Answers
Answer:
ASA
C is correct
Step-by-step explanation:
We are given table of congruence of triangle.
1. Given: DC || AB and AD|| BC
2. If two lines are parallel then a tranversal line makes eight angles.
∠2=∠3 and ∠1=∠4 ( Alternate interior angle )
3 . If one side is common in two figure then reflexive property use.
CA = CA (Reflexive )
If we take two triangles ΔDAC and ΔCAB are congruent by above property.
ΔDAC ≅ ΔCAB by two angle and one side.
The property of congruence is ASA
4. ΔDAC ≅ ΔCAB by ASA
Hence, The 4th reason is ASA
Related Questions
Diane left a 15% tip for a meal that cost $44.
What was the amount of the tip?
Answers
$44 + 6.6
= 50.6
and the amount of the tip is $6.6
Answer:
6.60
Step-by-step explanation:
How to find the x and y intercepts when given two points and no slope?
Answers
1) Identify the slope, m. This can be done by calculating the slope between two known points of the line using the slope formula.
2) Find the y-intercept. This can be done by substituting the slope and the coordinates of a point (x, y) on the line in the slope-intercept formula and then solve for b.
Rewrite the following equation in slope-intercept form. 10x - 5y= -17
Answers
10x - 5y = -17
move 10x to the other side.
- 5y = -10x - 17
For each ordered pair, determine whether it is a solution to y=-4x-6
Answers
The graph shows the change in a company’s dividends in durning certain year. Which function models this data?
Answers
When x=0, we want y to equal 1.
What is 3⁰? Any number to the power of zero is 1.
Therefore, the function with a y-intercept at 1 is 3ˣ.
Best answer is C) P(X) = 3ˣ
The sum of two numbers is 56. Their difference is 18.
Answers
x+y=56
x-y=18
2x=74
x=37
y=19
Hope this helped!
The numbers are 37 and 19
From the question,
Let the numbers be x and y
From the first statement
The sum of two numbers is 56.
That is,
x + y = 56 --------- (1)
From the second statement
Their difference is 18
That is,
x - y = 18 ----------- (2)
Add equations (1) and (2)
x + y + x - y = 56 + 18
2x = 74
∴ x = 74 ÷ 2
x = 37
Substitute the value of x into equation (1) to determine the value of y
x + y = 56
37 + y = 56
y = 56 - 37
y = 19
∴ x = 37 and y = 19
Hence, the numbers are 37 and 19.
Learn more here: https://brainly.com/question/21684141
Translate the following word phrase into an algebraic expression.
" 3 multiplied by the sum pf a number and 5"
A. 3(x+5)
B. 3x+5
C. x+(3)(5)
D. 5x+3
Answers
How has the Customer Service Institute of America helped the banking industry?
A by creating a centralized call center to handle all banking complaints
B by setting standards that help banks measure their level of customer service
C by creating customer service surveys for banks
D by implementing a program for bank executives
Answers
Answer:
by setting standards that help banks measure their level of customer service
Step-by-step explanation:
Assume that we want to find the probability that when five consumers are randomly selected, exactly two of them are comfortable with delivery by drones. Also assume that 38% of consumers are comfortable with the drones (based on a survey). Identify the values of n, x, p, and q. The value of n is __. (Type an integer or a decimal. Do not round.) The value of x is __. (Type an integer or a decimal. Do not round.) The value of p is __. (Type an integer or a decimal. Do not round.) The value of q is ___ . (Type an integer or a decimal. Do not round.)
Answers
In the given problem, n (the number of trials) is 5, x (the amount of 'successes' we're seeking) is 2, p (the probability of success) is 0.38, and q (the probability of failure) is 0.62.
Explanation:In the given problem, we are conducting a binomial experiment where five consumers are randomly selected and we are interested in the number who are comfortable with drone delivery. So, the total number of trials, n, will be equal to the number of consumers selected, which is 5.
