Answer:
AC is perpendicular to BD.
Further explanation
We observe that both the ABC triangle and the ADC triangle have the same AC side length. Therefore we know that is reflexive.
The length of the base of the triangle is the same, i.e., .
In order to prove the triangles congruent using the SAS congruence postulate, we need the other information, namely . Thus we get ∠ACB = ∠ACD = 90°.
Conclusions for the SAS Congruent Postulate from this problem:
∠ACB = ∠ACD
- - - - - - - - - -
The following is not other or additional information along with the reasons.
∠CBA = ∠CDA no, because that is AAS with ∠ACB = ∠ACD and
∠BAC = ∠DAC no, because that is ASA with and ∠ACB = ∠ACD.
no, because already marked.
- - - - - - - - - -
Notes
The SAS (Side-Angle-Side) postulate for the congruent triangles: two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle; the included angle properly represents the angle formed by two sides.
The ASA (Angle-Side-Angle) postulate for the congruent triangles: two angles and the included side of one triangle are congruent to two angles and the included side of another triangle; the included side properly represents the side between the vertices of the two angles.
The SSS (Side-Side-Side) postulate for the congruent triangles: all three sides in one triangle are congruent to the corresponding sides within the other.
The AAS (Angle-Angle-Side) postulate for the congruent triangles: two pairs of corresponding angles and a pair of opposite sides are equal in both triangles.
Learn more
Which shows two triangles that are congruent by ASA? brainly.com/question/8876876
Step-by-step explanation:
You are going on vacation. You have $105 to take with you. You expect to spend $15 each day. You want to have $30 remaining at the end of the vacation. Write an explicit formula to represent this scenario. For how many days can you spend $15 a day?
Answer:
105-15x=30
5 days
You can spend the amount of $15 a day for 5 days if you have $105 to take with you.
What is a numerical expression?A numerical expression is algebraic information stated in the form of numbers and variables that are unknown. Information can is used to generate numerical expressions.
You're going on vacation. You have $105 with you. You plan to spend $15 per day. You want to have $30 left at the end of your trip.
Let the number of days would be x
According to the given information, the required solution would be as
105 - 15x = 30
The above explicit formula represents the given scenario.
105 - 15x = 30
Rearrange the terms in the above equation,
15x = 105 - 30
Apply the subtraction operation,
15x = 75
x = 75/5
Apply the division operation,
x = 5
Therefore, you can spend the amount of $15 a day for 5 days.
To learn more about numerical expression click here :
https://brainly.com/question/6037813
#SPJ2
Put the following equation of a line into slope-intercept form, simplify all fractions 8x + 20y = -120
Hello there! :)
8x+20y=-120
We want to put this equation into slope-intercept form (y=mx+b)
First, let's move 8x to the right side:
20y=-120-8x
Now, we divide both sides by 20 to isolate y:
y=-8/20-6
Simplify the fraction:
y=-2/5-6
Hence, that's our equation. Hope it helps you! (:
If you have any queries, feel free to ask me! :)
~A smiley teen who adores helping others
[tex]MagicalNature[/tex]
An electrician cuts 28 feet piece wire into two pieces one piece is 4 feet longer than the other how long are the pieces
!!!!5 step plan!!!!!
Answer:
12 and 16
Step-by-step explanation:
Turn it into algebra.
Make one of the pieces x. So x+4 is the piece that is 4 feet longer and x is the piece that it is 4 feet longer than.
So x+4+x=28, which is the total length, and if you simplify it, it makes 2x+4=28.
Then you just solve it, so do 28-4=24, and then divide that by 2, which gets 12.
Then you substitute 12 where x has been substituted for the pieces.
One piece is x feet, so that just stays 12, and another piece is x+4, so 12+4 which is 16.
To make sure it's correct, you can check it by doing 16-12=4 and add 12 and 16 together which gets the correct total of 28.
GIVING BRAINLIEST!!!!!!!!
[tex]\red{\bold{Answer:}}[/tex]
The Inverse variation of the total stopping distance and the force of the pavement to determine the speed the car travelling.
#BrainlyFast
#CarryOnLearning
(≡^∇^≡)
Sales tax in a certain community is 7%. If the sales tax on a new car was $1,400, what was the selling price of the car
Answer:
20,000
Step-by-step explanation:
Answer:
%7 1400
100 x
7x=140000
x=20000$
what is 5 minutes to four and how?
Answer:
4 minutes to 4 is actually 3 56 am or pm
Step-by-step explanation:
it simply means you are left with 1 2 3 4 minutes only till is 4 o'clock
please answer this question i’m literlly failing and don’t know how to do this
Answer:
6 or 3 because my is the opposite of yx so I would think it'll be 6 or 3
4f2 + 3h - g+f
A. 7fhg
B. 4f + 3hgf
C. Can’t be simplified
D. 5f2 + 3h - g
Answer:
can't be simplified or you can add you get the answer
8.3g of sugar is needed for every cake made. How much sugar is needed for 5 cakes?
Answer:
41.5g of sugar
Step-by-step explanation:
8.3 x 5
What is the image of the point. (6, – 7) after a rotation of 180° counterclockwise
about the origin?
Answer:
(-6,7)
Step-by-step explanation:
The rotation is 180 degrees, so its means that the direction (clockwise vs counterclockwise) doesn't actually matter. With a rotation of 180 degrees, the preimage is switched to the opposite side of both the y and x-axis. This means that the rule for rotation around 180 is (-h,-k). Therefore, the answer will have the opposite signs. Thus. the image of (6,-7) is (-6,7).
Answer:
(-6, 7)
Step-by-step explanation:
the original and new points are both six units above/below the x-axis and 7 units to the right/left of the y-axis
What type of angle is 19 degrees
Answer:
Obtuse Angle
Step-by-step explanation:
Answer:
Acute
Step-by-step explanation:
Please help me this is due tomorrow.
Answer:
C
Step-by-step explanation:
The domain of a function is a set of values that make the function real and defined. No matter what number you substitute as x, the result is always real. Hence, the domain would be from negative infinity to positive infinity.
Answer: I think it’s D
Step-by-step explanation:
Nestle Crunches cost 30 cents and Snickers cost 50 cents. Jessica and Tori
treated the class and they spent $6.80. How many students had Snickers if these
numbered 4 less than those who had Nestle Crunches?
Answer:
7 students had SnickersStep-by-step explanation:
Nestle Crunches - nSnickers - sSystem of equations according to given:
30n + 50s = 680 (converted $6.80 into 680¢)n = s + 4Substitute n into first equation and solve for s:
30(s + 4) + 50s = 68030s + 120 + 50s = 68080s = 680 - 12080s = 560s = 560/80s = 7Equations are
0.30x+0.50y=6.80=>30x+50y=680--(1)x=4+y=>x-y=4-(2)[/tex]EQUATION(2)× 30
[tex]\\ \sf\longmapsto 30x-30y=120--(3)[/tex]
Subtracting (1) and (3)
[tex]\\ \sf\longmapsto 80y=560[/tex]
[tex]\\ \sf\longmapsto y=7[/tex]
* THIS IS A WARM UP*
First level: Easy
What is −12 4/3 + −5 2/1? Write your answer as a mixed number in simplest terms.
Good luck middle schoolers or anyone
=》The answer is -61/3 = -20.333
Steps are in the attachment.
Note :-
=》The LCM is 3.
_______
Hope it helps ⚜ :))
To go to school in the morning. I first walk to the garden shed at 6 km/h to collect my bicycle. I then cycle to school at 15 km/h. The total journey normally takes 18.5 minutes, One day, I am lote and I run to the shed at 18 km/h and cycle at 27 km/h. The journey takes me 10 min 10 s. How far is it from my house to the garden shed?
Answer:
1
Step-by-step explanation:
Answer:
Trip A from House to Shed is 0.062 km
Trip B from Shed to School is 4.47 km
Step-by-step explanation:
Set up a table (attached) that summarizes and organizes the data. Let A be the distance from the hosue (I assume) to the shed, and B the distance from the shed to the school. We know that distance = (speed)*(time).
The total time for a trip is the sum of the two segments, A and B, divided by the speed for each segment.
TRIPS
1 2
House/Shed A 6 18 km/hr
Shed/School B 15 27 km/hr
18'30" 10'10" min
18.5 10.16 min
0.308 0.169 hr [Convert the minutes into hours]
[The distance divided by the speed will give the time required for each segment, A and B].
Trip 1: 1) A/6 + B/15 = 0.308
Trip 2: 2) A/18 + B/27 = 0.169
Trip 1: A/6 + B/15 = 0.308
A + (6/15)B = 1.85 [Multiply each side by 6]
A = 1.85 - (6/15)B [Rearrange]
A = 1.85 - (0.4)B [This will be the defination of A we'll use in the second equation]
Trip2: A/18 + B/27 = 0.169
(1.85 - (0.4)B)/18 + B/27 = 0.169 [Use A= 1.85 - (0.4)B from above]
27(1.85 - 0.4B)/18 + B = 27*(0.169) [Multiply each side by 27]
1.5*(1.85-0.4B) + B = 4.58
2.78 - 0.6B + B = 4.58
0.4B = 1.85
B = 4.47 km
Now use B = 4.47 km in either original equation to find A.
A/18 + B/27 = 0.169
A + (18/27)B = 18*(0.169) {Multiply both sides by 18]
A + (0.67)B = 3.042
A + (0.67)(4.47) = 3.042
A + (2.98) = 3.042
A = 0.062 km
Trip A from House to Shed is 0.062 km
Trip B from Shed to School is 4.47 km
four w plus ten equals negative w
Answer:
4w+10=-w
w=-2
Step-by-step explanation:
First, write out the equation in the algebraic form to make it easier to solve. This equation written out is 4w+10=-w. Then, isolate the variable and solve. Do this by subtracting 4w from both sides. Then, divide both sides by -5.
4w+10=-w10=-5w-2=wAnybody know the answer and how did you get it
Answer:
so I'm guessing you're solving for x
because angle 2 is the vertical angle to angle 3 so this means that they are congruent
4x-26=3x+4
4x-3x=4+26
x=30
Which sequence is geometric?
Group of answer choices
-2, 1, 6, 13...
-1, 2, 7, 14
-4, 20, -100, 500...
-7, 7, 21, 35...
Hi there! :)
A geometric sequence is a sequence where we use multiplication or division to get to the next term.
We use multiplication in the third sequence (we multiply by -5)
So the answer is Option C
Hope it helps
~Just a gloomy teen who misses her best friend
#CarryOnLearning
[tex]SilentNature[/tex]
5 (m - 3) = 40
What do 5m and m represent?
(Quick Question I NEED REAL QUICK!)
(Thanks)
[tex]5(m -3 ) = 40 \\ = > 5m - 15 = 40 \\ = > 5m = 40 + 15 \\ = > 5m = 55 \\ = > m = 11[/tex]
Therefore, m = 11
5m = 5 × 11 = 55
Answers5m is 55, m is 11.
Hope it helps.
Do comment if you have any query.
Answer:
m=11
5m=55
Step-by-step explanation:
To find the answer to this question, isolate m. Do this by using the properties of equality.
First, distribute the 5 to the terms within the parentheses
5m-15=40Then, add 15 to both sides
5m=55Next, divide both sides by 5
m=11This gives you the solution to both questions. If you want to check the answer, simply plug the variable back in. This gives you, 5(11-3)=40. Once solved this equals 40=40. Therefore, 11 is correct.
Help please! If a bot answers pls ignore!
Answer:
3.70
Step-by-step explanation:
Answer:
a. $58.75
b. 3.75p +5.00d
Step-by-step explanation:
As with any sort of purchase, the cost for a number of items of the same kind is the product of the number of items and the cost of each. For several different items, the total cost is the sum of the costs of each of the kinds of items. If you do any shopping, you know this.
a.5 popcorn and 8 drinks cost 5($3.75) +8($5.00) = $18.75 +40.00 = $58.75
__
b.p popcorn and d drinks cost p($3.75) +d($5.00) = 3.75p +5.00d . . . . dollars
0.9 is the result of finding the product of 2 and 34 minus a number.
Answer:
The answer is 3/10
Step-by-step explanation:
I took the test using K-12
Sorry if it is late.
What expression is equivalent to 42+18
I think the answer is 20+40...
if f(x)=4x+3 and g(x)=x^2-3 what is f(g(4))
[tex]\text{Given that ,}\\\\f(x) = 4x+3\\\\g(x) = x^2 -3\\\\g(4) = 4^2 - 3 = 16-3=13\\\\f (g(4)) = f(13) = 4\times 13 + 3 = 55[/tex]
Answer 5 and 6 please
Answer: 5) F:(1,-1)
6) W:(-3,-2)
Step-by-step explanation:
A zebra can run at a constant speed of 0.60 miles per minute. How far can a zebra run in 30 minutes? Choose the equation that could be used to answer this question
Answer:
0.6x30=18
Step-by-step explanation:
18 miles would be how far it ran.
You didn't give us any answer choices for which equation, so I would say the equation I wrote could work.
Answer:
0.6 × 30 = 18
Step-by-step explanation:
You multiply the two values to get 18:
0.6 * 30 = 18
Hope that helps! :)
plz help will mark as brainliest
Answer:
the three sides are 8, 12 and 16
Step-by-step explanation:
since the ratio is in 2:3:4, we need to work out each side individually so add them=2+3+4=9
9n=36, n=4
2:3:4
2 × 4 = 8
3 × 4 = 12
4 × 4 = 16
Write an equation in slope-intercept form of the line shown. (-6, 4) (-2, 2)
x+2y - 3z =15. 2x – 2z=6 x = 3. 2/3)-22 i dont know this answer pls help me???
Answer(s):
Exact Form: x + 2 y − 3 z = 15 , 2 x − 2 z = 6 , 3 2 3
Mixed Number Form: x + 2 y − 3 z = 15 , 2 x − 2 z = 6 , 3 2 3
Improper Fraction Form: x + 2 y − 3 z = 15 , 2 x − 2 z = 6 , 11 3
Decimal Form: x + 2 y − 3 z = 15 , 2 x − 2 z = 6 , 3. ¯ 6
Hope this helps, have a nice day/night! :D
There were m balloons at the beginning of a party. By the end of the party, 4 of them had popped. Using m, write an expression for the number of balloons that were left. Please help! <3
Answer:
m - 4
Step-by-step explanation:
So, m amount of balloons at the beginning.
When 4 pop, that means there are 4 less than the beginning.
m - 4
What is the slope and y-intercept of the equation 3x + 2y + 18 = 0
Answer:
Slope: -3/2
Y-Intercept: (0,-9)
Step-by-step explanation: