Answer:
C. ∆ABD ≅ ∆CBD by the SSS Postulate
Step-by-step explanation:
We can prove that ∆ABD and ∆CBD congruent by the SSS Postulate.
The SSS postulate states that of three sides in one triangle are congruent to three corresponding sides in another, therefore, the two triangles are congruent.
From the diagram shown,
AB ≅ CB,
AD ≅ CD
BD = BD
We have three sides in ∆ABD that are congruent to three corresponding sides in ∆CBD.
Therefore, ∆ABD ≅ ∆CBD by the SSS Postulate
Answer: Triangles ABD and CBD are congruent by the SSS Congruence Postulate.
Hope it helps :)
Solve: -15/2 + 5y divided by 5/2
Answer:
- 3 + 2y
Step-by-step explanation:
[tex]\frac{-\frac{15}{2} +5y}{\frac{5}{2} }[/tex]
[tex]\frac{2}{5}( -\frac{15}{2} +5y} )[/tex]
[tex]-3+2y[/tex]
Step-by-step explanation:
Division by a fraction such as 5/2 is equivalent to multiplication by the reciprocal of the fraction (2/5).
Multiplying (-15/2 + 5y) by 2/5 yields:
-3 + 2y (answer)
Divide Rs 84 in 1:2 ratio
Answer:
Rs . 28 and Rs.56
Step-by-step explanation:
Explaination in figure
Please mark me as brainliest
If R ={(a,1),(b,2)} then which one is the inverse of the relation R?
Answer:
R’ = {(1,a) , (2,b)}
Step-by-step explanation:
For us to get the inverse, we switch the places of the x and y variables
The x variable goes to the place of the y variable and the y variable goes to the place of the x variable
we have this as;
R’ = {(1,a) , (2,b)}
Add the first 94 terms of this sequence: 9, 33, 57, 81, 105,
Answer: 105750
Step-by-step explanation:
From the sequence 9, 33, 57, 81, 105, the following can be derived:
a = First term = 9.
d = Common difference = 33 - 9 = 24
n = Number of terms = 94
The sum of the nth term will be:
= n/2[2a + (n – 1)d]
= 94/2 [(2 × 9) + (94 - 1) × 24]
= 47 [18 + (93 × 24)]
= 47[18 + 2232]
= 47 × 2250
= 105750
Therefore, the sum of the 94 terms of the sequence is 105750.
The coordinates of three vertices of a parallelogram are (2, 3), (6, 3) and (4, 7). What are the coordinates of the fourth vertex?
The correct option is B)
Let the fourth vertex D =(x,y)
We know that the diagonals of a parallelogram bisect each other. So, the.
What is the midpoint?The midpoint of AC is the same as the midpoint of BD.
Midpoint of two points (x 1 ,y 1 ) and (x 2,y 2) is calculated by the formula ( 2x 1+x 2, 2y 1+y2 )
So, the midpoint of AC= Midpoint of BD
=>( 2−2+8, 23+3)=( 26+x, 27+y
=>( 6, 26)=( 26+x, 27+y)
=>6+x=6;7+y=6
=>x=0;y=−1
Hence, D=(0,−1)
Solve any question of Coordinate Geometry with.
To learn more about coordinate geometry visit:
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help I will give you brainliest if you do
A projectile is launched into the air following the equation h(t)=-40t^2+200t, where h(t) is the height of the projectile above the ground in feet, and it is the time, in seconds. How much times elapses, in seconds, from the time the projectile is launched to the time the projectile hits the ground?
a)1
b)4
c)5
d)16
Answer:
Step-by-step explanation:
If the position function is
[tex]h(t)=-40t^2+200t[/tex] and we are looking for time when the height is 0, we sub in a 0 for h(t) and solve for t:
[tex]0=-40t^2+200t[/tex] and the easiest way to do this is to factor by taking the GCF of -40t:
0 = -40t(t - 5) and by the Zero Product Property,
-40t = 0 or t - 5 = 0. Solving for t, we get
t = 0 (which is before the object is launched) and
t = 5 (which is how long it takes the object to go from the ground, up to its max height, and then back to the ground again).
Your choice is c) 5
Please help me with this question please help me rn
Answer:
Check the explanation for the answer please. Thank you!
Step-by-step explanation:
a. Nina is correct, because the formula P = 2l + 2w would be a correct perimeter formula. Alexander, however, is wrong, because the formula P = 2(l + w) would be an incorrect perimeter formula.
b. P = L + L + W + W would be another correct perimeter formula, as it is the same thing to P = 2l + 2w.
c. One reason the paint was empty after their calculations were correct would be because of their argument before determining the perimeter amount of paint that they need. Another reason the paint was empty after their calculations were correct was because of the fact that they probably don't know how to perfectly do the paint within the perimeter. [I might be wrong about this, but it should be an opinion question anyway.] DO NOT WRITE/TYPE THE PARENTHESIS INTO THIS PROBLEM!!!
Hope this helped!
I NEEEDDDD HELPPPP ITS URGENTTTTT!!!!!
Answer:
(x-3)^2+(y-16)^2=9
Step-by-step explanation:
Answer:
The answer is 9
Step-by-step explanation:
(x-3)^2+(y-16)^2=9
Hope this helps :)
the slope of a line is 2. the y-intercept of the line is -6. which statements accurately describe how to graph the function
x + a = 10 . Find the vale of x if a = 10.
Answer:
x = 0
Step-by-step explanation:
a = 10
=> x + a = 10
=> x + 10 = 10
=> x = 10 - 10
=> x = 0
Write the slope-intercept form of the equation of the line described. Through (-1,-1) parallel to y=6x-2
Answer:
[tex]\boxed {\boxed {\sf y= 6x+5}}[/tex]
Step-by-step explanation:
We are asked to find the slope-intercept equation of a line. Slope-intercept form is one way to write the equation of a line. It is:
[tex]y=mx+b[/tex]
Where m is the slope and b is the y-intercept.
We are given a point (-1, -1) and the line is parallel to the line y= 6x-2. Since the line is parallel to the other line, they have the same slope, which is 6. We have a point and a slope, so we should use the point-slope formula to find the equation of the line.
[tex]y-y_1= m (x-x_1)[/tex]
Here, m is the slope and (x₁, y₁) is the point. We know the slope is 6 and the point is (-1, -1). Therefore:
m= 6x₁= -1y₁= -1Substitute the values into the formula.
[tex]y- -1 = 6(x- -1) \\y+1= 6(x+1)[/tex]
Distribute the 6. Multiply each value inside the parentheses by 6.
[tex]y+1 = (6*x)+ (6*1) \\y+1= 6x+6[/tex]
Slope-intercept form requires y to be isolated. 1 is being added to y. The inverse of addition is subtraction. Subtract 1 from both sides.
[tex]y+1-1=6x+6-1 \\y= 6x+5[/tex]
The equation of the line in slope-intercept form is y=6x+5
Given the slope of y+2=3(x-7) and a point on the line
Hi there!
»»————- ★ ————-««
I believe your answer is:
m = 3
(7, -2)
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
The equation given is in point-slope form.
⸻⸻⸻⸻
[tex]y - y_1 = m(x-x_1)\\\\m-\text{slope}\\\\(x_1,y_1)-\text{point}[/tex]
⸻⸻⸻⸻
The '3' is in the 'm' spot.
The y value is '-2', (y -(-2)) and the 'x' value is 7.
The point of the line is (7, -2) and the slope is 3.
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
can someone please solve 3x^2+4x-7<13
Answer:
-10/3 < x < 2
so the answer is x<-10/3 or x>2
Step-by-step explanation:
:)
What is the inverse of the function y=-8x+15?
Answer:
y = (x-15)/-8
Step-by-step explanation:
When solving for an inverse function, swap x and y without bringing the x coefficient with it, just simply swap the variables. Then, solve for y, and that's it.
y = -8x + 15
x = -8y + 15
x-15 = -8y
(x-15)/-8 = y
Step-by-step explanation:
Hey there!
Given function is: y = -8x + 15
~ Interchange"X" and "y".
x = -8y + 15
~ Solve it
8y = 15-x
y = (15-x)/8
Therefore, the inverse of function is y = (15-x)/8.
Hope it helps!
Can someone help me I need it.
Answer:
C is the answer 3rd one...
help help help help it is little simple
3x ² - 2x + 1 = 2x ² - 3x + 7
x ² + x - 6 = 0
(x + 3) (x - 2) = 0
x + 3 = 0 or x - 2 = 0
x = -3 or x = 2
A knight traveled on his horse from one kingdom to another for 2 days. The first day he rode at a speed of 20 mph, and the second day he rode at a speed of 30 mph. If he traveled exactly the same amount of time each day and went 800 miles, find how many hours it took the knight to travel from one kingdom to another.
Answer:
Step-by-step explanation:
That was some horse.
20*t + 30*t = 800 Each day he rode the same amount of time (t). On the first day, he rode a distance of 20*t. On the second day, he rode a distance of 30*t
50t = 800
t = 800/50
t = 16
Each day he rode 16 hours
Total time = 32 hours.
Answer:
32 hours
Step-by-step explanation:
which of the following is the x-coordinate of the solution to the system shown below
2x + y = 17
x - y = 4
———————————————
(1) x = 5
(2) x = 2
(3) x = 7
(4) x = 12
thank you in advance to ANYONE who answers this question:)))
Answer:
Step-by-step explanation:
Decrease £180 by 12.5%
Answer:
£ 157.5
Step-by-step explanation:
12.5 × 180 = 22.5
100
180 - 22.5 = 157.5
I hope this helps.
i need help and nobody's helping me :(
find the range of the function y = -x^(2) + 1
y ≤ -1
y ≥ -1
y ≤ 1
y ≥ 1
Answer:
C
Step-by-step explanation:
y=-x^2+1. y is a decreasing function as x^2 is an increasing function
A line of best fit must pass through all data points of a graph.
True or False?
AC. DF, and GI are parallel. Use the figure to complete the proportion.
AD/DG = ?/EH
Answer:
BE.
Step-by-step explanation:
If AD is to DG, then BE must be to EH, and CF must be to FI.
(-32ux+19u^2x^3-12u^6x^7) divided by (-4u^2x^3)
Answer:
\left(-32ux+19u^2x^3-12u^6x^7\right)\:divided\:by\:\left(-4u^2x^3\right)
Step-by-step explanation:
Factor the numerator and denominator and cancel the common factors.
\frac{8}{ux^2}\:-\frac{19}{4}+3u^4x^4
Kristi finds a shirt for $27.99 at the store.
The sign says that it is 25% off the
original price. Kristi must also pay the 8.5%
sales tax. What is the cost of the shirt
after the sales tax?
Answer:
Kristi will pay $22.77 for the shirt.
Step-by-step explanation:
First, determine the sales price of the shirt. If the full price is $27.99, a 25% reduction is $7. Subtract the discount from the full price to get a sales price of $20.99 for the shirt.
Next, determine the amount of tax Kristi will pay for the shirt. In her state, the sales tax is 8.5% (0.085). Multiply $20.99 by 0.085 and you will see that the sales tax is $1.78. Add the amount of the tax, $1.78, to the sales price of the shirt, $20.99, and you will get $22.77 as the cost of the shirt after the sales tax is added.
what is rational number and arithmetic number
[tex] \huge \mathtt \blue{answer}[/tex]
Here, “p” is a numerator and “q” is a denominator. The examples of rational numbers are 6/5, 10/7, and so on. The rational number is represented using the letter “Q”. Like real numbers, the arithmetic operations, such as addition, subtraction, multiplication, and division are applicable to the rational numbers.
Factorise x²-5 please
[tex]\sf \: {x}^{2} - 5[/tex]
[tex]\sf \: Use \: the \: algebraic \: identity \\ \sf \: a {}^{2} - {b}^{2} = (a - b)(a + b)[/tex]
[tex]\sf \: Substitute \: the \: value \: of \: a \: and \: b \: in \: the \: identity.[/tex]
[tex]\sf \: a = \sqrt{x ^{2} } = x \\ \sf \: b = \sqrt{5} [/tex]
[tex]\sf \: the \: identity \: becomes \: [/tex]
[tex]\sf {x}^{2} - 5 \\ \sf = (x - \sqrt{5} )(x + \sqrt{5} ) \\ [/tex]
Answer ⟶ [tex]\boxed{\bf{(x - \sqrt{5} )(x + \sqrt{5} )}}[/tex]
Please please please help!!!!
======================================================
Explanation:
The rule we use is
a^b * a^c = a^(b + c)
This says that if we multiply exponential expressions with the same base, then we add the exponents. We keep the base the same the entire time.
For example, 2^3*2^4 = 2^(3+4) = 2^7
--------------
For this problem, we'll say,
5^(56)*5^(22)*5^(-96)
5^( 56+22+(-96) )
5^(-18)
Be sure that you use parenthesis so that you tell your teacher that all of the -18 is in the exponent. Saying 5^-18 could lead to ambiguity.
Answer:
sorry it he question isn't clear
Can anyone assist me with this problem ?
Answer,
C
Step-by-step explanation:
I had the same question 2 days ago
Calculate the next 3 terms and write the formula for the nth term for the following sequences. 24,11,-2
Answer:
next 3 terms are -15, -28, -41. The formula would be n= (n-1)-13 to get the nth term
Step-by-step explanation:
