Determine the length of AC and DE, and the value of x.

Determine The Length Of AC And DE, And The Value Of X.

Answers

Answer 1

Answer:

n = 16, AC = 60, DE = 30

Step-by-step explanation:

DE joins the midpoints of 2 sides of the triangle and is half the length of the third side, that is

DE = [tex]\frac{1}{2}[/tex] AC , substitute values

n + 14 = [tex]\frac{1}{2}[/tex] (3n + 12) ← multiply both sides by 2 to clear the fraction

2n + 28 = 3n + 12 ( subtract 2n from both sides )

28 = n + 12 ( subtract 12 from both sides )

16 = n

Then

AC = 3n + 12 = 3(16) + 12 = 48 + 12 = 60

DE = n + 14 = 16 + 14 = 30


Related Questions

You would like to start your own business in Hempstead. You borrow
$10,000 form the bank at a 9% rate for 5 years. How much interest
will you pay on this loan?

Answers

Answer:

$ 4,500.00

Step-by-step explanation:

I = $ 4,500.00

Equation:

I = Prt

Calculation:

First, converting R percent to r a decimal

r = R/100 = 9%/100 = 0.09 per year,

then, solving our equation

I = 10000 × 0.09 × 5 = 4500

I = $ 4,500.00

The simple interest accumulated

on a principal of $ 10,000.00

at a rate of 9% per year

for 5 years is $ 4,500.00.

Solve for all values of c in simplest form.
|4-c| = 7

Answers

Answer:

Step-by-step explanation:

|4-c| = 7

4-c = ±7

c = 4 ∓ 7 = -3, 11

c=3
explanation: 4-3 is equal to -7 and those lines make the number positive

A group of 8 friends went to lunch and spent a total of $76, which included the food bill and a tip of $16. They decided to split the bill and tip evenly among themselves.

Which equations and solutions describe the situation? Select two options.
The equation StartFraction 1 over 8 EndFraction (x + 16) = StartFraction 76 over 8 EndFraction represents the situation, where x is the food bill.
The equation StartFraction 1 over 8 EndFraction (x + 16) = 76 represents the situation, where x is the food bill.
The solution x = 60 represents the total food bill.
The solution x = 60 represents each friend’s share of the food bill and tip.
The equation 8 (x + 16) = 76 represents the situation, where x is the food bill.

Answers

Answer:

1) The equation 1/8(x+16)=76/8 represents the situation, where x is the food bill.

2) The solution x=60 represents the total food bill.

These both answers are correct.

Step-by-step explanation:

Since there are 8 group of friends, and the total amount spent by them is $76 including the tip i.e $16.

If x is the food bill our equation can be:

(x+16)/8 = 76/8

 

(x+16)/8 = 9.5

x+16= 9.5*8

x= 76 -16

x= 60

The food bill is x=60.

Step-by-step explanation:

Answer:

A and C

Step-by-step explanation:

got it right on ed

Write three hundred eighty-seven thousandths as a decimal number.

Answers

Answer:

0.387

Step-by-step explanation:

Answer:

The answer would be 0.387

Someone please help me with this I’m on the verge of crying

Answers

Answer:

848.23

Step-by-step explanation:

hope this got you the right anwser

Points a and b both lie on the line y=3x+7. Work out the missing y coordinate for a and the missing x coordinate for B?

Answers

Answer:

y coordinate = 13

x coordinate = -1

Step-by-step explanation:

Trail and error lol

The missing [x] - coordinate of point A is -2 and point B is -1.

What is the general equation of a Straight line?

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.

We have the equation of line as -

y = 3x + 7

Refer to the graph attached of the equation -

y = 3x + 7.

Since, the graph is not given we will mark two random points on it. It can be seen that the missing [x] - coordinate of point A is -2 and point B is -1.

Therefore, the missing [x] - coordinate of point A is -2 and point B is -1.

To solve more questions on straight lines, visit the link below-

brainly.com/question/20400984

#SPJ5

Which of the following is true?
A. The mean is the least
B. The median is the least
C. The mode is the least
D. The mean, median, and mode are equal

Answers

I think A but I’m not so sure I hope this helps

Solve for the quotient 8498 / 70

Answers

Answer:

121.4 is the answer ❣️

Answer:

The answer I got is 121.4

Dale plows his field at a constant rate of 18 mph. If Dale plows for 6 hours, how many miles of his field did he cover? A. 3 mi. B. 18 mi. C. 68 mi. D. 108 mi.

Answers

Answer:

108

Step-by-step explanation:

If Dale has a constant rate that means no matter how many hours, every hour he mows he will mow 18 miles. He mowed for 6 hours, so all you have to do is multiply 6*18, and your answer is 108 miles.

Answer:

a

Step-by-step explanation:

18 divded by 6 is 3

what is 4x-7y=3
x-7y=-15

Answers

Answer:

0 i think if im wrong im sorry

Step-by-step explanation:

Answer:

The answer is x=6, y=3

Step-by-step explanation:

Multiply each equation by the value that makes the coefficients of y opposite(−1)⋅(4x−7y)=(−1)(3)x−7y=−15

Simplify.

−4x+7y=−3x−7y=−15

Add the two equations together to eliminate y from the system.−4x+7y=−3+x−7y=−15−3x=−18

Divide each term by −3 and simplify.

x = 6

Substitute the value found for x into one of the original equations, then solve for y.

y = 3

The solution to the independent system of equations can be represented as a point.(6,3)

The result can be shown in multiple forms.

Point Form: (6,3)

Equation Form: x=6, y=3

How many 0.8 liter glasses can be filled by a 6.8 liter pitcher?

Answers

Answer:

8.5 glasses

Step-by-step explanation:

6.8L / 0.8L = 8.5 glasses

Answer:

8 glasses

Step-by-step explanation:

You divide [tex]6.8/0.8[/tex]

This gives you 8.5 glasses

since 9 glasses is too much, at 7.2 liters. The maximum glasses possible is 8 assuming you're not filling a half of the glass which would be 8.5 glasses.

Find the values of x and y that make the quadrilateral a parallelogram.

Answers

The values of x and y that make the quadrilateral a parallelogram are x=3 and y=1.

What is parallelogram and its properties?

A parallelogram is a four-sided flat shape with opposite sides that are parallel and equal in length.

Properties are:-

Opposite sides if parallelogram are equal.

The consecutive angles of a parallelogram are supplementary (their sum is 180 degrees).

The diagonals of a parallelogram bisect each other (they intersect at their midpoint).

The slope of the line between the points (4x+6, 4y-3) and (7x-3, 3y+1) is:

slope = (3y+1 - 4y+3) / (7x-3 - 4x-6)

= (-y + 4) / (3x-9)

The slope of the line between the points (7x-3, 3y+1) and (3y+1, 4y-3) is:

slope = (4y-3 - 3y-1) / (3y+1 - 7x+3)

= (y-4) / (7x-3 - 3y-1)

= (y-4) / (7x-3 - 3y-1)

Setting these two slopes equal to each other, we have:

(-y + 4) / (3x-9) = (y-4) / (7x-3 - 3y-1)

Simplifying this equation, we get:

(7x-3 - 3y-1)(-y+4) = (3x-9)(y-4)

-7xy + 28x + 3y^2 - 13y - 7 = 3xy - 12x - 9y + 36

Rearranging and simplifying, we get:

3x + 2y = 11 ... (1)

Similarly, we can find the slope of the line between the points (4x+6, 4y-3) and (3y+1, 4y-3) and the slope of the line between the points (7x-3, 3y+1) and (4x+6, 4y-3) and set them equal to each other. We get another equation:

4x - 3y = 9 ... (2)

We now have two equations with two variables. Solving for x and y, we get:

x = 3

y = 1

To know more about equation visit:

https://brainly.com/question/29174899

#SPJ1

A new car is purchased for 17600 dollars. The value of the car depreciates at 11.75%
per year. What will the value of the car be, to the nearest cent, after 11 years?

Answers

Answer:

The value of the car will be

4450.15

Step-by-step explanation:

we know that

11.75%=11.75/100=0.1175

so Let

x-----> the value of the car after 11 years

X=17600(1-0.1175)11=4450.15

Step-by-step explanation:

1. In a karate class there are 22 students. 15 of the students are male. What 6 is the ratio of females to the total number of students?
22:15
15:22
7:22
7:15​

Answers

Answer:

15:22

the ratio of men to women in a karate class is 3.3:1. If there are 100 women, how many men are there?Step-by-step explanation:

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الدعبدالحان وظيفة حزلتةر 09
جیره تازمالت
في الرامام
ستم بدم / رود
للمرة الأول: نظمت مؤسسة تربو برحلة لاگده
64 ) البد قسوا على انتاج بحیک دمكم كل وين ما
ه ماهو التلافي النجم الأفواج التي تحصل عليها؟
) هل يوجد في عدد تلامده اوى و
با ماء الرحلة توقفوا لشاور وحد القاء حبه نیم
الحبة الواحدة DA
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ماهو الميل الكلية التي دفع كل التلامية ؟
از اعلم ان الكلامير الظلموا من هددي تامالت
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) ماهي الدا الي استرتها التلامير الوصول إلى
رد لة نداره ؟
3
1ho 5 min å hull the​

Answers

yep yep yep yep yep yep

Answer:

you said This first is the average, and Abd al-Dahan stressed the job of his party, 09 Jira Tazmalt in Al-Ram, in Dam / Rud, for the first time: The Turbo Foundation organized a trip to Jeddah 64) The Bedouin was cruel to the production of your blood every way

Step-by-step explanation:

thank for the info

prime factorisation of 27,45 and 54​

Answers

Answer:

27= [tex]3\sqrt{3}[/tex] (3 x 3 x 3)

45= [tex]3\sqrt{5}[/tex] (3 x 3 x 5)

54= [tex]3\sqrt{6}[/tex] (3 x 3 x 3 x 2)

Step-by-step explanation:

Answer:

We found the factors and prime factorization of 27 and 45. The biggest common factor number is the GCF number. So the greatest common factor 27 and 45 is 9.

