What is the measure of angle ABD in trapezoid ABCD?
A. 24°
B. 40°
C. 64°
D. 92°
Answers
116+24=140
180-140=40
∠ABD=40
B. 40
Answer:
The answer is B.40
Step-by-step explanation:
Related Questions
Solve 5v2+25=115 , where v is a real number
Answers
5v^2 = 115 - 25
5v^2 = 90
v^2 = 90/5
v^2 = 18...take the square root of both sides eliminating the ^2
v = (+-) sqrt 18
v = 4.24 or v = -4.24
Which is the line shown in the figure?
Answers
find the values of x and y
Answers
80+(4x-y)=180
4x-y=100
(4x-y) and (x+2y+10) also form a straight angle, but we know that 4x-y=100
100+x+2y+10=180
x+2y+110=180
x+2y=70
Now we have a system of equation
4x-y=100
x+2y=70
Solve the first equation for y
-y=-4x+100
y=4x-100
Substitute y
x+2(4x-100)=70
x+8x-200=70
9x=270
x=30
Now plug in the known x value
30+2y=70
2y=40
y=20
Final answer: x=30, y=20
Answer:
The values of [tex]x=30^{\circ}[/tex] and [tex]y=20^{\circ}[/tex].
Step-by-step explanation:
A Linear pair is a pair of adjacent angles formed when two lines intersect.
In the given figure, [tex]80^{\circ}[/tex] and [tex]4x-y[/tex] , [tex]4x-y[/tex] and [tex]x+2y+10^{\circ}[/tex] form a linear pair.
By linear pairs theorem, we have
[tex]80^{\circ}+4x-y=180^{\circ}[/tex]
[tex]4x-y+x+2y+10^{\circ}=180^{\circ}[/tex]
On solving we get,
[tex]4x-y=100^{\circ}[/tex] ....(1)
[tex]5x+y=170^{\circ}[/tex] .....(2)
Now, to solve equation (1) and (2) by simultaneously; we get [tex]x=30^{\circ}[/tex]
putting the value of x in equation 1 we get,
[tex]4x-y=100^{\circ}[/tex]
[tex]4\cdot 30^{\circ}-y=100^{\circ}[/tex]
[tex]120^{\circ}-y=100^{\circ}[/tex]
On simplify we have, [tex]y=20^{\circ}[/tex]
Therefore, the values of x and y are: [tex]30^{\circ}[/tex] and [tex]20^{\circ}[/tex]
Which improper fraction is equal to the mixed number 4 7/9 ?
Answers
4 7/9 = (9*4 + 7)/9 = 43/9. Then
4 7/9 = 43/9
The gcf of 25 and 12 is 1.number with 1 as the gcf are called relatively prime.find another pair of numbers whose gcf is 1
Answers
The GCF of 25 and 12 is 1, which means they are relatively prime. Another example of a pair of relatively prime numbers is 8 and 15, as their only common divisor is 1.
The greatest common factor (GCF) of 25 and 12 is 1. Numbers that have a GCF of 1 are called relatively prime. Another pair of numbers whose GCF is 1 could be 8 and 15. To verify, we look for any common divisors. The divisors of 8 are 1, 2, 4, and 8 while the divisors of 15 are 1, 3, 5, and 15. The only common divisor is 1, which confirms they are relatively prime.
Explain how you can use the inscribed angle theorem to justify its second corollary, that an angle inscribed in a semicircle is a right angle.
Answers
The inscribed angle theorem states that the inscribed angle (α) is half of the central angle (2α).
Inscribe a triangle in a semicircle, and you will see that you will have made up the central angle 180°. So the , by the inscribed angle theorem the inscribed angle is half of 180° which is 180°/2 = 90°.
So, always the inscribed angle in a semicircles is 90° which is what a right angle is.
Answer:
Sample Response: A circle measures 360 degrees, so a semicircle measures 180 degrees. By using the inscribed angle theorem, the measure of the inscribed angle would be half of 180 degrees, or 90 degrees, which is a right angle.
Step-by-step explanation:
THIS IS CORRECT I GOT IT RIGHT
Matt reasoned that he can write 9/1000 as 0.9. Is he correct?
Answers
You're looking at 9/1000, which means you move the (invisible) decimal point after 9 three places to the left (because you're dividing and there are 3 zeros after the 1 in 1000). This would give you 0.009.
when ms. morley was three times as old as jennie, they were seven years younger than they are now. now Ms morkie is twice as old as jennie. how old are they?
Show your work
Answers
108 centimeters 1.08 meters equation and exponent
Answers
To convert 108 centimeters to meters, divide by 100, since 100 centimeters equals 1 meter. Thus, 108 cm equals 1.08 meters, and the exponential form of 1.08 is 1.08 x 10⁰.
To convert 108 centimeters to meters, we use the fact that 100 centimeters is equal to 1 meter. If we have 108 centimeters and we want to express that in meters, we divide 108 by 100, since there are 100 centimeters in a meter.
Thus, 108 centimeters is equivalent to 1.08 meters. When we write 1.08 as an exponent, we express it as 1.08 imes 100, because any number to the power of 0 is 1, and thus the exponent does not change the value of 1.08.
Bill can mow his mother's lawn in 45 minutes. his brother jim can mow it in 65 minutes. how long will it take them to do it together, if each has his own lawnmower? (record your answer in minutes rounded to one decimal place.
Answers
1 hour and 50 minutes
whatt are some inportant rules to dividing and multipling positives and negitives.
Answers
3 × 2 = 6
m × n = mn
Positive × Negative = Negative
8 × -4 = -32
m × -n = -mn
Negative × Negative = Positive
-5 × -4 = 20
-m × -n = mn
(-x) × (-x) = x²
The same rules apply for division as multiplication.
if a number is a natural number then it is also a whole number
Answers
Often times, natural and whole numbers mean the same thing. The only difference is that, sometimes, zero is considered a whole number and not a natural number. However, even if zero isn't a natural number, all natural numbers are still considered whole numbers. A whole number is any number that doesn't have a remainder, fraction, or decimal, such as 242, 0, or 14, etc.
Your answer is true.
Hope this helped you out! :-)
P(n) models the fundraiser's profit (in dollars) if n tickets are sold. A negative profit means the expenses exceeded the income from tickets.
P(n) = 70n-1500
what is the price of a single ticket
Answers
profit = revenue - expenses
so the revenue, what is made from selling tickets.....70n....where n represents the number of tickets....the 70 represents the cost of each ticket.
the 1500 is the expenses. So for them to make a profit, they would have to sell more then $ 1500 worth of tickets.
the price of a single ticket is $ 70 <==
The price of a single ticket is given by the expression [tex]\( \frac{70n - 1500}{n} \),[/tex] where n represents the number of tickets sold.
To find the price of a single ticket, we need to understand that the profit P(n) represents the income from ticket sales.
In the given equation [tex]\( P(n) = 70n - 1500 \)[/tex], n represents the number of tickets sold, and P(n) represents the profit from selling n tickets.
If we divide the total profit P(n) by the number of tickets n, we can find the price of a single ticket.
So, the price of a single ticket is given by:
[tex]\[ \text{Price of a single ticket} = \frac{P(n)}{n} \][/tex]
Substituting [tex]\( P(n) = 70n - 1500 \)[/tex], we get:
[tex]\[ \text{Price of a single ticket} = \frac{70n - 1500}{n} \][/tex]
Now, the price of a single ticket is dependent on the number of tickets sold, so we cannot determine a specific price without knowing the value of n. However, we can say that as the number of tickets sold increases, the price per ticket decreases due to the fixed costs (expressed by the constant term -1500) being spread out over a larger number of tickets.
Evaluate each expression. (1 + 3 + 2) / -2
Answers
1 + 3 + 2 = 6
So the new equation is 6 / -2
Now 6 / -2 is equal to -3.
So your answer is -3.
__________ will produce an irrational answer when added to , because __________.
Answers
Through 3,1 slope -1
Answers
y-1=-x+3
y=-x+4
what operation should be performed SECOND to solve this problem?
The Johnson family can fly from Washington DC to to London for $18 per mile per person the distance is 3,663 miles. how much will the trip cost if four people go?
A subtraction
B multiplication
C division
D addition
Answers
B multiplication
hope it helps
After working 80 hours at his job, Tyler earned a total of $1100. How much does Tyler earn per hour?
Answers
1100/80=13.75
there ya have it Tyler makes $13.75 per hour
Find the value of x for which p is parallel to q, if m∠1 = (9x) and m∠3 = 117 .The diagram is not to scale.
a. 108
b. 13
c. 117
d. 126
Answers
m< 1 = m<3 ( corresponding angles) so
9x = 117
x = 117 / 9 = 13
x = 13 Answer
FCD=x+41, BCF=x+78, BCD=95. Find x
Answers
To find x in a geometry problem involving angle measures BCD, BCF, and FCD.
The given information:
- B = 77.08795270
- C₁ = -7.062084 257
- D₁ = -0.6291204730 E₁ -14.17590540 F₁-62.91204730
Step-by-step solution:
Express BCD as a combination of the other angles: BCD = BCF + FCD. Substitute the given values: 95 = (x + 78) + (x + 41).
Simplify the equation: 95 = 2x + 119.
Solve for x: 2x = 95 - 119 = -24, x = -12.
Membership at the Healthy You Gym is a $40 initial fee and $5 a visit. If Snjaya's billl was $105, how many times did he visited the gym?
Answers
-40 -40
5x=65
5x÷5=x
65÷5=13
×=13
13 visits
a baker orders 162 eggs. each carton contains 18 eggs. which equation can you use to find the number x of cartons? explain your reasoning and sold the equation.
Answers
So the baker orders 162 eggs and each carton has 18 eggs
so 162 ÷ 18 = 9 cartons
And if you want to check if its correct
9 x 18 = 162 eggs
To solve for the number of cartons the baker needs, divide the total number of eggs by the eggs in each carton. This gives the equation x = 162 ÷ 18. Solve the equation to find that the baker needs 9 cartons.
Explanation:The subject of this question is mathematics, specifically division. When a baker orders 162 eggs and each carton contains 18 eggs, to find out how many cartons (represented by x) the baker needs, we would need to divide the total number of eggs by the number of eggs in each carton. This gives us the equation:
x = 162 ÷ 18
Solving this equation, we find that x equals 9. Therefore, the baker needs to order 9 cartons of eggs.
Learn more about Division here:https://brainly.com/question/33969335
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Which equation applies the associative property of multiplication? −65−(53−14)=(−65−53)−14 (−12⋅47)+(−12⋅23)=−12⋅(47+23) 89⋅74⋅(−58)=89⋅(−58)⋅74 (−94⋅32)⋅(63⋅57)=−94⋅(32⋅63)⋅57
Answers
Hope i helped!
Answer:
The ansewer is D. I just took the test. Happy Holidays!
Step-by-step explanation:
Leslie needs to roll an 8 with 2 dice to win a game. how many possible outcomes are there for her to win?
Answers
2+6
3+5
3 if im not mistaken
Answer: 5
Step-by-step explanation:
Given : Leslie needs to roll an 8 with 2 dice to win a game.
Number of outcomes , when we roll a die {1 ,2,3,4,5,6} =6
When we roll two dice the total number of outcomes are:
[tex]6\times6=36[/tex]
The possible outcomes when we roll two dice :-
(1, 1) (1, 2) (1, 3) (1, 4) (1, 5) (1, 6)
(2, 1) (2, 2) (2, 3) (2, 4) (2, 5) (2, 6)
(3, 1) (3, 2) (3, 3) (3, 4) (3, 5) (3, 6)
(4, 1) (4, 2) (4, 3) (4, 4) (4, 5) (4, 6)
(5, 1) (5, 2) (5, 3) (5, 4) (5, 5) (5, 6)
(6, 1) (6, 2) (6, 3) (6, 4) (6, 5) (6, 6)
The favorable outcomes to get sum as 8 :-
{(2,6), (6,2), (3,5), (5,3), (4,4)}
Hence, the number of possible outcomes are there for her to win = 5
Express 9 - y2 as the product of two binomial factors
Answers
(3-y)(3+y)
[tex]3^2-y^2[/tex]
[tex](3+y)(3-y) [/tex]
The shortest known adult woman is about 24 inches tall and tallest known adult woman is about 92 inches tall. Write an absolute value equation that represents the minimum and maximum heights. Use x to represent the heights.
Answers
Answer:
An absolute value equation that represents the minimum and maximum heights 24 ≤ x ≤ 92.
Step-by-step explanation:
First we have to know about the middle number. The middle number between 24 and 92 is :
[tex]\frac {(24+92)}{2}= 58.[/tex]
Now positive difference is: 58-24=34 and 92-58=34.
Thus the height of a woman x, can vary at most 34, from 58. That is the height of a woman can be 34 ft less or more than 58.
In absolute value notation this is expressed as:
x-58≤34
what this means is that:
x-58≤34 or 58-x≤34
Further solving the equation gives: |x-58|≤34 ;
24≤x≤92
Choose true or false. to convert 5 square meters to square yards, multiply 5 by 1.196.
a. True
b. False
Answers
What is 3/2 on a number line
Answers
The image of number 3/2 is shown in number line is shown in figure.
We have to given that,
Number on a number line,
⇒ 3/2
Now, We can simplify as,
⇒ 3/2
⇒ 1.5
Therefore, A number 1.5 shown in figure.
So, The image of number 3/2 is shown in number line is shown in figure.
Learn more about Number system visit:
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All birds have wings. A bat has wings, so it is a bird. What type of reasoning is this? inductive
deductive
Answers
PLEASE HELP ME!!!!!!!!!! 57-4t >(their is an egual sign under the less then sign)13
A. t<=-15
B. t<=15
C. t<=11
D. t=>-11
Answers
-4t > = 13 - 57
-4t > = - 44 ...divide both sides by -4, and change the inequality sign
t < = -44 / -4
t < = 11
u solve inequalities much like u do equations except for one very important rule. In an inequality, if u divide/multiply by a negative number, u have to change the inequality sign.
Solve for t
-57 both sides
-4t>/-44
÷-4 both sides
Flip sign since you are dividing by a negative
T < / 11
Answer: t < / 11
Check your work: 10 is less than 11 plug in 10
57-4 (10)>/13
57-40>/13
17>/13
The answer is correct