Taking point Z as the origin, the coordinates of the points on ΔBAD are
given by changing the sign of the coordinates of points in ΔDCB.
The angle that is congruent to ∠DBA is; D. ∠BDCReasons:
The given parameters are;
Triangle ΔBAD is the image of ΔDCB following a rotation of 180°.
Required:
The angle congruent to ∠DBA.
Solution:
Given that the rotation of triangle DCB is 180°, we have that the
coordinates of a point (x, y) in ΔDCB is (-x, -y) in ΔDBA.
Therefore, side DC is parallel to side AB
Which gives;
∠DBA is congruent to ∠BDC by alternate interior angles theorem.
∠DBA ≅ ∠BDC
The angle that is congruent to ∠DBA is; option D. ∠BDC
Learn more about rotation transformation here:
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Part B
If a company was charged $16.25 to deliver sneakers, what was the distance of the delivery ride?
Show work that supports your answer. (2 points)
Part A: Write the function rule (equation) for describing the total rate y as a
function of the total miles x.*
What is the answer
Answer:
Step-by-step explanation:
Part A:
y=1.5x+4.25
Part B:
16.25=1.5x+4.25
Minus 4.25 from both sides
12=1.5x
Divide both sides by 1.5 and you will get x=8
8(3x – 6) = 6(4x + 8)
Answer:
0=96
Step-by-step explanation:
8 x 3x= 24x 8 x- 6= -48 6 x 4x=24x 6x 8=48
24x -48= 24x+48
24x-24x= 48 +48
0= 96
What type of number is ?
Choose all answers that apply:
A
Whole number
00
B
Integer
С
Rational
D
Irrational
Answer:
Irrational Number
Step-by-step explanation:
Mark as brainliest if correct
simplify the quotient. Write the answer in sn.
Answer:
2.4*10^4
Step-by-step explanation:
write in scientific notation
first i would simplify the 3.6/1.5
=2.4
then you get (2.4*10^7)/10^3
formula: (m^x)/(m^y)= m^(x-y)
(2.4*10^7)/10^3
=2.4*10^(7-3)/1
=2.4*10^4
Plz help me with this
Answer:
sorry cant see the question
Step-by-step explanation:
In Need of help please Help :c
Answer:
proportional: A, B, D, G, Inon-proportional: C, E, F, HStep-by-step explanation:
Any relation with a non-zero initial value or y-intercept is non-proportional. Any relation that has a constant ratio between output and input is proportional.
C has an initial value of 7
E has a y-intercept of -3
F has an initial value of 2.00
H has an initial value of 5
All of these are non-proportional. The remainder are proportional.
The areas of two similar
squares are 16 m2 and 49 m2.
What is the scale factor of
their side lengths?
[?]:[ ]
Answer:
4:7
Step-by-step explanation:
We know that
Area of square = s²
For square 1
16 = s²
√16 = s
4 = s
For square 2
49 = s²
√49 = s
7 = s
Scale factor = 4:7
Find the value of x.
Answer:
x = 12
Step-by-step explanation:
Angle Bisector Theorem: PS / PQ = RS / QR
24/14 = x/7
cross-multiply:
14x = 168
x = 12
A triangle has two sides of length 6 and 18. What is the smallest possible whole-number length for the third side?
Answer:
Step-by-step explanation:
A triangle has two sides of length 14 and 5. What is the largest possible whole-number length for the third side?
Answer:
11 units
Step-by-step explanation:
Between 18-8 = 10 and 18+8 = 26, the smallest integer number INSIDE this interval is 11.
Anthony is gathering workout clothes. There are 4 pairs of running shoes and 10 workout shirts to choose from. How many different workout outfits can Anthony make?
Answer:
40
Step-by-step explanation:
Find the equation of a line perpendicular to y - 1= -x that passes through the
point (-4,-8).
1.) y = x - 4
2.) y = -x - 4
3.) y = -x - 1
4.) y = x - 1
Answer:
4
Step-by-step explanation:
firstly you separate y
y=-x-1
which means that the slope is equal to -1
then you flip the slope so -1 over -1 which is equal 1
Solve for m.
35m>−30
m>−50
m<−50
m>−18
m<−18
[tex]35m>-30\\\\\implies \dfrac{35m}{35}>-\dfrac{30}{35}\\\\\implies m>-\dfrac{6}{7}[/tex]
two hundred and seven thousand in standard form
Answer:
7,200
Step-by-step explanation:
I hope this helps!
pls help this a math question. image below
Answer:
D
Step-by-step explanation:
Same X, but different Y value, it is five apart in D
In a relation y = 2t + 1, what is the value of y if t = 7
Answer:
If t = 7, y = 16
Step-by-step explanation:
y = 2t + 1
y = 2(7) + 1
y = 14 + 1
y = 15
549.5 to 1 decimal place
Answer:
It is still 549.5
Step-by-step explanation:
Rounding to 1 decimal place is just rounding by the tenth place
So it is still 549.5
Hope this helps!
Is this the right question
Answer:
no, ssa is the incorrect one
Two airplanes leave an airport at the same time and travel in opposite directions. One plane travels 68 km/h faster than the other. If the two planes are 5052 kilometers apart after 3 hours, what is the rate of each plane?
