Answers
Answer:
Midsegment is 35.
Step-by-step explanation:
TL; DR:
The smaller triangle (with a base of 6x + 5) has side lengths that are twice as small as the entire triangle (the one with a base of 3x+55). So, 2(6x+5) = 3x + 55. x = 5, so the midsegment is 35.
Look at the photo attached below.
Here is the statement/reason:
1. ED ║ AB (Midsegments are parallel to the base)
Note: Then, CA and CB are transversals
2. Then, m∠CED = m∠EAB (corresponding angles)
3. m∠CDE = m∠DBA (corresponding angles)
4. ΔCED is similar to ΔCAB (angle angle)
5. CA = CE + EA
6. CA = 39 + 39 = 78 (Substitution, algebra)
7. ED/AB = CE/CA (similar triangles)
Note: You can also use CD and CB
8. (6x+5) / (3x+55) = 39 / 78 (substitution)
9. (6x + 5) / (3x + 55) = 1 / 2 (algebra)
10. 12x + 10 = 3x + 55, x = 5 (algebra)
11. ED = 6x + 5 (given)
12. ED = 6*5 + 5 = 35 (substitution, algebra)
An explanation of the algebra:
(6x+5) is twice as small as (3x + 55). So, we can write this equation:
2(6x+5) = 3x + 55
12x + 10 = 3x + 55
Subtract 3x from both sides.
9x + 10 = 55
Subtract 10 from both sides.
9x = 45
x = 5.
Now, put that into ED.
6x + 5 = 6 * 5 + 5 = 35
I hope this helps! Feel free to ask any questions!
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Answer:
I think the answer is C=100
Step-by-step explanation:
Hope this right.But if it's not,im so sorry
Step-by-step explanation:
it's 100 bro definitely 100 being honest
Find the slope (12,2),(18,-2)
Answers
Answer:
[tex]\frac{-2}{3}[/tex]
Step-by-step explanation:
y2-y1/x2-x1
-2-2/18-12
-4/6
-2/3
Madelyn uses 58 beads to make a necklace. She plans to sell 36 necklaces at
each craft fair she goes to this summer. She plans to go to 4 craft fairs this
summer. What is the total number of beads that Madelyn will use to make the
necklaces she plans to sell at the 4 craft fairs?
Answers
Take that total and multiply it with 4
2088x4 =8352 (total amount of beads for 4 craft fairs)
X beads for 144 necklaces
X= 58•144/1
X= 8,352 beads
36 necklaces at each fair, she is planing on going to 4 fairs, 36•4=144. She is planing on selling 144 necklaces.
Answer is: 8,352 beads
3.
Find the rate of change for the situation. A chef cooks 9 lbs of chicken for 36 people and 17 lbs of chicken for 68 people.
A. 4 lb per person
B. [tex]\frac{1}{4}[/tex] lb per person
C. [tex]\frac{9}{17}[/tex] lb per person
D. 36 people
Answers
Answer: 1/4
Answer:
Step-by-step explanation:
Here is the complete question: Find the rate of change for the situation:
A chef cooks 9 lbs of chicken for 36 people and 17 lbs of chicken for 68 people.
Given: 1st situation, A chef cook 9 lbs chicken for 36 people.
2nd situation, chef cook 17 lbs chicken for 68 people.
∴ 1st situation, weight of chicken per person=
Weight of chicken per person=
2nd situation, weight of chicken per person=
Weight of chicken per person=
In both the situation chef cook same amount of chicken per person, which is
∴ Rate of change is
Step-by-step explanation:
There are several important information's already given in the question. Based on those information's the answer can be easily deduced.
In the first case,
The amount of chicken the chef cooks for 36 people = 9 pounds
Then
The amount of chicken the chef cooks for 1 person = 9/36
= 1/4 pounds
Now let us take the second case
The amount of chicken the chef cooks for 68 people = 17 pounds
Then
The amount of chicken the chef cooks for 1 person = 17/68
= 1/4 pounds
From the above deductions, it can be concluded that the correct option among all the options given in the question is the third option or option "B".
Can someone help me on this mess...
Answers
Answer:
sas
Step-by-step explanation:
Answer:
one attachment ex picture
A. [-2,3]
B. [-4,5]
C. [1,3]
D. [-5,0]
PLEASE ANSWER ASAP !!!
Answers
Melissa has an outstanding credit card balance of $2200. Interest is charged at a rate of %15 p.A. The amount that Melissa must pay off the card is how much?
Answers
Answer:
$25,300
Step-by-step explanation:
Amount to be paid = interest + amount outstanding
Interest = 0.15 x $2200 = $330
Amount to be paid = $2200 + $330 = $25,300
Regan has been saving her allowance for months, and she finally has enough to buy a new flat-screen TV! The TV's screen is shaped like a rectangle that is 50 inches wide. The screen's area is 1,500 square inches.
Answers
Answer:
The length of the tv is 30 inches
Step-by-step explanation:
area is LxW, so 50 x L = 1,500
L = 1,500/50
L = 30
50 x 30 = 1,500
Xander is starting his own small business. He borrows $10,000 from the bank at a 4% rate for 5 years. Find the interest he will pay on this loan.
Answers
Answer:
$6000
Step-by-step explanation:
Given data
Principal=$10000
Rate=4%
time=15years
The simple interest id found by
SI=PRT/100
substitute
SI=10000*4*15/100
SI= 600000/100
SI=$6000
Hence the interest is $6000
Someone plz help in this math question
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Answer:
BDA=52 angles at the centre is equal to 2× angles at circumference
I will give brainliest
Answers
Please mark me as brainliest ❤️
Answer:
Yeah it's 14, but you can mark the other person brainliest
Step-by-step explanation:
Choose one answer
Pls fast anyone
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Answer:
[tex]x=10[/tex]
Step-by-step explanation:
Pythagorean theorem: [tex]a^{2}+b^{2}=c^{2}[/tex]
Answer:
B
Step-by-step explanation:
Pythagorean theorem states that a²+b²=c²
Through observation, I assumed that 8 was the hypotenuse
I sqaured both the known lengths of the leg and hypotenuse and plugged them into the equation: a²+36=64
I subtracted 36 from 64 leaving me with 28=a²
Then in order to isolate the variable I had to apply square root to both values, cancelling the "²" and leaving me with √28=a
Uma bicicleta está sendo vendida pelo valor de R$ 500, 00. À vista ela tem um desconto de 10%. Paulo está juntando o dinheiro de seus "bicos" para comprar essa bicicleta à vista. Quanto Paulo precisa juntar para comprar essa bicicleta à vista? * R$500, 00 R$450,00 R$400,00 R$350,00
Answers
Answer:
the money that should be collected in cash is 450
Step-by-step explanation:
The computation of the money that should be collected in cash is shown below:
= Sale price - sale price × given discount
= 500 - 500 × 10%
= 500 - 50
= 450
Hence, the money that should be collected in cash is 450
What is the value of x? 12 inches 7 inches 49 inches 35 inches.
Answers
Answer:
98 inches or 8.16667 feet
Step-by-step explanation:
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Profit=_______ -cost price
Answers
Answer:
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Step-by-step explanation:
Profit = selling price -cost price
-4x+y=23 and 4x-9y=-15
Answers
Answer: x= -6; y= -1
Step-by-step explanation:
-4x + y = 23
4x - 9y = - 15
-4x + y = 23
y = 23 + 4x [Add 4x to both side]
4x - 9(23 + 4x) = - 15
4x - 207 - 36x = - 15
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what is the answer to this question?
What is the factored form of 6x2 + 11x – 10?
(2x + ) (x – )
Will give brainliest if you are correct!
Answers
Answer:
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Step-by-step explanation:
Lucy got to work at 7:30z. After 4 hours and 10 minutes she had to leave when did she leave
Answers
Determine if x2 + 25 is the difference of two squares and if it is, factor it.
Answers
Answer:
( x + 5) (x - 5)
Step-by-step explanation:
I need to know this answer right now please help and thank you
Answers
Answer:
your answer would b b haha puns
Question:
Cube A has a volume of 128 cm. If the edge lengths of cube B are half the size of the edge lengths of cube A, what is the volume of cube B?
cube A
cube B
V = 128 cm
V = ?
o 16 cm3
O 64 cm3
O 32 cm
Cannot be determined
Answers
Answer:
16 cm3
Step-by-step explanation:
4 x 4 x 8 = 128
2 x 2 x 4 = 16
Answer:16 cm
Step-by-step explanation:
A car that normally sells for $20000 is on sale for $16000 The sales tax is 7.5%
Answers
Answer:
17,200
Step-by-step explanation:
7.5% of 16,000 is 1,200
16,000+1,200=17,200
Answer:your answer is 17,200
Step-by-step explanation:add 7.5% to 16,000
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Answers
Answer:
No I do not think I can help you with this particular problem as my expertees will not provide me with a given answer
At a baseball game, a vender sold a combined total of 234 sodas and hot dogs. The number of sodas sold was two times the number of hot dogs sold. Find the
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Answers
Answer:
They sold 78 Hot Dogs and 156 Sodas
Step-by-step explanation:
Hope this Helps
Billy Bob has $4,500 in his bank account, which earns interest at a rate of 2.5% per
year. How much money will he have after 15 years?
Round to the nearest cent.
Answers
Answer:
168750
Step-by-step explanation:
4500x2.5=11250x15=168,750 very simple math my friend
If time is four hours from now, the time left till midnight would be quarter that if it is one hour from now. What time is it now?
Answers
Answer:
The time now is 7 pm
Step-by-step explanation:
Suppose that now is the time T.
We know that:
"if time is four hours from now, the time left till midnight would be a quarter that if it is one hour from now".
Then:
if we define midnight as 12, and we assume that T is in the pm range.
Then the "time left till midnigth, assuming that the time is four hours from now" will be written as (12 - (T + 4))
With this in mind, we can write the problem as:
12 - (T + 4) = (1/4)*( 12 - (T + 1))
Now we can solve this for T.
12 - T - 4 = (1/4)*(12 - T - 1)
8 - T = (1/4)*(11 - T)
4*(8 - T) = 11 - T
32 - 4*T = 11 - T
32 - 11 = -T + 4*T
21 = 3*T
21/3 = T
7 = T
Then T = 7 pm
The time now is 7 pm
A function is shown.
g(x) = 125()
What is the value of g(6)?
PLEASE HELP ASAP
Answers
if i can make 60 cakes in 15 minutes , how many can i make per minute what is the unit rate
Answers
4 per a minute
Step-by-step explanation:
A tortoise is walking in the desert. It walks at a speed of 7 meters per minute for 8.96 meters. For how many minutes does it walk?
Answers
Answer:
1.28 minutes
Step-by-step explanation:
Given data
Speed= 7 meters per minute
Distance= 8.96 meters
We know that the expression for the Speed, Distance, and time is given as
Speed= Distance/Time
TIme= Distance/Speed
Substitute
Time= 8.96/7
Time= 1.28 minutes
