Answers
Answer:
A. Definition of angle bisector
Step-by-step explanation:
Given that ΔABC is an isosceles triangle where AB = BC, and that BD bisects ∠ABC, then by the definition of angle bisection of ∠ABC, we have;
m∠ABD = m∠CBD
The correct option is option A. Definition of angle bisector
Also, given that ΔABC is an isosceles triangle and BD is the angle bisector of ∠ABC, we get;
AD = CD and BD = BD
We can therefore, also find that ΔABD ≅ ΔCBD by Side Side Side (SSS) rule of congruency
Related Questions
Can someone help me on this
Answers
Answer:
d
Step-by-step explanation:
In Exercises 51−56, the letters a, b, and c represent nonzero constants. Solve the equation for x
ax – 2 = 12.5
Answers
Answer:
x = 14.5/a
Step-by-step explanation:
ax – 2 = 12.5
Add 2 to each side
ax – 2+2 = 12.5+2
ax = 14.5
Divide by a
ax/a = 14.5/a
x = 14.5/a
looking for the equation, slope, and y-intercept of: (1,-3) and (0,-1)
Answers
Answer:
Equation: y = -2x - 1
Slope: -2
Y intercept: -1
Step-by-step explanation:
First, find the slope using rise over run, (y2 - y1) / (x2 - x1):
(y2 - y1) / (x2 - x1)
(-1 + 3) / (0 - 1)
2 / -1
= -2
So, the slope is -2. Plug this and a point into slope intercept form, y = mx + b, and solve for b:
y = mx + b
-1 = -2(0) + b
-1 = 0 + b
-1 = b
So, the y intercept is -1. Create the equation by plugging in the slope and b into y = mx + b:
y = mx + b
y = -2x - 1
The equation of the line is y = -2x - 1.
Answer: y=-2x-1. Slope is -2 and y int. is -1.
Step-by-step explanation:
First, you need to find the slope by using the slope formula y2-y1/x2-x1. Plug in the x and y coordinates, which simplifies as -1-(-3)/0-1, and furthermore to 2/-1, or -2. The y intercept can be found by the second point, (0,-1). Therefore, the y int. is -1.
Could someone please help me with this
Answers
Answer:
what are the questions
Step-by-step explanation:
Find EF
-----------------------------------------------
Answers
===========================================================
Work Shown:
(whole length)*(external part) = (whole length)*(external part)
(EG)*(FG) = (SG)*(HG)
(2x+4)*(4) = (x+5)*(5)
8x+16 = 5x+25
8x-5x = 25-16
3x = 9
x = 9/3
x = 3
Use this x value to find EF
EF = 2x
EF = 2*3
EF = 6
For more information, search out "secant secant formula". It's not a typo that I wrote "secant" twice.
f (x) = -x^2 + x + 14 Find f(2)
Answers
f(x) = -x² + x + 14
f(2) = -2² + 2 + 14 = -4 + 16 = 12
f(2) = 12
Answer:
12
Step-by-step explanation:
f (x) = -x^2 + x + 14
Let x= 2
f(2) = - (2)^2 +2+14
= -4 +2+14
= -2 +14
= 12
arc length of an oval that is 6ft by 5ft. i just want 1/4 of the oval. i want to find out how long i would need a wire to go from the ground to the middle of the "dome".
the picture explains it better.
in the end i want to have a wire frame around the garden and than take some netting and use that to keep out the big bugs and birds. i will of course use zip ties to attach the screen/netting to the frame. unless there is a easier and cheaper way to do this.
Answers
You can model the ellipse with the equation
(x/6)² + (y/5)² = 1
If you're comfortable with calculus, read on.
Let x = 6 cos(t ) and y = 5 sin(t ), with 0 ≤ t ≤ π/2. Then the curve C parameterized by (x(t), y(t)) traces out one quarter of the ellipse. The arc length of this curve is given by the integral,
[tex]\displaystyle\int_C\mathrm ds = \int_0^{\pi/2}\sqrt{x'(t)^2+y'(t)^2}\,\mathrm dt \\\\ = \int_0^{\pi/2}\sqrt{36\sin^2(t)+25\cos^2(t)}\,\mathrm dt \\\\ = \int_0^{\pi/2}\sqrt{25+11\sin^2(t)}\,\mathrm dt \\\\ = 5\int_0^{\pi/2}\sqrt{1+\frac{11}{25}\sin^2(t)}\,\mathrm dt[/tex]
Unfortunately, you cannot find the exact value of this integral. (Well, you can, but it involves introducing a special kind of function; I'll link it in a comment.)
