step explanation:
simplify the equation. Isolate the variable.
Hey there!
(u + 6)(u − 6) = 0
DISTRIBUTE “u” WITHIN the PARENTHESES
u(u) + (-6) + 6(u) + 6(-6) = 0
u^2 - 6u + 6u - 36 = 0
COMBINE the LIKE TERMS
u^2 - 36 = 0
ADD 36 to BOTH SIDES
u^2 - 36 + 36 = 0 + 36
CANCEL out: -36 + 36 because it gives you 0
KEEP: 0 + 36 because it helps solve for the u-value
NEW EQUATION: u^2 = 0 + 36
SIMPLIFY IT!
0 + 36 = 36
NEW EQUATION: u^2 = 36
TAKE the SQUARE ROOT
u = ± √36
u = -6 or u = 6
Therefore, your answer is: u = 6 or u = -6
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Find the range for the measure of the third side of a triangle given the measures of two sides.
18 ft and 23 ft
The range for the measure of the third side of the triangle is (5, 38).
What is a triangle?A triangle is a geometric figure with three edges, three angles and three vertices. It is a basic figure in geometry.
The sum of the angles of a triangle is always 180°
Given that,
Two sides of the triangle are 18 ft and 23 ft.
Let the third side of the triangle is x cm.
Since, the third side is greater than the difference of the remaining sides and less than the sum of the two sides.
Implies that,
23 - 18 < x < 23 + 18
5 < x < 38
The range of the third side varies from (5, 38).
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The thermostat for a house is set to 68 °F, but the actual temperature may vary
by as much as 2 °F. What is the range of possible temperatures?
Answer:
the range is 66 to 70 since it can be 2 degrees in either direction
The range of possible temperatures is 66 to 70°F.
It is required to find the range of possible temperatures.
What is Temperature?The degree or intensity of heat present in a substance or object, especially as expressed according to a comparative scale and shown by a thermometer or perceived by touch.
Given:
The thermostat for a house is set to 68 °F, but the actual temperature may vary by as much as 2 °F.
According to given question we have,
∴The range is 66 to 70 °F since it can be 2 degrees in either direction.
Therefore, the range of possible temperatures is 66 to 70°F.
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Solve for X (x-4)(x-3)=0
[tex](x-4)(x-3) =0\\\\\implies x-4 = 0~~ \text{ or}~~ x - 3 = 0\\\\\implies x = 4~~ \text{or}~~ x = 3[/tex]
raplhy jogs at a rate of 4/2 miles in 2/5 of an hour. What is his speed in miles
Answer:
Ralph's speed is 2 miles in 24 minutes.
(Unit rate, Ralph runs 1 mile in 12 minutes)
Step-by-step explanation:
4 divided by 2 is 2 (miles)
2/5 of an hour is 24 minutes (60/5=12+12=24)