Layla earned an 80% on a recent math
quiz. She scored 16 points. How many
total points were there on the quiz?

Answers

I think it might be 20???

It has to be 20 because if you calculate 80 divided be 16, that’s is 5 and if you add five four time that’s would lead the 16 to 20 and lead the 80 to 100 because 5 times 4 equals 20

Can someone explain me how to do this? No answers, just explanation how to solve. Click on the picture to see the question.​

Answers

Answer:

800 cm

Step-by-step explanation:

x = height of lamp post

set up a proportion:

90/160 = 450/x

cross-multiply:

90x = 72000

x = 800

Answer:

Since you did not want the answer the things you need to solve this question are below.

Step-by-step explanation:

In order to solve this, you will need to read about the scale factor. Here is a picture telling about it briefly.

Pllssss helppppp thank u

Answers

Bike is rented for $9/hour and scooter can be rented for $10/hour. So for the bike it would be 9b (9xb) and the scooter is 10s (10xs) for the total cost of both of them the answer is 9b+10s

Which one of the following fractions is the largest?
5/6 1/3 3/2 5/2

Answers

Answer:

5/2

Step-by-step explanation:

Answer:

5/2 is the largest fraction.

Step-by-step explanation:

To find the largest fraction, we can convert some using the LCD (least common denominator)

Keep 5/6 as is.

1/3 = 2/6

3/2 = 9/6

5/2 = 15/6

So, 5/2 is the largest fraction.

Question please answer thanks if you do

Answers

Answer:

Radius = 6 ft

Diameter = 12 ft

Circumference = 37.7 ft

Step-by-step explanation:

The radius of the circle is the measurement from the center of the circle to the edge. The diagram gives us the radius, 6 ft.

Radius = 6 ft

The diameter of the circle is the measurement from the edge of the circle through the center, extending back to the edge. The diameter is equal to double the radius.

6*2=12

Diameter = 12 ft

The circumference of the circle is the distance around its edge or the perimeter of the circle. We use the below equation to solve for it:

[tex]C=\pi d[/tex] where [tex]d[/tex] is the diameter

Plug the diameter (12) into the equation

[tex]C=\pi (12)\\C=37.7[/tex]

(This answer is approximate)

Circumference = 37.7 ft

I hope this helps!

Write an algebraic expression for the verbal expression
the quotient for 45 and r

Answers

Answer:

45/r

Step-by-step explanation:

You're just doing 45 divided by r.

The triangles are congruent by




1. AAS


2. ASA


3. SSS

Answers

Answer:

the triangles are congruent by ASA.

PLEASE HELP ASAP THIS IS MY LAST QUESTION

Answers

X=2.6 please give brainly

Malala is following this recipe for bread rolls.
She uses 200 g of flour.
How much of each of the other ingredients does she use?

Recipe: Makes 15 bread rolls
500 g flour
10 g salt
8 g yeast
30 mL oil
350 mL water

Answers

Answer:

She will use:

4g salt

3.2g yeast

12 ml oil

140 ml water

Step-by-step explanation:

Since 200 is 40% of 500 we calculate 40% of all the other ingredients and you get your answer

a 9 foot ladder is placed 4 feet from the base of a building.about how high does the ladder reach

Answers

Answer:

8.06 feet

Step-by-step explanation:

use the Pythagorean theorem

9^2 = 4^2 + x^2

81 =16 +x^2

x^2 = 65

x = 8.06 feet

help me out I will gave points​

Answers

Answer:

c

Step-by-step explanation:

what is the degree of the function f(x)=x⁴-5x+8+x²?​

Answers

First put it in decreasing power according to x.

x^4-5x+8+x^2

=x^4+x^2-5x+8

Now this question is asking what is the highest degree of x you see in this function.

4 of course.

Therefore the answer to his question is degree of 4.

Done!

Find (fxg)(a)?thanks !!

Answers

Answer:

12a^2+13a+3

explanation:

multiply:

(3a+1)(4a+3)=(fxg)

12a^2+13a+3

Write the equation in vertex farm
x2 - 8x + 10 = 0

Answers

Answer:

 

x = 4 + √ 6 , 4 − √ 6 hope this is correct-

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