Answers
Answer:
x=4
Step-by-step explanation:
By SAS we know that
[tex]\triangle ABE \sim \triangle ADC[/tex]
by a ratio of
[tex]1:2[/tex]
so we have
[tex]\frac{BE}{DC}=\frac{1}{2}\\\\2BE=DC\\\\2(x+2)=12\\\\2x+4=12\\\\2x=12-4\\\\2x=8\\\\x=4[/tex]
Related Questions
Simplify:
7r + 10 - 2(2r + 3s - 5t) + 2(4s - t) + 5 *
Answers
Answer:
3r+2s+8t+15
Step-by-step explanation:
After simplifying 7r+10-2(2r+3s-5t)+2(4s-t)+ 5, you will have 3r+2s+8t+15.
Andy drove 840 miles in 12 hours. How much miles can he drive per hour?
Answers
Answer:
70
Step-by-step explanation:
840 / 12 = 70
Parallel lines have the same slope
Answers
True.
Any and all lines that are parallel share the same slope.
Given: FG is an median. What can you conclude?
Answers
Answer:
The last option line DG is congruent to line GE
Step-by-step explanation:
Median: a segment whose endpoints are a vertex of a triangle and the midpoint of the opposite side
So basically G is the midpoint of DE because FG is the median.
The last option, we can conclude that line DG is congruent to line GE
What is median?Median is such a number for the arranged data set(ascending or descending order) such that to its left and to its right belong same number of observations.
Median is a line segment whose endpoints are a vertex of a triangle and the midpoint of the opposite side.
We are given that FG is an median.
Thus, basically G becomes the midpoint of DE because FG is the median.
So, DG = GE
Hence,
The last option, we can conclude that line DG is congruent to line GE
Learn more about median;
https://brainly.com/question/17060266
#SPJ2
2. Jill works for Fast Food Inc. and earns $332 per week and is paid bi-weekly. How much is deducted
from her paycheck for Social Security? How much for Medicare?
Social Security Withheld is: $
Medicare Withheld is: $
Answers
Answer:
Social Security: $9.63
Step-by-step explanation:
An article on polygraph testing of FBI agents indicated that the probability of a false-positive (a trustworthy person who nonetheless fails the test) is 0.15. Let x be the number of trustworthy FBI agents tested until someone fails the test. What is the probability that the first false-positive will occur when the third person is tested
Answers
Answer:
[tex]Probability = 0.108375[/tex]
Step-by-step explanation:
Given
Let the probability of false positive be represented with p
[tex]p = 0.15[/tex]
Required
Determine the probability the first occurrence of p was at the third person
We have that:
[tex]p = 0.15[/tex]
The probability that a trustworthy person do not fail the test (q) is:
[tex]q = 1 - p[/tex]
[tex]q = 1 - 0.15[/tex]
[tex]q = 0.85[/tex]
The required probability implies that:
The first person did not fail: i.e. 0.85
The second person did not fail: i.e. 0.85
The third person failed: i.e. 0.15
This is then calculated as:
[tex]Probability = 0.85 * 0.85 * 0.15[/tex]
[tex]Probability = 0.108375[/tex]
Hence, the probability that the first false positive occurred at the third person is 0.108375
What is a new denominator
Answers
1= Numerator
2= Denominator
Find the retail price if original price is $65 and markdown is 12% is it 7.20 or 57
Answers
Answer:
The actual selling price is $58.04 and the markdown is $6.96
Hope this helps :)
PLEASEE HELP ME!!!!!!!!!!!
Answers
Answer:
26%
Step-by-step explanation:
13/50=0.26
0.26x100=26%
Which of these is a ratio table?
Answers
Answer: last one
Step-by-step explanation:
It's the only one with a solid rate of change
What is the slope of the line on this graph
Answers
Answer:
In math, slope is used to describe the steepness and direction of lines
Step-by-step explanation:
what is 0.94 (m) in (cm)
Answers
Answer:
the answer is 94cm
Step-by-step explanation:
1m=100cm
0.94m= 0.94×100
= 94cm
Hope it will help you.......Answer: Convert 0.94 Meters to Centimeter (m to cm) with our conversion calculator and conversion tables. To convert 0.94 m to cm use direct conversion formula below.
0.94 m = 94 cm.
Hope this helps....... Stay safe and have a Merry Christmas!!!!!!! :D
I just want to say that my account got deleted yesterday and i would love if i could get at least 18-25 friends by Christmas.
What is the slope of a line going through these 2 points? Point 1: (12,16) Point 2: (34 , 49)
Answers
Answer:
1.5
Step-by-step explanation:
A cubical water tank is 80cm board.
(i) Find the volume of the tank.
(ii)How many cm.cube of water does it hold?
(iii)If 1000cm.cube = 1 litre,how many litres of water does it hold
Answers
Answer:
(i) 512,000 cubic cm
(ii) 512,000 cubic cm
(iii) The tank holds 512 liters of water
Step-by-step explanation:
Capacity and Volume
Volume is the amount of space a container or object occupies. Capacity is the amount of matter required to fill the container.
(i)
The cubic tank has a side length of a=80 cm. The volume of a cube is:
[tex]V=a^3[/tex]
[tex]V=80^3[/tex]
[tex]C=512,000\ cm^3[/tex]
(ii)
The tank holds 512,000 cubic cm of water
(iii)
Since 1 liter = 1,000 cubic cm, the tank holds 512,000/1,000 = 512 liters of water.
Ted likes to run long distances. He can run 20 \text{ km}20 km20, start text, space, k, m, end text in 959595 minutes. He wants to know how many kilometers (k)(k)left parenthesis, k, right parenthesis he will go if he runs at the same pace for 285285285 minutes.
Answers
Answer:
im looking for the anwser
Step-by-step explanation:
urgent answer please!!! :)
Answers
Answer:
a and b are relative on maxima interval x =-4,x=0
Apollo Spas services 253 hot tubs. If each hot tub needs 115 mL of muriatic acid, how many liters of acid are needed for all of the hot tubs?
Answers
Answer:
29.095
Step-by-step explanation:
115 x 253 = 29095 mL
convert mL to Liters
Just do 29095 divided by 1000
Please help answer the first 5 boxes for brainslt
> for brainslt
Answers
Step-by-step explanation:
5 points is too small for this..
Please help I have ten minutes
Answers
Answer:
$10 per hour
Step-by-step explanation:
As you can see, at (2, 20) the employee earns 20 dollars for 2 hours and at (4, 40) we can see the employee earn $40 per 4 hours. So we can find the slope of these two points to get the answer.
Slope formula y1-y2/x1-x2
so plug it in
40-20/4-2 and we get 20/2 =10
The price of a shirt is usually £64 During a sale the prices in the shop are reduced by 3/4 How much is the shirt in the sale ?
Answers
Answer:
£16
Step-by-step explanation:
Step one:
given data
The price of a shirt is £64
When the price is reduced by 3/4, i.e 0.75
the reduced amount can be calculated as
0.75*64
=£48
Step two:
The new price or the cost of the shirt when the price is reduced is
= 64-48= £16
Parallelogram P was dilated to form parallelogram P prime.
Parallelogram P has side lengths of 10 and x + 3. Parallelogram P prime has side lengths of 20 and 8.
What is the value of x? (Figures not drawn to scale.)
Answers
Answer:
x = 1 is the correct answer of this question plz mark my answer as brainlist plzzzz vote me also .....
Answer:
1 is the answer
Step-by-step explanation:
got a 100% on my test
raj obtained fifty-one per cent score in an exam with 459 marks if ria gets 702 marks in same exam find the percentage obtained by ria
Answers
Answer:
The percentage (score) obtained by Ria is 78%
Step-by-step explanation:
The given percentage Raj obtained in the exam = 51%
The marks Raj obtained = 459 marks
The marks Ria obtained in the same exam = 702
The percentage obtained by Ria is given as follows
Let x represent the total score of the exam, we have;
51% of x = 459
Therefore;
51/100 × x = 459
x = 459 × 100/51 = 900
The total score in the exam = 900
The percentage score obtained by Ria is therefore given as follows;
Ria's percentage score = (Ria's raw score/(The total score of the exam)) × 100 = (702/900) × 100 = 78%
Therefore, the percentage (score) obtained by Ria = 78%.
Please help me fast!!!!. Joe and his family are touring Chicago. They want to visit the Willis Tower, hang out at Navy Pier, and shop on Michigan Avenue before their dinner reservations at 5:10 P.M. They plan to spend 1 hour and 10 minutes at the Willis Tower, 3 hours and 10 minutes at Navy Pier, and 1 hour and 15 minutes shopping. What is the latest time Joe's family can start their tour of Chicago and still make it to dinner on time?
Include A.M. or P.M. in your answer.
Answers
Answer:
1:35 pm
Step-by-step explanation:
Given that:
Chicago tour schedule :
Willis tower = 1 hour 10 minutes
Navy piers = 3 hours 10 minutes
Shopping = 1 hour 15 minutes
(1 hour 10 min) + (3 hour 10 minutes) + (1 hour 15 minutes)
Total touring time in Chicago = 4 hours 35 minutes
Dinner time is slated at 5:10 pm
Latest time to start tour :
5:10 pm - 4 hours 35 minutes = 1 :35 pm
The length of a rectangle is 5cm more than width. Find expression fo the perimeter of the rectangle in terms of the w
Answers
Answer:
Perimeter [tex]=4w+10[/tex]
Step-by-step explanation:
Let [tex]w[/tex] = width of the rectangle.
From the information "length of a rectangle is 5cm more than width", we can write:
Length = [tex]w+5[/tex]
- - - -
Perimeter [tex]= 2l+2w[/tex] (formula for the perimeter of a rectangle)
[tex]=2(w+5)+2w[/tex]
[tex]=2w+10 + 2w[/tex]
[tex]=4w+10[/tex]
∴ The expression of the perimeter of the rectangle in terms of [tex]w[/tex] is [tex]4w+10[/tex].
Hope this helps :)
2×2 write the correct answer below
Answers
Answer:
4 :-)))))))) have a wonderful day!
What is the greatest common factor of
ax^2+ax+a
Answers
Answer:
The GCF is a.
General Formulas and Concepts:
Algebra I
FactoringStep-by-step explanation:
Step 1: Define
ax² + ax + a
Step 2: Condense
Factor GCF: a(x² + x + 1)Find the surface area for the triangular prism below. Whoever answers right the quickest will get brainliest. PLEASE HELP QUICKLY!!!
Answers
Answer:
To answer your question use the code ICE on here to get your answer works every time for me hope this helps
There are 12 pieces of pie left over in the cafeteria. If 6 pieces are apple and 6 are cherry, what fraction of the remaining pieces are apple? Simplify your answer as much as you can.
Answers
Answer:
1/2
Step-by-step explanation:
hi plz help
33 is what percent of 60? part/whole = percent?
Answers
Answer:
36
Step-by-step explanation:
Answer:
55%
Step-by-step explanation:
In order to find the percentage of 33 of 60, you can set up the fraction 33/60 to x/100 like below:
[tex]\frac{33}{60} = \frac{x}{100}[/tex]
Now simply solve for x:
60 * x = 33 * 100
60 x = 3300
x = 3300 / 60 = 55
33 is 55% of 60
The size of the hermit crab’s shell depends on
the size of the crab. Look at the table below. If a 2-inch hermit crab
grows 1 inch per year, use words to describe a rule that will show
how long a 2-inch crab will grow in x years. Write an expression to
find how large this crab will grow in x years.
Length 2 3 4 5 6 7 8 9 10 11 12 ■
Number of Years 0 1 2 3 4 5 6 7 8 9 10 x
Answers
Answer:
i. the length of the of the crab per year is greater than its number of years (x) by 2
ii. length = x + 2
Step-by-step explanation:
i. Given that the size of the hermit crab's shell depends on its size. And it grows 1 inch in a year, then it can be deduced that;
the length of the of the crab per year is greater than its number of years (x) by 2.
ii. To show how large the crab will grow in x years, the required expression that would describe the relationship between the length and years (x) of the crab is:
length = x + 2
lim x → 0, 1, 2,.., x,....
where x is the number of years
Therefore in x years, the length of the crab would be equal to x + 2.