Answer:
ABD = CDB
AB is parallel to DC
Step-by-step explanation:
angle a and c are right angles so they are equal and angle b and d are equal because they have a line that touch both letters
AB and DC are parellel because they are the same looking lines just on oppisite sides
As per the ASA congruence theorem, the triangles ΔABD and ΔCDB are congruent.
What are alternate interior angles?When two parallel lines are intersected by a transversal, alternate external angles are created.
Given that, m∠A = m∠C = 90° and AB║DC.
In triangles ΔABD and ΔCDB,
m∠A = m∠C = 90°
m∠ABD = m∠BDC (Alternate interior angles)
BD = DB (Common side)
Hence, as per the ASA congruence theorem, the triangles ΔABD and ΔCDB are congruent.
Learn more about the alternate interior angles:
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Craig has made 60% of 80 free throw attempts this season. How many free throws has he made
Answer:
Step-by-step explanation:
80*60%= 48 free throws were made
Answer: 48
Step-by-step explanation:
80x 0.01=0.8
0.8x 60=48
How many of you guys think Into The Night by Bath & Body Works is really masculine?
Answer:
I think it smells like a grandma but a strong one but it also smells good a little
Step-by-step explanation:
What is 0.74 + (-3/5)
Answer:
It equals 0.14
Step-by-step explanation:
answer this please
Answer5 times 6=30 divide bc its a triangle the answer is 15
Step-by-step explanation:
Please help me with these 5 questions
Answer:
4. 85
5. 23.9
The rest are correct
HELP I HAVE TEN MINUTES!!!!!
Answer:
B
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
PLEASE ANSWER!! TIME LIMITED!! Use the gfc and the distributive property to find the expression that is equivalent to 36 + 48
A. 6(6+8)
B. 4(9+12)
C. 12(3+4)
D. 2(18+24)
Write the inequality for each sentence
The difference of a number and six is no less than 15
25 plus a number is at least 13
g decreased by 25 is at most five
Answer:
a) The difference of a number and six is no less than 15
x - 6 ≥ 15
b) 25 plus a number is at least 13
25 + x ≥ 13
c) g decreased by 25 is at most five
g - 25 ≤ 5
Step-by-step explanation:
a) The difference of a number and six is no less than 15
Let the number be represented by x
We difference is involved in a mathematics question, it requires the application of Subtraction operation, hence:
x - 6 ≥ 15
b) 25 plus a number is at least 13
Let the unknown number be represented by x
When at least is used in Mathematics, is means greater than or equal to a particular value,
Hence,
25 + x ≥ 13
c) g decreased by 25 is at most five
At most means less than or equal to a particular value, hence:
g - 25 ≤ 5
(17) 60% of what is 24?
Answer:
Step-by-step explanation:
24*60%= 14.4
Answer:
14.4
Step-by-step explanation
3/5 x 24
3/5 x 24/1
3/5 x 24/1=3x24
5 x 1
= 3 x 24
5 x 1
72
5 x 1
72/5
what you do after that is you divide 72 and 5
72/5 = 14.4
so you answer is 14.4
hope this is right
The cube of a negative number divided by the square of 5 times a number
Answer:
finding a cube of a negative number will always be negative , just as the cube of a positive number will always be positive
Step-by-step explanation:
find the slope of the line segment that contains the two points. (15, 16) and (-19, -6)
A. 11/17
B. -2/5
C. None of the answers are correct
D. 7/15
E. -1/3
Answer:
the answer is letter A.
Step-by-step explanation:
m=y²-y¹/x²-x¹
m=(-6)-16/(-19)-15
m=-22/-34
m=11/17
I don’t understand this please help
Answer:
2
Step-by-step explanation:
The answer is "The graph is incorrect. He should have shaded ro the right"
Solve the system using substitution. 5x-y=73 and 2y=x
Answer:
Point form:( [tex]\frac{146}{9} \\\\[/tex], [tex]\frac{73}{9}[/tex])
Equation form: x= [tex]\frac{146}{9}[/tex], y= [tex]\frac{73}{9}[/tex]
Step-by-step explanation:
Plz mark brainliest.
Hurry pleaseeee taking a test Which expression is equivalent to 30°? Inverse of cosine (StartFraction StartRoot 3 EndRoot Over 2 EndFraction) Inverse of sine (StartFraction StartRoot 3 EndRoot Over 2 EndFraction) Sine (StartFraction StartRoot 3 EndRoot Over 2 EndFraction) Cosine (StartFraction StartRoot 3 EndRoot Over 2 EndFraction)
Answer:
Inverse of cosine (StartFraction StartRoot 3 EndRoot Over 2 EndFraction)
Step-by-step explanation:
According to trigonometry identity;
Cos 30° = √3/2
To get the expression equivalent to 30°, we will take the inverse of both sides as shown;
Cos^-1(cos 30°) = cos^-1(√3/2)
The arccos will cancel out the cos on the left hand side of the equation to have;
30° = cos^-1(√3/2)
Hence 30° is equivalent to inverse of cosine of √3/2 or Inverse of cosine (StartFraction StartRoot 3 EndRoot Over 2 EndFraction)
Answer:
the Answer is A
Step-by-step explanation:
Edge 2020
Use the slope-intercept form to graph the equation y=3/7x+3
Answer:
here you go
Step-by-step explanation:
help pls i’ll give out extra points
Answer:
The answer is similar, AA similar.
Step-by-step explanation:
The triangles are obviously similar; but we only know that because of the two identical angles. (AA)
Please mark Brainliest!
Select the correct answer from each drop-down menu.
(both drop down menues are (1 , 2 )
Answer:
the answer to graph one is 1 and the second one answer is 2
Step-by-step explanation:
the other guy made it a hassle for no reason
The graph shown in figure 1 is a function, and the graph shown in figure 2 is not a function
What are graphs?Graphs are the visual way of representing functions and equations
For a graph to represent a function, then the graph of the function must pass the vertical line test
Graph 1 will pass the vertical line test, while graph 2 will not
Hence, the graph shown in figure 1 is a function, and the graph shown in figure 2 is not a function
Read more about functions and relations at:
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after eating at a restaurant the bill for your table is $62.50. There is a 6% sales tax and you want to leave a tip for 18% based on the pre-tax amount. How much money do you need to cover your final bill?
Answer:
Step-by-step explanation:
Your bill is $62.50
$62.50 * .06 = $3.75 (this is your sales tax added)
So your total is up to: $66.25
Adding the tip the same way using $66.25 *.18 = $11.93
Tip would be $11.93
Total coming to: $78.17
hope this helps
Answer:
$77.50
Step-by-step explanation:
Tax:
62.50x0.06= 3.75
3.75+62.50= 66.25
Tip:
62.50x0.18= 11.25
Answer:
66.25+11.25= 77.50
five hundred fifty five divided in five
Answer:
Well I'm not sure if its a joke but here is the answer anyways LOL Its 111
Step-by-step explanation:
Answer:
111
Step-by-step explanation:
If you think about it, 5 ÷ 5 = 1
So all the digits are 1
111
(Plus I just used a calculator)
Hope I helped :)
20) Find the measure of each angle
T
4
X
11
B)
4.
951
A)
36
103
C)
36
171
D)
4
Answer:
Step-by-step explanation:
2 π + ( π - [tex]\frac{\pi }{4}[/tex] ) = [tex]\frac{8\pi +4\pi -\pi }{4}[/tex] = [tex]\frac{11\pi }{4}[/tex]
Luis bought stock at $63.30. The next day, the price increased $12.80. This new price changed by −6 3/4% the following day. What was the final stock price, rounded to the nearest cent? Is your answer reasonable? Complete the explanation.
solve for w and simplify this fraction 3/2w=-20
Answer:
4 2/3
Step-by-step explanation:
Answer:
w = -1.3 (.3 repeating)
Step-by-step explanation:
3/2w = -20
3/2w time 2/3 (flip to get rid of fraction)
- 20 time 2/3 (what you do to one side, you must do to the other side)
w = 1.3 (.3 repeating)
1.3 as a fraction is 4/3
Plz help with the math question
Answer:
the answer is 20
the sum of twice a number and three is 21
Answer:
9
Step-by-step explanation:
9+9+18
18+3=21
Which equation is represented by the graph below?
Answer: 2/3 x +6
Step-by-step explanation:
slope is 2/3 and y intercept is 6
Which of the following describe 4/8
Answer:
4/8 is one half.
Step-by-step explanation:
4/8 -- 4 goes into both the numerator and denominator -- 4 goes into 4 one time and 4 goes into 8 two times.
Therefore, you have 1/2.
Answer:
4/8=.5 or 1/2
Step-by-step explanation:
4/8 can be reduced to 1/2
Tessa invests $5400
$
5400
in a new savings account which earns 5.2%
5.2
%
annual interest, compounded monthly. What will be the value of her investment after 8
8
years? Round to the nearest cent.
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How can ΔABC be mapped to ΔXYZ?
First, translate vertex A to vertex
.
Next,
ΔABC to align the sides and angles.
Answer:
X
Rotate
Step-by-step explanation:
correct on edge 2020
Answer:
a. x
c. rotate
Step-by-step explanation:
edge2021 :)
Hello, please, I need the answers!! Each year a school booster club holds a dance to raise funds. In the past, the profit of the club makes after paying for the bank and other costs has been modeled by the function p(t) = -16t^2 - 800t - 4000 where t represents the ticket price in dollars. a. What ticket price gives the maximum profit? b. What is the maximum profit? c. What ticket prices would generate a profit of $5000?
Answer:
Step-by-step explanation:
Given the profit a club makes after paying for the bank and other costs modeled by the function
p(t) = -16t^2 - 800t - 4000
t is the ticket price
The maximum profit occurs when dp/dx = 0.
dp/dx = -32t-800
since dp/dx
0 = -32t-800
32t = -800
t = -800/32
t = - 25
Hence ticket price gives the maximum profit is $-25
b) to get the maximum profit, substitute t = -25 into the modelled function
p(t) = -16t^2 - 800t - 4000
p(-25) = -16(-25)² - 800(-25)- 4000
p(-25) = -10000+20000-4000
p(-25) = 6000
Hence maximum profit is $6000
c) To get the ticket prices would generate a profit of $5000, we will substitute p(t) = 5000 and find t
p(t) = -16t^2 - 800t - 4000
5000 = -16t^2 - 800t - 4000
-16t^2 - 800t - 4000 -5000 = 0
16t^2 + 800t + 9000 = 0
Answer:
Step-by-step explanation:
Given the profit a club makes after paying for the bank and other costs modeled by the function
p(t) = -16t^2 - 800t - 4000
t is the ticket price
The maximum profit occurs when dp/dx = 0.
dp/dx = -32t-800
since dp/dx
0 = -32t-800
32t = -800
t = -800/32
t = - 25
Hence ticket price gives the maximum profit is $-25
b) to get the maximum profit, substitute t = -25 into the modelled function
p(t) = -16t^2 - 800t - 4000
p(-25) = -16(-25)² - 800(-25)- 4000
p(-25) = -10000+20000-4000
p(-25) = 6000
Hence maximum profit is $6000
c) To get the ticket prices would generate a profit of $5000, we will substitute p(t) = 5000 and find t
p(t) = -16t^2 - 800t - 4000
5000 = -16t^2 - 800t - 4000
-16t^2 - 800t - 4000 -5000 = 0
t^2 + 50t + 562.5= 0
Factorize
-50±√2500-4(562.5)/2
t = -50±√2500-2250)/2
t = -50±15.81/2
t = -65.81/2 and -34.19/2
t = -32.91 and -17.09
The next model of a sports car will cost 14.1% less than the current model. The current model costs $55,000 . How much will the price decrease in dollars? What will be the price of the next model?
Answer:
$3900.71 is the amount of money subtracted from the next model
51099.29 is the cost of the second model
Step-by-step explanation: