Answer:c
Use the distance formula to see if all three sides are congruent.
Step-by-step explanation:
An equilateral triangle is a triangle which has three sides with the same lengths. If we check for congruence we are checking to see if all the sides are the same :)
To prove a triangle is an equilateral triangle by using the distance formula to see if all three sides are congruent, the correct option is C
What is the congruent triangle?Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.
Given;
To prove a triangle is an equilateral triangle
Now, we have to use the distance formula: d = sqrt( (x2 - x1)² + ( y2 - y1 )²)
When 2 sides are congruent it could be a scalene triangle, so it is not enough. All 3 sides must be congruent.
Therefore, the answer will be by use the distance formula of triangle to see if all three sides are congruent.
Learn more about congruent triangles;
https://brainly.com/question/12413243
#SPJ6
true or false: If a < b then a + c < b + c
Answer:
true
Step-by-step explanation:
(2,2) m = -3
Write an equation of the line through the given point with the given slope. Write the equation in slope-intercept form.
PLEASE HELP ME ASAPPPPPPPPPPPPPPPPPPPPP
Given h(x)
-2x + 5, solve for x when h(x) = 3.
Answer:
x = 1
Step-by-step explanation:
h(x) = -2x + 5 and h(x) = 3
which means -2x + 5 = 3
solve for x
-2x + 5 = 3
-5 -5
-2x = -2
-2 -2
x = 1
n2−8=7n solve by factoring
3 divided by square root of 200=
Answer: 4.7140452079
Step-by-step explanation: (√200) ÷ (3)
Answer:
3√2/20
decimal form- 0.21213203435
Please help me! Please! I am so lost! Pythagorean Theorem!
(The prism said to have an equilateral triangle base has the measurements shown)
Part A
Are the bases of the prism equilateral triangle‘s? Why or why not? Note: the bases of a triangular prism are triangles.
Part B
For this prism to be a right prism, all the lateral faces must be rectangles. Is enough information given to prove the lateral faces are rectangles? Why or why not?
Part C
Without using a protractor, you can determine whether the angles are right angles by measuring the length of the diagonal and applying the converse of the Pythagorean theorem.
The length of both diagonals for each lateral side is 13 cm. From this can you prove that the lateral sides are rectangles? Why or why not?
Part D
Some of the measurements of the triangular prism with a right angle base are shown. What is the length of the hypotenuse of the base?
Part E
Which lateral face has the largest area, the bottom one, left one, or diagonal one? What is the area?
Answer:
Part A- yes, because all 3 sides are Equal (each side is 5)
Part B- yes, each rectangle has the dimensions 12*5
Part C- yes- since the sides are 5 and 12 you can determine that the diagonal is 13, using they Pythagorean theorem [tex]a^{2} +b^{2} =c^{2}[/tex]
[tex]5^{2} +12^{2} =13^{2} \\25+144=169[/tex]- true statement, so the lateral sides are rectangles, because the corners are 90
Part D- [tex]4\sqrt{2}[/tex] (it is a 45-45-90 triangle- so the hypotenuse is the side length times [tex]\sqrt{2}[/tex]
Part E- the diagonal face as the largest area- dimensions are [tex]4\sqrt{2} * 12\\[/tex]
the area would be [tex]48\sqrt{2}[/tex]
Step-by-step explanation:
Part A
Sara is making 3 batches of chocolate chip cookies and 3 batches of oatmeal cookies. Each batch of chocolate chip cookies uses 2 1/4 cups of flour. She will use 12 3/4 cups of flours of flour for all six batches.
Part B
Determine how many cups of flour are needed for each batch of oatmeal cookies.
Answer:
17 / 8 cups of flour
Please consider marking brainliest.
Problem 3.1
Jaleel wrote a book. He wants to print some copies for his
friends and family. The printing company charges a one-
time fee of $200, plus $2 for each printed book.
Is Jaleel's total cost a function of the number of books he
prints?
Answer:
C(n) = 200 + 2n
Step-by-step explanation:
Given:
Fixed cost state by printing company = $200
Variable charges per book print = $2
Find:
Cost function of number of books print
Computation:
Assume:
Number of books printed = n
Total cost of n books printed = Fixed cost state by printing company + Variable charges per book print[Number of books printed]
C(n) = 200 + 2n
Where n = number of book
C = Total cost
Jaleel's total cost as a function of the number of books he print is [tex]c = 2n + 200[/tex] (in dollars)
How to form mathematical equations from the given description?You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4.