Step-by-step explanation:
the slower plane travels x km in 3 hours.
the faster plane travels x + 3×68 = x + 204 km in 3 hours.
x + x + 204 = 5052 km
2x = 4848 km
x = 2424 km (in 3 hours).
so, the slower plane's speed is 808 km/h.
the faster plane's speed is 808 + 68 = 876 km/h.
help ASAP please hmmmm
Answer:
It has to be D.
Solve for x.
-8 =X/4
x = −32
lllllllllllllllllllllllllllllllllllllllllll
Determine the two positive integers each square root falls between.
10. ✔️28
11. ✔️3
12. ✔️59
13. ✔️115
14. ✔️772
15. ✔️140
Answer:
10. (5, 6)
11. (1, 2)
12. (7, 8)
13. (10, 11)
14. (27, 28)
15. (11, 12)
Step-by-step explanation:
If you're not familiar with the squares of small integers, your calculator can help you figure this.
10. √28 ≈ 5.291 . . . . between 5 and 6
11. √3 ≈ 1.732 . . . . between 1 and 2
12. √59 ≈ 7.681 . . . . between 7 and 8
13. √115 ≈ 10.724 . . . between 10 and 11
14. √772 ≈ 27.785 . . . . between 27 and 28
15. √140 ≈ 11.832 . . . . between 11 and 12
It would be appreciated if there could be an explanation along the answer
Answer:
i think probably 80°
Step-by-step explanation:
PQ = RS
2x+3 = 4x-3
x = 3
PTQ = RTS
9y-3x-1 = 5x+7y-5
2y-8x = -4
y-4x = -2
y-4(3) = -2
y-12 = -2
y = -2+12
y = 10
so PTQ = 9y-3x-1
9(10)-3(3)-1
90-9-1
80°
What is the value of r in the equation −4/3r − 1 = −2 ?
Answer:
r = 3/4
Step-by-step explanation:
help pls will give brainliest
Answer:
$100-5(15) aka $25 still owed
How I can answer this question, NO LINKS, if you answer correctly I will give u brainliest!
Answer:
It is the first one.
if x is reduced by 25%. the result will be
[tex]\huge\color{skyblue}\boxed{\colorbox{black}{Answer♡}}[/tex]
[tex]a \: number \: x \: is \: reduced \: by \: 25\%[/tex]
[tex]25\% \: of \: x \: means \: ( \frac{25}{100} )(x) = 0.25x \\ \\=> x - 0.25x \\ = > 0.75x[/tex]
hope helpful~
The reduced quantity if x is reduced by 25% is 0.75x.
What is percentage?A percentage, often known as percent, is a division by 100. Percentage, which means "per 100," designates a portion of a total sum. 45 out of 100 is represented by 45%, for instance. Finding the percentage of a whole in terms of 100 is what percentage calculation is. Both manual calculation and the use of internet calculators are options.
Given:
x is reduced by 25%,
Calculate the 25% of x as shown below,
25 / 100 × x
0.25x
Calculate the reduced quantity,
Reduced quantity = x - 0.25x
Reduced quantity = x(1 - 0.25)
Reduced quantity = 0.75x
To know more about percentages:
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A drilling team detected water 38 feet below the ground. If it took workers 8 days to be able to dig and pull up the water, how much did they dig each day on average? Form an equation
Answer: 38 divided by 8 which would equal 4.75 or 4 3/4 feet each day.
Step-by-step explanation: You divide the amount of total feet by the amount of days it took.
True or False. If true, give a convincing argument. If false, explain why it is false. Be sure to use mathematical language in your explanation.
As an airplane flies toward you, its angle of elevation increases.
Answer:
True.
Step-by-step explanation:
We assume that the plane is flying at a constant height above the ground.
The angle of elevation is the angle made between the plane, you and the point on the ground directly below the plane. As the plane approaches you the distance between you and the point on the ground decreases and therefore the angle of elevation increases.
How to solve the function problem for this one?
Answer:
a. f(12) = - 1
b. x = 27 when f(x) = 4
Step-by-step explanation:
We are given that [tex]f(x)=\frac{1}{3} x-5[/tex] and we want to find f(12) and f(x) = 4
To find f(12) we simply plug in 12 into x and evaluate it
[tex]f(x)=\frac{1}{3} x-5[/tex]
plug in 12
[tex]f(12)=\frac{1}{3} (12)-5[/tex]
multiply 12 and 1/3 to get 4
[tex]f(12)=4-5[/tex]
subtract 5 from 4 to get -1
[tex]f(12)=-1[/tex]
Now we want to find the value of x when f(x) = 4
To do this we substitute 4 for f(x) and solve for x
[tex]f(x)=\frac{1}{3} x-5[/tex]
substitute 4 for f(x) and solve for x
[tex]4=\frac{1}{3}x -5[/tex]
add 5 to both sides
[tex]9=\frac{1}{3} x[/tex]
multiply both sides by 3
27 = x
And we are done.
So f(12) = -1 and x = 27 when f(x) = 4
For a plug in 12 for x:
f(12) = 1/3(12)-5
f(12) = 4-5
f(12) = -1
For b plug in 4 for x:
f(4) = 1/3(4)-5
f(4) = 4/3 -5
f(4) = 0.75-5
f(4)= -4.25
What is the approximate value of b?