Answers
===========================================================
Work Shown:
(whole length)*(external part) = (whole length)*(external part)
(EG)*(FG) = (SG)*(HG)
(2x+4)*(4) = (x+5)*(5)
8x+16 = 5x+25
8x-5x = 25-16
3x = 9
x = 9/3
x = 3
Use this x value to find EF
EF = 2x
EF = 2*3
EF = 6
For more information, search out "secant secant formula". It's not a typo that I wrote "secant" twice.
Related Questions
2^12÷2^(k/2 )= 32 find k
Answers
Answer:
k = 14
Step-by-step explanation:
Prime factorize 32
32 = 2 * 2 * 2 * 2 * 2 = 2⁵
[tex]\frac{2^{12}}{2^{\frac{k}{2}}}= 32\\\\\frac{2^{12}}{2^{\frac{k}{2}}}=2^{5}\\\\2^{12-\frac{k}{2}}=2^{5}[/tex]
Both sides base are same.So, compare exponents
[tex]12-\frac{k}{2}=5\\[/tex]
Subtract 12 from both side
[tex]-\frac{k}{2}=5-12\\\\-\frac{k}{2}=-7\\[/tex]
Multiply both sides by (-2),
[tex](-2)*(-\frac{k}{2})=-7*(-2)\\\\k = 14[/tex]
Point A is located at (0, 4), and point C is located at (−3, 5). Find the x value for the point B that is located one-fourth the distance from point A to point C.
Answers
Answer:
x = (-2 , 4.5)
Step-by-step explanation
Hope it helps! later!
K is between J and M. L is
between K and M. M is
between K and N. If JN = 30, KM = 8, and JK = KL = LM, what is MJ?
(please do step-by-step fully)
Answers
Answer:
12
Step-by-step explanation:
for this you need to draw a straight line and plot the points J,K,L,M,N according to the question.
here,
given K lies between J and M, L is between K and M , M is between K and N.
JN= 30, KM=8
JK=KL=LM
MJ= ?
according to the question,
J--------K-------L--------M-------N
KM= 8
KL+LM= 8 (KL+LM=KM)
KL+KL=8 ( given, LM=KL)
2KL= 8
KL=4
so,
JK= KL=4 and LM= KL= 4
now,
MJ= ?
we know
MJ= JK+KM = 4+8= 12
What is the negative square root of 0.25?
Answers
Answer:
-0.5
Step-by-step explanation:
a store sells a 1 1/4 pound of turkey for 9 dollars what is the unit price of the turkey in the package
Answers
Answer:
7.20 dollars
Step-by-step explanation:
1 1/4 can be expressed as 5/4 ((1*4+1) /4)
If price of 5/4 pound of turkey = $9
Price of 1 pound of turkey = $9 / (5/4)
( Same way you'd divide the price of 2 pounds by 2 to get the price of 1 pound)
$9 / (5/4) = $7.2
If you have to invest in an account that pays 5.3 compound annually, after 10 years how much interest is earned
Answers
[tex]\\ \sf\longmapsto Interest=Rate\times Time[/tex]
[tex]\\ \sf\longmapsto Interest=5.3(10)[/tex]
[tex]\\ \sf\longmapsto Interest =53[/tex]
It means that if your principal is $100 after 10years you will receive $53 as interest
Step-by-step explanation:
[tex]thank \: you[/tex]
Below are the times (in days) it takes for a sample of 6 customers from Sarah's computer store to pay their invoices.
33, 16, 29, 41, 36, 37
Find the standard deviation of this sample of times. Round your answer to two decimal places.
=___
Answers
Answer:
8.80
Step-by-step explanation:
(S. D.)^2=summation(x-mean)^2/(n-1)
S. D.=sqrt(388/5)
S. D.=8.80
the area of a parallelogram is 48cm².if the two adjacent sides are 8cm and 6cm, find the length of its diagonal .
