Answers
Answer:
Solution given:
∆ ABE is similar to ∆ ACD
since their side will be proportional
AB/AC=AE/AD
AB/(AB+BC)=AE/(AE+ED)
63/(63+7)=(7x-40)/(7x-40+18)
9/10=(7x-40)/(7x-22)
doing crisscrossed multiplication
9(7x-22)=10(7x-40)
63x-198=70x-400
400-198=70x-63x
202=7x
x=202/7 or 28.85units.
Answer:
[tex]x=28\frac{6}{7}[/tex]
[tex]x \approx 28.857[/tex]
Step-by-step explanation:
It is given that lines (BE) and (CD) are parallel, thus (<AEB) and (EDC) are congruent by alternate interior angles theorem. Moreover, (<A) is shared between the two triangles, therefore it is also congruent. Hence, triangles (ABE) and (ACD) are similar by (angle-angle) similarity.
Side (AD) is composed of segments (AE) and (ED), therefore one can find the total measure of segment (AD):
AD = AE + ED
AD = 7x - 40 + 18
AD = 7x - 22
Side (AC) is made of segments (AB) and (BC), thus one can find the total length of the side (AC) by adding these two segments:
AC = AB + BC
AC = 63 + 7
AC = 70
When two triangles are similar, the ratios of the sides are equal. Therefore, one can make the following statement:
[tex]\frac{AE}{AD}=\frac{AB}{AC}[/tex]
Substitute,
[tex]\frac{7x-40}{7x-22}=\frac{63}{70}[/tex]
Cross products,
[tex]70(7x-40)=63(7x-22)[/tex]
Distribute,
[tex]490x-2800=441x-1386[/tex]
Inverse operations,
[tex]490x-2800=441x-1386[/tex]
[tex]49x-2800=-1386[/tex]
[tex]49x=1414[/tex]
[tex]x=28\frac{6}{7}[/tex]
Related Questions
the image in down there attached
Answers
Answer:
D
Step-by-step explanation:
For this one, you want to solve it similarly to linear equations.
-13x+11<-24x by adding 24x to both sides becomes 11x<11.
From there, you divide by 11 to isolate x, leaving x<1.
Since the equation has a < symbol (not ≤), the dot is not filled in. X is less than 1, so the arrow goes to the left, making it D.
**This content involves solving and sketching linear inequalities, which you may wish to revise. I'm always happy to help!
Evaluate the question.
-8x = 90
A.) x = 82
B.) x = 45/4
C.) x = -45/4
D.) x = -82
Answers
Answer:
C.) x = -45/4
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityStep-by-step explanation:
Step 1: Define
Identify
-8x = 90
Step 2: Solve for x
[Division Property of Equality] Divide -8 on both sides: x = 90/-8Simplify: x = -45/4Please help I’ll give brainliest
Answers
5x + 14 = −7
solve help me
Answers
Answer:
x = -4 1/5
Step-by-step explanation:
5x + 14 = -7
5x = -21
-21/5 = -4 1/5
Hope this is correct. Have a great day.
Answer:
[tex] \frac{ - 21}{5} \: or \: - 4 \frac{1}{5} \: or \: - 4.2[/tex]
Step-by-step explanation:
[tex]5x+14=−7 \\ 5x=−7−14 \\ 5x=−21 \\ x = \frac{ - 21}{5} \\ x = - 4.2[/tex]
In Mixed fraction.
[tex]x = - 4 \frac{1}{5} [/tex]
Hope it is helpful....A teacher asked her pupils what their favourite school subject was.
PE
273
Maths
English
135
Science
3 pupils said PE was their favourite subject.
How many pupils said that Maths was their favourite subject?
Can someone help me please
Answers
What are the roots of the equation x^2+8x+32=0 in simplest a+bi form?
Answers
Answer:
x = -4 ± i4
Step-by-step explanation:
This is a quadratic equation with coefficients {1, 8, 32}. We apply the quadratic formula to solve for x. The first step is to find the 'discriminant,' b^2 - 4 ac, which here is (8)^2 - 4(1)(32), or 64 - 128, or -64.
A negative discriminant indicates that this quadratic has two unequal complex roots.
-b ± √(b^2 - 4ac)
The formula is x = ----------------------------
2a
which, when evaluated at a = 1, b = 8 and c= 32, yields
-8 ± √(-64)
The formula is x = ----------------------------
2(1)
or:
-8 ± i√64
The formula is x = ----------------- = x = -4 ± i4
2
1+1+1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+3+3+3+3+3+3+3776857867458675894678476845768478574=
Answers
Answer: 3776857867458675894678476845768478614
Step-by-step explanation:
Because it is lol
Lol i think its wrong
Answer:3776857867458675894678476845768478614
The following table represents the highest educational attainment of all adult
residents in a certain town. If a resident who is aged 40-49 is chosen at random, what
is the probability that they have completed a master's degree? Round your answer to
the nearest thousandth.
Answers
Answer:
≈0.576
Step-by-step explanation:
Age under 40: 871+870=1741
Total with master’s degree: 3023
Probability: 1741/3023
≈0.576
Given JKMN is a square and NM= 4x and KM = 6x - 16, find all missing angle measures and side lengths.
Answers
Answer:
The side lengths are 32 units each
Step-by-step explanation:
Given
[tex]NM= 4x[/tex]
[tex]KM = 6x - 16[/tex]
Required
The side lengths and missing angles
Since JKMN is as square, then:
[tex]NM = KM[/tex] -- all sides are equal
[tex]4x = 6x - 16[/tex]
Collect like terms
[tex]4x - 6x = - 16[/tex]
[tex]-2 x = - 16[/tex]
Divide by -2
[tex]x = 8[/tex]
Substitute [tex]x = 8[/tex] in [tex]NM= 4x[/tex]
[tex]NM = 4 * 8[/tex]
[tex]NM = 32[/tex]
The missing angles can't be solved without an attachment.
However, if the missing angles are the angles at the edges of the square, then they measure 90 degrees each (i.e. angles at right angle)
heyy pls answer quickly i need help on math again
Answers
===========================================================
Explanation:
y = 5 because the long leg is exactly sqrt(3) times that of the short leg.
The short leg is always opposite the 30 degree angle.
The hypotenuse x is twice that of y, so x = 2y = 2*5 = 10
All of these rules only apply to 30-60-90 triangles. You can use trig ratios as an alternative route.
Gus has a fish tank that holds 4710 inches^3 of water. He is using a cylinder shaped bucket with a radius of 5 inches and a height of 20 inches to fill the tank.
Answers
Answer:
3
Step-by-step explanation:
How many times will Gus need to fill the bucket to completely fill the fish tank if he doesn’t spill a drop? Use 3.14 for pi
Number of times = volume of tank /volume of cylinder
volume of cylinder = πr²h
3.14 x 5² x 20 = 1570
4710 / 1570 = 3 times
I could use some help on this, thank you!
Answers
Answer:
B
Step-by-step explanation:
[tex]y = 3x - 5 = 37 \\ 3 \times 14 = 42 \\ 42 - 5 = 37[/tex]
The third grade students collected 90 cans of food for a food drive. They want to put an equal number of cans into each of 6 boxes. How many cans will they put into each box?
Answers
90 ÷ 6 = 15
Check it:
15 • 6 = 90
Have a nice day
Brainliest will be appreciated
Answer:
15
Step-by-step explanation:
90/6
10x6=60
90-60=30
6x5=30
30-30=0
10+5=15
Fatima is 1.27 metres tall.
Charlotte is 0.89 metres tall.
Lila is taller than Charlotte by half the difference between Fatima's height and
Charlotte's height.
How tall, in metres, is Lila?
[3]
Answers
Answer:
the answer is equals to:1.715
Lila's height is
What is the unit of height?Metre is the standard measure of height.
Fatima's height, F = 1.27m
Charlotte's height, C=0.89m
Lila is taller than Charlotte by half the difference between Fatima's height and Charlotte's height, so we can write
Lila's height, L = C+((F-C)/2)
L=0.89+((1.27-0.89)/2)=1.08
Hence, Lila is 1.08 metres tall.
To learn more about height, use the link given below:
https://brainly.com/question/10726356
#SPJ2
Find the y-intercept and the x-intercept of the line below.
Answers
Answer:
the x- intercept is 1
the y-intercept is 2
How can we simplify this expression below into a single logarithm? 3log(x)+1/2log(4y)−log(z)
Answers
Answer:
[tex]log(\frac{2x^3\sqrt{y} }{z} )[/tex]
Step-by-step explanation:
We can start by using the power property of logarithms to rewrite the expression. We raise the contents of the logarithm to the power of the coefficient:
[tex]log(x^3) + log([4y]^\frac{1}{2} )-log(z)\\log(x^3) + log(2\sqrt{y})-log(z)[/tex]
Now, we can use both the addition and subtraction properties of logarithms to rewrite the expression. Addition becomes multiplication while subtraction becomes division:
[tex]log(\frac{x^3*2\sqrt{y}}{z} )[/tex]
And to write it in a more proper way:
[tex]log(\frac{2x^3\sqrt{y} }{z} )[/tex]
Jeremy is training for a race. When he
trains, he runs on a path that is
1.25 miles long. Last week, Jeremy ran
on the path 7 times. How many miles
did Jeremy run on the path last week?
