What is the value of hin the figure below? In this diagram, ABAD ~ ACBD.
A. 5
B. 80
c. 16/5
D. 80
E. 16
F. 8
Answer:
F. 8
Step-by-step explanation:
The ratio of the long side to the short side is the same in similar triangles. The long side of triangle BAD is AD, which has length 20-4 = 16.
BD/DE = AD/BD
h/4 = 16/h
h^2 = 64 . . . . . . . multiply by 4h
h = 8 . . . . . . . . . . take the square root (matches selection F)
_____
Comment on this geometry
BD = √(AD·DC) is called the "geometric mean" of the segments AD and DC. This geometry has some other geometric mean relationships as well:
BC = √(AC·DC)
BA = √(AC·AD)
3.) Alex makes $31,992 per year and pays about 15% of his gross monthly income in federal
taxes. He wants to find an apartment to rent. Estimate how much he can afford to pay for
rent each month. Then determine how much money he will have after taxes and rent are
paid.
Answer: 1699.5 dollars
Step-by-step explanation:
If Alex makes $31,992 per year, then his monthly income will be
31992/12 = 2666 dollars
and he pays about 15% of his gross monthly income. That is
15/100 × 2666 = 399.9
The remaining money will be
2666 - 399.9 = 2266.1
He should able to afford 25% of his monthly income for rent
25/100 × 2266.1 = 567 dollars
The money left after tax and payment for rent will be
2266.1 - 567 = 1699.5 dollars
Suppose that G(X) = F(x) - 3. Which statement best compares the graph of
G(x) with the graph of F(x)?
A. The graph of G(x) is the graph of F(x) shifted 3 units to the right.
B. The graph of G(X) is the graph of F(x) shifted 3 units down.
C. The graph of G(x) is the graph of F(x) shifted 3 units to the left.
D. The graph of G(X) is the graph of F(x) shifted 3 units up.
Answer:
its B on edge!
Step-by-step explanation:
Please helppp i would really appreciate it
Answer:
All I wanna say is, GG
Point A is located at -11.25 on the number line. Point B is 7.5 less than point A. Where on the number line is point B?
In the diagram below, AB is parallel to CD. What is the value of x?
À
*
45°
O A. 45
OB. 30
O C. 60
OD. 135
SUBMIT
Answer:
x = 45 ⁰ ( corresponding angle )
Answer:
[tex]x = 45 \: \: degrees[/tex]
Answer A is correct
Step-by-step explanation:
[tex] x= 45[/tex]
(Corresponding angles)
Find the values of x and y if 5 ˣ⁻³ x 3²ʸ⁻⁸ =225
Answer:
x = 5, y = 5
Step-by-step explanation:
[tex] {5}^{x - 3} \times {3}^{2y - 8} = 225 \\ {5}^{x - 3} \times {3}^{2y - 8} = 25 \times 9 \\ {5}^{x - 3} \times {3}^{2y - 8} = {5}^{2} \times {3}^{2} \\ equating \: like \: power \: terms \: from \: both \:\\ sides \\ {5}^{x - 3} = {5}^{2} \\ x - 3 = 2 (Bases\: are\: equal, \: so\: exponents \: \\will\: also\: be\: equal) \\ x = 3 + 2
\\ \huge \red{ \boxed{ x = 5}} \\ \\
{3}^{2y - 8} = {3}^{2} \\ 2y - 8 = 2(Bases\: are\: equal, \: so\: exponents \: \\will\: also\: be\: equal) \\ 2y = 2 + 8 \\ 2y = 10 \\ y = \frac{10}{2} \\ \huge \purple{ \boxed{y = 5}}[/tex]
According to the order of operations, which of the following operations should be completed first in the following expression?
2(5 - 3)^2 + 6^2
a. multiply (5 - 3) by 2
b. square (5 - 3)
c. simplify (5 - 3)
d. add (5 - 3) to 6^2
Answer:
c. simplify (5 - 3)
Step-by-step explanation:
PEMDAS
P for parenthesis
Find the surface area
Answer: 952.46
Step-by-step explanation:
Answer:
1,305
Step-by-step explanation:
15 x 15 = 225 divided by 2 = 112.5
5 x 15 = 225 divided by 2 = 112.5
15 x 24 = 360
15 x 24 = 360
15 x 24 = 360
ADD THEM ALL UP
You get 1305
Health department officials are trying to identify the source of an outbreak of an intestinal virus. Which is the most likely source of the
virus?
O A. polluted air
O B. contaminated water
OC. poor nutritional habits
O D. lack of exercise
Answer:
contaminated water
Step-by-step explanation:
intestinal virus is due to contaminated water or food
Answer:
B. Contaminated water
Step-by-step explanation:
This is because you may get it from what is in the water that will affect you in various ways.
Three points, Q, R, and S, lie on the same line such that R lies between Q and S. Find QS if RS = 19 and QR = 32
Answer:
QS=51
Step-by-step explanation:
It was given that RS = 19 and QR =32
QS=x
Q-R was measured and found to be 32
R-S was measured and found to be 19
Q-S will be the sum of Q-R and R-S which is 32+19= 51
QS=51
Answer:
51
Step-by-step explanation:
I just took the exam :)
The graphs of functions f and g for values of x
between -3 and 3 are shown above. Which of
the following describes the set of all x for
which g(x) f(x)?
(A) x > -3
(B) -3< x < -1 or 2 < x< 3
(C) -1 < x< 2
(D) 1
Answer:
yo im pretty sure its B
Step-by-step explanation:
which choice is equivalent to the quotient below?
Answer:
B (9)
Step-by-step explanation:
Someone please help me on this and pls give brief and direct steps for this 7x-15=55. Thanks!
Step-by-step explanation:
7x - 15 =55
7x= 55 +15
7x =70
X=70/7
X=10
Hope this helps..
An oil company fills 1 over 12 of a tank in 1 over 3 hour. At this rate, which expression can be used to determine how long will it take for the tank to fill completely?
1 over 12 ⋅ 3 hours
1 over 3 ⋅ 12 hours
1 over 3 ⋅ 1 over 12 hours
3 ⋅ 12 hours
Answer:
(1/3)x12 hrs
Step-by-step explanation:
Answer:1/12(3)
Step-by-step explanation:
It show that every hour 4 is added to the tank.
I took the test
FAST PLEASE
Which student’s answer most accurately describes the solution to the inequality x less-than negative 3? Andie’s Solution -contains only negative rational numbers -has a lower limit of –3 and no maximum value Bobby’s Solution -contains positive and negative rational numbers -has an upper limit of –3 and no minimum value Carrie’s Solution -contains positive and negative rational numbers -has a lower limit of –3 and no maximum value Deshawn’s Solution -contains only negative rational numbers -has an upper limit of –3 and no minimum value Andie’s Bobby’s Carrie’s Deshawn’s
Answer:
carries solution is the correct answer
Answer:
Carrie is correct
Step-by-step explanation:
Which of the following illustrates the truth value of the given conditional statement?
If 6 • 3 = 18, then 4 + 8 = 20.
Answer:
6x3
Step-by-step explanation:
sorry if wrong
Find the surface area of the sphere. Use 3.14 for pi. Round to the nearest
tenth. (Given diameter is 17)
Answer:
908, it's rounded to the nearest tenths
Step-by-step explanation:
Answer:
Step-by-step explanation:
Diameter = 17 units
Radius r = 17/2 = 8.5 units
Surface area of sphere = 4πr²
= 4 * 3.14 * 8.5 * 8.5
=907.46 square units
SUPER URGENT!! WILL VOTE MOST BRAINLY!!!
Use the graph to estimate x when y = 0.
You can use this table too. (y = 4x - 5)
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You could just use the equation to get an answer
Substitute y in as 0
0 = 4x - 5
+ 5 to both sides
4x = 5
Divide both sides by 4:
x = 5/4 or 1.25
HOWEVER, you were supposed to use the graph.
If you look at where the line meets the x axis, you can see it is around 1.2
Have A Nice Day ❤
Stay Brainly! ヅ
- Ally ✧
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Find the median of 6 8 10 12 14 15 15 20
Answer:
12.5
Step-by-step explanation:
mean is where u add them then divide it by how many there are
6+8+10+12+14+15+15+20=100
100 divided by 8
Answer:
The median is 13
Step-by-step explanation:
Hope this helps
Simplify the Problem?
