Answers
Let
m∠ABD--------> x degrees
we know that
The sum os the internal angles of a trapezoid is equal to [tex] 360 degrees [/tex]
So
[tex] 2*116+2*(24+x)=360\\ 232+48+2x=360\\ 2x=360-280\\ x=40degrees [/tex]
therefore
the answer is
The measure of the angle m∠ABD is [tex] 40 degrees [/tex]
Related Questions
Robyn opened a bank account to save her birthday money. it was paying 3.75% interest. then the interest rate went up by 0.65%. how much is her new interest rate?
Answers
What is an equation for the line with slope 2/3 and y-intercept 9?
Answers
m=slope
b=yintercept
given
slope=2/3=m
yintercept=9=b
y=2/3x+9
Answer:
[tex]y=\frac{2}{3}x+9[/tex]
Step-by-step explanation:
We can describe a line using the following equation :
[tex]y=ax+b[/tex]
Where ''a'' and ''b'' are real numbers.
In the equation, the number ''a'' is the slope of the line. If we want a line with slope [tex]\frac{2}{3}[/tex] ⇒
[tex]y=\frac{2}{3}x+b[/tex]
The intersection of a line with the y-axis can be calculated replacing [tex]x=0[/tex] in the equation ⇒
[tex]y=(\frac{2}{3}).(0)+b\\y=b[/tex]
The interception is the real number ''b''. We want that interception to be 9
⇒
[tex]y=\frac{2}{3}x+9[/tex] is the equation of the line with slope [tex]\frac{2}{3}[/tex] and that intersects the y-axis at the point [tex](0,9)[/tex]
The length of a rectangle is 4 inches less than twice its width. if the area of the rectangle is 70 square inches, what are its dimensions?
Answers
is the answer correct? do let me know:-)
L = 2W - 4
A = 70
70 = W(2W - 4)
70 = 2W^2 - 4W
2w^2 - 4W - 70 = 0
2(W + 5)(W - 7) = 0
W + 5 = 0
W = -5....extraneous solution...does not work
W - 7 = 0
W = 7
L = 2W - 4
L = 2(7) - 4
L = 14 - 4
L = 10
so the length (L) = 10 inches and the width (W) = 7 inches
Of the students in ms. dancer's class, 6 walk to school. this represents 30% of her students. how many students are in ms. dancer's class?
Answers
x is the number of students in the class in total
[tex]30x=600[/tex]
[tex]x=20[/tex]
Simplify but do not evaluate. 2 to the power of 3 times 2 to the power of 4.
Answers
Solve the equation. (enter your answers as a comma-separated list.)2^−125x = (0.5)^x − 5
Answers
-125x - 0,5x = -5 -2
-125,5x=-7
x= -7/-125,5
x=0,05...
Find the area of an equilateral triangle with a radius 6 square root of 3. Leave your answer in simplest radical form
Answers
Final answer:
The area of the equilateral triangle with a radius of 6√3 is 27√3 square units.
Explanation:
An equilateral triangle has all three sides equal in length and all three angles equal to 60 degrees. In this case, the radius of the circumscribed circle is given as 6√3. This radius is equal to the length of the side of the equilateral triangle.
To find the area of an equilateral triangle, we can use the formula A = (sqrt(3)/4) * s^2, where s is the length of the side of the triangle.
Substituting the given value of the radius into the formula, we have:
A = (sqrt(3)/4) * (6√3)^2 = (sqrt(3)/4) * 108 = 27sqrt(3).
Therefore, the area of the equilateral triangle is 27sqrt(3) square units.
Fill in the missing numbers to complete the factorization. Some of the numbers could be negative. Type the numbers in increasing order.
x 3 + 2x 2 - x - 2 = (x +
Answers
Answer:
[tex]x^3+2x^2-x-2=(x+1)(x-1)(x+2)[/tex]
Step-by-step explanation:
We have given equation : [tex]x^3+2x^2-x-2=(x+[/tex]
To find : the missing numbers
We have given that missing numbers complete the factorization
so, we find the factors of the given equation
[tex]x^3+2x^2-x-2=0[/tex]
with the help of graph(attached) we find the roots of the equation or you can also take help of hit n trial method.
