What third congruence do you need to prove that ΔADB ΔCDB by AAS?
AB (that equal sign with the ~ above it) BC
AD (that equal sign with the ~ above it) DC
∠ ABD ∠ CBD
∠ DBA ∠ CDB
Answers
Related Questions
125% of what number is 264
Answers
x * 125 / 100 = 264
x = 264*100 / 125
x = 26400/125
x = 211.2
So, that number & your final answer is 211.2
Hope this helps!
To find out what number 125% is equal to 264, one should set up the equation 1.25x = 264 and solve for x, which gives x = 211.2.
Explanation:The question asks to find a number such that 125% of it equals 264. To solve for the original number, we set up the equation 1.25x = 264, where 1.25 represents 125% in decimal form, and x is the unknown number we are solving for. We divide both sides of the equation by 1.25 to isolate x, giving us x = 264 / 1.25.
By performing this division, we get:
x = 211.2
Therefore, 125% of 211.2 is 264.
How would the following numbers be represented in E notation?
3.287 x 10^6
Answers
or
3.287E+6
E replaces the value of 10
Simultaneous equation:
Solve:
2x-3y=11
5x+2y=18
Answers
3*5x+3*2y=3*18------------------------(2)
add equation(1)&equation(2)
_____________________________
4x+15x=22+54
19x=76
x=4
put the value of x in equation(1)
2*2*4-2*3y=2*11
16-6y=22
16-22=6y
6y=-6
y=-1
x=4
How to divide this 4.48÷1.4
Answers
:)
a segment has endpoint (-4,8) and 4,12) what are the coordinates of the midpoint
Answers
-4+4 = 0
Then cut this result in half to get
0/2 = 0
So the x coordinate of the midpoint is 0
Similarly, the y coordinates of the two points are 8 and 12. They add to 8+12 = 20
Half of that result is 20/2 = 10
So the y coordinate of the midpoint is 10
The final answer here is the midpoint is (0,10)
the midpoint of the poins (x1,y1) and (x2,y2) is
[tex]( \frac{x1+x2}{2}, \frac{y1+y2}{2}) [/tex]
basically, take their average
given
(-4,8) and (4,12)
x1=-4
y1=8
x2=4
y2=12
[tex]( \frac{-4+4}{2}, \frac{8+12}{2}) [/tex]
[tex]( \frac{0}{2}, \frac{20}{2}) [/tex]
(0,10)
midoint is (0,10)
capricia is using ribbon to create girls hair barrettes. she has a total of 64 yrds of ribbon with which to make her creations. Regular barrettes requires 1 yrd of ribbon and a deluxe of barrettes use 4 yds .
WRITE AN INEQUALITY
Answers
The inequality that represents the situation is 1*R + 4*D <= 64 which indicates that the total amount of ribbon used to make regular and deluxe barrettes should not exceed 64 yards.
Explanation:Let's denote the number of regular barrettes as R and that of deluxe barrettes as D. Each regular barrette requires 1 yard of ribbon and each deluxe barrette requires 4 yards of ribbon. We know that Capricia has a total of 64 yards of ribbon. Therefore, we can create the inequality as follows:
1*R + 4*D <= 64
This inequality states that the total amount of ribbon used for both the regular and the deluxe barrettes should not exceed 64 yards.
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Two triangles that have the same side lengths will always be congruent.
A. True
B. False
Answers
A jeweler orders necklaces from a website that offers $6 shipping for any-size order. each necklace costs $7. the jeweler wants to know the total cost of ordering n necklaces.
Answers
Hope this helps!
Answer:
7n + 6.00
Step-by-step explanation:
A jeweler orders necklaces from a website that offers $6 shipping for any size order.
Each necklace costs $7.00
The jeweler wants to know the total cost of ordering 'n' necklaces.
Therefore the cost of the necklaces is
Total Cost = 7n + 6.00
What is the volume of a cube with a side of length 11 units?
Answers
The graph of F(x), shown below, has the same shape as the graph of G(x) = x2, but it is shifted to the left 3 units. What is its equation?
