Answers
Answer:
Yes
Step-by-step explanation:
All you need to do is figure out the missing angles. We know that the three angles in a triangle add up to 180 degrees.
For angle B in ABC, 180-52-39= 89. So angle B = 89 degrees.
For angle D in DEF, 180-39-89= 52. So angle D = 52 degrees.
Then see if the order of the angles match up.
DEF = 52 degrees, 89 degrees, 39 degrees
ABC = 52 degrees, 89 degrees, 39 degrees
The order of the same angles match, so triangle DEF and triangle ABC are equal.
Answer:
Yes, triangle DEF is similar to triangle ABC because their corresponding angles are the same size.
Step-by-step explanation:
Interior angles of a triangle sum to 180°.
⇒ ∠A + ∠B + ∠C = 180°
⇒ 52° + ∠B + 39° = 180°
⇒ ∠B = 89°
⇒ ∠D + ∠E + ∠F = 180°
⇒ ∠D + 89° + 39° = 180°
⇒ ∠D = 52°
Two triangles are similar if their corresponding angles are the same size.
If ΔDEF ~ ΔABC then:
∠D = ∠A∠E = ∠B∠F = ∠CFrom inspection of the given diagram:
∠D = 52° and ∠A = 52° so ∠D = ∠A∠E = 89° and ∠B = 89° so ∠E = ∠B∠F = 39° and ∠C = 39° so ∠F = ∠CTherefore, the triangles are similar because their corresponding angles are the same size.
Related Questions
P = 3. Q = -2. Solve 4PQ
Answers
=12(-2)
=-24
Answer:
-24
Step-by-step explanation:
4(3)(-2) = -24
10. A large shipment of video streaming devices is accepted upon delivery if an inspection of 20 randomly selected video streaming devices yields no more than 1 defective item. a. Find the probability that the shipment is accepted if 3% of the total shipment is defective. b. Find the probability that the shipment is accepted if 15% of the total shipment is defective.
Answers
Answer:
a) 0.8802 = 88.02% probability that the shipment is accepted
b) 0.1756 = 17.56% probability that the shipment is accepted if 15% of the total shipment is defective.
Step-by-step explanation:
For each item, there are only two possible outcomes. Either it is defective, or it is not. The probability of an item being defective is independent of any other item. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
20 randomly selected video streaming devices
This means that [tex]n = 20[/tex]
a. Find the probability that the shipment is accepted if 3% of the total shipment is defective.
3% defective means that [tex]p = 0.03[/tex]
Probability of at most 1 defective is:
[tex]P(X \leq 1) = P(X = 0) + P(X = 1)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{20,0}.(0.03)^{0}.(0.97)^{20} = 0.5438[/tex]
[tex]P(X = 1) = C_{20,1}.(0.03)^{1}.(0.97)^{19} = 0.3364[/tex]
[tex]P(X \leq 1) = P(X = 0) + P(X = 1) = 0.5438 + 0.3364 = 0.8802[/tex]
0.8802 = 88.02% probability that the shipment is accepted.
b. Find the probability that the shipment is accepted if 15% of the total shipment is defective
Now [tex]p = 0.15[/tex]. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{20,0}.(0.15)^{0}.(0.85)^{20} = 0.0388[/tex]
[tex]P(X = 1) = C_{20,1}.(0.15)^{1}.(0.85)^{19} = 0.1368[/tex]
[tex]P(X \leq 1) = P(X = 0) + P(X = 1) = 0.0388 + 0.1368 = 0.1756[/tex]
0.1756 = 17.56% probability that the shipment is accepted if 15% of the total shipment is defective.
What is the answer please help if you put a link I will report
Answers
Answer:
A .27 miles
Step-by-step explanation:
brainliest pls
ye I don’t so any of y’all got the answer?
Answers
Two investments totallng $47,500 produce an annual income of $3000. One investment ylelds 9% per year, while the other yields 6% per year. How much is invested at each rate?
Answers
Answer:
The correct answer is "$5000".
Step-by-step explanation:
The given values are:
Two investments totaling,
= $47,500
Annual income,
= $3000
One investment yields per year,
= 9%
Other yield,
= 6%
Let,
The amount invested in 9% will be "x".The amount invested in 6% will be "[tex]47,500-x[/tex]".Now,
⇒ [tex]0.09x+0.06(47,500-x)=3000[/tex]
⇒ [tex]0.09x+2850-0.06x=3000[/tex]
⇒ [tex]0.03x+2850=3000[/tex]
⇒ [tex]0.03x=150[/tex]
⇒ [tex]x=\frac{150}{0.03}[/tex]
⇒ [tex]x=5000[/tex]
circle A and circle b are two different circles find the missing values on this table (look at the image)
Answers
(i) Given radius r = 15 cm ∴ diameter d = 2 x 15 = 30 cm Circumference C = πd units = 227227 x 30 = 66076607 = 94.28 cm (ii) Given circumference C = 1760 cm 2πr = 1760 2 x 227227 x r = 1760 r = 1760×72×221760×72×22 = 160×72×2160×72×2 = 40 x 7 = 280 cm Diameter = 2 x r = 2 x 280 = 560 cm (iii) diameter d = 24m radius r = d2d2 = 242242 = 12 m Circumference C = 2 πr units = 2 x 227227 x 12 = 52875287 = 75.4 m Tabulating the results S. No. radius (r) diameter (d) circumference (C) (i) 15 cm 30 cm 94.28 cm (ii) 280 cm 560 cm 1760 cm (iii) 12 m 24
a bit messy sorry for that
x+y+z=9
x-y-z=-1
x-y+z= 21
Which value is not in the solution, (x,y,z), of the
system?
1) -8.
2) ---6
3) 11
4) 4
Answers
the answer is (-8) because x=4, y=-6, z=11
These consists of more than 1 equation with unknown variables. The value that is not a solution in (x,y, z)is -8
System of equationsThese consists of more than 1 equation with unknown variables. Given the set of equations
x+y+z=9
x-y-z=-1
x-y+z= 21
Add 1 and 2
2x = 9 - 1
2x = 8
x = 4
Subtract 2 and 3
-2z = -22
z = 11
Determine the value of y
x +y + x = 9
4 + y + 11 = 9
y = 9 - 15
y = -6
Hence the value that is not a solution in (x,y, z)is -8
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Simplify the following expressions by combining like terms. Then, tell if the expressions are equivalent.
3r + 10 + r -8 and 8 + 2(2r) - 6
Answers
Answer:
2+4r. Expressions are equivalent.
Step-by-step explanation:
3r + 10 + r -8Multiply r and 3
Multiply r and 1
The r just gets copied along.
The answer is r
r
3*r evaluates to 3r
3*r+10 evaluates to 3r+10
3r + r = 4r
The answer is 4r+10
3*r+10+r evaluates to 4r+10
10 - 8 = 2
The answer is 2+4r
3*r+10+r-8 evaluates to 2+4r
The final answer is
2+4r
8 + 2(2r) - 6
Multiply r and 2
Multiply r and 1
The r just gets copied along.
The answer is r
r
2*r evaluates to 2r
Multiply 2 and 2r
Multiply 1 and r
The r just gets copied along.
r
2*(2*r) evaluates to 4r
8+2*(2*r) evaluates to 8+4r
8 - 6 = 2
The answer is 2+4r
8+2*(2*r)-6 evaluates to 2+4r
The final answer is
2+4r
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Answers
Answer:
the answer is 7 feet
Step-by-step explanation:
28/4=7
Suppose you invest $150 a month for 3 years into an account earning 7% compounded monthly. After 3 years, you leave the money, without making additional deposits, in the account for another 23 years. How much will you have in the end?
Answers
Answer: You would have $109,802.56 in the end.
Step-by-step explanation:
Someone help me with this please I will mark Brainliest if correct.
Answers
Answer:
Add the formula do the math!
I will give you the answer later!
P.s maybe after you tell me if you figured it out!
Step-by-step explanation:
Have a great week!
Hope i helped! <3
Tell me if so!
Your welcome!
Byes! :)
-Sincerely, Brainliest!
Find the measures of the numbered angles in each kite.
Answers
Answer:
x = 15
y = 13
Step-by-step explanation:
6x - 4 = 5x + 11
x = 15
4y + 3 + 3y + 86 = 180
7y = 91
y = 13
Last week, Sue worked 7.5 hours each day on Monday and Tuesday and 6.5 hours each day on Wednesday, Thursday, and Friday. She did not work on Saturday or Sunday. If she is paid $6 an hour, how much did she earn last week? Sue earned $ last week.
Answers
Answer:
$207
Step-by-step explanation:
Calculate how nany hours Sue worked last week:
7.5 + 7.5 + 6.5 + 6.5 + 6.5
34.5 hours total
Now calculate her total income for last week:
34.5 hours × $6
$207
-2/3 over 15 simplfied
Answers
Answer:
Hi! The answer to your question is -10
Step-by-step explanation:
☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆
☆Brainliest is greatly appreciated!☆
Hope this helps!!
- Brooklynn Deka
Find the value of x. Round to the nearest degree
Answers
Answer:
27.81 is the answer so round up to 28
Step-by-step explanation:
you need to find inverse sine of 7÷15 to find x
Consider the division problem. 68)472 Which would be the best replacement for 68 to get a quick, but close, estimate of this quotient O A. 50 ОВ. 65 OC. 69 D. 70 E. 100
Answers
Answer:
Step-by-step explanation:
Please answer the questions below.
Answers
Answer:
i can't see the question
Solve equation by using the quadratic formula.
2x? + 13x = 0
Answers
Answer:
c
Step-by-step explanation:
6) Four bacteria are placed in a petri dish. The population will double every day. The formula for the
number of bacteria in the dish on day tis
N(t) = 4(2)^t
where t is the number of days after the four bacteria are placed in the dish. How many bacteria are
in the dish five days after the four bacteria are placed in the dish?
