Answers
Answer:
AB = 5.2 cm , ED = 5 cm
Step-by-step explanation:
Δ ABE and Δ ACD are similar by the AA postulate
Then the ratios of corresponding sides are in proportion , that is
(a)
[tex]\frac{AB}{AC}[/tex] = [tex]\frac{BE}{CD}[/tex] , substitute values
[tex]\frac{AB}{11.7}[/tex] = [tex]\frac{6}{13.5}[/tex] ( cross- multiply )
13.5 × AB = 70.2 ( divide both sides by 13.5 )
AB = 5.2 cm
-------------------------------------------
(b)
[tex]\frac{AE}{AD}[/tex] = [tex]\frac{BE}{CD}[/tex] , substitute values
[tex]\frac{4}{AD}[/tex] = [tex]\frac{6}{13.5}[/tex] ( cross- multiply )
6 × AD = 54 ( divide both sides by 6 )
AD = 9
Then
ED = AD - AE = 9 - 4 = 5 cm
Related Questions
Explain why 4xy and 5x²y are not like terms.
Answers
We could have the numbers
5x^2 and 5x and they wouldn’t be like terms because one has an exponent
Annie bakes cookies and cupcakes in a ratio of 5 to 1 for her gift boxes. Her school needs 36 desserts to sell in a bake sale. How many cupcakes will she bake? How many cookies will she bake? Explain your answers.
Answers
Answer:
30 cookies and 6 cupcakes
Step-by-step explanation:
5+1=6
5:1=6
?:?=36
36/6=6
5x6=30
1x6=6
30 cookies
6 cupcakes
PLS HELP ASAP ILL GIVE BRAINLKEST THANKS
Answers
Answer:
A. b ≤ -3
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
C
Step-by-step explanation:
You answer 21 out of 25 questions correctly on a test. Did you reach your goal of getting 80% or better?
Answers
Answer:
Yes
Step-by-step explanation:
20 needed to get 80 %. You got one more than that so you got slightly more. So yes you did. You can also make 25 to 100 and 21 x4 so that gives you 84 % . So you scored %84.
Good job
Reasoning A store sells packages of comic books with a poster. A poster and 8 comics cost $14.75. A poster and 16 comics cost $22.75. Write a linear function rule that models the cost y of a package containing any number x of comic books. Suppose another store sells a similar package, modeled by a linear function rule with initial value $5.50. Use pencil and paper. Explain which store has the better deal.
The linear function rule is y=
Answers
2) Find the area and perimeter of a semi -circular disc whose radius is 10cm. (take π = 3.14)
Answers
Answer:
Area =Pi r2=3.14×10x10
=3.14×100cm2
=3.14cm2
Perimeter = 2 pi r
=2 ×3.14×10
=6.28cm
Or =Pi d
= 3.14 ×20cm
=62.8cm
Note:R means radius
D means diameter
radius is half of a diameter e.g radius is10 and diameter is 20
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Answer Please will give brainliest.
Answers
Step-by-step explanation:
blue is natural: 1, 4, 0, 2 and root of 25.
green is whole: -9 and -15.
yellow is rational: 2/3
orange is irrational: pi and root of 15.
white is real numbers.
don't know about that purple one.
Rewrite the following equation in slope-intercept form. 2x + 16y = 11 Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answers
Answer:
y=-1/8x+11/16
Step-by-step explanation:
The slope-intercept form is y=mx+b. You have to move over 2x to the other side. After that you have to divide both sides by 16 to get to the y intercept form, so it would end up as y=-1/8x+11/16, where -1/8=m and 11/16=b
You have 2\3 of a pizza left from yesterday. You divide it into 4 equal pieces. What fraction of the pizza is each piece?
Answers
====================================================
Explanation:
Let's say for example this pizza had 6 slices to start with. Two-thirds of this is (2/3)*12 = 4 slices. So you have 4 slices left over from yesterday. Then let's say you hand one slice to each of your four friends. Each friend would have 1/6 of the original pizza.
Assertion - if the mean of five observations X, X+2, X+4, X+6, X+8 is 11 then,Mean of last 3 observations is 8. Reason - Range= Max. Value - Min. Value. (a) Both A and R are true, and R is the correct explanation for A. b) Both A and R are true, and R is not the correct explanation for A. c) A is true but R is false. d) A is false but R is true.