The answer is in the pictures.
Below are two parallel lines with a third line intersecting them.
56°
Answer:
x=56
if the line is parallel bothe the angles will be equal to each other
somebody help me please What is 10x + 60 = 300 first answer brainiest
Answer:
x=24
Step-by-step explanation:
10x + 60 = 300
10x=300-60
10x=240
x=24
Answer:
[tex] \boxed{x = 24} [/tex]
Step-by-step explanation:
[tex] Solve \: for \: x: \\=> 10x + 60 = 300 \\ \\ Substrate \: 60 \: from \: both \: sides: \\ =>10x + (60 - \boxed{60}) = 300 - \boxed{60} \\ \\ 60 - 60 = 0: \\ =>10x = 300 - 60 \\ \\ 300 - 60 = 240: \\ =>10x = \boxed{240} \\ \\ Divide \: both \: sides \: of \: 10 x = 240 \: by \: 10: \\=> \frac{10x}{10} = \frac{240}{10} \\ \\ \frac{10}{10} = 1: \\=>x = \frac{24\cancel{0}}{1\cancel{0}} \\ \\=> x = 24 [/tex]
I NEED HELP, AND FAST
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have cat + have dog = 7
do not have cat + have dog = 5
do not have dog + have cat = 6
do not have cat + do not have dog = 0
Have A Nice Day ❤
Stay Brainly! ヅ
- Ally ✧
｡☆✼★ ━━━━━━━━━━━━━━ ☾
You deposit $4200 in a savings account that has a rate of 4%. The interest is compounded
quarterly
a) How much money will you have after ten years? Round to the nearest cent.
b) Find the interest after ten years.
Answer:
a) 6253.23
b) 2053.23
Step-by-step explanation:
A = P (1+r/n)^nt
Sullivan and Carter both went trick or treating in the neighborhood, and now they're
comparing their candy haul. If Sullivan got s number of pieces and Carter got 2s,
what does that tell you about the relationship between the amount of candy they
each had?
Answer:
Step-by-step explanation:
Carter got twice number of candies in comparison to Sullivan or Sullivan got half number of candies compare to Carter.
What is amount?" Amount is defined as the representation of total quantity of given object."
According to the question,
Number of candies Sullivan got = s
Number of candies Carter got = 2s
Compare the given amount of data we get,
Number of candies Carter got = 2(Number of candies Sullivan got )
This shows Carter got twice number of candies comparison to Sullivan.
or
Number of candies Sullivan got = [tex]\frac{1}{2}[/tex] (Number of candies Carter got)
Sullivan got half number of candies compare to Carter.
Hence, we conclude Carter got twice number of candies in comparison to Sullivan or Sullivan got half number of candies compare to Carter.
Learn more about amount here
https://brainly.com/question/27337635
#SPJ2
The length of a rectangular park is four timesfour times its width. The park is surrounded by a 33-foot-wide path. Let x denote the width of the park. Write a quadratic function to represent the total area of the park and the path.
The quadratic function that represents the total area of the park and the path is _____.
(Simplify your answer. Do not factor.)
Answer:
A(x) = 4x^2 + 330x + 4356
Step-by-step explanation:
width of park: x
length of park: 4x
width + path width = x + 66
length + path width = 4x + 66
area = (x + 66)(4x + 66)
area = 4x^2 + 66x + 264x + 4356
area = 4x^2 + 330x + 4356
A(x) = 4x^2 + 330x + 4356
The only case in which a conditional statement is false is when the hypothesis is true and the conclusion is Question 8 options: A) nonexistent. B) unknown. C) true. D) false.
Answer:
I believe is A is the right answer
Answer:
It's False
Step-by-step explanation:
Factor Out -1
1. 7-x
2. y-2d
3. -3h+2f
4. -4g-5t
Find the equation of the line below. If necessary, use a slash (/) to indicate a
division bar.
Answer: y=[tex]\frac{1}{5}x[/tex]
Step-by-step explanation: Let me know if you need an explanation.
Answer:
As shown in picture, the line passes (0, 0) then it has form of y = ax
This line also passes (5, 1) => 1 = 5a => a = 1/5
=> The equation of this line: y = (1/5)a
Hope this helps!
:)