Answers
Answer:
10cm
Step-by-step explanation:
Assuming the shape is a rectangle since it's already stated that it's a parallelogram, and the area is stated, we can use the Pythagorean theorem to find the length
[tex]a^{2} +b^2=c^2[/tex], where c will be the length
isolate c
[tex]c^2=a^2+b^2[/tex]
[tex]c=\sqrt{a^2+b^2}[/tex]
substitute for a and b
[tex]c=\sqrt{8^2+6^2}[/tex]
[tex]c=\sqrt{64+36}[/tex]
[tex]c=\sqrt{100}[/tex]
[tex]c=10[/tex]
Write the equation in standard form then factor the left side of the equation. 2x^2=28-x
Answers
Answer:
Step-by-step explanation:
Standard for is 5x=28. Factoring gives you x=28/5
Atlantic Hurricanes
Number
1925
1930
1935
1940
1945
1950
1955
1960
1965
1970
1975
Year
Between which years was
the biggest change in the
number of hurricanes?
Answers
Answer:
1950
Step-by-step explanation:
because 1950 column has the most highest number which is 11
Answer:
Between 1945 and 1950 ( from 5 to 11 ),
Step-by-step explanation:
Si Juana tiene dos perros y lo simbolizamos y 2p y le regalan un hato y lo simbolizamos por g como se representa en el leguaje algebraico.
A) 3P
B) 3G
C) 2PTG
D) 2P-G
Answers
Please help could you explain or show work so I will remember how to do problems like this?
Problem: 4x - (x - 4) = - 20
I desperately need a good grade because this is my first grade.
Correct answer is brainiest!
Answers
Answer:
x = -8
Step-by-step explanation:
4x - (x - 4) = - 20
Distribute the minus sign
4x - x +4 = -20
Combine like terms
3x+4 = -20
Subtract 4 from each side
3x+4-4 = -20-4
3x = -24
Divide by 3
3x/3 = -24/3
x = -8
Answer:
x = -8
Step-by-step explanation:
4x - (x - 4) = -20
~Simplify
4x - x + 4
~Subtract 4 to both sides
3x = -24
~Divide 3 to both sides
x = -8
Best of Luck!
f (8^9)p = 8^18, what is the value of p? (4 points)
Answers
Answer:
p=8^9
Step-by-step explanation:
Using the order of operations, what should be done first to evaluate 12+(-6)(3)+(-2)?
O Divide 12 by 5.
O Multiply -6 and 3.
O Divide 12 by -6.
Add 3 and -2.
Answers
Answer:
hello there...
you know BODMAS for sure
First brackets then of then divi then multi then add and then subtract
going by BODMAS
we need to first of all multiply of -6 and 3
hence ans is multiplying -6 and 3
( option 1 Is wrong by the equation u sent if the equation is correct then ans is which given bur by options I think equation is wrong becoz I don't see divide symbol)
The diameter of a wheel of a car is 30cm. If the car travels at an average speed of 13.2m/s, find the number of revolutions made by the wheel per hour, giving your answer correct to the nearest whole number.
Answers
Answer:
Approximately [tex]50420[/tex] revolutions (rounded to the nearest whole number.)
Step-by-step explanation:
Convert the diameter of this wheel to meters: [tex]d = 30\; \rm cm = 0.30\; \rm m[/tex].
Circumference of this wheel:
[tex]\pi \, d = \pi \times 0.30\; \rm m \approx 0.942\; \rm m[/tex].
Distance travelled in one hour:
[tex]\begin{aligned}v \cdot t &= 13.2 \; \rm m \cdot s^{-1} \times 3600\; \rm s \\ &= 47520\; \rm m\end{aligned}[/tex].
Number of revolutions required for covering that distance:
[tex]\displaystyle \frac{47520\; \rm m}{(\pi \times 0.30\; \rm m)} \approx 50420[/tex].
What is the length of BD?
