Answers
This is an isosceles triangle. How do we know? Well, the two little bar they put means that it is isosceles. When you add all the angles together, you MUST find them equal to 180. Another you need to keep in mind is that the angle that are face to face with each other are ALWAYS equal.
Too much talking...we gonna solve the problem.
x + x + 72 = 180
2x + 72 = 180
2x = 180 - 72
2x = 108
x = 108/2
x= 54
That's the answer .
---------------------
What did we say earlier? We said that when we add all the angles together we MUST find them equal to 180. So, we gonna replace x by 54
54 + 54 + 72 = 180
180 = 180
So.. yes we got it right!
54 is the correct answer.
Good luck with your studies!
Related Questions
How is multiplying radicals so similar to just simplifying them?
Answers
sqrt(45) can be written as the product of sqrt(9) and sqrt(5). Since the sqrt(9)= 3, the product becomes 3(sqrt(5)). When radicals are simpified, the perfect squares are factored out inside of the radical. sqrt(45) can be written as sqrt(9*5) since sqrt(9)=3, the result then becomes 3sqrt(5). They are similar because the same steps are taken with multiplying radicals as when radicals are simplified.
10 PTS!!! HELP!
Lifting a chair that weighs 4 kg to a height of 40 cm takes 16 J of energy.
a) What amount of energy would be needed to lift a similar chair to a height of 80 cm?
b) What amount of energy would be needed to lift a chair that weighs 2kg to a height of 40 cm?
Answers
b) The amount of energy that would be needed to lift a chair that weighs 2kg to a height of 40 cm would be 8 joules.
Answer for b = 8 j
Write the contrapositive of the statement below.
If a triangle is an obtuse triangle, then it has one angle with measure greater than 90°
A triangle has one angle greater than 90°.
A triangle is an obtuse triangle.
If a triangle is not an obtuse triangle, then it does not have one angle greater than 90°.
If a triangle does not have one angle greater than 90°, then it is not an obtuse triangle.
Answers
A travel bureau estimates that when 20 tourists go to a resort with ten hotels. find the probability that no hotel is left vacant when the first group of 20 tourists arrives.
Answers
The solution for this problem is:
One way to solve is to using the "stars and bars" approach, but this could be the other one:
x1 + x2 + x3 + x4 + x5 + x6 + x7 + x8 + x9 + x10 = 20
then use (20+10-1) C(10-1), this will
result to 29C9.
Then find the way to distribute x
as a result, (20-10+10-1) C (10-1) = 19C9
Thus, the probability is 19C9/29C9 or 0.0093
Bonita is testing prototype model rocket engines. To be considered a successful launch, the rocket must reach a height of at least 24 ft and must go a horizontal distance of no more than 10 ft. The vertical height must be at least three times as high as the horizontal distance. No rocket should go higher than 33 ft.
The graph shows the feasible region, where x represents the horizontal distance and y represents the vertical distance.
Which ordered pairs meet all the constraints for a successful launch and make sense in context of the situation?
Select each correct answer.
(0, 33)
(4, 36)
(4.8, 30.5)
(9, 26)
(2, 22)
Answers
How do you do 6p-(5p+5)=-8-2(p+12)
Answers
6
p
−
(
5
p
+
5
)
=
−
8
−
2
(
p
+
12
)
Step 1: Simplify both sides of the equation.
6
p
−
(
5
p
+
5
)
=
−
8
−
2
(
p
+
12
)
6
p
+
−
1
(
5
p
+
5
)
=
−
8
−
2
(
p
+
12
)
(Distribute the Negative Sign)
6
p
+
−
1
(
5
p
)
+
(
−
1
)
(
5
)
=
−
8
−
2
(
p
+
12
)
6
p
+
−
5
p
+
−
5
=
−
8
−
2
(
p
+
12
)
6
p
+
−
5
p
+
−
5
=
−
8
+
(
−
2
)
(
p
)
+
(
−
2
)
(
12
)
(Distribute)
6
p
+
−
5
p
+
−
5
=
−
8
+
−
2
p
+
−
24
(
6
p
+
−
5
p
)
+
(
−
5
)
=
(
−
2
p
)
+
(
−
8
+
−
24
)
(Combine Like Terms)
p
+
−
5
=
−
2
p
+
−
32
p
−
5
=
−
2
p
−
32
Step 2: Add 2p to both sides.
p
−
5
+
2
p
=
−
2
p
−
32
+
2
p
3
p
−
5
=
−
32
Step 3: Add 5 to both sides.
3
p
−
5
+
5
=
−
32
+
5
3
p
=
−
27
Step 4: Divide both sides by 3.
3
p
3
=
−
27
3
p
=
−
9
Write the conversion factor for converting meters to centimeters.
Answers
Therefore, centimeter/meter = 1/100, or 100*centimeter/meter = 1.
Thus, to convert "x" meters into centimeters, you write:
x meter = x*100*centimeter*meter/meter.
At this point, the "meter" cancel out, and you get:
x meter = 100*x centimeters.
This technique is called dimensional analysis, and it is very useful. All you are doing is multiplying by 1, and that takes care of the units.
Answer:
1 meter = 100 centimeter
Step-by-step explanation:
A conversion factor is a numerical value that we use to change one set of unit to another set by performing actions like multiplication or division. When we are converting something, we must use the appropriate conversion factor of an equal value. Few conversions are :
1 meter = 100 centimeter
1 kilometer = 1000 meter
1 foot = 12 inches
1 gallon = 4.54 liters
We want the conversion factor for converting meters to centimeters. this is 1 m = 100 cm.
Question help the critical value of a twominus−sided tminus−test computed from a large sample
a. is 1.64 if the significance level of the test is 5%.
b. cannot be calculated unless you know the degrees of freedom.
c. is the same as the pminus−value.
d. is 1.96 if the significance level of the test is 5%.
Answers
What time is 8 hours and 51 minutes before 11:13 P.M.?
Answers
8 hours and 51 minutes before 11:13 P.M. is 2:22 P.M.
To find what time it is 8 hours and 51 minutes before 11:13 P.M., we need to subtract 8 hours and 51 minutes from 11:13 P.M. Here's a step-by-step explanation:
Start with the minute subtraction. Since 13 minutes is less than 51 minutes, we need to borrow one hour from the 11 P.M. So, we change 11:13 P.M. to 10:73 P.M.Now, subtract the minutes: 73 - 51 = 22 minutes. So now we have 10:22 P.M.Next, subtract the hours: 10 P.M. - 8 hours = 2 P.M.Thus, 8 hours and 51 minutes before 11:13 P.M. is 2:22 P.M.
The population in Utah was 2,763,888 in 2010. The number of people living in Utah in 2016 increased by 10.4% percent. What was Utah's approximate population in 2016?
Answers
now, if 2,763,888 is the 100%, what is the 110.4% of it then?
[tex]\bf \begin{array}{ccll} amount&\%\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 2,763,888&100\\ x&110.4 \end{array}\implies \cfrac{2,763,888}{x}=\cfrac{100}{110.4} \\\\\\ \cfrac{2763888\cdot 110.4}{100}=x[/tex]
List all of the number sets that contain the number 15.
A.
rational numbers and integers
B.
rational numbers, integers, and natural numbers
C.
rational numbers, integers, and whole numbers
D.
rational numbers, integers, natural numbers, and whole numbers
Answers
Final answer:
The number 15 belongs to several sets of numbers: it is a rational number, an integer, a whole number, and a natural number. Therefore, the correct answer to which sets contain the number 15 is D. Rational numbers, integers, natural numbers, and whole numbers.
Explanation:
Number sets form a hierarchy where certain numbers fit into multiple categories based on their characteristics. Starting from the broadest categories, we have complex numbers, which include all numbers with a real and imaginary part. However, the number 15 does not have an imaginary part, so we look to smaller sets.
The real numbers include all the values that can be found on the number line, which includes rational numbers (like fractions), irrational numbers (like √2), integers, whole numbers, and natural numbers. The number 15 is a real number because it can be found on the number line, but it is also specifically a rational number, an integer, a whole number, and a natural number because:
As a rational number, it can be expressed as the ratio of two integers, specifically 15/1. As an integer, it is a whole number and does not have a fractional or decimal part. As a whole number, it is a non-negative integer, starting from 0 and moving upwards. As a natural number, it is a positive integer used for counting (1, 2, 3, ...).
Therefore, the correct answer to the question is D. Rational numbers, integers, natural numbers, and whole numbers all contain the number 15.
Find the measure of angle Q
Answers
The value of ∠Q in the figure is 146⁰.
How to determine the value of The value of ∠Q in the figure.
From the figure
Given
∠P = 2x + 10
∠R = 6x - 4
In ∆PQR
∠P + ∠Q + ∠R = 180⁰(sum of angles in triangle)
Substitute
2x + 10 + ∠Q + 6x - 4 = 180
8x + 6 + ∠Q = 180
But m∠P = m ∠R(base angles of issoceles triangle)
2x + 10 = 6x -4
-4x = -14
x = 7/2
Substitute into 8x + 6 + ∠Q = 180
8(7/2) + 6 + ∠Q = 180
28 + 6 + ∠Q = 180
34 + ∠Q = 180
∠Q = 180 - 34
= 146⁰
The value of ∠Q is 146⁰
A car recently sold for $32,345. If there's a 6% sales tax on automobile sales, how much tax will be added to the price of the car
Answers
Answer:
1940.70
Step-by-step explanation:
Consider the following expression.
9v+2u+1
select all the true statements below.
*9v is a coefficient
*v+2u+1 is is written as a sum of three terms
*9v and 1 are like terms
*9v is a factor
*1 is a constant
*None of these are true
Answers
They forgot the 9 in the second line false
9v and 1 are not like terms false
9v is not a factor false
1 is a constant TRUE
The statements that are true are: v+2u+1 is written as a sum of three terms, and 1 is a constant.
Explanation:Let's analyze each statement one by one:
9v is a coefficient: False. Coefficients are the numbers that multiply the variables. In this case, 9v is a term where 9 is the coefficient and v is the variable. v+2u+1 is written as a sum of three terms: True. The expression v+2u+1 can be separated into three terms - v, 2u, and 1. 9v and 1 are like terms: False. Like terms have the same variables raised to the same power. In this case, 9v and 1 are not like terms. 9v is a factor: False. Factors are multiplied together to get a product. In this case, 9v is not being multiplied by anything. 1 is a constant: True. Constants are terms that do not contain variables. In this case, 1 is a constant term. None of these are true: False. As we have identified, statement 2 and 5 are true. Learn more about Algebra here:
https://brainly.com/question/32436021
#SPJ11
The environmental club is selling indoor herb gardens for Earth Day. Each member is encouraged to sell at least 10 gardens. You sell 3 gardens on Monday and 4 gardens on Tuesday. Write and save an inequality to find the possible numbers of gardens you can sell to reach your goal.
Answers
If each member are encouraged to sell at least 10 gardens, and you have already sold 3 + 4 = 7 gardens, therefore you only lack 3.
Let us say that x = the number of gardens you can sell, therefore the inequality equation is:
x ≥ 3
or we can also say
x > 2
Jennifer is planning a vacation. The hotel cost $60 per night and her flight costs $150 round-trip. she has a budget of $50 for the flight and hotel up to how many nights can she afford in hotel?
Answers
Well if the hotel costs 60 dollars per night and she is only willing to spend $50 she wouldn't be able to spend any nights in the hotel I believe.
Hope this helps!
If a number is subtracted from its square, the result is 2. find the number.
Answers
Just move the 2 to the other side to make it a quadratic equation then find the x values by factoring or using the quadratic formula.
What is the slope of a line parallel to the line 4x - 7y = -14?
Answers
4x - 7y = -14
Subtract 4x from both sides of the equation.
-7y = -4x - 14
Divide all terms by -7.
y = 4/7x + 2
Solution: The slope of a line parallel to 4x - 7y = -14 is positive 4/7.
Final answer:
The slope of a line parallel to the line 4x - 7y = -14 is determined by converting the equation to slope-intercept form, revealing that the slope is 4/7. Thus, any line parallel to it will have the same slope of 4/7.
Explanation:
The slope of a line parallel to the line 4x - 7y = -14 is first determined by rewriting the given line in slope-intercept form (y = mx + b), where m represents the slope. For the line 4x - 7y = -14, we can solve for y to find the slope:
Add 7y to both sides: 4x = 7y - 14.
Then add 14 to both sides: 4x + 14 = 7y.
Finally, divide every term by 7 to solve for y: (4/7)x + 2 = y.
The slope of the line is 4/7. Since parallel lines have equal slopes, any line parallel to the given line will also have a slope of 4/7.
Solve this quadratic equation using the quadratic formula.
x2 - 6x + 6 = 0
Answers
The solutions of the quadratic equation are 3 ± √3.
What are Quadratic Equations?Quadratic equations are defined as the polynomial equations of second degree.
The general form of a quadratic equation is ax² + b x + c = 0.
Given quadratic equation is x² - 6x + 6 = 0.
The solutions of a quadratic equation ax² + bx + c = 0 can be found using the quadratic formula,
x = [-b ± [tex]\sqrt{b^2-4ac}[/tex] ] / 2a
From the given equation,
a = 1, b = -6 and c = 6
Substituting in the quadratic formula,
x = [-(-6) ± [tex]\sqrt{(-6)^2-(4*1*6)}[/tex] ] / [2 × 1]
= [6 ± [tex]\sqrt{36-24}[/tex]] / 2
= [6 ± [tex]\sqrt{12}[/tex]] / 2
= [6 ± 2√3] / 2
= 3 ± √3
Hence the solutions of the given quadratic equation are 3 + √3 and 3 - √3.
To learn more about Quadratic Equations, click on the link given below :
https://brainly.com/question/29413631
#SPJ2
2x + 12 - 7x = -2 for x
leave your answer as an improper fraction or convert to a decimal
Answers
2x+12-7x=-2
-5x+12=-2
-5x=-14
x=14/5
The line passes through the points ( 7, -7) and ( 6, -5) a. y = -2x + 7 c. y = -2x - 7 b. y = 2x - 21 d. y = 2x - 7
Answers
y = mx + b
b = y - mx
b = -7 - (-2)(7)
b = -7 + 14
b = 7
equation
y = -2x + 7
answer
a. y = -2x + 7
Final answer:
The equation of the line passing through the points (7, -7) and (6, -5) is determined by finding the slope, which is -2, and then using the point-slope formula. However, the correct equation y = -2x + 21 is not listed among the student's provided options.
Explanation:
The student's question asks for the equation of a line that passes through two given points: (7, -7) and (6, -5). To find the equation of the line, we first need to determine its slope.
We use the formula for slope which is (change in y) / (change in x), often written as (y2 - y1) / (x2 - x1)
Slope = (-5 - (-7)) / (6 - 7) = 2 / -1 = -2. Therefore, the slope (m) is -2.
With the slope known, the next step is to use the point-slope form of the line equation, which is y - y1 = m(x - x1). Substituting one of the points and the slope, we get y - (-7) = -2(x - 7). Simplifying this gives us y = -2x + 14 + 7, which simplifies further to y = -2x + 21.
Therefore, among the options provided by the student, none of the equations match precisely, which means either there is a mistake in the question's options or in the calculation. However, the closest match, by the slope, would be option y = -2x - 7, considering only the slope and not the intercept.
Describe two ways to solve the equation 2(4x-11)=10
Answers
Simplify 8(xy + 8) + 1
Answers
Final answer:
The expression 8(xy + 8) + 1 simplifies to 8xy + 65 by applying the distributive property and combining like terms.
Explanation:
The question asks to simplify the expression 8(xy + 8) + 1.
To simplify this expression, we need to apply the distributive property of multiplication over addition, which states that a(b + c) = ab + ac. Hence, we distribute the 8 across the terms inside the parentheses:
8 × xy = 8xy8 × 8 = 64After distributing we combine the like terms:
8xy + 64 + 1
Then we combine the numerical terms:
8xy + 65
So, the expression simplifies to 8xy + 65. This is the final simplified form of the given expression.
Michael's score is 586. moises' score is 754. michael estimates he needs about 200 more points to reach moise' score. explain how michael came up up with his estimate what strategy did he use
Answers
The formula V = IR shows the relationship between voltage, current, and resistance. Solve this formula for R.
R = VI
R = V divided by I
R = V + I
R = V – I
Answers
This would look like:
V=IR
V/I=R/I
V/I=R
ANSWER
R=v divided by I
The formulae for resistance R is R = V/I
What is Ohm's Law ?
Providing that all physical conditions and temperatures are constant, Ohm's law says that the voltage across a conductor is directly proportional to the current flowing through it.
Ohm's law is given as :
V = IR
Now to find the value of R we divide both side by current I :
[tex]\begin{aligned}V&=IR\\R&=\frac{V}{I}\end{aligned}[/tex]
Therefore, the formulae for resistance R is R = V/I
Learn more about "ohm's law" here:
https://brainly.com/question/12865879
#SPJ2
The volume of a rectangular prism is measured in cubic iscubic inches. WhatWhat units will the length, width, and height of the prism be measured in?
A. Inches
B. square inches
C. cubic inches
D. feet
Answers
given unit is inch
so the answer is A. inches
by graphing the system of constraints find the values of x and y that maximize the object function.
Answers
Answer with Step-by-step explanation:
The solution of system of equations is all those values of x and y which satisfy both the inequalities or the points which lie in the region common between both the inequalities.
N=100x+40y
The optimal solution will be find from the points which lie on the extreme end of the region common between the inequalities i.e. (2,6), (0,8) or (5,0)
(x,y)=(2,6)
N=100×2+40×6
N= 200+240
N=440
(x,y)=(0,8)
N=100×0+40×8
N= 0+320
N=320
(x,y)=(5,0)
N=100×5+40×0
N= 500+0
N=500
Hence, optimal solution is:
(5,0)
geometry help will give brainliest
Answers
=========
Write an equation for line passing through (8,12) that is perpendicular to
y = (4/3)x - 5
Note:
When two lines are perpendicular, the product of their slopes is -1.
The slope of the given line is 4/3.
Therefore the slope of the perpendicular line is -3/4.
Let the equation of the perpendicular line be
y = -(3/4)x + c
Because the line passes through (8,12), therefore
-(3/4)*8 + c = 12
-6 + c = 12
c = 18
The equation is y = -(3/4)x +18
Answer: [tex]y= -\frac{3}{4} x + 18[/tex]
Problem 2
=========
Write an equation for a line passing through (-30,7) that is perpendicular to
y = -3x - 5.
The perpendicular line will have a slope of 1/3. Let its equation be
y = (1/3)x + c
Because the line passes through (-30,7), therefore
(1/3)*(-30) + c = 7
-10 + c = 7
c = 17
The equation is y = (1/3)x + 17
Answer: [tex]y = \frac{1}{3} x + 17[/tex]
How many solutions does the equation have?
2x + 3 = 4x + 2
A. No solutions
B. One solution
C. Many solutions
Answers
The equation will have only one root.
What is equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" symbol and terms on both sides must always be present when writing an equation. Equal treatment should be given to each party. Multiple terms, operators, and variables are not required on each side of an equation.
Given equation:
2x + 3 = 4x + 2
On solving
2x - 4x = 2-3
-2x = -1
x= -1/(-2)
x= 1/2
Also, the equation as only one variable of degree one which implies that it will have only one solution.
Learn more about equation here:
https://brainly.com/question/10413253
#SPJ5
two vertices of an isosceles triangle in the coordinate plane have coordinates (0,0) and (2a,0). Where might the third vertex be located?
Answers
Given that two of the vertices are at point (0, 0) and point (2a, 0), the mid point of the line joining the two given vertices is at point (a, 0).
Therefore, the third vertex of the triangle will lie at point (a, b) where b is any number not equal to 0.