Answer: 9
Step-by-step explanation:
The value of x from the given figure is 17 units.
Given that, triangle GFE is similar to triangle CBE.
What are similar triangles?Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.
Here,
GE/EB = FE/EC
⇒ 60/(x+5) = (4x-1)/24
⇒ (x+5)×(4x-1)=24×60
⇒ 4x²+20x-x-5=1440
⇒ 4x²+19x-1445=0
Solve the equation for x by finding a, b, and c of the quadratic then applying the quadratic formula.
Exact Form:
x=(−19±3√2609)/8
Decimal Form:
x=16.77938918…, -21.52938918…
x=17
Therefore, the value of x from the given figure is 17 units.
To learn more about the similar triangles visit:
https://brainly.com/question/25882965.
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Ryan earns $5 for each small dog he walks and $8 for each large dog he walks. Today he walked 8 dogs and made a total of $49. How many small dogs did Ryan walk?
Ryan walked
small dogs.
Answer:
small dogs= 5
large dogs= 3
Step-by-step explanation:
Step one:
given data
let the number of small dogs be x
and the number of large dogs be y
Ryan earns $5 for each small dog he walks and $8 for each large dog he walks.
He walked 8 dogs and made a total of $49
so
5x+8y=49----------1
x+y=8---------------2
x=8-y
5(8-y)+8y=49
40-5y+8y=49
collect like terms
3y= 49-40
3y=9
divide both sides by 3
y=9/3
y=3
put y= 3 in eqn 2
x+3=8
x=8-3
x=5
Solve and show all steps
PLSSS ASAP I NEED HELP TYSM!!!!
Answer:
n < 6
Step-by-step explanation:
I multiplied the entire equation by 3 to remove the fraction. This got me:
12 + n < 18
I then subtracted 12 (inverse operations) to get:
n < 6
I hope this helps!
Answer:
n=1
Step-by-step explanation: n/3=3+4 is less than 6
f (x) = 3x^2 - 10x + 4
Answer: (5/3, -13/3)
Step-by-step explanation:
Solve x4 - 11x2 + 18 = 0.
Answer:
x=√2, x=-√2, x= 3 and x=-3
Step-by-step explanation:
We need to solve the equation x^4 - 11x^2+18=0
We can replace x^4 = u^2 and x^2 = u
So, the equation will become
u^2 -11u+18 = 0
Factorizing the above equation:
u^2 -9u-2u+18 =0
u(u-9)-2(u-9)=0
(u-2)(u-9)=0
u=2, u=9
As, u = x^2, Putting back the value:
x^2 =2 , x^2 =9
taking square roots:
√x^2 =√2 ,√x^2=√9
x=±√2 , x = ±3
so, x=√2, x=-√2, x= 3 and x=-3
Answer:
The second answer is correct.
Step-by-step explanation:
Mark brainliest if correct please
Which description could be written as a linear function?
a
eight more than twice a number
b
nine more than one divided by a number
c
ten more than the square of a number
d
three more than the product of two numbers
Answer:
a
Step-by-step explanation:
because it is more then eight numbers
Solve for x and find the measure of
Answer:
C
Step-by-step explanation:
180 - 42 - 38 = 100
I will give you the brainliest
Answer:
h= 6.8
Step-by-step explanation:
heyyyy someone help me with this
Answer:
1. 1 hour per day
2. sorry i don't know the answer
Step-by-step explanation:
7hours 30minutes - 1hour 30minutes = 6hours
6 divided by 6 = 1hour
Simplify the expression. 6(x+4)+I
Answer:
6x + 25
Step-by-step explanation
Distribute 6 through the parenthesis
Then add 24 and 1 to get 25
then you end up with 6x + 25
Answer:
6x+25
Step-by-step explanation:
6x+24+1 first distribute 6 into (x+4)
then add all your constants 24+1
then u get 6x+25,ur answer
Find the value of x so that the function has the given value.
h(x)=−7x+10; h(x)=3
Answer:
h = 3 x = 1
Step-by-step explanation:
Angles of evevation and depression
Find y.
Round to the nearest tenth:
w
28°
х
350 Ft
y
y = [? ]ft
Simplify (2V5 - 4)(3 V5+2).
a.
4
c.
b.
8-4v5
d. 22-8v5
Answer:
[tex](2\sqrt{5} - 4)(3\sqrt{5}+2)= 22 - 8\sqrt{5}[/tex]
Step-by-step explanation:
Given
[tex](2\sqrt{5} - 4)(3\sqrt{5}+2)[/tex]
Required
Simplify
[tex](2\sqrt{5} - 4)(3\sqrt{5}+2).[/tex]
Expand brackets
[tex]2\sqrt{5}(3\sqrt{5}+2). - 4(3\sqrt{5}+2).[/tex]
Open each bracket
[tex]2\sqrt{5}*3\sqrt{5}+2\sqrt{5}*2 - 4*3\sqrt{5}-4*2[/tex]
[tex]6 * 5 + 4\sqrt{5} - 12\sqrt{5} - 8[/tex]
[tex]30 + 4\sqrt{5} - 12\sqrt{5} - 8[/tex]
Collect Like Terms
[tex]- 8+30 + 4\sqrt{5} - 12\sqrt{5}[/tex]
[tex]22 - 8\sqrt{5}[/tex]
Hence:
[tex](2\sqrt{5} - 4)(3\sqrt{5}+2)= 22 - 8\sqrt{5}[/tex]
Pls help urgently extra points and mark brainlist easy reading
Answer:
the act of pointing out faults
Step-by-step explanation:
Answer: The answer is A the act of pointing out faults because it talks about how Anna was Criticism of how the or the author on skate
Step-by-step explanation:
15% of what number is 12?
Answer:
1.8 my brotha
Step-by-step explanation:
por que si es tru
Zach says 9.9797 is rounded to 9.980 but luv says it rounds to 10. Who’s correct?
Answer:
Both
Step-by-step explanation:
You can round to whatever digit place you want.
But normally a problem would say something like 'round to the nearest hundredth' or 'round to the nearest integer'
Answer:
both
Step-by-step explanation:
if rounded to nearest integer, it is 10. if to 3 decimal places or 4 significant figures, it is 9.980
I'm not understanding which statement is correct, to me they all look wrong
Answer:
it is the third option because -3.2 is greater than -5.4
Step-by-step explanation:
If f(x)= x/2-2 and g(x)= 2x^2+x-3, find (f+g)(x).
Answer:
2x^{2} + \frac{3}{2} x - 5
Step-by-step explanation:
(f+g)(x) = f(x)+g(x)
(f+g)(x)= [tex]\frac{x}{2} -2[/tex] + [tex]2x^{2} +x-3[/tex] = [tex]2x^{2} + \frac{3}{2} x - 5[/tex]
Find the value of -|-2 + 9|
A. 7
B. -11
C. -7
Answer:
Step-by-step explanation:
Here you go mate
Step 1
-(-2 + 9) Equation/Question
Step 2
-(-2 + 9) Simplify
-(-2 + 9)
Step 3
-(-2 + 9) Solve by adding
-(7)
=-7
Answer
-7
HELP WITH NUMBER ONE PLEASE!! (FACTORING)
Show me how you did it please!!!
23) Find the area of the semi-circle. 18 in
Answer: 127.23 in. ^2
Step-by-step explanation: if the radious is 9 with is half of 18in that area of a whole cicle would be 254.47in. so just divide by 2
A photograph measures five inches wide and six inches long. The picture is enlarged to fit on a wall. If the new larger picture is 150 inches wide, how long is it?
Answer:
180 inches
Step-by-step explanation:
150/5 = 30
so 30 x 6 = 180
Answer:
180 inches
Step-by-step explanation:
I took the quiz
I will give brainiest to whoever answers correctly !!
Answer:
The country's population decreased about 5.8 % during this time period.
Step-by-step explanation:
Population in 1990 = 164 million
Population in 2010 = 155 million
Determine the percent decrease
The formula used is: [tex]Percent\:Decrease=\frac{Initial\:Value-New\:Value}{New\:Value}\times 100[/tex]
We have :
Initial Value = 164 million (164,000,000)
New Value = 155 million (155,000,000)
Finding percent decrease
[tex]Percent\:Decrease=\frac{Initial\:Value-New\:Value}{New\:Value}\times 100\\Percent\:Decrease=\frac{164,000,000-155,000,000}{155,000,000}\times 100\\Percent\:Decrease=\frac{9,000,000}{155,000,000}\times 100\\Percent\:Decrease=5.8\%[/tex]
So, The country's population decreased about 5.8 % during this time period.
pls help asap will give brainliest!!!
Answer:
step two added the 9 to each side :)
plz help me!?!?
and thank u
Answer:
-4.8+2.5-7.8
= -10.1
Step-by-step explanation:
△GFH is similar to △CDE. Identify the corresponding congruent angles.
Answer:
∠G ≅ ∠C
∠F ≅ ∠D
∠H ≅ ∠E
Step-by-step explanation:
X^9/7 convert from exponent form to radical form
Answer:
[tex]x^{\frac{9}{7}} = \sqrt[7]{x^9}[/tex]
Step-by-step explanation:
You can solve this by realising that the denominator of a fractional exponent can be expressed as the base of a radical.
Note also that the order does not matter. You could also express it as
[tex]\sqrt[7]{x}^9[/tex]
The reason this works is that you're effectively breaking the exponent into fractions. The first answer is the equivalent of:
[tex](x^9)^{1/7}[/tex]
and the second would be:
[tex](x^{1/7})^9[/tex]
In both cases, the exponents would be multiplied, giving the same result.
Find an equation of the line having the given slope and containing the given point.
m= -6, (5,9)
The equation of the line is y =
(Simplify your answer. Type your answer in slope-intercept form. Use integers or fractions for any numbers in the expression.)
Answer:
[tex]y = -6x + 39[/tex]
Step-by-step explanation:
The equation of a line has the following format:
[tex]y = mx + b[/tex]
In which m is the slope and b is the y-intercept(value of x when y = 0).
We have that the slope is m = -6:
So [tex]y = -6x + b[/tex]
Contains point (5,9):
This means that when [tex]x = 5, y = 9[/tex]. We replace this into the equation to find b. So
[tex]y = -6x + b[/tex]
[tex]9 = -6(5) + b[/tex]
[tex]b = 39[/tex]
So
[tex]y = -6x + 39[/tex]
please help me please please
NEED HELP ASAP WILL GIVE BRAINLIEST 100pts
Use the right trig notes to complete the following questions. upload your completed task at the bottom of the assignment for extra credit.
Answer:
What type of math is this?
Step-by-step explanation:
question can u put a picture that looks more clear is blury
Freddie has a bag of jelly beans that has the following colours. 2 purple 1 red 4 yellow 3 orange. What is the probability that Freddie will select an orange jelly bean?\ 10% 20% 30% 40%
100 point
Answer:
30%
Step-by-step explanation:
3 out of the ten beans are orange
3/10=30%
Answer:
The answer is 30%.
Step-by-step explanation:
There are 2 purple, 1 red, 4 yellow, and 3 orange jelly beans. If you add all those together, you will get 10. So, 3 out of the 10 jelly beans are orange. That is 3/10 in fraction form. 3/10 equals to 30%, so that is your answer.