Answers
1.25 * 7 = 8.75
Answer: 8.75
Which choice is equivalent to the product below when x is greater than 0?
Answers
I think that's ur answer
. A copy machine can duplicate 2400 copies in one hour. How many copies can it make per minute?
Answers
There are 5 boys and 10 girls in the glee club. Which ratio represents the number of boys in the club to the total number of students in the club?
Answers
Answer:
5:15 or can be simplified to 1:3
Step-by-step explanation:
There are 5 boys out of 15 total students in glee club.
*PLS HELP WILL MARK BRAINLIEST 100 POINTS* A moving truck 7 feet wide and 13 feet high is approaching a semi-circular brick archway. The base of the
archway is 28 feet wide. The road under the archway is divided, allowing for two-way traffic. If the truck remains just
to the right of the median, will it be able to pass under the archway without damage?
Answers
Answer:
No
Step-by-step explanation:
Think of the archway as a semicircle with a radius of 28/2 = 14
The diagonal of the truck is like the hypotenuse of a right triangle with legs of 7 and 13
c² = a² + b²
c² = 7² + 13²
c² = 49 + 169
c² = 218
c = 14.76
Since the diagonal of the truck is greater than the radius of the arch the truck will NOT pass without damage
who could help me out with this
Answers
Answer:
can you send a picture of the drop down menus, i cant see the option choices so i cant help
Step-by-step explanation:
PLSSS HELP!! (Determine the value of x.)
Answers
Answer:
X=4
Step-by-step explanation:
(2x-5)+(4x-1)=7x-10
2x-5+4x-1=7x-10
6x-6=7x-10
6x=7x-4
x=4
3 (4y + 1 ) -20 help
Answers
Answer:
-5
Step-by-step explanation:
3x4=12
3x1=3
12y+3
15-20=
-5
【☆】★【☆】★【☆】★【☆】★【☆】【☆】★【☆】★【☆】★【☆】
My approach to this problem was to simplify the expression.
3( 4y + 1) - 20y
12y + 3 - 20y (expanded the brackets)
-8y + 3 (collected like terms)
The answer is B.
【☆】★【☆】★【☆】★【☆】★【☆】【☆】★【☆】★【☆】★【☆】
What is the value of x in the figure?
90
70
60
50
Answers
Answer:
50
Step-by-step explanation:
90-30=60
x + 10 = 60
-10
x = 60-10
x = 50
Which variable in the following equation represents the slope of the line? y=mx+b
Answers
Hope this help!
Find BD. NO LINKS ALLOWED PLEASE.
Answers
Answer:
Step-by-step explanation:
You have an angle bisector in AD. That means the sides are in proportion to to BD and DC
It's much easier just to look at the proportion.
AB / BD = AC/DC
18 / (3x - 3) = 15/(x + 5) Cross multiply
18*(x + 5) = 15 (3x - 3) Remove the brackets
18x + 90 = 45x - 45 Switch the sides.
45x - 45 = 18x + 90 Subtract 18x from both sides
-18x -18x
27x - 45 = 90 Add 45 to both sides
+45 45
27x = 135
x = 5
But that's not the answer (even though it is correct). You want BD
BD = 3x - 3
BD = 3*5 - 3
BD = 15 - 3
BD = 12
2. Write an inequality for each of the
following situations:
The temperature was less than 7° F.
You must be at least 42 inches tall to ride
the rollercoaster.
The repairs to the car will be at least $125.
You need to sell atleast 25 tickets.
You cant be more than 40 pounds to ride the ponies
There were less than 12 people in my class
Answers
Answer:
the temperature is 6 degress fair hight you are 42inches while riding the ride
solve y= -2^(-x-3)= -4
Answers
Hope that help
Pre-calc - image attached
Answers
Answer:
Step-by-step explanation:
We see that if we do a direct substitution for x as 1 we have a 0 in the denominator, which is a big no-no. So we try to manipulate the function so that doesn't happen. We can factor the numerator. When we do that we get
[tex]\lim_{x \to 1} \frac{(x-1)(x^2+x+1)}{(x-1)}[/tex] The (x-1) terms cancel out leaving us with just
[tex]\lim_{x \to 1} (x^2+x+1)[/tex] which is no longer a problem! This limit is found by subbing in a 1 for x and doing the math. The limit is 3.