Two shapes are congruent if they have the same shape and size. We can also say if two shapes are congruent, then the mirror image of one shape is the same as the other.
Geometric figures that are congruent share the same size and shape. In other words, figures are congruent if they can be transformed into one another through a series of transformations, rotations, and/or reflections. When the sides and angles of two triangles match, the triangles are said to be congruent.
Triangles that have comparable sides and equal angles are said to be congruent. Indicating congruence is the sign “≅”.
identical in size and shape.
Congruent refers to objects that are exactly the same size and shape. Even if we flip, turn, or revolve the shapes, the shape and size must remain the same.
For such more questions on Congruent :
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The side length in centimeters of a triangle are 5x,32,and 2(3x+2) the perimeter of the triangle is 80 centimeters What is the length is centimeters of the shortest side of the triangle
Answer:
the answer is 20
Step-by-step explanation:
in the question they want the shortest side length of the triangle and they gave you the perimeter.
what we want to find is the x value.
so,
perimeter= the sum of all sides.
substituting,
80= 5x + 32 + 2 (3x+2)
80= 5x +32+6x+4
80=11x+36
80-36=11x
44=11x
44/11=x
4=x
so, the value of x is 4. then we substitute the 4 in each x to find our shortest length.
5*4=20
32
2 (3*4+2)=28
so the shortest length is 20.
we can also check our answer to see if it is correct.
20+33+28= 80.
Fifty- five percent of the students at west side middle school walk to school. What fraction of the students walk to school
Answer:
55/100 is equivalent to 55% but the fraction in lower terms or simplified is 11/20 hope i helped!
Step-by-step explanation:
2. (a) Find the area of this triangle.
12 cm
9 cm
(b) Suppose the base is doubled. Explain what happens to the original area.
(c) Suppose both the height and the base of the original triangle are doubled.
Explain what happens to the original area.
Answer: A)Area=1/2bh, 1/2x12x9=1/2x108,108/2=54cm2.
B)If the base doubles the original Area doubles.
C)If both the Height and the base is doubled then the Area will Quadruple.
Step-by-step explanation:
Please answer correctly!! I’ll mark as brainliest!
No links no fake answers
Maya tutors english. for each hour that she tutors, she earns 40 dollars.Her earnings, E (in dollars),after tutoring for h hours is given by the following.How much does maya earn if she tutors for 5 hours?
Answer:
Amount earn by Maya for teaching English in 5 hour = $200
Step-by-step explanation:
Given:
Amount Maya earn in 1 hour for teaching English = $40
Find:
Amount earn by Maya for teaching English in 5 hour
Computation:
Assume;
Per hour earning = E
Number of total hour = h
Total earning = Per hour earning x Number of total hour
Total earning = (E)(h).
So,
Amount earn by Maya for teaching English in 5 hour = 5 x 40
Amount earn by Maya for teaching English in 5 hour = $200
PLEASE HELP DUE IN 1 HOUR
Answer:
18
Step-by-step explanation:
just add them unless you have to find the numbers for the 2 little squares
Answer:
27
Step-by-step explanation:
cut shapes. then 6x2 is 12, 3x5 is 15, then add
helpppoooooopmemememememeem
Answer:
A. 5 units
Step-by-step explanation:
since the y-coordinate is the same, then you would subtract the x-coordinates.
-6-(-1)=5
hope this helps, have a nice day :)
A student makes and sells designer T-shirts to earn extra cash. The material needed to make each T-shirt costs $4.25. Currently, the student sells each designer T-shirt for $15. In an effort to increase sales, the student decides to spend $500 on promotional advertising. How many designer T-shirts must the student sell to break even? A. 26 B. 34 C. 46 D. 47
Step-by-step explanation:
Let x be the number of designer T shirts.
To break even,
Total Cost = Total Sales
Fixed Cost + Variable Cost = Total Sales
given the promotional advertising is classified under fixed cost,
[tex]500 + 4.25x = 15x \\ 15x = 500 + 4.25x \\ 15x - 4.25x = 500 \\ 10.75x = 500 \\ x = 500 \div 10.75 \\ = 46.5 \\ = 47 \: (round \: off \: to \: nearest \: whole \: number)[/tex]
Which of the following is TRUE about sampling distributions?
Larger sample gives worse data. More samples give worse data.
Larger sample gives better data. More samples give worse data.
Smaller sample gives worse data. More samples give better data.
Smaller sample gives better data. More samples give better data.
Answer:
Smaller sample gives worse data. More samples give better data.
Step-by-step explanation:
A sample is the number of elements that are used in a given experiment.
For example, if you do a survey to 100 random people, then your sample is 100 people.
Here we can see something kinda obvious, if you increase your sample, then more people answer your survey, wich means that more samples give more data, and more data is better, then more sample gives better data.
We also can see that if we have a small sample (for example 10 people) the survey will not be really useful, this happens because if we have really small samples the sample may be biased, and we always want to aboid this.