But you can approximate it, and the integral above comes out to about 8.657.
I'm not sure if there's a simpler, purely geometric way to estimate the arc length. But since the semiaxes (5 ft and 6 ft) are fairly close, you could try a circle with a radius somewhere in between. The arc length would range between 7.854 ft and 9.425 ft. If the material isn't too expensive, you can always overshoot and trim off the excess or repurpose it.
A box of crayons has one each of red, orange, yellow, green, blue, purple, black, and brown. What is the probability of randomly selecting the black crayon and then randomly selecting the purple crayon if you do replace the first crayon before selecting the second crayon?
Answers
P ( selecting purple crayon) 1/8
P ( B,P)= 1/8 x 1/8 = 1/64
The probability is 1/64 and you can draw a tree diagram to visualise the two events.
4 m² into cm²
plz help me fast
Answers
Answer: 40000 square centimetres
Area
4
Square meter
40000
Square centimeter
Formula
multiply the area value by 10000
Answer:
4m² into cm² = 40,000cm²
Step-by-step explanation:
1 m²=10,000cm²
4m²+ 10,000cm =40,000cm²
Amira is twice as old as her cousin Pam. Nine years ago, their combined age was 18. What are their present ages?
Answers
Answer:
Amira is currently 24 years old and Pam is currently 12 years old
Step-by-step explanation:
Let Amira's age be [tex]a[/tex] and Pam's age be [tex]p[/tex]. Currently, Amira is twice as old as Pam. Therefore, we can write the equation [tex]a=2p[/tex].
We can write a second equation using the other information given in the question. Nine years ago, Amira and Pam's combined ages was 18. If Amira and Pam are currently [tex]a[/tex] and [tex]p[/tex] years old, respectively, then their respective ages 9 years ago would ben [tex]a-9[/tex] and [tex]p-9[/tex]. Since these add up to 18, we have the equation [tex](a-9)+(p-9)=18[/tex].
Therefore, we have a system of equations:
[tex]\begin{cases}a=2p,\\a-9+p-9=18\end{cases}[/tex]
Substitute the first equation into the second one:
[tex]2p-9+p-9=18[/tex]
Combine like terms:
[tex]3p-18=18[/tex]
Add 18 to both sides:
[tex]3p=36[/tex]
Divide both sides by 3:
[tex]p=\frac{36}{3}=\boxed{12}[/tex]
Now substitute this into any of the equations (I'll choose the first):
[tex]a=2p,\\a=2(12),\\a=\boxed{24}[/tex]
Therefore, Amira is currently 24 years old and Pam is currently 12 years old.
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Which of the following statements is true?
A. A data set will always have exactly one mode
B. A data set can have multiple modes
C. A data set will always have at least one mode
D. A data set will never have a mode
Answers
Answer:
B
Step-by-step explanation:
Let's go over each option with the process of elimination!
A. A data set will always have exactly one mode.
Contradiction: 2, 2, 3, 3, 4, 5, 6
in this data set, both 2 and 3 are modes, so it is incorrect.
B. A data set can have multiple means.
True, example as A.
C. A data set will have at least one mode.
Contradiction: 2, 3, 4, 5, 6
There are no modes in here.
D. A data set will never have a mode.
Contradiction: 2, 2, 3, 4, 5
The mode is 2.
The only true statement is answer B.
I hope this helped! :D
Answer:
b
Step-by-step explanation:
if a data set had 1,1,3,4,4 how would you have 2 modes, 1,4. If you had 1,1,2,2,3,3 you would have 1,2,3 as your modes
a is wrong, c is wrong, d is wrong
a:my example has more that one
c:i have no explanation
d:is well already wrong
Martha and Dave have 99$. Martha has 3 more than seven times as much money as Dave. How much does each person have?
Answers
Answer:
x = 12 m = 87
Step-by-step explanation:
x = Dave
(7x + 3) + x = 99
8x + 3 = 99
-3 -3
8x = 96
---- ----
8 8
x = 12
7(12) + 3
84 + 3
87
Dave has 12 dollars, Martha has 87.
find the measure of the indicated angle to the nearest degree
Answers
Answer:
71°
Step-by-step explanation:
12/36 = 1/3
inverse cos(1/3) = 70.53 = 71
ASAP
When the following quadratic equation is written in general form, what is the value of "c"?
THE EQUATION IS IN THE ATTACHMENT
a.) -8
b.)-2
c.)-6
wrong=reported
Answers
Answer:
+ 2 is a value for "C"
if the general form is ax^2 + bx +c and you want the A to be a positive integer...
then the c value would be -8
3x^2 - 8 = 0
Step-by-step explanation:
How many 3-digit numbers can you write if you cannot use any other digits except 4 and 6?
Answers
Answer:
Step-by-step explanation:
4 4 4
4 4 6
4 6 6
4 6 4
6 6 6
6 6 4
6 4 4
6 4 6
Sausages come in packets of 12. Bread rolls come in packets of 9. Brian wants to buy enough packs of sausages and rolls so that there are an equal number of sausages and rolls. What is the minimum number of sausages and rolls he needs to buy?
Answers
Explanation:
I do guess and check.
12(1) + 9(1) = 12 + 9
12(2) + 9(2) = 24 + 18
12(3) + 9(3) = 36 + 27
12(3) + 9(4) = 36 + 36
So that’s the answer
what is the volume of the cylinder
Answers
Answer:
B
Step-by-step explanation:
Volume of the figure = Volume of cylinder + Volume of cone
Note: A cone having the same radius and height as cylinder have a volume (1/3) of cylinder
Volume of cone=(1/3)*96=32
Volume of the figure = 32+96=128
Kraig deposited money into a money market account. It has an interest of 12% and is compounded annually. Kraig thought 3% would be the equivalent quarterly interest rate. Is Kraig correct? If he is, explain why. If he is not correct, state what the equivalent quarterly interest rate. Explain.
Answers
Answer:
If the amount is P, with the interest rate of 12%, the interest over the year is:
P*(1.12) - P = 0.12PIn this case the quarterly interest rate is:
0.12P/4 = 0.03PWith the same amount and 3% quarterly rate, the yearly interest would be:
P*(1.03)^4 - P = 0.1255PThe quarterly interest rate in this case is:
0.1255P/4 = 0.031375PIf the quarterly interest rate is r, it should be little less than 3% to yield a 12% yearly rate.
So Kraig is wrong.
Plz answer fast!! i need help
Answers
Answer: D) w = 9 feet
Work Shown:
[tex]L = \sqrt{w^2+h^2}\\\\L^2 = w^2+h^2\\\\L^2-h^2 = w^2\\\\w^2 = L^2-h^2\\\\w = \sqrt{L^2-h^2}\\\\w = \sqrt{15^2-12^2}\\\\w = \sqrt{225-144}\\\\w = \sqrt{81}\\\\w = 9\\\\[/tex]
That points us to the final answer choice D.
WILL GIVE BRAINLIEST AND 20 POINTS! PLEASE SHOW WORK!
How many different 8-digit phone numbers do not contain the digit 2? Assume that any digit in the phone number can be any of the remaining numbers. Use the Multiplication Principle of Counting to solve the problem.
Answers
The number of different 8 digit phone numbers we can have that do not contain the digit 2 is 43046721 numbers
Since there are 10 digits in our number system from 0 to 9, and we are looking for the number of different 8-digit phone numbers that do not contain the digit 2, we would be one digit short. So, for each digit position, we would have 10 - 1 digits = 9 digits.
Since we have 8 places for each digits, for the first place, we have 9 digits. For the second place, we have another 9 digits and so on till we get to the 8 th digit place.
So, for all 8 digit places, we have 9 × 9 × 9 × 9 × 9 × 9 × 9 × 9 × 9 = 9⁸.
So, the number of different 8 digit phone numbers we can have that do not contain the digit 2 is 9⁸ numbers = 43046721 numbers.
Thus, the number of different 8 digit phone numbers we can have that do not contain the digit 2 is 43046721 numbers.
Learn more about multiplication principle of counting here:
https://brainly.com/question/1091225
2/4+1=1/6 x-7 what is the value of x in this epuation
Answers
I hope this is correct and is this the answer you’re looking for?
Jun made a round tablecloth for his kitchen table. The tablecloth is 4.5 feet in diameter. Approximately how much fabric did Jun use for the tablecloth?
Answers
Answer:
the correct answer is 16ft^2
The definition of a circle
Answers
Answer:
a round plane figure whose boundary (the circumference) consists of points equidistant from a fixed point (the center)
Explanation:
Oxford dictionary definition
Step-by-step explanation:
a circle is a shape consisting of all points in a plane that are at a given distance from a given point the center
In the first quadrant, you start at 2, 6 and move 2units rights and 3 units down what point will you end up on?