Answers
Answer:
128
Step-by-step explanation:
N(t) = 4(2)^t
N(t) = 4(2)^5
N(t) = 4(32)
N(t) = 128
The number of bacteria that are
in the dish five days after the four bacteria are placed in the dish is; 128 bacteria
We are given the formula for the
number of bacteria in the dish on day as;
N(t) = 4(2)^t
Where t is number of days after the four bacteria are placed in the dish.
Now we are told tof find the number of bacteria in the dish after 5 days.
Thus, we would put 5 for t in the given equation to get;
N(5) = 4(2)^5
N(5) = 4(32)
N(5) = 128
Read more about exponential growth at; https://brainly.com/question/23766914
Which equation shows that 8 is a factor of 32?
Choose 1 answer:
(Choice A)
32 = 8 + 24
(Choice B)
32 = 40 - 8
(Choice C)
32=256÷8
(Choice D)
32=8×4
Answers
Answer:
D
Step-by-step explanation:
A factor is when you divide a number and get no remainders. D shows that 8*4 is 32, meaning that 32/8=4.
help plz its a mathematical punnet square
Answers
Answer:
X 2 -7
-9 -18 126
3 -54 -6,804
1944 7.71
0.00396604938
Step-by-step explanation:
I tried. Sorry if it's wrong I've never done a mathematical punnet square before.
Name: LESTER GREEN Class: NIGHT SCHOOL Complete with the missing letters and then colour. ED BAK _LU GRE_ W_ _TE PN B_O_N GR. N. a ELL__ RE_ OR N E PURP__ i havourite Colours
Answers
Blue Yellow
Green Red
White Orange
Pink Purple
Brown
−4x + 2y < 10 in slope intercept
Answers
Answer:
y < 2x + 5
Step-by-step explanation:
The format for slope intercept is y = mx + b. In this case, it is y < mx + b. Your equation is -4x + 2y < 10. First, start by adding 4x to -4x. This gets rid of that number on the left so it can just be 2y. Now, add that 4x to the right side of the equation. You are left with 2y < 4x + 10. The final step is to divide 2 from 2y. Since you are doing this step on the left side of the equation, you must now do it to the right. After also dividing 2 from 4x and 10, your final answer is y < x +5.
A pillow that usually costs $18 is marked down 25%. Which expressions can be used to find the new price of the pillow? Check all that apply.
18 – 0.25(18)
18 – 0.75(18)
0.25(18)
0.75(18)
18(0.25) + 18
Answers
Answer:
a and d
Step-by-step explanation:
brainliest if you want :)
Answer:
A or 18 – 0.25(18)
and
D or 0.75(18)
Step-by-step explanation:
Have great rest of your day. I know this works because I got it correct on the assignment. Good luck! :)
Find f(-3) if f(x) = x 2.
A) 6
B-9
C)9
D-6
Answers
Answer: f(-3)=(-3)^2
f(-3)=9
the answer is C
Step-by-step explanation:
what is the missing reason in the proof shown ?
a. symmetric property
b. reflexive property
c. transitive property
d. commutative property
Answers
Answer:
A symmetric property
Step-by-step explanation:
Answer:
Reflexive property
Step-by-step explanation:
Which best describes the solutions to the system?
x + y=− 4
−2x − 2y =0
A one solution
B (0,0)
C no solution
D infinitely many
Answers
Answer:
A best descibes it as we can say its the only answer
Step-by-step explanation:
using symaltaneous equation is the only way to solve it
HELP ASAP!!!! 20 POINTS!!
Answers
Answer:
Can you upload this as a jpg, I can't open it to asnwer. Also, you listed 10 points not 20.
Step-by-step explanation:
What is the value of the expression: 2-7-(-8) + -10
Answers
Answer:
-7
Step-by-step explanation:
Answer:
-7
Working:
2-7-(-8)+ (-10)
=2-7+8-10
=-7
The perimeter of a rectangular plot of land for a new housing development is 270 m.
The width of the site is 60 m.
Calculate the length of the building site.
Answers
The length of the building site is 75 meters.
To calculate the length of the rectangular plot of land, we can use the formula for the perimeter of a rectangle, which is given by:
Perimeter = 2 * (Length + Width)
In this case, the width is given as 60 m, and the perimeter is given as 270 m. We can substitute these values into the equation and solve for the length.
270 = 2 * (Length + 60)
Dividing both sides of the equation by 2 gives:
135 = Length + 60
Subtracting 60 from both sides of the equation gives:
Length = 135 - 60
Length = 75
It's important to note that the length of the building site is specific to this particular rectangular plot of land with a given width and perimeter. If the width or perimeter were to change, the length would also change accordingly. Additionally, this calculation assumes that the shape of the plot is a rectangle and that the perimeter only includes the sides of the plot, not any internal structures or obstacles.
For more such questions on length
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