Answers
Answer:
f(x) = (x - 3)²
Step-by-step explanation:
If the function given below is g(x) = x²
Then we have to find the function f(x) which is same as g(x) but shifted 3 units left.
As we know in the given equation f(x) = (a + x)²+ k, x defines the shift of the function and and k defines the shift of a graph on y-axis upwards or downwards.
Here the graph is shifted left so the value of x will be (-3) which defines the shifting of 3 left on x-axis.
Therefore the new function will be f(x) = (x - 3)²
Answer:
F(x)=(x+3)^2
Step-by-step explanation:
1 is what percent of 52.6?
Answers
Each face of a pyramid is an isosceles triangle with a 74° vertex angle. What are the measures of the base angles?
Answers
A soma dos ângulos internos do triângulo é 180º
x + x + 74 = 180
2x = 180 - 74
2x = 106
x = 106/2
x = 53º (ângulos da base)
Triangle is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
An isosceles triangle is a triangle whose two sides are equal and the angle opposite to the equal sides are equal.
The sum of the isosceles triangle = 180°
The base angle of the isosceles triangle for each face of a pyramid is 53°
What is a triangle?Triangle is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
An isosceles triangle is a triangle whose two sides are equal and the angle opposite to the equal sides are equal.
Now,
Vertex angle of the isosceles triangle = 74°
The sum of the isosceles triangle = 180°
Let the two equal base angles = x
x + x + 74° = 180°
2x + 74° - 180°
2x = 180 - 74
2x = 106
x = 53°
Thus,
The base angle of the isosceles triangle for each face of a pyramid is 53°
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prove the identity. show all work. tan(x-pi/4)=tanx-1/tanx+1
Answers
We used the tangent difference identity to rewrite the LHS in terms of [tex]\( \tan x \) and \( \tan \frac{\pi}{4} \)[/tex], then simplified to match the RHS, confirming the identity.
To prove the identity [tex]\( \tan(x-\frac{\pi}{4}) = \frac{\tan x - 1}{\tan x + 1} \),[/tex] we'll start with the left-hand side (LHS) and manipulate it to match the right-hand side (RHS).
LHS: [tex]\( \tan(x-\frac{\pi}{4}) \)[/tex]
Using the tangent difference identity, [tex]\( \tan(a - b) = \frac{\tan a - \tan b}{1 + \tan a \cdot \tan b} \)[/tex], we have:
[tex]\[ \tan(x-\frac{\pi}{4}) = \frac{\tan x - \tan \frac{\pi}{4}}{1 + \tan x \cdot \tan \frac{\pi}{4}} \][/tex]
Since [tex]\( \tan \frac{\pi}{4} = 1 \)[/tex], we can substitute:
[tex]\[ \tan(x-\frac{\pi}{4}) = \frac{\tan x - 1}{1 + \tan x \cdot 1} \][/tex]
[tex]\[ = \frac{\tan x - 1}{\tan x + 1} \][/tex]
This matches the RHS of the identity. Therefore, we have successfully proved the identity.
Two numbers are of the ratio 3:5. If their difference is 18, find the numbers.
Answers
You are climbing a mountain by the steepest route at a slope of 10∘ when you come upon a trail branching off at a 45∘ angle from yours. What is the angle of ascent of the branch trail?
Answers
When a trail branches off from a path with a 10° slope at a 45° angle, the angle of ascent of the branch trail is still 10° if the steepness remains constant.
If you are climbing a mountain by the steepest route at a slope of 10° and then encounter a trail that branches off at a 45° angle from your current path, we can calculate the angle of ascent of the branch trail using geometric relationships. To do this, we must comprehend that slopes can also be represented in percentages and are related to angles. For instance, a 100% slope corresponds to a 45° angle.
The steepest route you are initially taking has a 10° slope. When the branch trail diverts at a 45° angle from your path, this is not the angle of ascent but rather the angle between the two paths. If we consider a straight climb as a slope of 90°, your ascent angle would not change as it is still 10°. The branch trail effectively shifts direction but not necessarily the steepness of the path. Hence, the angle of ascent for the branch trail would also be 10°, assuming it maintains the same steepness as your original path.
Hello! Keith's dog weighs 90 pounds. A healthy weight for his dog would be less than 75 pounds. If Keith's dog can lose an average of 1.25 pounds per week on a certain diet, after how long will the dog reach healthy weight?
Answers
In this mathematical problem involving weight reduction over time, Keith's dog has to lose 15 pounds to reach a healthy weight. If the dog can lose an average of 1.25 pounds per week, it would take the dog 12 weeks to achieve the desired weight.
Explanation:The subject of the question is Mathematics, specifically a problem concerning weight loss over time, which is a real-world application of arithmetic and rate problems. In the given scenario, Keith's dog weighs 90 pounds, and the desired healthy weight is less than 75 pounds. Therefore, the dog needs to lose a total of 15 pounds. Given the dog can lose an average of 1.25 pounds per week, we can calculate the number of weeks it would take for the dog to reach a healthy weight.
Step 1: Identify the total amount of weight to be lost, which is the difference between the current weight and desired weight. This is calculated as 90 pounds - 75 pounds = 15 pounds.
Step 2: Divide the total weight to be lost by the average weight loss per week. This is calculated as 15 pounds ÷ 1.25 pounds per week = 12 weeks.
Therefore, it would take the dog 12 weeks to reach a healthy weight if he loses an average of 1.25 pounds per week.
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The perimeter of triangle ABC is 54 inches. Find the length of each side. A right triangle. The vertices of the triangle are labeled A, B, and C. Leg AB is labeled 3x. Leg BC is labeled 4x. Side AC is the hypotenuse and is labeled 5x.
Answers
54=12x
x=4.5
AB-3(4.5)=13.5
BC-4(4.5)=18
AC-5(4.5)=22.5
Katie earned $1890 in 7 years on an investment at a 6% annual simple interest rate. How much was Katie’s investment?
Answers
[tex] \frac{100}{6} [/tex] = $4500
Your answer is $4500
Hope it helped
What is the equation of the axis of symmetry of the graph of y + 3x – 6 = –3(x – 2)2 + 4?
A: x=3/2
B: x=-1/6
C: x=-1/2
D: x=-3/2
Answers
y + 3x - 6 = -3(x-2)² + 4
y + 3x - 6 = -3 ( x²-4x+4) + 4
y + 3x - 6 = -3x² + 12x -12 + 4
y + 3x - 6 = -3x² + 12x -8
y = -3x² + 12x - 3x -8 + 6
y = -3x² + 9x -2
(a=-3, b=9, c=-2)
Axis of symmetry = -b/2a = -9/2(-3) = -9 / -6 = -3 / -2 = 3/2
Hence, option A) x=3/2 is the correct answer.
explain, in complete sentences, three steps one could take to pay off their debts?
Answers
2. Pay off the most expensive debt first. Look at the interest rates of all of the credit cards you use to make purchases and sort them from highest to lowest. By paying off the balance with the highest interest first, you increase your payment on the credit card with the highest annual percentage rate while continuing to make the minimum payment on the rest of your credit cards.
3. Lower your interest rate. You can often lower your credit card interest rates by doing a balance transfer. This means moving your credit card to another bank that might lower the interest rate to get your business. Shop around and try to get the lowest interest rate for the longest duration (preferably until the debt is paid off completely). Just make sure you fight the temptation to use that new card, and commit to paying off the balance you moved over in a timely manner.
If p^ is equal to 0.86, then q^ is equal to ______.
Answers
What is the x-intercept of the equation 2x-6y=12?
Answers
2x = 12
x = 6
Cristiano Ronaldo has a messy house. He hires a maid to clean his house for $125 per visit.
Part A:Write a function to represent the total cost Cristiano spends having his house cleaned.
Part B: Define the input and output in the given scenario.
Answers
Answer: y (x)= 125 x
input : number of visits "x"
output :total cost "y"
Step-by-step explanation:
Hi, to answer this question we have to write an equation with the information given:
Cost per visit: $125So, to obtain the total cost (y) we have to multiply the cost per visit by the number of visits (x)
y (x)= 125 x
Where the input is the number of visits "x" and the output is the total cost "y"
Feel free to ask for more if needed or if you did not understand something.
Help please!!
Solve for r.
p = 4r + 3t
A) r =
p - 3t
4
B) r =
p - 4t
3
C) r =
p + 3t
4
Eliminate
D) r =
p + 4t
3
Answers
4r=p-3t
r=p-3t/4
A cell phone carrier offers two plans for text messaging. Plan A costs $20 per month plus $0.05 per text. Plan B costs $10 per month plus $0.10 per text. For how many text messages per month are the plans the same cost?
Answers
Answer:
200 texts = same costs
Step-by-step explanation:
Plan A: 20 + (.05 x 200)
20 + 10 =30
Plan B 10 + (.10 x 200)
10 + 20 = 30
what is 9(x+86x)-800+900x
Answers
Let's simplify step-by-step.
9(x−866x)(800)+900x
=−6228000x+900x
Combine Like Terms:
=−6228000x+900x
=(−6228000x+900x)
=−6227100x
Answer:
=−6227100x
Hope This Helps!
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~GlitterWolfy~
@bobross plz help I have another question
A particle moves on a line away from its initial position so that after t hours it is s = 6t^2 + 2t miles from its initial position. Find the average velocity of the particle over the interval [1, 4]. Include units in your answer.
Answers
Answer:
Average velocity is 32 miles/hr.
Step-by-step explanation:
Given that a particle moves on a line away from its initial position so that after t hours it is [tex]s=6t^2+2t[/tex] miles from its initial position.
We have to find the average velocity of the particle over the interval [1, 4].
As, average velocity is the change is position over the change in time.
[tex]s(4)=6(4)^2+2(4)=104[/tex]
[tex]s(1)=6(1)^2+2(1)=8[/tex]
∴ [tex]\text{Average Velocity=}\frac{s(4)-s(1)}{4-1}[/tex]
=[tex]\frac{104-8}{3}=\frac{96}{3}=32miles/hr[/tex]
Hence, average velocity is 32 miles/hr.
The average velocity of the particle is [tex]\boxed{{\mathbf{21 units}}}[/tex] .
Further explanation:
Velocity is the speed of an object in a given direction. Velocity is the vector quantity.
The average velocity can be calculated as,
[tex]{\text{average velocity}}=\frac{{{\text{distance travelled}}}}{{{\text{time taken}}}}[/tex]
Given:
The position of the particle after [tex]t[/tex] hours is [tex]s\left(t\right)=4{t^2}+t[/tex] . The given interval is [tex]\left[{1,4}\right][/tex] .
Step by step explanation:
Step 1:
The position of the particle after [tex]t[/tex] hours is [tex]s\left(t\right)=4{t^2}+t[/tex]
First we need to find the distance travelled in the interval of [tex]\left[{1,4}\right][/tex] .
The distance travelled by the particle at [tex]t=1[/tex] is as follows,
[tex]\begin{gathered}s\left(t\right)=4{\left(t\right)^2}+t\hfill\\s\left(1\right)=4{\left(1\right)^2}+1\hfill\\s\left( 1 \right)=5\hfill\\\end{gathered}[/tex]
The distance travelled by the particle at [tex]t=4[/tex] is as follows,
[tex]\begin{gathered}s\left(t\right)=4{\left(t\right)^2}+t\hfill\\s\left(4\right)=4{\left(4\right)^2}+1\hfill\\s\left( 1 \right)=68\hfill\\\end{gathered}[/tex]
Now find the distance travelled by the particle in the interval of [tex]\left[{1,4}\right][/tex] .
[tex]\begin{aligned}{\text{distance travelled}}&=s\left(4\right)-s\left(1\right)\\&=68-5\\&=63\\\end{aligned}[/tex]
Step 2:
The given interval is [tex]\left[{1,4}\right][/tex] .
Now we need to find the time as,
[tex]\begin{aligned}{\text{time elapsed}}&=4-1\\&=3\\\end{aligned}[/tex]
Step 3:
Now we find the average velocity of the particle.
The average velocity can be calculated as,
[tex]\begin{aligned}{\text{average velocity}}&=\frac{{{\text{distance travelled}}}}{{{\text{time taken}}}}\\&=\frac{{63}}{3}\\&=21{\text{units}}\\\end{aligned}[/tex]
Therefore, the average velocity of the particle is [tex]21{\text{ units}}[/tex] .
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Answer details:
Grade: High school
Subject: Mathematics
Chapter: Speed, distance and time
Keywords: velocity, initial position, particle, moves, interval, distance travelled, time elapsed, position, average velocity, units, vector quantity, speed, direction, hours.
Bob climbed down a ladder from his roof, while Rob climbed up another ladder next to him. Each ladder had 30 rungs. Thrir friend Jill recorded the following information about Bob and Rob: Bob Went down 2 rungs every second .Rob went up 1 rung every second . At some point , Bob and Rob were at the same height. Which rung were they on ?
Answers
passes while they climb.
.
Bob starts at rung 30 and goes down at a rate of -2 rungs per second. So the equation for
Bob's height is:
.
H = -2*t + 30
.
Meanwhile, Rob starts at rung 0 and goes up at a rate of +1 rung per second. So the equation
for Rob's height is:
.
H = t + 0 = t
.
You are interested in finding the height (in rungs) where the two will be standing on
the same rung. Since the two heights are the same, we can set the right sides of our two
height equations equal. So we can say that:
.
-2*t + 30 = t
.
To solve this equation for t, first get rid of the 30 on the left side by subtracting
30 from both sides of the equation. This subtraction converts the equation to:
.
-2*t = t - 30
.
Next get rid of the t on the right side by subtracting t from both sides. The equation then
becomes:
.
-3*t = -30
.
Solve for t by dividing both sides of this equation by -3 to find that:
.
t = -30/-3 = 10 seconds
.
In 10 seconds Rob will have climbed to rung number 10 because he climbs at 1 rung per
second. And in 10 seconds at a rate of 2 rungs per second Bob will climb down 20 rungs. But
Bob started on rung 30 so he will be at rung 10 also because 30 - 20 = 10.
.
Hope this helps you to understand the problem a little better.
The problem involves finding the time and the rung at which Bob and Rob meet. They both meet on the 10th rung after 10 seconds of Bob's descent and Rob's ascend on their ladders, moving at their respective rates.
Explanation:In this problem, we are asked to find the rung at which both Bob and Rob meet. Each ladder has 30 rungs. Bob is descending from 30 rungs, moving down 2 rungs every second. Rob is ascending from 0 rungs, moving up 1 rung every second. To determine where they meet, we need to find the time at which the rungs they're on coincide.
Bob goes down 2 rungs per second, so in 't' seconds Bob will be on the 30 - 2t rung. Similarly, Rob goes up 1 rung per second, so in 't' seconds Rob will be on the t rung. They meet when 30 - 2t equals t. Solving this equation gives us that t equals 10 seconds.
So at 10 seconds, they meet & the rung they're on is t = 10. Hence, Bob and Rob meet on the 10th rung.
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A customer went to a garden shop and bought some potting soil for 12.50 and 5 shrubs.The total bill was 62.50. Write and solve and equation to find the price of each shrub
Answers
s - the price of one shrub
p - the price of potting soil
p = 12.50
The total bill for 1 potting soil and 5 shrubs was 62.50:
p + 5s = 62.50
12.50 + 5s = 62.50
5s = 62.50 - 12.50
5s = 50.00
s = 50.00 : 5
s = 10.00
What is the equation of the line that has a y-intercept of -7 and is perpendicular to the line represented by the equation below? 8x 7y=19
Answers
- 8x
7y = 19 - 8x
÷ 7
y = 2 5/7 - 8/7x
So if that line is perpendicular to the line you're looking for, then the gradient (x value/slope) is the negative reciprocal to the gradient you're looking for, which would then be 7/8. You are told it has a y intercept of -7, so your final answer is:
y = -7/8x - 7
Hope this helps!
Answer: red sus tbh
Step-by-step explanation: