Answer:
The correct option is;
BC = 4 cm and DE = 4 cm
Step-by-step explanation:
The given sides parameters are;
In ΔABC
AB = 3 cm
AC = 5 cm
In ΔDEF
CD = 3 cm
CE = 5 cm
We note that the point F on ΔDEF is the same as point C on ΔABC
For the two triangles to be congruent, the third side must be equal hence e have;
Where ∠B = ∠D = 90°
Hence, AC² = AB² + BC²
∴ BC = √(5² - 3²) = 4
Similarly,
CE² = CD² + DE²
∴ DE = √(5² - 3²) = 4
Hence the additional information needed to prove that ΔABC ≅ ΔDEF is BC = 4 cm and DE = 4 cm.
The probability of choosing a number less than 7 and then a multiple of 4 is?
Answer:
Total probability (first tile less than 7, second tile multiple of 4) = 2/21
Step-by-step explanation:
The question is not complete as the number of tile are not given. Howover, I could find the complete question on internet so I would solve for that. I hope it helps. (SEE THE ATTACHMENT)
QUESTION
You randomly choose a tile. Without replacing the first tile, you choose a second tile. Find the probability of the compound event. Write your answer as a fraction or percent rounded to the nearest tenth. THE PROBABILITY OF CHOOSING A NUMBER LESS THAN 7 AND THEN A MULTIPLE OF 4 IS?
ANSWER
As we can see in the picture that there are a total of 7 tiles, so n = 7
These tiles are numbered as 5, 6, 7, 8, 9, 10, 20
Tiles having a number less than 7 = 5, 6
No. of tiles having a number less than 7 = 2
So probability of choosing a number less than 7 is = 2/7
After picking one tile and without replacing it, total no. tiles become n = 6
Tile having multiples of 4 = 8, 20
No. of tiles having multiples of 4 = 2
Probability of choosing a second tile with multiple of 4 = 2/6
Total probability (first tile less than 7, second tile multiple of 4) = (2/7) · (2/6) = 4/42 = 2/21
please help ill mark you as brainlesit if correct!
Answer: [tex]\dfrac{1}{8}[/tex]
Step-by-step explanation:
Formula : Probability = [tex]\dfrac{\text{favorable outcomes}}{\text{total outcomes}}[/tex]
Given , Sam has 4 cards numbered 2,3,5, and 7.
His friend has 4 cards numbered 1,2,6 and 7.
If they both draw one card and put that on table , then the possible combinations of cards would be (2,1) , (2,2), .... (7,6), (7,7).
i.e. Number of possible outcomes would be (S) 4 x 4 = 16
Favorable outcomes that they will choose same number (F) = (2,2) , (7,7)
Now , the probability that they will both choose the same number would be :
[tex]\dfrac{F}{S}=\dfrac{2}{16}=\dfrac{1}{8}[/tex]
Hence, the required probability = [tex]\dfrac{1}{8}[/tex]
Which angle pairs are supplementary? Check all that
apply.
21 and 22
0 24 and 23
0 24 and 25
O 27 and 25
O 23 and 26
Answer:
Option B, C and E are supplementary angles.
Step-by-step explanation:
We need to find supplementary angles.
Supplementary angles are those angles who sum up to 180 °.
I have attached picture for reference.
Looking at the figure given:
We have supplementary angles:
∠4 and ∠3
∠4 and ∠5
∠5 and ∠6
∠7 and ∠8
∠3 and ∠6
But the options given are: ∠4 and ∠3,∠4 and ∠5, ∠3 and ∠6
So, Option B, C and E are supplementary angles.
Supplementary angles are pair of adjacent angles that add up to 180 degrees
Conditions for supplementary anglesFor a pair of angles to be supplementary, then the following must be true
The angles must be adjacent i.e. side by sideThe angles must add up to 180 degreesThe image is not given.
So, I provided a general explanation
Read more about supplementary angles at:
https://brainly.com/question/18217469
Ugh Summer work...Pls Help Me! 4.25 - x = 14.13
[tex]answer = - 9.88 \\ solution \\ 4.25 - x = 14.13 \\ - x = 14.13 - 4.25 \\ - x = 9.88 \\ x = - 9.88 \\ hope \: i t \: helps \\ good \: luck \: on \: your \: assignment[/tex]
Answer:
-9.88.
Step-by-step explanation:
1. Write it out.
4.25-x=14.13
2. Make it a bit easier to read.
4.25-x=14.13 is also the same thing as... -x+4.25=14.13. Now it's easier to tell that 4.25 is positive.
3. Isolate x and get it by itself.
Since we have a number on x's side, we have to move it to the other side. The opposite of addition is subtraction, so we subtract 4.25 by both sides!
-x+4.25=14.13
-4.25 -4.25
-x=9.88
Technically, x can't really be negative, so we can just divide by negative one on each side to get rid of the negative x.
-x=9.88
/-1 /-1
x=-9.88
That's finally the answer and sorry if the explanation took forever! Hope you understand :)
What is the area in square units of the polygon shown here 2 units 1 unit 5 units and 7 units.
12 units^2
14units^2
17 units^2
19 units^2
What is the smallest and largest perimeter of a polygon with an area of 20?
Answer:
The polygon with the smallest perimeter is the megagon
The polygon with the largest perimeter is the triangle
Step-by-step explanation:
An equilateral triangle with area = 20 has
0.5× a²×sin60 = 20
a= 6.796
Hence, perimeter = 20.39
A square of area 20 has perimeter= 4×√20 = 17.9
A regular pentagon of area = 20 has perimeter = 3.41 × 5 = 17.05
Hence as the number of sides is increasing, the ratio of the Area to the Perimeter also increases
Therefore, a triangle has the largest perimeter with an area of 20 while a megagon with a million sides has the smallest perimeter with an area of 20.
37 is 60% of what number?
Answer:
61 2/3 = n
Step-by-step explanation:
Is means equals and of means multiply
37 = 60% * n
37 = .60n
divide each side by .60
37 / .60 = .60n/.60
61.6666666 repeating = n
61 2/3 = n
A line segment 9 cm long is dilated with a scale factor of 3. Find the length of the dilated line segment. A. 1/3 cm B. 3 cm C. 12 cm D. 27 cm
Answer:
27 cmSolution
[tex]length = 9 \: cm \\ on \: dilation \: with \: a \: scale \: factor \: of \: 3 \\ now \\ length = 9 \times 3 \\ \: \: \: \: \: \: \: \: \: \: \: \: = 27 \: cm[/tex]
hope this helps...
Good luck on your assignment....
Find the area of the regular polygon
Answer:
A
Step-by-step explanation:
What is the probability of drawing yellow marble followed by a red marble from a bag containing 12 yellow marbles 14 red marbles and 15 Green marbles if the first marvel is not replaced
Solve the following, what is 10=4y?
Answer:
y=2.5
Step-by-step explanation:
10=4y
4y=10
y=10/4
y=5/2
y=25/10
y=2.5
Two types of shipping boxes are shown below. What is the difference in the surface areas,in square feet,of the two boxes.
A) 2
B) 3
C) 21
D) 30
Answer:
B-3
Step-by-step explanation:
2(4.5×2)+2(3×2)+2(4.5×3)
=57
6(3×3)=54
57-54=3
1. Choose the three numbers that would round to 4.63.
A. 4.632
B. 4.6228
C. 4.6257
D. 4.6285
Answer:
A,c,and d
Step-by-step explanation:
4.632 is rounded to 4.63
4.6228 is rounded to 4.62
4.6257 is rounded to 4.63
4.6285 is rounded to 4.63
Find the simplest pattern and insert the missing terms of the sequences: 1,5,6,11, ...,28 Find the ...
Answer:
Step-by-step explanation:
The pattern is the same as Fibonacci numbers i.e. sequence satisfy following reccurence relation:
[tex]a_n = a_{n - 1} + a_{n - 2}[/tex].
So we can continue this sequence very easily:
1, 5, 6, 11, 17, 28
The simplest pattern and the missing terms of the sequences: 1,5,6,11, 17, 28.
What is the number pattern?A number pattern is a pattern in a series of numbers that represents the common relationship between the numbers.
The pattern is the same as Fibonacci numbers i.e. sequence satisfies the following recurrence relation,
[tex]a_n = a_{n-1 }+ a_{n-2[/tex]
So we can continue this sequence
1, 5, 6, 11, 17, 28
Learn more about a number pattern:
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Brianna and two friends went to
Popeyes for lunch. Each of them purchased a #5
combo for x dollars. Brianna is the only one they
purchased a drink for $4.50. The total amount spent
was $26.00 before tax. Write and solve an equation
to determine the cost of a #5 combo meal. (Round
to the nearest tenth)
Answer:
The Popeyes Chicken Sandwich is around $3.99. If you order the sandwich as a combo meal with a side, biscuit, and a drink, it will be closer to $8.00. However, prices may vary by location.
Step-by-step explanation:
The probability of a basketball player hitting a foul shot is 1/3. How many shots would you expect her to make in 90 attempts?
Answer:
60
Step-by-step explanation:
1/3 of all attempts expected to be foul shots
1/3*90= 30 fouls
90-30= 60 success
A line passing through the point (12,-5) has a slope of 1/3
Please help probability
Answer:
I think it's A.
Step-by-step explanation:
MARK ME BRAINEST.
ASAP WILL DO BRAINLIESET
Karen can complete 12 coloring book pages in 30 minutes.
a) what is the constant of proportionality?
b) Write a direct variation equation that represents the scenario
c) How long will it take Karen to complete 96 coloring pages?
Answer:
a. Karen can do 2.5 coloring pages a minute.
c. 240 minutes
Step-by-step explanation:
c. 96 / 12 = 8. 8 x 30 = 240.
(q^4)^z=q^12
find the value of z
Answer:
z = 3
Step-by-step explanation:
Using the rule of exponents
[tex](a^{m}) ^{n}[/tex] = [tex]a^{mn}[/tex]
Thus
[tex](q^{4}) ^{z}[/tex] = [tex]q^{4z}[/tex] , so
[tex]q^{4z}[/tex] = [tex]q^{12}[/tex]
Since the bases on both sides are equal then equate the exponents
4z = 12 ( divide both sides by 4 )
z = 3
Answer:
The value of z is 3.
Step-by-step explanation:
You have to use Indices Law,
[tex] {( {a}^{m}) }^{n} \: ⇒ \: {a}^{mn} [/tex]
So for this question, first you have to get rid of brackets :
[tex] { ({q}^{4} )}^{z} = {q}^{12} [/tex]
[tex] {q}^{4z} = {q}^{12} [/tex]
Next you can solve it since both have the same bases :
[tex] {q}^{4z} = {q}^{12} [/tex]
[tex]4z = 12[/tex]
[tex]z = 3[/tex]
Solve the 2 step equation: 2a - 3 = -5
Answer:
The value of a is -1.
Step-by-step explanation:
First, you have to add 3 to both sides :
[tex]2a - 3 + 3 = - 5 + 3[/tex]
[tex]2a = - 2[/tex]
Next, you have to divide both sides by 2 :
[tex]2a \div 2 = - 2 \div 2[/tex]
[tex]a = - 1[/tex]
Answer:
-1
Step-by-step explanation:
A cylinder of base radius 4cm is opened at one end . If the ratio of the area of it's base to that of it's curved surface area is 1:4, Calculate the height of the cylinder
Answer:
Height = 8cm
Step-by-step explanation:
I hope it helps
The required height of the cylinder is 8cm.
A cylinder of base radius 4cm. The ratio of the area of it's base to that of it's curved surface area is 1:4. Height of cylinder is to be determine.
Surface area is defined as the area of the surface that are uncovered.
Here,
area of circle/surface area of cylinder=1/4
πr²/2πrh=1/4
r/2h=1/4
h=2r
where r = 4cm
h = 2*4
h = 8cm
Thus, the required height of the cylinder is 8cm.
Learn more about surface area here:
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76,80,88,95,100,101,?
Which number comes next in this sequence?
Answer:
112
Step-by-step explanation:
76->88->100->112
Select the correct answer.
Solve – 363(-10)– (183)
A.
-445
B.
- 28
OC. de
OD. 64
Dorot
y varies inversely as x, if y = -3 when x = -6, find y when x = 14.
Answer:
y is equal to 7 when x is equal to 14.
Step-by-step explanation:
-6 divided by -3 is equal to 2. This means x divided by y is equal to 2.
x / y = 2
14 / 7 = 2
The graph of a polynomial is shown below. At which value of x does this
polynomial have an extreme?
5
A. X= 4
B. X= 2
C. x= 3
O D. x = 1.33
A movie channel sends an email survey to all customers who purchase their service each month. The previous month, 182,000 people purchased
subscriptions. Surveys were sent to 9,000 of these people, chosen at random, and 1,080 people responded to the survey. Identify the population and the
sample.
The population is 182,000 and the sample is 1,080.
The population is 9,000 and the sample is 1,080.
The population is 182,000 and the sample is 9,000.
The population is 9,000 and the sample is 182,000.
Answer:
The population is 9,000 and the sample is 1,080
Step-by-step explanation:
Your population is 9,000 because that is how many people got the survey. The number 182,000 is irrelevant because that information does not matter with regards to the surveys. Your sample is 1080 because that is the number of people that responded.
PLS HELP ANSWER CORRECTLY WITH FULL WORK THO
Answer:
Hope this working is clear
The perimeter of a triangle is 27 feet. One side is 3 feet longer than the shortest side, and the longest side is twice as long as the shortest side. How long is each side?
Answer:
6, 9, 12
Step-by-step explanation:
Let s be the shortest side. Using the information you're given, you can create an equation. 27= s + s+3 + 2s. Now just solve the equation. Subtract 3 from both sides. 24=4s. Divide by 4 on both sides. 6=s. So the shortest side is 6 feet long, so we add 3 to that for the one that is neither the shortest or the longest. That side is 9 feet long. We double s to get 12, which is the longest side.
Answer:
Long side: 12
Middle side: 9
Shortest side: 6
Step-by-step explanation:
What is the measure of angle c in degrees? *
150
30
90
60
Answer:
Option (2)
Step-by-step explanation:
Measure of angle formed by two tangents from a point outside the circleis half the difference of the measures of the intercepted arcs.
From the figure attached,
m∠C = [tex]\frac{1}{2}[m(\text{major arc AB})-m(\text{minor arc AB)}][/tex]
= [tex]\frac{1}{2}[(360-m\widehat{AB})-m(\widehat{AB})][/tex]
= [tex]\frac{1}{2}[360-2m(\widehat{AB})][/tex]
= [tex]180-m\widehat{AB}[/tex]
= 180 - 150
= 30°
Therefore, measure of angle C will be 30°.
Option (2) is the answer.