If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions or equations.
For the considered case, we don't know exactly how many books will Jaleel gets printed. So we can use variable here.
Let we have:
n = number of books Jaleel gets printed.c = total cost Jaleel has to pay for printing those booksThen, as stated in the problem, for each book there is $2 price, and there is a fixed one-time charge of $200
Thus, we get total cost as:
c = Cost for n books + Fixed one-time cost.
Cost for n books = 2 + 2 + ... + 2 (n times ) (in dollars) = [tex]2n[/tex](we don't write symbols like of currency generally, and understand it from context. Also, sign of multiplication is often hidden if there are non numeric symbols and numbers being multiplied are written together)
Fixed one-time cost = $200Thus, total cost is written as:
c = Cost for n books + Fixed one-time cost.
c = 2n + 200 (in dollars)
Learn more about forming equations here:
https://brainly.com/question/11938672
PLEASE HELP! DUE SOON (also include the check if you can) *I’ll give brainiest*
Answer:
x=24
Step-by-step explanation:
0.22(x+6)=0.2x+1.8
simplify the given equation
0.22x+1.32=0.2x+1.8
shift same kind of variables on one side
0.22x-0.2x=1.8-1.32
0.02x=0.48
For x
x=0.48/0.02
x=24
Check:
For checking subsitute the calculated value x if both sides of x are equal then its true...
0.22(24+6)=0.2(24)+1.8
5.28+1.32=4.8+1.8
6.6=6.6
A rectangle garden is 30 feet wide if its area is 2700 ft.² what is the length of the garden?
Answer:
The answer is 90
Step-by-step explanation:
A= L*W
so when you are given the are and the width you need to divide the area by the width to find the length
Help on this one please Thanks so much
Answer:
AD is one-fourth the length of CE
Step-by-step explanation:
What is the measure of angle A????
Please help !!!! Please help!!!!! I gave extra points, if you put a link I will report you !
Answer: I could be wrong- but I thinkkkk its 42
Silvergrove middle school spent $60 to purchase 4 work books. How many these workbooks can they buy for $90? Solve using unit rates.
Answer:
bro i didt undersated the question
Step-by-step explanation:
Juan has had his model approved and is now able to start construction on it. The model is 3 feet and 5 inches tall. If the scale for the actual barn is 1 inch = 11 feet, how tall will his barn be?
Answer:
451 feet tall
Step-by-step explanation:
3*12=36
36+5=41
41*11= 451
Will give brainliest!! PLEASE HELP NEED THIS NOW DUE TODAYYY!!!
My math students challenged me, their math teacher, to play a dice game with them. They will give me 10 cents for each odd sum I roll with two dice, but I have to give them 10 cents for each even sum they roll with the two dice. I do not think this game is fair. I think I am going to get cheated! I noticed that I cannot roll one of my odd numbers: 1!
Should I play this game with the students? Use your mathematical thinking to convince me whether or not this is a fair game.
Answer: this game is honestly good for the kids u teaching them how to count by roulling the dice
Step-by-step explanation:
Read the passage from the Houston Chronicle about air quality in Houston in 2019. “I’m surprised and disturbed that Houston’s air quality worsened in this year’s [American Lung Association ‘State of the Air’] report,” said Luke Metzger, director of Environment Texas. “The trend since 1999 had been one of steady progress and instead now it seems we are backtracking and that’s bad news particularly for the hundreds of thousands of people who have asthma or other vulnerable populations like senior citizens. . . .” Current models estimate that more than 60 percent of ozone pollution is from cars, according to Raun, and to address that, the city is trying to encourage practices such as the use of mass transit and transitioning to fuel-efficient or low-emission vehicles. Which statement best describes air quality in Houston since 1999? Air pollution has been steadily increasing in Houston since 1999. Air pollution has been steadily decreasing in Houston since 1999. Air pollution has varied depending on climate conditions since 1999. Air pollution has steadily decreased since 1999, before suddenly increasin
Answer:
D.) Air pollution has steadily decreased since 1999, before suddenly increasing.
Step-by-step explanation:
right on edge
Air pollution has steadily decreased since 1999, before suddenly increasing. Therefore, option D is the correct answer.
What is low-emission?A car with low emissions produces very little pollution. A low-emission zone is an area where polluting cars are either not allowed or must pay to enter. They've developed a new kind of low-emission buses.
Vehicles that are either designated as Zero emission Vehicles or as Low Emission Vehicles are considered low-emitting and fuel efficient.
Air pollution has steadily decreased since 1999, before suddenly increasing is the statement best describes air quality in Houston since 1999. As the use of mass transit and transitioning to fuel-efficient or low-emission vehicles.
Therefore, option D is the correct answer.
For more details about low-emission, click here
brainly.com/question/6696543
#SPJ7
A. 7
B. 8
C.9
D. 6
FOR BRAINLIST!!
Answer:
It is going to be C.9 hope this help hopefully not late. :D
Step-by-step explanation:
Its like a train so (2x3)+8x(7x-2)= your answer but you can solve it in a calculator :D
Answer:
D. 7
Step-by-step explanation:
According to this problem, the sum of the angles is 90°. This means we're adding.
2x + 3x + 8 + 7x - 2 = 90.
To make this easier to solve, we can combine like terms.
2x + 3x + 7x = 12x.
The remaining numbers are 8 and -2.
8 + -2 = 6
Our final expression is:
12x + 6 = 90
First, subtract 90 from 6 and get 84.
Lastly, divide the difference (84) by 12.
12x = 84
84 / 12 = 7.
Therefore, the value of x is 7.
For each equality decide whether the solution is represented by X less than 2 .5 or X greater than 2.5 -4x+5>-5 -25>-5(x+2.5)
Answer:
[tex]x<2.5[/tex] and [tex]x > 2.5[/tex] are the solutions
Step-by-step explanation:
Given
[tex]-4x + 5 > -5[/tex]
[tex]-25 > -5(x + 2.5)[/tex]
Required
Determine if their solution is x < 2.5 or x > 2.5
[tex]-4x + 5 > -5[/tex]
Collect like terms
[tex]-4x>-5-5[/tex]
[tex]-4x>-10[/tex]
Divide by -4
[tex]x<\frac{-10}{-4}[/tex]
[tex]x<2.5[/tex]
[tex]-25 > -5(x + 2.5)[/tex]
Open bracket
[tex]-25 > -5x - 12.5[/tex]
Collect like terms
[tex]5x > 25- 12.5[/tex]
[tex]5x > 12.5[/tex]
Divide by 5
[tex]x > \frac{12.5}{5}[/tex]
[tex]x > 2.5[/tex]
A deck of cards has 52 cards. There
are 4 suits, diamonds, hearts, clubs
and spades. Each suit has 13 cards.
What is the probability that I will
randomly pick a King?
HEEEEEEEEEEEEEEEEEEEEELLLLLLLLLLLLP
Answer:
7.)[tex]\frac{1}{2}[/tex]
8.) [tex]\frac{1}{8}[/tex]
9.)[tex]\frac{1}{3}[/tex]
10.)[tex]\frac{1}{6}[/tex]×[tex]\frac{1}{2}[/tex]=[tex]\frac{1}{12}[/tex]
I should know, I finished this like, a month ago?
to find the average result of rolling a six sided dice josh rolls a dice 100 times the table shows how many times josh rolled each number what is the mean or average of the dice rolls
Answer:
500
Step-by-step explanation:
The number of times that josh rolled each number is given so the mean or average of the dice rolls is 3.6.
What is probability?Probability is a branch of mathematics that deals with the study of random events or outcomes.
It is concerned with determining the likelihood of an event or outcome occurring in a given situation.
The probability of an event is a number between 0 and 1, with 0 indicating that the event is impossible and 1 indicating that the event is certain.
The average of dice roll is:
Average = 1/100 (15 x 1 + 18 x 2 + 14 x 3 + 16 x 4 + 19 x 5 +18 x 6)
Average = 1/100 (15 + 36 + 42 + 64 + 95 + 108)
Average = 1/100 x 36
Average = 3.6
Thus, the answer is 3.6.