Roots of the equation are = 1,-1,-2
therefore the factors are (x+1)(x-1)(x+2)
and the missing terms are the factors of the equation = (x+1)(x-1)(x+2)
Answer:
[tex](x-1)>(x+1)>(x+2)[/tex]
Step-by-step explanation:
The given equation is:
[tex]x^3+2x^2-x-2[/tex]
Factorizing the above equation, we get
[tex](x+1)(x^2+x-2)[/tex]
[tex](x+1)(x^2+2x-x-2)[/tex]
[tex](x+1)(x(x+2)-1(x+2))[/tex]
[tex](x+1)(x-1)(x+2)[/tex]
which is the required factorized form of the given equation.
Now, the numbers in increasing order are:
[tex](x-1)>(x+1)>(x+2)[/tex]
The town of Goodland, Kansas, claims that it has one of the world's largest easels. It holds an enlargement of a van Gogh painting that is 24 feet wide. The original painting is 58 cm wide and 73 cm tall. If the reproduction is similar to the original, what is the height of the reproduction to the nearest foot?
Answers
(24/58) x 73
A five-sided solid has the numbers 1, 2, 3, 4, and 5. What is the probability of rolling two five-sided number solids and getting a sum of either a 3 or an 8?
A. 6/625
B. 9/625
C. 6/25
D. 1/5
Answers
# of total events = 5x5 = 25
positive events = sum either 3 or 8:
1) 1 + 2 = 3
2) 2 + 1 = 3
3) 3 + 5 = 8
4) 4 + 4 = 8
5) 5 + 3 = 8
# of positive events = 5
probability = 5 /25 = 1/5
Answer: option D. 1/5
Answer:
The answer is D. 1/5 hopefully this helps!
The equation √7-x=x 5 has two possible solution.
Answers
Answer:
What is the extraneous solution of the equation? Answer: x= -9
What is the true solution of the equation? Answer: x= -2
This is the correct answer.
Hoped this helped!
At the end of the calendar year, the a/p department creates _____ forms for non-incorporated individuals paid over $600.00
Answers
Answer:
The Form 1099-MISC
Step-by-step explanation:
At the end of the calendar year, the a/p department creates 1099 MISC forms for non-incorporated individuals paid over $600.00
The Form 1099-MISC is an IRS tax return document used to give miscellaneous payments made to non employees like contractors etc, during the calendar year. This is recorded when at least $600 in services, rents and other payments are made.
Find the midpoint of the following segment created by these pairs of endpoints: (0, 1), (0, 5)
1: (1, 5)
2: (0, 2.5)
3: (0, 3)
4: (5, 1)
Answers
The mid point is the value in the middle of the two end points.
what is 32 percent of 60
Answers
The population of a town increases at the rate of 1% each year. today the town’s population is 8,500. what will the population be in five years?
Answers
Population of the town after 5 years = 8933.59.
What is Population growth rate?Population growth rate is defined as the change in the size of the population with respect to the time.
The growth rate is usually written as the ratio of the annual increase or decrease in population to the entire population of that year.
The formula for finding the future population is,
P(F) = P(R) [ 1 + r]ⁿ , where
P(F) = Future population
P(R) = Present population
r = Growth rate
n = Number of years
From the question, we have
P(R) = 8500, r = 1% = 0.01 and n = 5
Substituting these values in the main equation,
P(F) = 8500 [ 1 + 0.01 ]⁵
P(F) = 8500 × 1.01⁵
P(F) = 8933.59
Hence, the population of the town after 5 years if the rate of increase in population is 1% = 8933.59
To learn more about population growth rate, click:
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Geoffrey wrote the following paragraph proof showing that rectangles are parallelograms with congruent diagonals.
According to the given information, quadrilateral RECT is a rectangle.
By the definition of a rectangle, all four angles measure 90°.
Segment ER is parallel to segment CT and segment EC is parallel to segment RT by the Converse of the Same-Side Interior Angles Theorem.
Quadrilateral RECT is then a parallelogram by definition of a parallelogram.
Now, construct diagonals ET and CR. Because RECT is a parallelogram, opposite sides are congruent.
Therefore, one can say that segment ER is congruent to segment CT.
Segment TR is congruent to itself by the Reflexive Property of Equality.
The _______________ says triangle ERT is congruent to triangle CTR.
And because corresponding parts of congruent triangles are congruent (CPCTC), diagonals ET and CR are congruent.
Answers
The triangle congruence says triangle ERT is congruent to triangle CTR.
Eleven less than a number is more than seventeen in number form
Answers
add 11 to both sides
11-11+n>17+11
0+n>28
n>28
The function p(t) represents the value of a new car t years after it was manufactured.
p(t)=24,525(0.94)^t
What does the value 0.94 represent in this situation?
The value of the car increases by 94% each year.
The value of the car decreases by 94% each year.
The value of the car is 0.94 times the value of the car the previous year.
The initial value of the car is 0.94.
Answers
Answer:
The value of the car is 0.94 times the value of the car the previous year.
The weight of 8 science books is 28 pounds. what is the weight of 11 science books?
Answers
weight of 1 book = 28/8 lbs
Then, weight of 11 books will be: 28/8 * 11 = 38.5
So, your final answer is 38.5 Pounds.
Answer:
Weight of 11 books =38.5 pounds
Step-by-step explanation:
Weight of 8 science book = 28 pounds
Weight of 11 science books = ?
If 8 science books -----------------------28 pounds
then 11 science books ---------------------?
Cross multiplying, we have
Weight of 11 books = (11 * 28)/8
= 308/8
= 38.5 pounds
Someone help me with these problems ASAP
Answers
= x ∙ (2x^3 + x^2 − 8x − 4)
= x ∙ (x^2 ∙ (2x + 1) − 4 ∙ (2x + 1))
= x ∙ (x^2 − 4) ∙ (2x + 1)
= x ∙ (x − 2) ∙ (x + 2) ∙ (2x + 1)
Thus the roots are:
x ∙ (x − 2) ∙ (x + 2) ∙ (2x + 1) = 0
⇒ [x = 0] or [x − 2 = 0] or [x + 2 = 0] or [2x + 1 = 0]
⇒ [x = 0] or [x = 2] or [x = −2] or [x = − 1/2]
which ratio is proportional to 10/24
A 20/36
B 5/8
C 35/84
D 5/6
Answers
Answer:
C 35/84
Step-by-step explanation:
The given ratio is less than 1/2. Only one answer choice is less than 1/2: 35/84.
__
The given ratio reduces to 5/12. The reduced ratios of the answer choices are ...
A 5/9
B 5/8
C 5/12 . . . . your answer
D 5/6
A certain small factory employs 98 workers of these 10 recieve a wage of 150 dollars per day and the rest recieve 85.50 dollars a day to the management a week is equal to 6 working days how much does the factory pay out for each week
Answers
88 × $85.50 = $7524
1500 + 7524 = $9024 a day.
9024 × 6 = $54,144 (the answer)
Hope this helps!
Answer:
The factor payout for each week is $54144. Below is the explanation
Step-by-step explanation:
Given:
There are 98 employs
10 of them receive $150 per day
88 of them receive $85.50 per day.
There are 6 working days in a week.
To find:
Let's find the wage per week by multiplying the wage per day by the number of people and the number of days in a week.
10 of them receive $150 per day.
So, they will receive $150*10*6
Which is simplified as $9000.
88 of them receive $85.50 per day
So, they will receive $85.50*88*6
Which is simplified to $45144.
So, the sum of wages for both would be $9000+$45144.