Answers
Julie spent $15 on 3 headbands. Mary spent $48 on 8 headbands. How much more
did Mary spend per headband?
$5.50
$1
$2.13
$4
Answers
Based on the information given, the amount of money that Mary will spend more for the headband will be $1.
Since Julie spent $15 on 3 headbands, the amount per headband will be:
= $15/3 = $5
Since Mary spent $48 on 8 headbands, the amount per headband will be:
= $48/8 = $6
Therefore, we can then calculate the difference between the values that are gotten. This will be:
= $6 - $5 = $1
Therefore, the difference is $1.
Learn more about division on:
https://brainly.com/question/24429956
Explain how to find the greatest number of identical arrangements that can be made with 54 roses and 42 tulips with no flowers left over.
Answers
Answer:
GCF(54, 42) = 6 arrangements
Step-by-step explanation:
The number of such arrangements will be the greatest common factor (GCF) of the two numbers. You recall from your times tables that ...
54 = 6×9
42 = 6×7
The factors 9 and 7 have no factors in common, so 6 is the greatest common factor of 54 and 42.
6 identical arrangements of 9 roses and 7 tulips can be made.
_____
Additional comment
When the numbers are small and found in your memorized times tables, finding the GCF is done by consulting your memory. Otherwise, it can be done by factoring, or by using Euclid's algorithm.
When the numbers are factored to primes, the GCF is the product of the prime factors the numbers have in common.
54 = 2×3×3×3
42 = 2×3×7
These factorizations have 2×3 = 6 in common.
__
Euclid's algorithm has you find the remainder from the division of the larger number by the smaller. When that remainder is not zero, it replaces the larger number, and the process repeats. When that remainder is zero, the divisor is the GCF.
54/42 = 1 r 12
42/12 = 3 r 6
12/6 = 2 r 0 . . . . GCF = 6
This algorithm works on numbers of any size (including fractions and mixed numbers), so is especially useful when the factorization is not obvious.
Factorise: 3x²+17x+10
Answers
Answer:
(3x+2) (x+5)
Step-by-step explanation:
3x²+17x+10
SPLITTING OF MIDDLE TERM
3x²+15x+2x+10
COMMON FACTOR FROM PAIRS
3x(x+5) + 2(x+5)
= (3x+2)(x+5)
PLEASE HELP IM BEGGING. which is function and which is not function please answer all.
Answers
Answer:
B
Step-by-step explanation:
for every given input there is a unique output in B, there are two times in which 5 is the output. So it is not a function
Choose ALL of the transformations that have been applied to the linear function below.
()=−2−4
(It’s multiple choice)
1.Reflected over x-axis
2.Vertical stretched
3.Shifted down 4
4.None of the above
Answers
20. The table shows the numberof days you keep a rented movie before returning it and the total cost of renting the
movie. Find the rate of change in cost with repect to time and interpret its meaning.
Time (days)
4
5
6
Cost (dollars)
6.00
8.25
10.50
Answers
Step-by-step explanation:
According to given table we have pairs of points:
(4, 6.00), (5, 8.25), (6, 10.50)The rate of change is:
(8.25 - 6.00)/(5 - 4) = 2.25or
(10.50 - 8.25)/(6 - 5) = 2.25It is 2.25 and the meaning is:
Rental per day is $2.25You have a coupon for 25% off the price of a mystery book that sells for $7.00. You also have one for 20% off the price of a science fiction book that sells for $6.25. You have $5.00. Which book can you afford to buy? Explain.
Answers
Answer: you can afford to buy both
as $1.75+$1.25 adds up to $3 leaving you $2 to spare.
Step-by-step explanation-
Mystery book: 25% of 7.00= 1.75 ($1.75)
Science Fiction: 20% of 6.25=1.25 ($1.25)
Answer:
You can afford the science fiction book.
Step-by-step explanation:
How to get the amount for the 25% coupon:
$7.00 × 0.25 = $1.75
To get the price of the mystery book using the coupon:
$7.00 - $1.75 = $5.25
The mystery book will cost $5.25.
How to get the price of the 20% coupon:
$6.25 × 0.20 = $1.25
To get the price of the science fiction book using the coupon:
$6.25 - 1.25 = $5.00
The science fiction book will cost $5.00.
You can afford to buy the science fiction book because you have $5.00 and that is the price of the book. The mystery book costs $5.25 and you only have $5, which means that you don't have enough money to buy it.
i need help with how to reason it
Answers
Answer:
X=80
Step-by-step explanation:
As 100⁰ is Opposite to B and AD and EH Are PARALLEL so B=100⁰
180-100
=80⁰
MARK ME BRAINLIESTMr. Ocampo has two kind of fruit in his basket. The ratio of apples to oranges is 3:2. If there are 18 apples then how many pieces of fruit are there.
Answers
Answer:
There are 27 pieces of fruits
Step-by-step explanation:
Given, apples=18
ratio of apples to oranges =3:2
Now, x/18 =3/2
or, 2x=18*3
or, x=54÷2
x =27„
please mark as branliest answer
hope it helps you
need help!!!!
No guessing,no links
Answers
Answer:
d = mn/F
Step-by-step explanation:
F = mn/d
multiply both sides with d
d*F = mn/d*d
dF=mn
divide F from both sides
d/F = mn/F
So..
d = mn/F
Answer:
Given:
[tex] \boxed{ \mathsf{F = \frac{mn}{d} }}[/tex]
Divide both sides by "mn":
[tex] \mathsf{ \frac{F}{mn} = \frac{mn}{d \times mn} }[/tex]
The two mn's on the RHS gets canceled out. So we're left with:
[tex] \mathsf{ \frac{F}{mn} = \frac{1}{d} }[/tex]
Invert the fractions present on either side of the "equals" sign
(In other words, flip it on its head so its numerator becomes its denominator and vice):
[tex] \mathsf{ \frac{mn}{F} = \frac{d}{1} }[/tex]
Hence, we got the value of d:
[tex] \underline{\mathsf{ d= \frac{mn}{F} }}[/tex]
3. Sally invested $5,000.00 in a savings account earning 3.49% simple interest. At the same time
Jon invested $3,000.00 in a money market account at a simple interest rate of 7.5%. How many
years will it take for the two to have the same amount of money in their accounts? How much
money do they have after that time period?
Answers
Answer:
ic hch7y8gygdr6dr6d7twwt7tfx7yuc yc i
order the values from least to greatest
Answers
Answer:
[-1.8], [2.7], 3 2/5, [3.5]
thats the answer
Answer:
|-1.8| = 1
|2.7| = 2
|3.5| = 3
3 2/5 = 4
4.6 = 5
Step-by-step explanation:
Hope this helps!
how do you solve this inequality
[tex]2x - y \leqslant 3[/tex]
Answers
Step-by-step explanation:
I said in your comments, you can solve it for each variables
you have 2 answers
1) 2x<y+3
[tex]x \leqslant \frac{y + 3}{2} [/tex]
2)
[tex]y \geqslant 2x - 3[/tex]
Which graph represents this equation?
y=-2 (24)
-2 -1
1 2314
O1 2 3 4
*232)
2 3 4
Answers
Answer:
its the second option under the first one... which is more than likely C.
Step-by-step explanation:
Solve (MAFS.912.A-REI.2.3)
4
15= 2
+8
A. =1
2 B. =−1
2
C. =2 D. =−2
Answers
Answer:
c,=2d=-2
Step-by-step explanation:
Evaluate -1(-2)(-4)(-2)
Answers
Answer:
16
Step-by-step explanation:
Negative times negative = positive
-1(-2) = 2
2(-4) = -8
-8(-2) = 16
Please consider giving this answer brainliest if it helped you. Thanks!
Answer:
─16
Step-by-step explanation:
1(−2)(−4)(−2) when x=1, y=2, z=5 which equals, ─16
what is the length of a short leg of a 30-60-90 triangle shown below?
Answers
Answer:
5
Step-by-step explanation:
since 30-60-90 triangles are special right triangles, we know that if the short leg=x, the long leg= xsqrt(3). so the short leg= 5 sqrt(3) /(sqrt(3) = 5
solve my math question
Answers
Answer:
letter C
Step-by-step explanation:
keep learning On math
Which table of values represents a linear function?
Answers
Answer:
I don't know it's very hart
The Snyders went out to dinner and their bill was $54.15. How much would a 20% tip cost?
Answers
Answer:
$10.83
Step-by-step explanation:
bill/percent