For more details regarding probability, visit:
https://brainly.com/question/30034780
#SPJ2
Your question seems incomplete, the probable complete question is:
angle A and angle B are complementary. Find angle A and angle B.
angleA = (3x + 46)°
angleB = (x − 4)°
Answer:
Angle A is 82
Angle B is 8
Step-by-step explanation:
Complementary means they add to 90 degrees
3x+46+x-4=90
4x+42=90
4x=48
x=12
Angle A is 3(12)+46= 82
Angle B is 12-4=8
82+8=90
What is the probability of choosing a 6 of clubs that's also a red card from a deck of cards? Type your answer as a fraction.
Answer:
4/52
Step-by-step explanation:
If each small cube has a volume of 1 cm,
what is the volume of this rectangular prism? HELP A.S.A.P. ILL GIVE BRAINLIST
Answer:
The answer is 40 Centimeters.
Step-by-step explanation:
This answer is correct since there are 4 rows of 10, creating the Rectangular prism. i hope this helped!
In a math class with 21 students, a test was given the same day that an assignment was due. There were 12 students who passed the test and 14 students who completed the assignment. There were 4 students who failed the test and also did not complete the assignment. What is the probability that a student completed the homework given that they failed the test?
Answer:
5/9
Step-by-step explanation:
The given is students that failed the test. 5 students completed the homework and failed the test and there is a total of 9 students who failed the test. So, the answer would be 5/9
Using it's concept, it is found that there is a 0.5556 = 55.56% probability that a student completed the homework given that they failed the test.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, there are 21 - 12 = 9 students who failed the test, and of those, 9 - 4 = 5 completed the homework, hence the probability is given by:
p = 5/9 = 0.5556.
0.5556 = 55.56% probability that a student completed the homework given that they failed the test.
More can be learned about probabilities at https://brainly.com/question/14398287
#SPJ2
Sally is building a fence. She needs 234 inches of fencing material. How many yards of fencing material does she need?
Answer:
6.5 yards
Step-by-step explanation:
1 yard = 36 inches
234/36 = 6.5
suppose a normal distribution has a mean of 79 and a standard deviation of 7. What is P(x > or = 93)?
The value of P(X ≥ 93) when X pertains a normal distribution with mean of 79 and standard deviation of 7 is 0.0228
How to get the z scores?If we've got a normal distribution, then we can convert it to standard normal distribution and its values will give us the z score.
If we have
[tex]X \sim N(\mu, \sigma)[/tex]
(X is following normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex])
then it can be converted to standard normal distribution as
[tex]Z = \dfrac{X - \mu}{\sigma}, \\\\Z \sim N(0,1)[/tex]
(Know the fact that in continuous distribution, probability of a single point is 0, so we can write
[tex]P(Z \leq z) = P(Z < z) )[/tex]
Also, know that if we look for Z = z in z tables, the p value we get is
[tex]P(Z \leq z) = \rm p \: value[/tex]
For this case, we're specified that:
X pertains a normal distribution with mean of 79 and standard deviation of 7, symbolically, we have:
[tex]X \sim N(\mu = 79, \sigma = 7)[/tex]
The needed probability is P(X ≥ 93)
Converting X to standard normal variate makes us evaluate this probabiilty as:
[tex]Z = \dfrac{X -\mu}{\sigma} \sim N(0,1)\\\\P(X \geq 93) = 1 - P(X < 93)\\\\P(X \geq 93) = 1 - P\left (Z < \dfrac{93-79}{7}\right)\\\\P(X \geq 93) = 1 - P(Z < 2)[/tex]
The p-value for Z = 2 (from the z-tables) is found to be 0.9772
Thus, we get:
[tex]P(X \geq 93) =1 - P(Z < 2) = 1 - P(Z \leq 2) = 1 - 0.9772\\P(X \geq 93) = 0.0228[/tex]
Learn more about standard normal distribution here:
https://brainly.com/question/10984889
Which expression has a solution of 27, if r = 3? 8 r 6 r 9 r 7 r
Answer:
8r.
Step-by-step explanation:
If we substitute 3 into all of these equations, we get
8(3) which equals 24
6(3) which equals 18
9(3) which equals 27
7(3) which equals 21
8r is the one that equals 24 when 3 is substituted.
What’s the slope?!??????
Answer:
y=mx+b
Step-by-step explanation: