Answer:
28m
Step-by-step explanation:
2x+x=42
3x=42
x=14
However, since the length of the rectangle is twice the width, we'll need to multiply it by 2.
So: 14 times 2=28
M is the midpoint of AD.
Triangles A B M and D C M are connected at point M. Sides A B and C D are congruent. The length of side B M is 3 x + 6 and the length of corresponding side M C is 4 x minus 1.
What value of x will make triangles ABM and DCM congruent?
3
5
7
9
Answer:
7
Step-by-step explanation:
ΔABM and ΔDCM
4x - 1 = 3x + 6
4x - 3x = 6 + 1
x = 7
Answer:
C. 7
Step-by-step explanation:
Find the diagram to the question attached. Two congruent triangles has all its sides to be equal. This means that the sides of ΔABM will be equal to that of ΔDCM (SSS rule).
Given
BM = 3x+6
MC =4x-1
Since both triangles are congruent, then BM = MC
Next is to get x;
3x+6 = 4x-1
collect like terms'
3x-4x = -1-6
-x = -7
multiply through by -1
-(-x) = -(-7)
x = 7
Hence the value of x that will make triangles ABM and DCM congruent is 7
Find the product
-8.4 x–7.6
Answer:
63.84
Step-by-step explanation:
Answer:
63.84
Step-by-step explanation:
Multiply both numbers without the decimal point then move the decimal point 2 places to the left.
Please finish the functions on these 7,8 please 10 points :)
What you have so far is correct.
Problem 7 is a function because none of the x values repeat. Each x input goes to exactly one y output. The y values can repeat. If the y values repeat, then we don't have a one-to-one function.
In contrast, problem 8 is not a function. We have x = 1 go to y = 8 and y = 6 at the same time. This is one example showing we don't have one output for a given input.
Find the 12th term of the geometric ouence 5, 15, 45,...
Answer:
295,245
Step-by-step explanation:
It is always multiplying by 3.
5, 15, 45, 135, 405, 1215, 3645, 10935, 32805, 98,415, 295245
Answer:
885735
Step-by-step explanation:
The perimeter P of a rectangle is calculated using the formula P = 2(l + w), where l and w are the length and width of the rectangle. Rearrange the formula to make length (l) the subject.
Answer:
P = 2(l + w)
P = 2l + 2w
A 30-m tall building casts a shadow. The distance from the top of the building to the tip of the shadow is 32 m. Find the length of the shadow. If necessary, round your answer to the nearest tenth.
Answer: 11.1 m
Step-by-step explanation:
This can be solved by the Pythagorean theorem where;
c² = a² + b²
c is the hypotenuse which is the distance from the top of the building to the tip of the shadow.
a is the height
c is the length
32² = 30² + b²
b² = 32² - 30²
b² = 1,024 - 900
b² = 124
b = √124
b = 11.1 m
HELP! ONLY HAVE 4 MINS!!!!!!1
Answer:
the slope for a is [tex]\frac{12}{3}[/tex] but in simplest form 4
the slope for b is 0
Step-by-step explanation:
hope this helped :-)
i'm in need of help!
Answer:
24 hours per day
Step-by-step explanation:
The number of violent crimes committed in a day possesses a distribution with a mean of 2.8 crimes per day and a standard deviation of 4 crimes per day. A random sample of 100 days was observed, and the sample mean number of crimes for the sample was calculated. Describe the sampling distribution of the sample means.
Answer:
The distribution is approximately normal with mean = 2.8 and standard error = 0.4
Step-by-step explanation:
We are given;
Mean; μ = 2.8
Standard deviation; σ = 4
Sample size; n = 100
Now, the central limit theorem states that the sample mean with a sample size(n) from a population mean (μ) and population standard deviation(σ) will, for large value of n, have an approximately normal distribution with mean μ and standard error as (σ/√n)
The sample size is 100 and thus it's very large because it's bigger than minimum of 30 for approximate distribution.
Thus, SE = (σ/√n) = 4/√100 = 4/10 = 0.4
Thus,from the central limit theorem I described, we can say that the distribution is approximately normal with mean = 2.8 and standard error = 0.4
While driving off the coast of Mexico, Jose dove below the surface 17 feet. He then swam up 6 feet. He saw a big shell, so he dove a another 8 feet down. He swims back up 4 feet to look at fish. What was the depths at which he finds the fish? A.-30, B.30, C.-15, D.-17
Answer: 15
Step-by-step explanation:
Find the number of groups and the number left over. 24 - 5 = with left over 24-5= with left over (Type whole numbers.)
Answer: 19 is my answer 19 is left over
karl has $400 in a savings account. the interest rate is 10%, compounded annually. what type of model best fits this situation?
A bag contains 6 blue marbles, 8 green marbles, 9 red marbles, and 17 yellow marbles. What is the ratio of blue marbles to total marbles?
Answer: 3:20
Step-by-step explanation: There are 6 blue marbles. Altogether, there are 40 marbles. So it would be 6:40, which simplifies to 3:20.
i need this asap! will give a thanks and brainliest to whoever answers !!
Answer:
10 spiders
18 grasshoppers
If m∠FBE=(4x+2)° and m∠EBD=(5x−13)°, then m∠FBA=
The Measure of <FBA is 62 degree.
What is Linear Pair?When two lines cross at one point, a linear pair of angles is created. If the angles follow the intersection of the two lines in a straight line, they are said to be linear. The total of angles of a linear pair is always equal to 180°.
Given:
m∠FBE=(4x+2)° and m∠EBD=(5x−13)°
as, FB bisects <EBA
So, <EBF = <FBA
and, EB bisects <FBD
So, <FBE= <EBD
4x+ 2 = 5x -13
x= 15
So, <EBF = <FBA = 4x+ 2 = 4(15)+ 2 = 62
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1) 23= -7 - 4m + 9 + m
La circunferencia es tangente a la recta 3x - 4y = 34 en el punto (10, -1) Y también es tangente a la recta 4x + 3y = 12 en el punto (3, O). Hallar la ecuación de la circnferencia.
Answer:
La ecuación del círculo en la forma es (x - 145/12)² + (y - 109/16)² = (545/48)²
Step-by-step explanation:
La información dada son;
La primera línea tangente al círculo en el punto (10, -1) = 3·x - 4·y = 34
La segunda línea tangente al círculo en el punto (3, 0) = 4·x + 3·y = 12
Las rectas tangentes dadas en forma de pendiente e intersección, y = m·x + c son;
3·x - 4·y = 34
4·y = 34 - 3·x
y = 34/4 - 3/4·x = 8.5 - 3/4·x
Primera tangente
y = 8.5 - 3/4·x
3·y = 12 - 4·x
y = 12/3 - 4/3·x = 4 - 4/3·x
Segunda tangente
y = 4 - 4/3·x
La recta de la ecuación de los radios es perpendicular a la tangente y se encuentra con la tangente en el punto de intersección con el círculo como sigue;
La primera ecuación radial tiene pendiente, m = 1/(-3/4) = 4/3
La ecuación en forma de punto y pendiente es y - (-1) = 4/3×(x - 10)
y = 4/3×(x - 10) - 1 = 4/3·x - 40/3 - 1 = 4/3·x - 43/3
Por tanto, la ecuación del primer radio es;
y = 4/3·x - 43/3
La segunda ecuación radial tiene pendiente, m = 1/(-4/3) = 3/4
La ecuación en forma de punto y pendiente es y - 0 = 3/4×(x - 3)
y = 3/4×(x - 3) = 3/4·x - 9/4
Por tanto, la ecuación del segundo radio es;
y = 3/4·x - 9/4
Los dos radios se encuentran en el centro dado como sigue;
4/3·x - 43/3 = 3/4·x - 9/4
4/3·x - 3/4·x = 43/3 - 9/4
7/12·x = 145/12
x = 145/12
y = 3/4·x - 9/4 = 3/4·145/12 - 9/4 = 109/16
Las coordenadas del centro = (h, k) = (145/12, 109/16)
La longitud del radio, r = √((109/16 - 0)² + (145/12 - 3)²) = 545/48
La ecuación del círculo en la forma (x - h)² + (y - k)² = r² es, por lo tanto;
(x - 145/12)² + (y - 109/16)² = (545/48)².
What is 23x10⁵ im struggling to do this who can help
Answer:
if your doing it in scientific notation it would be 2.3x10 with the lil 6 above the 10
Step-by-step explanation:
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Standard form :
[tex]2,300,000[/tex]
_________________________________
Science notation :
[tex]2.3 \times {10}^{6} [/tex]
_________________________________
Science E notation :
[tex]2.3 \: E6[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Which number is rational?
1. –2.1010010001...
2. –0.8974512...
3. 1.2547569...
4. 5.3333333...
PLEASE HELP ITS A UNIT TEST AND TIMED
Answer:
4.) 5.3333333....
Step-by-step explanation:
Rational numbers are either repeating decimals:
[tex]\frac{1}{3}= 0.333333333....[/tex]
Include terminating decimals:
[tex]\frac{1}{8}= 0.125[/tex]
Are all numbers that can be written as a quotient of integers:
[tex]\frac{a}{b},b\neq 0[/tex]
Options (1), (2), and (3) are neither repeating, terminating, and can't be written as a quotient of integers.
Option (4) has repeating decimals, so this is rational.
:Done
Yesterday, the temperature at noon was 10.4°F. By midnight, the temperature has decreased by 16.7 degrees. What was the temperature at midnight?
I'm in 7th grade by the way
Answer:
-6.3 degrees
Step-by-step explanation:
First I formed the equation 10.4-16.7=x, which the answer came to be -6.3 degrees.
I really need help on all of them, I will give out brainliest to one answer and ten points to both
Answer:
1. 1/2, 2. 2, 3. 1/-3, 4. -2
Step-by-step explanation:
1) I know that the equation for slope is y2-y1/x2-x1. For number one I first found two points of the graph which is (0,3) and (2,4) (not sure if I see it correctly, its kind of blurry). I decided that (0,3) would be my y1 and x1 and (2,4) will be my y2 and x2. I later plugged the number in the equation and got 4-3/2-0 which the answer turns out to be 1/2.
2) For the rest of the questions it is kinda the same business as question 1. For question two I chose two points out of the table which wrer (-1, -12) and (1,-8) and plugged them into the equation and got -8-(-12)/1-(-1) which the answer turns out to be 2.
3) similar to question 2. The two points(2,-6) and (-4,-3) are given to you. so I plugged them in again and got -3-(-6)/-4-2 which the answer turns out to be 3/-6 into 1/-3.
4) Same with question 1 find two points of the graph. I chose (0,3) and (1,1) (again might not be accurate it's kind of blurry) I plugged them into the equation again and got 1-3/1-0 which equals -2.
Just always remember y2-y1/x2-x1=m is the equation for slope.
(m is the variable for slope)
Hoped this helped you : )
8 1/3 % of 64
mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm
Answer:
I think it is 7.86.
Step-by-step explanation:
You should change 8 1/3% to a decimal that equals 8.33333333333. I then had took 64/8.33333333333 which equaled 7.86.
If this helped please feel free to click the thanks button below. Thank you! :-D
For the Noah and Andres question: To make orange fizz Noah mixes 4 scoops of powder with 6 cups of water. Andre mixes 5 scoops of powder with 8 cups of water what would that look like on a double number line? Sorry this is long
Answer:
On the number line:
a) 0.6666666667 scoops per powder
b) 0.625 scoops per powder
Step-by-step explanation:
For the Noah and Andres question:
To make orange fizz Noah mixes 4 scoops of powder with 6 cups of water.
Unit rate = scoops per cup
= 4 Scoops/6 cups
= 2/3 scoops per powder
= 0.6666666667 scoops per powder
Andre mixes 5 scoops of powder with 8 cups of water what would that look like on a double number line?
Unit rate = scoops per cup
= 5 Scoops/8 cups
= 0.625 scoops per powder
A newspaper surveyed households to determine how likely they were to subscribe to their publication. The results are shown below by annual household income.
Household Income
< $60,000 > $60,000
I would never purchase a newspaper subscription. 40 63
I might or might not purchase a newspaper subscription. 53 70
I would probably purchase a newspaper subscription. 65 32
I already purchase a newspaper subscription. 73 16
Identify the percentage of families with an income more than $60,000 who might or might not purchase a newspaper subscription. What does this number represent?
Complete Question
The complete question is shown on the first uploaded image
Answer:
The correct option is C
Step-by-step explanation:
The sample
Household Income
< $60,000 > $60,000
I would never purchase a newspaper subscription. 40 63
I might or might not purchase a newspaper subscription. 53 70
I would probably purchase a newspaper subscription. 65 32
I already purchase a newspaper subscription. 73 16
Generally the sample size is mathematically represented as
[tex]n = 40 + 53 + 65+ 73 + 63 + 70 + 32+ 16[/tex]
=> [tex]n = 412[/tex]
Generally the number of the sample with an income greater $60,000 is mathematically represented as
[tex]N = 63 + 70 + 32 + 16[/tex]
=> [tex]N = 181[/tex]
Generally the number of families with an income more than $60,000 who might or might not purchase a newspaper subscription is
[tex]X = 70[/tex]
Generally the percentage of families with an income more than $60,000 who might or might not purchase a newspaper subscription is
[tex]P(X) = \frac{70}{181} * 100[/tex]
=> [tex]P(X) = 39\%[/tex]
(ANSWER ASAP PLZZ) WILL MARK BRAINEST IF CORRECT)Jason and 4 friends went bowling. Three friends rented shoes for $2 each. The total cost to rent the shoes and the lane fees was $42. What was the cost of the lane fees for each person?
Answer: 30/4
Step-by-step explanation:
Leslie is a biologist. She is going to randomly select one animal from her lab to study. There are 555 salamanders, 333 crayfish, and 121212 minnows in her lab. What is \text{P(salamander})P(salamander)start text, P, left parenthesis, s, a, l, a, m, a, n, d, e, r, end text, right parenthesis?
Answer:
1/4Step-by-step explanation:
Given
amount of salamanders, = 5
amount of crayfish = 3
amount of minnows = 12
Total fish = Total outcome = 5+3+12
Total outcome = 20
Since we are looking for the probability of selecting salamanders, our expected outcome will be 5.
Probability = expected outcome/total outcome
Pr( salamanders,) = 5/20
Pr( salamanders) = 1/4
Hence the probability of selecting salamanders, is 1/4
I need the answer quickly
I cannot see the text. If you take another picture zoomed in I will answer it.
Answer:
The country Australia had the greatest percentage of its students report being right hand dominant with approximately 86%
A and b are similar shapes the area of shap a is 200cm
a car travels along the highway to yuma at steady speed. when it begins, it is 400 miles from yuma. After 7 hours, it is 59 miles from yuma. which function describes the cars distance from yuma?
The car's position can be described with the linear function below:
y = (-48.7 mi/h)*x + 400 mi
Which function describes the car's distance from Yuma?
We know that the car is initially at a distance of 400 miles from Yuma. We also know that the car moves at a constant rate (steady speed) then its position will be described by a linear equation:
y = a*x + b
Where y is the distance, a is the slope and b is the y-intercept.
Knowing the initial distance, we can write:
y = a*x + 400mi
And we know that after 7 hours, the car is at 59 mi, then we can write:
59 mi = a*7h + 400mi
59mi - 400mi = a*7h
-341 mi = a*7h
-341mi/7h = a
-48.7mi/h = a
Then the equation that describes the distance from Yuma is:
y = (-48.7 mi/h)*x + 400 mi
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Answer:
y=-50x+400
Step-by-step explanation:
Took the text
What is the greatest common factor (GCF) of 36 and 64?
The greatest common factor of 36 and 64 is 4.
Here,
To find the greatest common factor (GCF) of 36 and 64,
we can use the prime factorization method:
Step 1: Find the prime factorization of each number.
Prime factorization of 36:
36 = 2 * 2 * 3 * 3
Prime factorization of 64:
64 = 2 * 2 * 2 * 2 * 2 * 2
Step 2: Identify the common prime factors and their lowest exponents.
Common prime factors: 2 * 2
Step 3: Multiply the common prime factors with their lowest exponents.
GCF(36, 64) = 2 * 2 = 4
So, the greatest common factor of 36 and 64 is 4.
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