Then:
Smaller samples give worse data, and as we increase the samples, we also get better data.
The correct option is:
"Smaller sample gives worse data. More samples give better data."
Some researchers have conjectured that stem-pitting disease in peach-tree seedlings might be controlled with weed and soil treatment. An experiment is conducted to compare peach-tree seedling growth when the soil and weeds are treated with one of two herbicides. In a field containing 20 seedlings, 10 are randomly selected throughout the field and assigned to receive herbicide A. The remainder of the seedlings is assigned to receive herbicide B. Soil and weeds for each seedling are treated with the appropriate herbicide, and at the end of the study period, the height in centimeters is recorded for each seedling. The following results are obtained: Herbicide A = 94.5 cm s1 = 10 cm Herbicide B = 109.1 cm s2 = 9 cm
What is a 90% confidence interval (use the conservative value for the degrees of freedom) for μ2 – μ1? a. 14.6 ± 7.00 b. 14.6 ± 7.38 c. 14.6 ± 7.80 d. 14.6 ± 9.62
Suppose we wish to determine if there tends to be a difference in height for the seedlings treated with the different herbicides. To answer this question, we decide to test the hypotheses H0: μ2 – μ1 = 0, Ha: μ2 – μ1 ≠ 0. What is the value of the two-sample t statistic? a. 14.6 b. 3.43 c. 2.54 d. 7.80
What can we say about the value of the P-value? a. P-value < 0.01 b. 0.01 < P-value < 0.05 c. 0.05 < P-value < 0.10 d. P-value > 0.10
If you use the 0.05 level of significance, what conclusion would you reach? a. The evidence is not sufficiently strong to reject the null hypothesis. b. There is sufficient evidence to reject the null hypothesis. c. Cannot be determined by the information given.
Answer:
Part A
b. 14.6 ± 7.38
Part B
b. 3.43
Part C
a. P-value < 0.01
Part D
b. There is sufficient evidence to reject the null hypothesis
Step-by-step explanation:
Part A
The given data are;
The number of seedlings in the field = 20
The number of seedlings selected to receive herbicide A = 10
The number of seedlings selected to receive herbicide B = 10
The height in centimeters of seedlings treated with Herbicide A, [tex]\overline x _1[/tex] = 94.5 cm
The standard deviation, s₁ = 10 cm
The height in centimeters of seedlings treated with Herbicide B, [tex]\overline x _2[/tex] = 109.1 cm
The standard deviation, s₂ = 9 cm
The 90% confidence interval for μ₂ - μ₁, is given as follows;
[tex]\left (\bar{x}_{2}- \bar{x}_{1} \right )\pm t_{\alpha /2}\sqrt{\dfrac{s_{1}^{2}}{n_{1}}+\dfrac{s_{2}^{2}}{n_{2}}}[/tex]
The critical-t at 95% and n₁ + n₂ - 2 degrees of freedom is given as follows;
The degrees of freedom, df = n₁ + n₂ - 2 = 10 + 10 - 2 = 18
α = 100% - 90% = 10%
∴ For two tailed test, we have, α/2 = 10%/2 = 5% = 0.05
[tex]t_{(0.025, \, 18)}[/tex] = 1.734
[tex]C.I. = \left (109.1- 94.5 \right )\pm 1.734 \times \sqrt{\dfrac{10^{2}}{10}+\dfrac{9^{2}}{10}}[/tex]
C.I. ≈ 14.6 ± 7.37714603353
The 90% C.I. ≈ 14.6 ± 7.38
b. 14.6 ± 7.38
Part B
With the hypotheses are given as follows;
H₀; μ₂ - μ₁ = 0
Hₐ; μ₂ - μ₁ ≠ 0
The two sample t-statistic is given as follows;
[tex]t=\dfrac{(\bar{x}_{2}-\bar{x}_{1})}{\sqrt{\dfrac{s_{1}^{2} }{n_{1}}+\dfrac{s _{2}^{2}}{n_{2}}}}[/tex]
[tex]t-statistic=\dfrac{(109.1-94.5)}{\sqrt{\dfrac{10^{2} }{10}+\dfrac{9^{2}}{10}}} \approx 3.43173361147[/tex]
The two sample t-statistic ≈ 3.43
b. 3.43
Part C
From the t-table, the p-value, we have, the p-value < 0.01
a. P-value < 0.01
Part D
Given that a significance level of 0.05 level is used and the p-value of 0.01 is less than the significance level, there is enough statistical evidence to reject the null hypothesis
b. There is sufficient evidence to reject the null hypothesis.
Find the total cost, to the nearest cent, for a sweater that cost $22.95 with an additional 5.5% tax sale
Answer: $24.2
Step-by-step explanation:
The total cost will be gotten by adding the cost of the sweater and the tax. This will be:
Cost of sweater = $22.95
Tax = 5.5% × $22.95 = 0.055 × $22.95 = $1.26225
Total cost of the sweater = $22.95 + $1.26225 = $24.21225
= $24.2 to nearest cent
Answer:
5.5% of 22.95 is about 1.26
22.95 + 1.26 = 24.21
$24.21
Step-by-step explanation:
pls help meh plssss asap
Answer:
1.) 150
2.) 10
Step-by-step explanation:
If you look at the chart, above the 25 in the seconds row in the gallons row is 150.
This means that the chart tells you there are 150 gallons for every 25 seconds.
The second question asks about 60 gallons. So, if you look at 60 on the gallons row, and look below it on the seconds row, you see 10.
This means the chart tells you there are 60 gallons for every 10 seconds.
A square piece of plastic has sides that are 8 centimeters long. What is the piece of plastic's area?
Answer:
64 [tex]cm^{2}[/tex]
Step-by-step explanation:
l x w = area
8 x 8 = 64
Sin Z =
Cos Z =
Tan Z =
sin z= z/y
cos z= x/y
tan z= z/x
What is the diameter of a circle? A. The distance around the circle. B. The distance from any point on the edge of a circle to any other point. C. The distance from the center to any point on the circle. D. The distance across a circle, through its center.
Answer:
A
Step-by-step explanation:
is the circumference or perimeter of a cylinder
d=r×r
what is 3c-9d+7c+5d simplified
Answer:
3c-9d+7c+5d becomes this when it is simplified 10c - 4d
Step-by-step explanation:
(4x+___)+(2x+3)=6x+5
Find the missing term.
Answer:
(4x+2)+(2x+3)=6x+5
Step-by-step explanation:
(4x+___)+(2x+3)=6x+5
4x+2x=6x
5-3=?
5-3=2
2
You are planning a backpacking trip. You must hike a minimum of 11 miles each day in order to complete the trip in the time you have available. Write an inequality to represent the situation. Let x represent the number of miles you must hike each day.
Answer:
x≥11
Step-by-step explanation:
The information provided indicates that you have to hike minimum 11 miles each day to be able to complete the trip in the time you have and this means that the number of miles you hike each day has to be greater than or equal to 11 and this can be expressed as:
x≥11, where:
x is the number of miles you must hike each day.
Giant pandas can spend up to 16 hours a day eating bamboo. How many minutes per day is this? Hint: 1 day = 1440 minutes
Answer:
960 minutes
Step-by-step explanation:
If there are 24 hours a day with 60 minutes then there are 1440 hours a day.
There 16 hours multiplied by 60 minutes will give you your answer! [tex]16*60=960[/tex]
it is 690 minutes per 16 hours
PLEASE help plssss no links and silly answers
Answer:
(H)
Step-by-step explanation:
Less than signs are <
Greater than signs are >
Since in this case x is the number
7 has to be less than x which is x<7
Answer:
f
Step-by-step explanation:
0.7 as 1 minute
And is it okey if you could tell me how you did it?
Answer:
Hello There!!
Step-by-step explanation:
You multiply 0.7 by 60 which is 42 seconds.
hope this helps,have a great day!!
~Pinky~
Can you pls help me
Answer:
b
Step-by-step explanation:
25 divided by 25 equals 1
375 divided by 25 equals 15
Plz answer this I’ll give 14 points plzzz
Answer:
3
Step-by-step explanation:
It shows it in the picture
Find the circumference, giving brainlies pls asap
Answer:
B) 12.6π ; 39.6
Step-by-step explanation:
Circumference:
C = 2πr
C = 2(3.14)(6.3)
C = 6.28(6.3)
C = 39.6
C = 2πr
C = 2π6.3
C = 12.6π
its a or b, sorry im not much help
Round your answer to the tenths place if necessary
Help me please:(
Answer:
Step-by-step explanation:
31 btw your pfp is cute
6.1.PS-17
Question Help.
In a race, 19 out of the 25 swimmers finished in less than 56 minutes. What percent of swimmers
finished the race in less than 56 minutes? Write an equivalent fraction to find the percent.
Can someone help to on this question?
Answer:the answer is x=5,-3
Step-by-step explanation:
QUESTION 7 of 10: You can hire someone without experience for $13 per hour or someone with experience for $19 per hour. You believe the
experienced person increases the sales per customer by $3. Each person handles about 12 customers per hour. Should you hire the
experienced person?
a) Yes
b) No
yallll help me pls lol
Mary used 3.5 portions of her saving to buy a birthday gift for her mother, and a balance of 3/2 portions to buy a shirt for her sister. State in terms of percentage of money that she used to buy a shirt for her sister.
Answer:
150
Step-by-step explanation:
I guess you're asking percentage of 3/2 into percentage so I took 3/2 × 100 to change it into percentage form and I got 150 if it's not the answer please tell me right away.
A central rental company a base and a daily charge to rent a car. The function f (x) = 35x +50 relates the length of the rental in days, x, to the total charge in dollars, f (x). What units should be used to describe the rate of charge of the function?
A. Days/dollar
B. Dollars/day
C. Hours/day
D. Days/hour