Add them together, which gives $54144.
You can learn more:
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Sarah's age is five less than twice her sister's age. Sarah is fifteen years old.
Which equation could you use to solve for the age of Sarah's sister?
2x - 5 = 15
2(15) - 5 = x
15 = 5 - 2x
15 - 5 = 2x
Answers
=>sister .....x
Sarah.
twice x=2x. then less than 5
=> (2x-5 )
if Sarah = 15 years
by substation, 2x-5=15
What is 2576 divided by 3?
Answers
2576 divided by 3 is equal to 859 with a remainder of 2.
Explanation:When dividing 2576 by 3, you can divide each digit individually. Start with the first digit, 2. Since 2 is less than 3, you can't divide it evenly, so you move to the next digit. The next digit is 5. With 5, you can divide it evenly by 3, which gives you 1. Now, subtract 3 from 5, which gives you 2. Bring down the next digit, which is 7. The new dividend is 27. Divide 27 by 3, which gives you 9 with no remainder. Finally, bring down the last digit, which is 6. The new dividend is 26. Divide 26 by 3, which gives you 8 with a remainder of 2. So, 2576 divided by 3 is equal to 859 with a remainder of 2.
in the fraction 3/5 which statement best describes the denominator
Answers
Solve for w.
2w=12-4w
Simplify your answer as much as possible.
Answers
2w=12-4w
Firstly, let's simplify, and divide all terms by 2:
w=6-2w
Now, we add 2w over to the other side:
3w=6
And finally, we divide both sides by 3:
w=2
Hope this helps!
Liams entire school is traveling by bus to the new aquarium there are 665 boys and 473 girls in liams school if each bus can hold 45 students how many buses will be needed.
Answers
1,138 ÷ 45 = 25.28888888888889
Estimated answer: 26 buses
one horsepower is equal to how many foot pounds of work per second
Answers
hp= 550.00 foot pounds per second ft-lb/sec
A ball is kicked upward with an initial velocity of 56 feet per second. The ball's height h (in feet) can be expressed as a function of time t (in seconds) by the equation h = -16t2 + 56t. How much time does the ball take to return to the ground?
A) 1.75 seconds
B) 2.50 seconds
C) 2.75 seconds
D) 3.50 seconds
Answers
Answer:
D) 3.50 seconds
Step-by-step explanation:
You are interested in the positive value of t such that h=0. Substituting 0 for h, we get ...
0 = -16t^2 +56t
0 = -16t(t -3.5) . . . . . factored form
The product is zero when the factors are zero. Here, the factor of interest is ...
0 = t-3.5
3.5 = t . . . . . add 3.5 to both sides
The ball takes 3.5 seconds to return to the ground.
Final answer:
The ball takes D. 3.5 seconds to return to the ground.
Explanation:
To find the time it takes for the ball to return to the ground, we need to set the height function h equal to 0 and solve for t.
So, we have the equation -16t^2 + 56t = 0.
Factoring out t, we get t(-16t + 56) = 0.
Setting each factor equal to 0, we find that t = 0 or t = 3.5.
Since time cannot be negative, we disregard the t = 0 solution.
Therefore, the ball takes 3.5 seconds to return to the ground.
How many square feet of outdoor carpet will need for this hole
Answers
Answer:
[tex]Area=63 square foot[/tex]
Step-by-step explanation:
The dimensions of the outdoor carpet which is rectangle in shape are:
L=6 ft and w=12 ft.
The dimensions of the indoor carpet that is triangle in shape are:
b=3 ft and h=9 ft.
Now, area of the outdoor= Area of the green region-Area of triangular region
[tex]Area=l{\times}b-\frac{1}{2}{\times}b{\times}h[/tex]
[tex]Area=6(12)-\frac{1}{2}{\times}3{\times}6[/tex]
[tex]Area=72-9[/tex]
[tex]Area=63 square foot[/tex]
Thus, the area of the outdoor carpet is 63 square foot.