Answers
Answer:
[tex]End = (4, 9)[/tex]
Step-by-step explanation:
Given
[tex]Start = (2,6)[/tex]
Transformation: 2 units right and 3 units down
Required
The new point
First, we take the right translation;
When a point is translated right by 2 units, the rule is:
[tex](x,y) \to (x + 2, y)[/tex]
So, we have:
[tex](2,6) \to (2 + 2, 6)[/tex]
[tex](2,6) \to (4, 6)[/tex]
Next, we take the down translation;
When a point is translated down by 3 units, the rule is:
[tex](x,y) \to (x, y + 3)[/tex]
So, we have:
[tex](4,6) \to (4, 6+3)[/tex]
[tex](4,6) \to (4, 9)[/tex]
Hence, the endpoint is:
[tex]End = (4, 9)[/tex]
Pls what is the formula for finding the base and the height of a triangular pyramid.
Answers
Answer:
Take the Cubits and multiply
Step-by-step explanation:
This is a problem i had so just fill it in to your numbers etc.
A= 43.3 cubits squared
SA= the base of A +1/2 (p x slant h)
SA= 43.3 cubits squared + 1/2 (30 x 14 cubits)
To sum it up u can message me ur numbers and ill help
Write a verbal expression for (c-2)d
Answers
Answer:
the sum of c minus 2 multiplied by d ------> (c-2)d
20. Which ordered pair is a solution to
y = 7x - 3?
A. (-2, -17) C. (2,7)
B. (-2, 11) D. (2, 14)
Answers
Answer:
A.
Step-by-step explanation:
Here's how to determine if a ordered pair is a solution to an inequality
Step 1. Take the ordered pair and substitute their x and y values to the inequality
Inequality: [tex]y=7x-3[/tex]
Ordered pair: [tex](-2,-17)[/tex]
Answer: [tex]y=7x-3[/tex]
[tex]-17=7(-2)-3[/tex]
Step 2. Solve
[tex]-17=7(-2)-3[/tex]
[tex]-17=-14-3[/tex]
[tex]-17=-17[/tex]
Therefore, [tex](-2,-17)[/tex] is a solution to the inequality
A woman deposits 100 EUR in her daughter's bank account on her first birthday. On every subsequent birthday, she deposits 10 EUR more than she deposited the previous year, so on her second birthday, she deposits 110 EUR, and on her third birthday she deposits 120 EUR.
By the time her daughter is 21 years old, how much money has been deposited in her account?
Answers
Answer:
By the time her daughter is 21 years old 300 EUR will have been deposited into the account.
Step-by-step explanation:
Since a woman deposits 100 EUR in her daughter's bank account on her first birthday, and on every subsequent birthday, she deposits 10 EUR more than she deposited the previous year, so on her second birthday, she deposits 110 EUR, and on her third birthday she deposits 120 EUR, to determine, by the time her daughter is 21 years old, how much money has been deposited in her account, the following calculation must be performed:
100 + (20 x 10) = X
100 + 200 = X
300 = X
Therefore, by the time her daughter is 21 years old 300 EUR will have been deposited into the account.
Jessica is traveling at a speed of 60 miles per hour in her truck. After 4 hours, how far will she have traveled?
Answers
Answer:
240 miles
Step-by-step explanation:
60*4=240
Answer: 240
Step-by-step explanation: If she is traveling 60 miles per hour you can multiply it by 4, which is 240.
What are the factors of the expression below -2x^2+5-3
A -1(2x-3)(x-1)
B -1(2x+3)(x-1)
C -1(2x+3)(x+1)
D -1(2x-3)(x+1)
Answers
Answer:
A
Step-by-step explanation:
Given
- 2x² + 5x - 3 ← factor out - 1 from each term
= - 1(2x² - 5x + 3) ← factor the quadratic
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 2 × 3 = 6 and sum = - 5
The factors are - 2 and - 3
Use these factors to split the x- term
2x² - 2x - 3x + 3 ( factor the first/second and third/fourth terms )
2x(x - 1) - 3(x - 1) ← factor out (x - 1) from each term
(2x - 3)(x - 1)
Then
- 2x² + 5x - 3 = - 1(2x - 3)(x - 1) → A