Answers
Answer:
BD = 10 √3
Step-by-step explanation:
ABC ∆ ,
BD ÷ 20 = sin 60
BD = 20 sin 60
BD = (20 √3) / 2
= 10 √3
Find n.
help pleaseeee
Answers
Answer:
C
Step-by-step explanation:
Im pretty sure its c, i took this test not too long ago.
hurry PLEASE i'm unsure of this
Answers
Answer:
Infinite solutions
Step-by-step explanation:
x + 4y = 7 --------------(I)
8y = 14 - 2x
⇒ 2x + 8y = 14 -----------(II)
[tex]\frac{a_{1}}{a_{2}}=\frac{1}{2}\\\\\frac{b_{1}}{b_{2}}=\frac{4}{8}=\frac{1}{2}\\\\\frac{c_{1}}{c_{2}}=\frac{7}{14}=\frac{1}{2}\\\\\frac{a_{1}}{a_{2}}=\frac{b_{1}}{b_{2}}=\frac{c_{1}}{c_{2}}=\frac{1}{2}[/tex]
So, infinite solutions
Answer:
G
Step-by-step explanation:
Given the 2 equations
x + 4y = 7 → (1)
8y = 14 - 2x → (2)
make x the subject of (1) by subtracting 4y from both sides
x = 7 - 4y
Substitute x = 7 - 4y into (2)
8y = 14 - 2(7 - 4y) ← distribute
8y = 14 - 14 + 8y
8y = 8y
Since both sides are equal this indicates the system has infinite solutions
for f (x)= -x + 8, what is the value of x for which f(x) = 9?
Answers
Answer:
x=-1
Step-by-step explanation:
f (x)= -x + 8
Let f(x) = 9
9 = -x+8
Subtract 8 from each side
9-8 = -x+8-8
1 = -x
Multiply each side by -1
-1 = x
Is A ABC similar to A DEF? Why or why not?
B
E
8 ft
95
6 ft
95°
d
25°
60°
25°
60°
А
10 ft
F
CD
7.5 ft
#
Choice
A.
Yes, because the angles are congruent and the sides are
proportional
B.
Yes, because if at least one pair of angles are equal, the
triangles are similar.
C.
No, because although the angles are congruent, the sides are
not.
D.
We cannot tell because the third side is not given.
A
B
С
D
Answers
Answer:
Its either A or B
Step-by-step explanation:
I am not sure tho
Answer:
B ,because they are similar
my teacher told me
(x^2+12x+36)-(x-1)^2
x^2-4xy+4y^2
16x^2-8x+1
x^2+4x+4
4x^2+12xy+9y^2
x^2-8x-16
4x^2-16
x^2-1
x^2+6x+9
9x^2-25y^4
16x^2-8x+1
Answers
Answer:
Hey I'm sorry I didn't get to answer your question it's just that I need the points because I don't have enough to get help with my question. I hope you get the answer that you need for you question. Good Luck :)
Step-by-step explanation:
[tex]3(x+2)2+4(x+2)+1=0\\[/tex]
Answers
Answer:
-3
-7/3
Step-by-step explanation:
Let u=x+2
We need to now solve 3u^2+4u+1=0 for u.
I'm going to try factoring. 3u (u)=3u^2 and 1(1)=1 so I'm going to try factored form (3u+1)(u+1).
Since 3u(1)+1(u)=4u, we are done.
Since (3u+1)(u+1)=0, then either 3u+1=0 or u+1=0.
Let's solve u+1=0 by subtracting 1 on both sides which obtains for us that u=-1.
Let's solve 3u+1=0 by subtracting 1 and then dividing both sides by 3 which obtains for us u=-1/3.
Since u=x+2, we are down to just solving the following:
x+2=-1 and x+2=-1/3
Both equations require us to subtract 2 on both sides.