The value to be observed, x, is exactly 2, because we want to find out the probability of exactly two of them are comfortable with delivery by drones.
The probability of success, p, is the proportion of consumers that are comfortable with delivery by drones, so p = 0.38 (or 38%).
The probability of failure, q, is the proportion of consumers that are not comfortable with delivery by drones, so q = 1 - p = 1 - 0.38 = 0.62.
Learn more about Binomial Distribution here:https://brainly.com/question/39749902
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You begin solving the equation 4−5x=594-5x=59 by subtracting 44 from both sides. Which is the best choice for Step 22?
Answers
Subtract 4 from both sides:
-5x = 55
Since x is being multiplied by -5, the next step is to divide both sides by -5.
Express the area of a rectangle as a function of the width w if the width of the rectangle is twice its length
Answers
One positive integer is 3 less than twice another. the sum of their squares is 233. find the integers.
Answers
x-3= 2y
x=2y+3______(1)
x²+y²= 233_____(2)
sub eqn (1) into (2)
{2y+3}²+y²=233
4y² + 12y +9 +y²=233
5y²+12y+9-233=0
5y²+12y-224=0
y= -8 or 5.6
recall they are positive integers so y=5.6
now sub y=5.6 into eqn (1)
x=2(5.6)+3 = 11.2+3=14.2
the two integers are 14.2 and 5.6
A long distance phone company charges $1.01 for the first 25 minutes of a call, then $0.09 for each additional minute. A call cost $9.56 how long did it last?
Answers
1.01+.09x=9.56 Solve for x. Start buy subtracting 1.01 from both sides.
.09x=8.55 Divide both sides by .09
x=95 The call was 95 additional minutes. So...
25+95=120 120 minutes in total. Check your answer by substituting x...
1.01+.09(95)=9.56
1.01+8.55=9.56
9.56=9.56
I hope this helps!
Final answer:
Subtracting the initial charge from the total cost and then dividing the remainder by the cost per additional minute, we find that the call lasted for 120 minutes.
Explanation:
The student is asking how long a phone call lasted based on the cost of the call with a given rate structure. We know that the first 25 minutes cost $1.01 and each additional minute costs $0.09. The total cost of the call was $9.56. To determine the duration of the call, we need to calculate the cost of the additional minutes beyond the first 25, and then find out how many of those minutes were used.
Subtract the initial charge from the total cost: $9.56 - $1.01 = $8.55.
Divide the remaining cost by the cost per additional minute: $8.55 / $0.09 = 95 minutes.
Add the initial 25 minutes to the additional minutes: 25 + 95 = 120 minutes.
Therefore, the call lasted for 120 minutes.
What is the domain of the function f(x)=x+3
Answers
Please help, I'm stuck on this answer.
True or false? Explain your answer.
The inequality −2(x + 10) ≥ 75 says the same thing as −2x − 20 ≥ 75. I can multiply by -2 on the left side without reversing the inequality symbol.
Answers
Multiply the outer -2 with the inner x to get -2 times x = -2x
Multiply the outer -2 with the inner term 10 to get -2 times 10 = -20
So overall, -2(x+10) = -2x-20
--------------------------------------------
So that's how we're able to go from this [tex]-2(x+10) \ge 75[/tex] to this [tex]-2x-20 \ge 75[/tex]
The only thing that changes is the left side. The inequality sign will not flip. It only flips if we multiply both sides by a negative number.
Answer:True
Step-by-step explanation:
Yes, you don't have to reverse the inequality symbol since the variables are not from the other side (right).
Multiply 436.2 × 0.74 = ____
Answers
Changes made to your input should not affect the solution:
(1): "0.74" was replaced by "(74/100)". 2 more similar replacement(s)
Step 1: Simplify 37/50
Equation at the end of step 1:
4362 / 10 * 37 / 50
Step 2:
Equation at the end of step 2:
2181 / 5 * 37 / 50
Step 3:
80697 / 250 = 322.78800
Final Answer: 322.78800
What is the value of the function at x=−3?
y=−3
y = 0
y = 4
y = 3
Answers
You're answer is y = 4.
Hope This Helps You!
Good Luck :)
- Hannah ❤
Answer:
the value of the function at x=-3 is y=4
Step-by-step explanation:
We are given with the graph of the function
In the given graph the x value is the input and f(x) is the output
x is the input value and f(x) is the output value y
given the input value x=-3
To find the function value when x=-3 we need to find out y from the graph when x=-3
From the graph the y value is 4 when x=-3
So the value of the function at x=-3 is y=4
In the year 2016, the estimated population of Canadian geese in a city was 750. The Canadian geese population is expected to grow at a rate of 12% each year. What is the Canadian geese population in 2022? Round the answer to the nearest whole number.
Answers
Keywords:
population, Canadian geese, growth rate
For this case, we must find the population of Canadian geese for the year 2022, taking into account that in 2016 the estimated population of geese was 750 and as additional data, the population of geese has a growth rate of 12% each year.
Then, we started finding the Canadian geese population for 2017, for this we make a rule of three:
750 -----------> 100%
x --------------> 12%
DOnde "x" represents the number of geese that is added to the base population of 2016.
[tex]x = \frac {12 * 750} {100}\\x = 90[/tex]
Thus, the geese population for 2017 is: [tex]750 + 90 = 840[/tex]
We find the population of Canadian geese for the year 2018, following the previous steps since the annual growth rate is constant:
840 -----------> 100%
x --------------> 12%
where "x" represents the number of geese that is added to the base population of the year 2017.
[tex]x = \frac {12 * 840} {100}\\x = 100.8[/tex]
Thus, the geese population for 2018 is: [tex]840 + 100.8 = 940.8[/tex]
We found the population of Canadian geese for the year 2019, following the previous steps since the annual growth rate is constant:
940.8 -----------> 100%
x --------------> 12%
Where "x" represents the number of geese that is added to the base population of the year 2018.
[tex]x = \frac {12 * 940.8} {100}\\x = 112.896[/tex]
Thus, the geese population for 2019 is: [tex]940.8 + 112.896 = 1053.696[/tex]
We find the population of Canadian geese for the year 2020, following the previous steps since the annual growth rate is constant:
1053.696 -----------> 100%
x --------------> 12%
Where "x" represents the number of geese that adds to the base population of the year 2019.
[tex]x = \frac {12 * 1053.696} {100}\\x = 126.44[/tex]
Thus, the geese population for 2020 is: [tex]1053.696 + 126.44 = 1180.12[/tex]
We found the population of Canadian geese for the year 2021, following the previous steps since the annual growth rate is constant:
1180.12 -----------> 100%
x --------------> 12%
Where "x" represents the number of geese that is added to the base population of the year 2020.
[tex]x = \frac {12 * 1180.12} {100}\\x = 141.6[/tex]
Thus, the population of geese for 2021 is:[tex]1180.12 + 141.6 = 1321.7[/tex]
We found the population of Canadian geese for the year 2022, following the previous steps since the annual growth rate is constant:
1321.7 -----------> 100%
x --------------> 12%
[tex]x = \frac {12 * 1321.7} {100}\\x = 158.6[/tex]
Where "x" represents the number of geese that adds to the base population of the year 2021.
Thus, the population of geese for 2022 is: [tex]1321.7 + 158.6= 1480.3[/tex]
ANswer:
The population of Canadian geese by 2022 will be approximately 1480 geese
if angle m acd = 100 and angle m b =60, find angle m a
Answers
m<B = 60
so
m<ACB = 180 - m<ACD
m<ACB = 180 - 100
m<ACB = 80
m<A = 180 - (60 + 80)
m<A = 180 - 140
m<A = 40
Answer:
The measure of ∠BAC is 40° .
Step-by-step explanation:
As given the figure in the question be as follow .
∠ACD = 100° , ∠B = 60°
Noe by using the the exterior angle is equal to the sum of the interior angle .
Thus
∠ACD = ∠CBA + ∠BAC
Put all the values in the above
100° = 60° + ∠BAC
∠BAC = 100° - 60°
= 40°
Therefore the measure of ∠BAC is 40° .
A ____ is a subset of a given set of elements
Answers
Answer:
The correct answer is a COMBINATION
A combination is a subset of given elements.
Step-by-step explanation:
PLEASE HELP QUICK I'M OFFERING BRAINLIEST ANSWER & 10PTS
Answers
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Angle HDC and angle HDB combine to form a right angle.
The two angles add up to 90 degrees.
So,
(angle HDC) + (angle HDB) = 90
(9x+4) + (32) = 90
9x+(4+32) = 90
9x+36 = 90
9x+36-36 = 90-36 ... subtract 36 from both sides
9x = 54
9x/9 = 54/9 ... divide both sides by 9
x = 6
Which set of ordered pairs represents a function?
{(0, 0), (2, 3), (1, -4), (2, -2)}
{(5, 6), (2, 6), (-3, 4), (-1, 4)}
{(3, -2), (-4, -1), (0, 3), (0, 5)}
{(-5, 1), (-4, 2), (-5, 3), (-4, 4)}
Answers
Name the property of real numbers illustrated by the equation.
-3(x+4)=-3x-12
A: Distributive property
B: Associative property of addition
C: Associative property of multiplication
D: Commutative property of addition
Answers
We're multiplying the outer -3 with the inner x to get -3x
Also, multiply the outer -3 with the inner +4 to get -12
So that's why -3(x+4) = -3x-12
El área de un triángulo es igual a la mitad del producto de la longitud de la base por la longitud de la altura.
La base de un triángulo mide 23 cm y su área es 27 cm2.
Answers
In one study, the correlation coefficient of measured iq at ages 8 and 10 was .88. this shows a _____ correlation.
Answers
_________________________________________________
How to factor with a number in front of the first variable?
Answers
how do you divide fractions
Answers
Dividing fractions is basically the same thing as multiplying fractions but by the reciprocal.
For example, [tex]\frac{3}{8}[/tex] ÷ [tex]\frac{1}{4}[/tex] you would change this so in the second fraction that is being divided, the numerator and the denominator would switch places. Instead, it would be...
[tex]\frac{3}{8}[/tex] x [tex]\frac{4}{1}[/tex]
Logan's only debt obligations are a car loan payment of $512 and a credit card payment of $70 every month. What is the minimum amount of money he must take home every month in order to avoid being in danger of credit overload?
Answers
20% for paying up debts, 10 % for savings, and 70% for everything else.
So, assuming that x is the minimum amount of money, we know that
$ 512 + $70 = 20% . X
$ 582 = 0.2 . x
$ 582 / 0.2 = x
x = $ 2910
Answer:
$ 2910
Step-by-step explanation:
Order the numbers 0.2, 1/5, 0.02, 0.022 from least to greatest.
Answers
Find the measure of angle x in the figure.
Angle x measures?
Answers
18(n - 2)
where "n" is how many sides are there in the polygon, now, notice, this polygon has 7 sides, so is a heptagon, so the sum of its interior angles will be 18(7 - 2) or 900.
now, subtract all other angles from 900, and what's leftover is "x".
Answer:
Measure of angle x is:
119°
Step-by-step explanation:
The sum of all interior angles in a polygon having n sides is:
180°(n - 2)
Now, this polygon has 7 sides.
So the sum of its interior angles will be= 180°(7 - 2)
= 900°
i.e. 129°+129°+123°+122°+x+141°+137°=900°
or 781°+x=900°
or x=900°-781°
or x=119°
Hence, Measure of angle x is:
119°