Answers:
Angle A = 76Angle B = 37Angle C = 67Triangle ABC is an acute triangle. It's also a scalene triangle.
====================================================
Work Shown:
x = measure of angle B
2x+2 = measure of angle A, since we're told its "2 more than twice angle B"
2x-7 = measure of angle C, for similar reasoning
The three angles add to 180. This is true for any triangle
A+B+C = 180
(2x+2)+(x)+(2x-7) = 180
5x-5 = 180
5x = 180+5
5x = 185
x = 185/5
x = 37
This means angle B is 37 degrees. The other two angles are
A = 2x+2 = 2*37+2 = 74+2 = 76
C = 2x-7 = 2*37-7 = 74-7 = 67
----------------
In summary, we have these three interior angles
A = 76B = 37C = 67As a way to check, note how A+B+C = 76+37+67 = 180. This confirms the answer. All three angles mentioned are smaller than 90 degrees, so this triangle is acute.
Furthermore, because all three angles are different measures, this means all three sides are different lengths. This leads to triangle ABC being scalene.
Which of the following is not a characteristic of both experiments and
surveys?
A. The researcher exercises direct control over at least one variable.
B. Subjects should be randomly selected.
C. Data are collected about a population.
D. The data collected might be studied for patterns.
The researcher exercise direct control over at least one variable.
Answer:
C?correct me if I'm wrong
In a carnival game, there are six identical boxes, one of which contains a prize. A contestant wins the prize by selecting the box containing it. Before each game, the old prize is removed and another prize is placed at random in one of the six boxes. Is it appropriate to use the binomial probability distribution to find the probability that a contestant who plays the game five times wins exactly twice
Answer:
The probability that a contestant who plays the game five times wins exactly twice is [tex]16.08[/tex] %
Step-by-step explanation:
We will use binomial theorem here
[tex]C_{n,k}p^k(p')^{n-k}[/tex]
Substituting the available values in above equation, we get
[tex]C_{5,2} * \frac{1}{6}^2*\frac{5}{6}^3[/tex]
[tex]0.1608[/tex]
OR
The probability that a contestant who plays the game five times wins exactly twice is [tex]16.08[/tex] %
please solve the question below
Answer:
x = 5.61
Step-by-step explanation:
Applying the knowledge of similarity between two figures, thus:
Height of flag : height of Tommy = shadow length of flag : shadow o
Length of Tommy
30:5.5 = (25 + x) : x
30/5.5 = (25 + x)/x
30×x = 5.5(25 + x)
30x = 137.5 + 5.5x
30x - 5.5x = 137.5
24.5x = 137.5
x = 137.5/24.5
x = 5.61 (nearest hundredth)
Simplify (4x^2y)(3xy)(2xy)^3
A. 96x^4y^5
B. 96x^6y^5
C. 24x^4y^5
D. 24x^6y^5
Answer:
the answer is D
Step-by-step explanation:
hard to explain it with just words and not be able to show you step by step
Please please give answer for this question
Answer:
The remaining piece measures 16 m
which agrees with answer D
Step-by-step explanation:
In order to make a square of area 25 m^2, we need a square of side 5 m ,
Area of square = side^2
25 = side^2 then each side = 5 m
therefore the person needed 4 times 5 m to create the square, that is 20 m for the square. Therefore the piece that is left can be calculated with the difference:
36 m - 20 m = 16 m
The remaining piece measures 16 m
Is x-6 a factor of 3x^3-16x^2-72?
Answer:
No
Step-by-step explanation:
its not because x doesn't go into all 3 coffecients (numbers) and 6 doesn't go into 3.
Answer:
no because x dosent go into all 3 coefficents (numbers) and 6 dosent go into 3
Step-by-step explanation:
11.
8. The graph below shows the price Joanna
sells tomatoes according to their weight.
Write an equation for the graph.
h
H
Tomato Prices
12
10
Price (in dollars)
12
12.
Weight
(in pounds)
a. y = -x
6
10
b. y =
12
c.
=
d. y = x
Answer:
the question is invalid. please rewrite the question.
-Ms. Gorman says, “Then victory won’t lie in the blade, but in all the bridges we’ve made.” What does she mean by ‘bridges?’
please help
Answer:
OH I love Amanda Gorman!
Step-by-step explanation:
divide 345609875by 13
Answer:
26585375
Step-by-step explanation:
Pls help extra points and mark brainlist
Answer:
the answers are a and d
Step-by-step explanation:
x+x+x=3x and you can't add a constant (2) to a variable(3x) so it would just be 3x+2
_:7 = 24 : 56
A.2 B.3 C.4 D.5
Answer:
The answer is 3 : 7 .
Hope it helped
All the best !!
Find the slop of the line given y - 1 = -5(x + 19)
Answer:
m = − 5 is slope
Step-by-step explanation:
20 PTS !!!!!!
HELP PLEASE
What number is between 5/2 and the other number In the photo.
Factor out the GCF from the terms of the polynomial 2x^3 − 5x^2 + 25.
Answer:
Step-by-step explanation:
The polynomial is already factored.
Find the distance between (6, 0) and (10, 3).
a 5 units
b 20 units
C 50 units
d None of the above
does anyone know this? geometry help pls
Answer:
A
Algebra For what values of the variables must ABCD be a parallelogram?
B
23. A 2y + 2 B 24. B
(3x + 10)
(8x + 5)º
3x + 6
54°
D
С
D
A
Зу - 9 с
ly+4
an enrollment of 200 students and this year enrollment has increased by 118%. What is this year's enrollment ?
Answer:
436 students
Step-by-step explanation:
Original number of students enrolled = 200students
% increase = 118%
Increment = 118% of 200
Increment = 1.18 * 200
Increment = 236
The year enrollment = 200 + 236
The year enrollment = 436 students
which function displays the fastest growth as the x-values continue to increase?
The exponential function q(x) displays the fastest growth as the x-values continue to increase.
The correct option is D.
What is an exponential function?Mathematical functions with exponents include exponential functions. f(x) = bˣ, where b > 0 and b 1, is a fundamental exponential function.
Given:
A table is given for the value of x.
The function m(x) shows the linear relationship.
Because it has constant first difference.
n(x) is not a function because it has 2 input values connecting to one output value.
And the function q(x) has common ratio,
0.3/0.15 = 2.
So, it is an exponential function.
So, this function will display the fastest growth.
Therefore, the function is q(x).
To learn more about the exponential;
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The length of a rectangle multiplied by 3 is equal to 4 times its width. The perimeter is 8 2/5 feet. Find the length and width.
Answer:
W=1 4/5 feet
L= 2 2/5 feet
Step-by-step explanation:
3L = 4W L = 4W/3
2L+2W = 8 2/5
Substitute L
2(4W/3)+2W = 8 2/5
8W/3+2W = 8 2/5
multiply both sides by 3
8W+6W = 24 6/5
14W = 25 1/5
Divide both sides by 14
14W/14 = (25 1/5)/14
W = (126/5)/14 = 9/5 = 1 4/5
Substitute for W
L = 4(1 4/5)/3
L = (4)(9/5)/3 = (36/5)/3 = 12/5 = 2 2/5
The perimeter is an enclosed area of any two or one-dimensional shape.
The perimeter of a rectangle is given by:
[tex]\rm P = 2 ( L + B )[/tex]
The length is [tex]\rm 2 \dfrac{2}{5} feet[/tex] and the width of the rectangle is [tex]\rm 1\dfrac{4}{5} feet[/tex].
This can be calculated by:
Given,
Perimeter (P) = [tex]\rm 8 \dfrac{2}{5} feet[/tex]Let,
Length = LWidth = WSince,
3L = 4W
[tex]\rm L = \dfrac{4W}{3}[/tex]
Substituting the value of L in the equation of perimeter:
[tex]\rm 2(\dfrac{4W}{3}) + 2W = 8 \dfrac{2}{5}[/tex]
[tex]\rm \dfrac{8W}{3} + 2W = 8 \dfrac{2}{5}[/tex]
Now multiplying the left and right sides by 3 we get:
[tex]\rm 8W+6W = 24 \dfrac{6}{5}[/tex]
[tex]\rm 14W = 25 \dfrac{1}{5}[/tex]
Now divide both sides by 14:
[tex]\rm \dfrac{14W}{14} =\dfrac{(25 \dfrac{1}{5})}{14}[/tex]
[tex]\rm W = \dfrac{(\dfrac{126}{5})}{14} \\\\= \dfrac{9}{5}[/tex]
[tex]\rm W = 1 \dfrac{4}{5}[/tex]
Now substituting the value of W, length can be calculated:
[tex]\rm L = \dfrac{4(1 \dfrac{4}{5})}{3}[/tex]
[tex]\rm L = \dfrac{(4)\dfrac{9}{5}}{3} \\\\= \dfrac{(\dfrac{36}{5})}{3} \\\\= \dfrac{12}{5}[/tex]
[tex]\rm L = 2 \dfrac{2}{5}[/tex]
Therefore, length is [tex]\rm 2 \dfrac{2}{5} feet[/tex] and width is [tex]\rm 1\dfrac{4}{5} feet[/tex].
To learn more about the perimeter of rectangle follow the link:
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answer plz plz for brainleiest
Answer:
-.5
Step-by-step explanation:
Answer:
B=0.5 or 1/2
its correct please give brainliest!!!
On a trip, a family travels 180 km in 2.5 h on the first day, 220 km in 4.4 h on the second day, and 88 km in 2.2 h on the third day. What was the average speed, in kilometers per hour, for the total trip?
Answer:
Step-by-step explanation:
180+220+88 = 488 km
2.5+4.4+2.2 = 9.1 h
(488 km )/(9.1 h) = (488/9.1 km)/h ≈ 53.6 km per hour
Two different age groups were surveyed about the amount of time they spent on social media.
For b you had to add 25 and 35 together to make 60.
Divide 60 by 2 to get 30. 30 is the average between the two numbers. You then find the frequency of 30 using the graph. For the 12 year olds it is 40 and for the 18 year olds it is 60. Find the difference between these 2. So 60-40= 20
What is 288/-32 in its standard form
Answer:
[tex] \frac{288}{ - 32} = \frac{ - 9}{1} \\ = - 9[/tex]
Answer:
the simplest form of 288/-32 is 91.
Step-by-step explanation:
hope this helps sorry if im wrong
An airline charges $462.40 for all the passengers on the plane to have pretzels. Each
bag of pretzels is $3.40. How many passengers are on the plane?
Plz help ty
Answer:
136 people
Step-by-step explanation:
$462.40 divided by 3.40 is 136
Write an equation using “x” and then solve the equation. The rate charged for a standard room is $250 dollars. A couple stayed in a standard room for x nights and their total room charge is $750.
Answer:
3 nights
Step-by-step explanation:
total charge = rate times time interval
Here, time interval = total charge / rate
$750 = ($250/night)(n nights)
Solving for n, we get n = 3 (nights)
An equation for a couple stayed in a standard room for x nights and their total room charge is $750 is, 250x = 750
What is an Equation ?An equation is a mathematical term, which indicates that the value of two algebraic expressions are equal. There are various parts of an equation which are, coefficients, variables, constants, terms, operators, expressions, and equal to sign.
For example, 3x+2y=0.
Types of equation
1. Linear Equation
2. Quadratic Equation
3. Cubic Equation
Given that,
The rate charged for a standard room is $250 dollars
A couple stayed in a standard room for x nights
Total room charge = $750
Equation = ?
Total charge = 250 × x
Total charge = 750
So,
250x = 750
Thus, an equation is 250x = 750
To know more about Equation check:
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If x = t^3 and y = t^2 - 2 , what is y in terms of x?
Answer:
E
Step-by-step explanation:
You have to get t^2 in the first equation.
x = t^3 Take the cube root of both sides
[tex]\sqrt[3]{x} = \sqrt[3]{t^3}[/tex]
[tex]\sqrt[3]{x}=t[/tex] Now square both sides
[tex](\sqrt[3]{x})^2 = t^2[/tex]
[tex]x^\frac{2}{3} = t^2[/tex]
Now you can substitute into the second equation
y = t^2 - 2
y = [tex]x^\frac{2}{3}[/tex] - 2
E
Evaluate the limit(-2n^n/4+n
Answer:
.
Step-by-step explanation:
What is the slope of the line through (-4, 2) and (3, -3)? Choose 1 answer: (Α) 7 5 B 7 5 С 5 7 D 5 7
Answer:
-5/7
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-3-2)/(3-(-4))
m=-5/(3+4)
m=-5/7
Please help with work and explanation
operación 1: (6+(4*12)/12-2)+5
Answer:
13Step-by-step explanation:
6+ (4)(12) /12 −2+5
=6+ 48 /12 −2+5
=6+4−2+5
=10−2+5
=8+5
=13