The solutions are
x=-1-2=-3 and x=-1/3-2=-7/3
Answer:
Step-by-step explanation:
[tex]\Large \boldsymbol {} Let : t=x+2 \ \ ; \ \ t^2=(x+2)^2\\\\3(x+2)^2+4(x+2)+1 =0 \\\\\\3t^2+4t+1=0 \\\\D=16-12=4 \\\\ t_{1}=\dfrac{-4-2}{6} =-1 \ \ ; \ \ \boxed{x_1=-3 }\\\\\\ t_2=\dfrac{-4+2}{6} =-\dfrac{1}{3} \ \ ; \ \boxed{x_2=-2\frac{1}{3} }[/tex]
What is the common ratio of the geometric
Answers
the answer is B. 7
Step-by-step explanation:
it's the number u see the most therefore its the most common
Answer:
D. 10 maybe?
Step-by-step explanation:
because it moves a decimal with every number. im not sure I hope it's correct. it adds on a zero
Where do I get the second number from? I’m confused lol
Answers
Answer:
(1, 0)
Step-by-step explanation:
You have to follow the horizontal line when the coordinate x=1, until the y-axis, so you'll realize that y=0
Answer:
2/2,0/2 = (1,0)
Step-by-step explanation:
(3,1)(-1,-1)
midpoint (x1+x2)/2,(y1+y2)/2
find the measure of one interior angle for the following regular polygon
Answers
Answer:
144 degrees
Step-by-step explanation:
We can use the formula (n-2)(180), where n = number of sides, to find the sum of all the interior angles in the decagon. Since a decagon has 10 sides:
(n-2)(180) = ?
(10-2)(180) = ?
(8)(180) = 1440.
Now, to find one interior angle in the decagon, divide 1440 by the number sides in our polygon (10).
1,440/10 = 144
= 144 degrees
a two-digit number is 5 times as large as the sum of its digits. What number is it?
Answers
Answer:
45
Step-by-step explanation:
CHECK ANSWER:
45 *5 = 225
45+5 = 50
50 < 225
sum < times
I hope this helped !
I WILL GIVE BRAINLIEST!! NO LINKS PLZ
Simplify.
Answers
Answer:
[tex] \large{ \tt{❃ \: S \: O \: L \: U \: T \: I \: O \: N \:❃ }}[/tex]
[tex] \large{ \tt{❊ \: S \: T \: E \: P \: S \: ❊}}[/tex]
[tex] \huge{ \tt{ \: \frac{4 \sqrt{6} }{5 \sqrt{3} } = \frac{4 \: \cancel{ \sqrt{6}} \: ^{\sqrt{2}} }{5 \: \cancel{\sqrt{3} }} }} = \: \boxed{\frac{4 \sqrt{2} }{5} }[/tex]
[tex] \large{ \boxed{ \boxed{ \tt{⤻ \: OUR \: FINAL \: ANSWER : \boxed{ \tt{ \frac{4 \sqrt{2} }{5}}}}}}} [/tex]
Note : In the second step , I divided √6 by √3 as a result of it , I got √2- Hope this helps! Let me know if you have any questions regarding my answer and don't hesitate to reach out to me if you need any other help! :)
3. How many right angles and parallelogram has
Answers
Answer:
parallelogram has 4 right angle.
Answer:
It has 4 angles
Step-by-step explanation:
please help!! will give brainliest
Answers
Answer: 320
Step-by-step explanation:
Step 1) Identify Number of options for each set
For the entree, you have 4 options, for the sides, you have 4 options, and for the drink you have 5
Step 2) Find all possible outcomes
4 options for the entree × 4 options for the first side × 4 options for the second side × 5 options for the drink
Step 3) Solve
4 × 4 × 4 × 5 = 320
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Answers
Answer:
D. 769.7 ft^3
Step-by-step explanation:
because area of a solid is area of the base times the height, so to find the area of the base, it is pi*r^2(3.14*7^2), and that equals to 153.94, times that by 5 and you get 769.7 ft^3
