The required measure of angle ∠A would be 89°.
What are supplementary angles?The supplementary angles are defined as when pairing of angles addition to 180° then they are called supplementary angles.
The angles are given in the question:
m∠A = (3x+23)° and m∠B = (4x+4)°
Since both m∠A and m∠B are supplementary angles.
As per the property supplementary angles,
m∠A + m ∠B = 180°
Substitute the values of m∠A + m ∠B in the equaiton
(3x+23)° + (4x+4)° = 180°
3x + 4x = 180 - 23 - 4
7x = 153
x = 153/7
x = 21.857
Substitute the values of x = 21.857 in m∠A = (3x+23)°
m∠A = 3(21.857) + 23
m∠A = 88.571 ≈ 89°
Thus, the required measure of angle ∠A would be 89°.
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tried solving it but can't find Q
Answer:
4.5 i think
Step-by-step explanation:
25/5=60/12 do they form a proportion
Answer: YES
Step-by-step explanation: both equal 5 when divided.
Find the surface area
Answer: 120 yds
Step-by-step explanation:
48+30+24+18+120 yds
An alligatoris 8 inches long at birth and grous 6 inches per year. Wirite an equation that represents the lengthy needs of an alligator that is years old
How long will the alligator be aher 5 years?
Answer:
6x+8
Step-by-step explanation:
38 inches. We write an equation for how much it grows each year, plus the original 8 inches. So, 6(5)+8=38
Two trains leave the station at the same time, one heading east and the other west. The eastbound train travels 20 miles per hour slower than the westbound train. If the two trains are 360 miles apart after 2 hours, what is the rate of the eastbound train?
Answer:
Westbound = x;
Eastbourne = x-20;
So they will have the common rate: 360/2 = 180;
x+x-20 = 180
2x = 200;
x = 100;
So Eastbourne will be 100-20 = 80 miles per an hour;
convert 0.00633 to a scientific notation
Answer:
6.33 × 10⁻³
Step-by-step explanation:
Scientific Notation: x.xx × 10ⁿ
We simply follow the base 10 decimal system to put anything in scientific notation. Since we are moving the decimal place 3 places to the right, we would have it as 10⁻³ multiplying our standard form.
Answer:
6.33 × 10\(^{-3}\)
Step-by-step explanation:
** The negative three is supposed to be an exponent **
Each triangle in the quilting square pattern shows has a base and height of 2 inches how much fabric is needed to create one quilting square
Answer:
The amount of fabric needed to create one quilting square is 8 inches.
Answer:
The amount of fabric needed to create one quilting square is 8 inches.
Step-by-step explanation:
Consider the equation
x/x − 1 = 6x + 1/x − 1
What is the LCD?
Multiply both sides of the equation by the LCD and rewrite the resulting quadratic equation in general form. _____=0
Solve the equation and check the solutions in the original equation. (Enter your answers as a comma-separated list.) x=________
The solution to the original equation is 1, 1/6
Solving equationEquations are expressions separated by mathematical operations.
Given the equation below
x/x − 1 = 6x + 1/x − 1
From the given expression, the least common denominator is x -1
Multiply both sides by x-1 to have;
x = 6x(x-1) +1
Expand
x = 6x^2-6x + 1
Equate to zero
6x^2-6x-x + 1 = 0
6x^2-7x +1= 0
The resulting quadratic equation in general form is 6x^2-7x +1 = 0
Factorize
6x^2 -6x-x + 1 = 0
Group the result
6x(x-1)-1(x-1) = 0
(6x-1)(x-1) = 0
6x - 1 = 0 and x -1 = 0
x = 1 and 1/6
Hence the solution to the original equation is 1, 1/6
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b) Work out the size of angle x. Give your
answer in degrees (º).
56°
X
59°
77°
Answer:
Step-by-step explanation how do I use this appp :
Evaluate each expression using the value w=4, a=2, and h=5
Equation is:
6w+2a
Answer:
6w + 2a = 28
Step-by-step explanation:
the expression given, 6w + 2a, contains no variable h, so it's best to just ignore that h = 5.
first, plug in the values for w and a. you can do this in whatever order you want, but i'll start with w for this example.
plug in 4 for w.
6w + 2a
6(4) + 2a
now plug in 2 for a.
6(4) + 2a
6(4) + 2(2)
after plugging in the values, your expression is 6(4) + 2(2).
all that's left is to simplify. again, this can be done in whatever order you prefer, but i'm going to start with 6(4).
6(4) + 2(2)
24 + 2(2)
continue simplifying by multiplying 2(2).
24 + 2(2)
24 + 4
now add 24 + 4.
24 + 4 = 28
so, when w = 4 and a = 2, 6w + 2a = 28.
you can check the answer by plugging those values for a and w back into the completed equation.
6w + 2a = 28
6(4) + 2(2) = 28
24 + 4 = 28
28 = 28
since both sides of the equation are equal, that means that your answer of 28 is correct! :)
i hope this helps! have a great day <3
9x-3=87 what is the anwser
Answer:
x=10
Step-by-step explanation:
9x-3=87
add 3 to both sides
9x=90
divide by 9 on both sides
x=10
Answer:
x=10
Step-by-step explanation:
9x-3=87
you add 3 to both sides
9x-3(+3)=87(+3)
which equals
9x=90
90/9= 10
answer:
x =10
I hope this helped!
Marvin used the Quantitative Reasoning Process to build a budget while he is going to college. He worked hard over the summer and saved $2,595.9 to live on during the next two semesters of school. Marvin will receive a scholarship each semester for $958.35. If he plans to use up all of his savings while at school, how much money can Marvin spend each month, on average, for things like groceries, entertainment, and miscellaneous items?
Assume two semesters equals 8 months total. Also assume Marvin has no other expenses than what he has listed here.
Scholarship for each Semester: $958.35
Tuition & Books Cost per Semester: $2,000
Housing Cost for a two-semester Contract: $1,000
If he has money left, what is the average monthly amount Marvin can afford to spend each month?
If he has overspent, what is the average monthly amount Marvin would be in debt each month?
(Indicate this amount with a negative sign)
For Marvin used the Quantitative Reasoning Process to build a budget while he is going to college. He worked hard over the summer and saved $2,595.9 to live on during the next two semesters of school. Marvin will receive a scholarship each semester for $958.35 money can Marvin spend each month, on average, for things like groceries, entertainment, and miscellaneous items is mathematically given as
$4512.6
How much money can Marvin spend each month, on average, for things like groceries, entertainment, and miscellaneous items?Savings with Marvin = $2,595.9
Scholarship amount = $958.35
Total Scholarship amount received in 2 semesters = $958.35 X 2 = $ 1916.7
Now total money that Paolo have = (Savings with Marvin) + (Total Scholarship amount received in both semesters) = $2,595.9 + $1916.7 = $ 4512.6
Tuition & books cost = $2000
Tuition & books cost for 2 semesters = $2000 X 2 = $4000
Housing cost for 2 semester contract =$1,000
Total expenses in books and housing = $4000+ $1000 = $5000
Money left with Marvin after Total expenses in books and housing = $ 4512.6 - $5000 = −487.4
This means he has overspent.
as no. of months in 2 semesters = 8
Amount that Marvin would be in debt each month = −487.4/8 = −$60.925
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What are the two consecutive whole numbers that the quotient for 86 ÷ 11 is between?
Answer:
Umm i need the answer to that question to lol haha...
Step-by-step explanation:
A, B, C, and D have the coordinates (-8, 1), (-2, 4), (-3, -1), and (-6, 5), respectively. Which sentence about the points is true? A. A, B, C, and D lie on the same line. B. and are perpendicular lines. C. and are parallel lines. D. and are intersecting lines but are not perpendicular. E. and are parallel lines. Reset Next
We can see that lines AB and CD intersect at pοint P, and they are nοt perpendicular. Therefοre, sentence D is true.
What is the Cartesian plane?The Cartesian plane, alsο knοwn as the cοοrdinate plane, is a twο-dimensiοnal plane used tο represent pοints, lines, and shapes in geοmetry.
Tο determine which sentence abοut the pοints is true, we can plοt the pοints and examine their relatiοnships visually.
The plοt shοws that the pοints A, B, C, and D dο nοt lie οn the same line. Therefοre, sentence A is false.
We can alsο οbserve that nοne οf the pairs οf lines fοrmed by the pοints are perpendicular. Therefοre, sentence B is false.
Similarly, nοne οf the pairs οf lines are parallel. Therefοre, sentence C is false.
We can see that lines AB and CD intersect at pοint P, and they are nοt perpendicular. Therefοre, sentence D is true.
Finally, lines BC and AD are parallel tο each οther, and they dο nοt intersect. Therefοre, sentence E is false.
Hence, the cοrrect answer is D.
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Min draws an isosceles triangle. . Which attributes describe his triangle? Choose each correct answer. o no angles the same measure closed figure o three sides not a polygon two obtuse angles at least two sides the same length
Answer:
the answers are three sides, closed figure and at least two sides the same length
Step-by-step explanation:
The attributes that represent the isosceles triangle should include three sides, a closed figure, and at least two sides of the same length.
What is an isosceles triangle?In terms of geometry, the isosceles triangle refer to the triangle where it does have two sides of the equal length. Also, it have exactly two sides of equivalent length.
Therefore, we can conclude that The attributes that represent the isosceles triangle should include three sides, a closed figure, and at least two sides of the same length.
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If 6×2 + 6y2 = 13xy, what is the ratio of x to y?
Answer:
Since 6X2 + 6Y2 = 13 xy
-- 6X2 / XY + 6Y2/XY =13
---> 6 X/Y + 6 Y/X =13
6a + 6/a =13
---> 6a2 + 6 =13a
---> 6a2 -13a +6 =0
---> 6a2 -9a - 4a +6 =0
---> (2a-3) (3a-2) =0
2a-3 = 0
a= 3/2
So the Ratio will be = 3:2
Equation A: y = -9x + 14
Equation B: y = x - 6
What is the solution (
,
) to the given set of equations?
Answer:
answer is (2,-4)
Step-by-step explanation:
I did it's process in next question
A $5000 investment pays 3% interest compounded monthly. To the nearest cent, what will be the value of the investment after 10 years?
Answer:
We can use the formula for compound interest to solve this problem. The formula is:
A = P * (1 + r/n)^(n*t)
where:
A = the amount of money after t years
P = the principal amount (the initial investment)
r = the annual interest rate (as a decimal)
n = the number of times the interest is compounded per year
t = the number of years
In this case, P = $5000, r = 0.03, n = 12 (since the interest is compounded monthly), and t = 10. Plugging these values into the formula, we get:
A = 5000 * (1 + 0.03/12)^(12*10)
A = 5000 * (1.0025)^120
A ≈ $6,621.36
So the investment will be worth approximately $6,621.36 after 10 years.
¿De cuántas formas se puede cruzar un río una vez, si se cuenta con 1 bote y 2 barcos?
Answer:
3 formas
Step-by-step explanation:
Se nos pide que averigüemos cuántas formas puede utilizar para cruzar un río si tiene 1 bote y 2 barcos
Número total de barcos = 3 barcos.
Resolvemos esto usando la regla de combinación.
C (n, r) = nCr = n! / R! (n - r)!
n = Número de barcos = 3
r = Número de ríos = 1
3C1 = 3! / 1! (3 - 1)!
= 3! / 1! × 2!
= 3 × 2 × 1/1 × 2 × 1
= 3 formas.
Por lo tanto, el número de vías por las que puede cruzar un río utilizando 1 bote y 2 barcos es de 3 formas.
who ruled china in 150 bce
Answer:
Heliul are proprietăți chimice atât de diferite de cele ale celorlalte elemente încât nu poate fi plasat în niciun grup.
Step-by-step explanation:
A customer has a credit card that charges 18% simple interest every year. How much interest will the customer save by paying off a credit card debt of 5,00 at the end of i year instead of at the end of 3 years
Did you get the answer it’s been a week:l
Answer:
$900
Step-by-step explanation:
because 18% of 5,000 is 900
The 3 is in a place that is 100 times greater than the place of the 4.
The 2 is in a place that is 10 times less than the place of 3
The 8 is in a place that is 10 times less than the place of 4.
The 7 is in a place that is 100 times greater than the 2.
Answer:8
Step-by-step explanation:The mystery number is 8 of in decimal is 8538.01. hope its help u guys.!!:)
Which inequality is graphed below
Answer:
wheres it at?
Step-by-step explanation:
#Everything4Zalo
Find the exact values of the numbers c that satisfy the conclusion of the Mean Value Theorem for the interval [−2, 2]. (Enter your answers as a comma-separated list.)
Answer:
The answer is "\(\bold{c= \pm \frac{2}{\sqrt{3}}}\)"
Step-by-step explanation:
If the function is:
\(\to f'(x) = 3x^2-2 \\\\\to f'(c) = 3c^2-2\)
points are:
\(\to -2 \leq x \leq2\)
use the mean value theorem:
\(\to f'(c) = \frac{ f(b)- f(a)}{b-a}\)
\(= \frac{ f(2)- f(-2)}{2-(-2)}\\\\= \frac{4-(-4) }{4}\\\\= \frac{8}{4}\\\\= 2\)
\(\to 3c^2-2=2 \\\\\to 3c^2=4 \\\\\to c^2=\frac{4}{3} \\\\c= \pm \frac{2}{\sqrt{3}}\)
y= -5x + 12
y = -5x – 7
Answer:
19
Step-by-step explanation:
1. y= -5x + 12
y= -5x – 7
2. -5x + 12
-(-5x – 7)
3. -5x + 12
5x + 7
0 +19
4. 19
PLEASE HELP ME!
Find the x- and y-intercepts of the graph of -x+2y=6. State each answer as an integer or an improper fraction in simplest form.
Which statement is true about the points shown below?
(-3,1)
(7.1)
The distance between them is zero because they have the same y coordinate.
The distance between them can be found by counting from -3 to 7.
The distance between them cannot be calculated because the points do not have the same x-coordinate.
The distance between them can be found by doubling the distance of either point from the yaxis.
Answer:
The distance between them can be found by counting from -3 to 7.
Step-by-step explanation:
got 100 on my assignment
Classify the quadrilateral, and then find the value of the variable for each figure:
Answer:
\(x=4,\\y=8\)
Step-by-step explanation:
Notice that in the diagram, opposite sides are equal. This is true for any rectangle, so even without the equal sides being marked, we'd know that each pair of opposite sides have the same length.
Therefore, we can set up the following equations and solve for \(x\) and \(y\):
\(2y=y+8,\\y=\boxed{8}\)
\(4x-8=2x,\\-8=-2x,\\x=\boxed{4}\)
Five times the product of negative four and a number
Answer:
-20x
Step-by-step explanation:
Let the number be x.
The product of -4 and this number is -4x.
5 times this is 5(-4x), which simplfiies to -20x.
I need some help with this one please
The percentage of students who do not walk to class and do not have a lunchbox is 28.25 %.
Percentage calculationFrom the illustration:
Total number of students = 400
Number of students that do not walk and do not have a lunchbox = 113
Percentage component = number of component/total number x 100
Thus:
Percentage of students who do not walk to class and do not have a lunchbox:
= 113/400 x 100%
= 28.25 %
To the nearest hundredth = 28.25%
In other words, the percentage of students who do not walk to class and do not have a lunchbox is 28.25%.
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