Answer:
The additional information that needed is m∠ABD = m∠CDB ⇒ C
Step-by-step explanation:
In the given figure
Triangles ADB and CBD are congruent by ASA under these conditions
m∠ADB = m∠CBDDB = BD ⇒ the side joining the congruent anglesm∠ABD = m∠CDBLet us see the given to find the correct answer
∵ ∠ADB and ∠CBD have the same mark
∴ m∠ADB = m∠CBD ⇒ (1) given
∵ Side DB is a common side in the two triangles
∴ DB = BD ⇒ (2) given
∵ ∠ABD and ∠CDB are the angles at the end of BD
∴ m∠ABD must equal m∠CDB ⇒ (3) to prove the congruency using ASA
∴ The additional information that needed is m∠ABD = m∠CDB
Answer:
To prove that two triangles with three congruent, corresponding angles are congruent, you would need to have at least one set of corresponding sides that are also congruent. You could then use ASA or AAS congruence theorems or rigid transformations to prove congruence.
Step-by-step explanation:
Please answer this correctly without making mistakes
Answer:
50%
Step-by-step explanation:
Answer:
50 present
Step-by-step explanation:
Expand the expression
3(x-6)
Answer:
3x-3(6) = 3x-18
Step-by-step explanation:
What is the 8th term in the pattern 1,2,5,10,17
Answer:
50
Step-by-step explanation:
Solve 2(x+5) using distributive properties simplify the following expression
Answer:
Although the image has two terms inside the parenthesis rather than three terms in the question, we can apply it to this question.
The
2
multiplies to everything inside the parenthesis:
(
2
⋅
x
)
+
(
2
⋅
−
5
)
+
(
2
⋅
2
)
=
6
Now simplify by multiplying:
2
x
−
10
+
4
=
6
Combine
−
10
+
4
:
2
x
−
6
=
6
Add
6
to both sides:
2
x
−
6
+
6
=
6
+
6
2
x
=
12
Divide both sides by
2
2
x
2
=
12
2
x
=
6
Hope this helps!
Answer:
[tex]\huge\boxed{\sf{2x+10}}[/tex]
Step-by-step explanation:
Hello.
Please remember the formula for the Distributive Property:
a(b+c)=ab+ac, where a, b, and c can be variables (letters) or constants (numbers)
Now that we know the formula for the Distributive Property, let's distribute:
2(x+5)
2x+10
I hope it helps.
Have a great day.
[tex]\boxed{imperturbability}[/tex]
³√3000- ³√375 simplify
Answer:
30√30 - 15√15
Step-by-step explanation:
I'm not 100% sure
Answer:
We can write³√3000- ³√375 as [tex]\sqrt[3]{5*5*5*2*11}-\sqrt[3]{5*5*5*3}[/tex]
[tex]\sqrt[3]{5*5*5*2*11}-\sqrt[3]{5*5*5*3}[/tex]= [tex]5\sqrt[3]{22} -5\sqrt[3]{3}[/tex]
[tex]5\sqrt[3]{22} -5\sqrt[3]{3}[/tex] is the simplest form of ³√3000- ³√375
What is 74 divided by 12?plz help I need this assignment done before 3:30 and it’s 2 hours until time
Answer:
6.16.
Step-by-step explanation:
hope this helps.
Answer:
37/6
Step-by-step explanation:
Casey has 8 1/2 yards of fabric she uses 2 1/2 yards to make a pillow and 3 yards to make curtains how much fabric is remaining
Answer:
3 yards
Step-by-step explanation:
8 1/2 - 2 1/2 = 6
6 - 3 = 3
Your answer is 3.
Please mark as brainliest.
6 (x – 3) = 4(x – 4) + 2 (x - 1)
Answer: Infinitely many solutions
Step-by-step explanation: 0 = 0
Which is a factor of the polynomial f(x) = 6x4 – 21x3 – 4x2 + 24x – 35?
Answer:
If a polynomial function has integer coefficients, then every rational zero will have the form pq p q where p p is a factor of the constant and q q is a factor
Step-by-step explanation:
Using synth. div. to check whether or not 7/2 is a root:
___________________________
7/2 / 6 -21 -4 24 -35
21 0 -14 35
----------- ------------------------------
6 0 -4 10 0
Because the remainder is zero, 7/2 (or 3.5) is a root of the polynomial. Thus, (x-3.5), or (x-7/2), is a factor.
Multiply the following binomials together :(x+1)(x+3)
Answer:
x²+4x+3
Step-by-step explanation:
(x+1)(x+3)
x²+3x+1x+3
x²+4x+3
question 9 i mark as brainliest
Answer:
I think the third one I'm not sure tho
Answer:95,826
Step-by-step explanation:
Find the common ratio of the geometric sequence 2,-6,18,...
Answer: -3
Step-by-step explanation:
Use the ratio r= a2/a1
So -6/2= -3
2*-3=-6
-6*-3= 18
18*-3= -54
blake ran laps around the gym
3+(-h)+(-4)where h = -7.
Answer:
6
Step-by-step explanation:
3+(-h)+(-4)
Let h = -7
3+(- -7)+(-4)
3+(7)+(-4)
10 -4
6
ALGEBRA 2
There were 350 tickets sold for the spring concert at the local high school. Adult tickets cost $4.00 each, student tickets cost $2.50 each, and senior tickets cost $2.00 each. There were 40 fewer senior tickets sold than student tickets. If a total of$1,095 was collected from tickets, write the linear systems that could be used to find the number of each type of ticket sold
Answer:
[tex]\left\{ \begin{array}{ll} a+s+r=350 \\ 4a+2.5s+2r=1095\\r=s-40 \end{array} \right.[/tex]
Step-by-step explanation:
Let's define our variables. Let a represent the number of adult tickets sold, s represent the number of senior tickets sold, and r represent the number of senior tickets sold.
We know that a total of 350 tickets were sold. So, the number of adult, student, and senior tickets sold must total 350. Therefore, we can write the following equation:
[tex]a+s+r=350[/tex]
We know that each adult ticket costs $4, each student ticket costs $2.50, and each senior ticket costs $2. We are given that a total of $1095 was collected. Therefore, the number of tickets multiplied by their respective price must equal $1095. So, we can write the following equation:
[tex]4a+2.5s+2r=1095[/tex]
Finally, we know that 40 fewer senior tickets were sold than student tickets. So, however many students tickets were sold, we can subtract 40 to get the number of senior tickets sold. Therefore:
[tex]r=s-40[/tex]
So, our system of equations is:
[tex]\left\{ \begin{array}{ll} a+s+r=350 \\ 4a+2.5s+2r=1095\\r=s-40 \end{array} \right.[/tex]
And we're done!
Simplify (x^2/7)^3/4
Answer:
(x^2)^(3/4)/7^(3/4)
Step-by-step explanation:
How do you do this question?
Answer:
Cartesian Equation: y = √(1 - x^2)
Graph: Second one
Step-by-step explanation:
x^2 = sin^2(θ/2),
y^2 = cos^2(θ/2),
According to that theory, by the circle equation, x^2 + y^2 = 1^2.
When θ = -π, x = sin(-π/2) = - 1, and y = cos(-π/2) = 0
When θ = π, x = sin(π/2) = 1, and y = cos(π/2) = 0
The radius is 1 in this case, (x^2 + y^2 = r^2 -> x^2 + y^2 = 1^2 -> x^2 + y^2 = 1) as the semicircle ranges from (- 1, 0) to (1,0). Therefore your graph is the second one;
When theta = 0, x = sin 0 = 0, and y = cos 0 = 1, so the semicircle passes through (0, 1). To determine the equation, let's simply isolate "y" in the equation x^2 + y^2 = 1^2,
In Cartesian form, the equation is y = √(1 - x^2)
A person jogs 1/5 mile in 1/40 hour. The person's speed is (blank) miles per hour
Answer:
8 miles per hour
Step-by-step explanation:
1/5 x 40 = 8
what is the opposite of the integer 62?
Answer: -62
Step-by-step explanation:
Answer:
-62 is the correct answer
What is the midpoint of P(-3,-7) and Q(3,-5)
Answer: See Screenshot
Step-by-step explanation:
If LN = 6x - 5, LM = x + 7, and MN = 3x + 20, find MN.
A.68
B.16
C.23
D.18
Answer : The correct option is (A) 68.
Step-by-step explanation :
As we are given that:
LN = 6x - 5
LM = x + 7
MN = 3x + 20
Now we have to determine the value of MN.
According to the question:
LN = LM + MN
Now putting all the given values in this expression, we get:
6x - 5 = (x + 7) + (3x + 20)
6x - 5 = 4x + 27
6x - 4x = 27 + 5
2x = 32
x = 16
The value of MN = 3x + 20 = 3(16) + 20 = 48 + 20 = 68
Therefore, the value of MN is 68.
In AIJK, i = 850 inches, j = 250 inches and ZK=80°. Find the length of k, to the
nearest inch
Answer:
843
Step-by-step explanation:
Find the slope of the line passing
through (2,5) and (-3, -6).
Answer:
the slope of the line passing through the points (2,5) and (-3,-6) is 11/5
Step-by-step explanation:
(y2-y1)/(x2-x1)
(-6-5)/(-3-2)
-11/-5
11/5
what is the unit rate of Y= -10x
Answer:
"-10 units per unit increase in x"
Step-by-step explanation:
That "-10" is the rate of change: "-10 units per unit increase in x."
Find the distance between the two numbers on a number line. Write your answer as a decimal.
-1.85 , 7.36
Answer:
9.21
Step-by-step explanation:
I'm pretty sure you just add the two numbers as positive numbers :/
The required distance on the number line between the points -1.85 and 7.36 is 9.21.
Given that,
To determine the distance between the two numbers on a number line points are -1.85 and 7.36.
A number line is defined as the number marked on the line calibrated into an equal number of units. For example -1, 0, 1, and so on.
Here,
On the number line, -1.85 lies on the left of the zero, and 7.36 lies on the right so the required distance would be the addition of the two points. So,
Distance = 7.36 - (-1.85)
Distance = 7.36 + 1.86
Distance = 9.21
Thus, the required distance on the number line between the points -1.85 and 7.36 is 9.21.
Learn more about number line here:
brainly.com/question/17683084
#SPJ5
A city has a population of 38802500 people. Estimate this population to the nearest ten million
Answer:
40,000,000 or 40 million
Step-by-step explanation:
Suppose that COP and TOD are vertical angles, m COP = 11x - 17
and m TOD = 9x + 11.
Determine the Measure of COD
Determine the measure of POT
Answer:
Step-by-step explanation:
If COP and TOD are vertical angles, then they are equal to each other because vertical angles are equal.
m COP = m TOD
Given
COP = 11x - 17
TOD = 9x + 11.
Substitute:
11x-17 = 9x+11
11x-9x = 11+17
2x = 28
x = 28/2
x = 14
Get <COD
<COP = 11(14)-17
<COP = 154-17
<COP = 137
<COD = 180-<COP
<COD = 180-137
<COD = 43°
Similarly:
<POT = 180 - <TOD
<POT = 180 - [9(14)+11]
<POT = 180 - 137
<POT = 43°
In a random sample of 26 people, the mean commute time to work was 34.8 minutes and the standard deviation was 7.3 minutes. Assume the population is normally distributed and use a t-distribution to construct a 98% confidence interval for the population mean mu. What is the margin of error of mu? Interpret the results.
Answer:
September 28 e release ang module to the top of the page for the first time in the world of Worcester cathedral during the period of the page for the first time in the world to see if you can find a way to get a hold of me for a few days to get to the top of the page for the first time in the world to see if you can find a way to get a hold of me for a few days to get to the top of the page
Answer:
Step-by-step explanation:
population mean is 32.9, 36.7
margin of error is 1.9
Question 5: What is the equation of the line parallel to x = 7, passing through the point (-4, 1)?
A. X = -4
B. X = 1
C. Y = -4
D. Y = 1
Answer:
(A) x= -4
Step-by-step explanation:
The question requires you to find the equation of the line parallel to x=7
Line x=7 is a vertical line crossing the x-axis at x=7
A vertical line has undefined slope, no slope
However, parallel lines are those that do not meet and has the same slope. This means you should expect that the equation required should also have an undefined slope, slope of zero.
The line will pass through point (-4,1) and be a vertical line.
The equation of the line will be: x= -4
One half of a number (use x) is equal to 8 less than the same number.