Is A ABC similar to A DEF? Why or why not?
B
E
8 ft
95
6 ft
95°
d
25°
60°
25°
60°
А
10 ft
F
CD
7.5 ft
#
Choice
A.
Yes, because the angles are congruent and the sides are
proportional
B.
Yes, because if at least one pair of angles are equal, the
triangles are similar.
C.
No, because although the angles are congruent, the sides are
not.
D.
We cannot tell because the third side is not given.
A
B
С
D
Answer:
Its either A or B
Step-by-step explanation:
I am not sure tho
Answer:
B ,because they are similar
my teacher told me
I need help ASAP plzzzzzzzzzzzzz
Answer:
3/4
Step-by-step explanation:
Let's say that r is the radius of the large circle or the diameter of the small circle.
Area of the big circle is [tex]\pi r^{2}[/tex] .
Area of the small circle is [tex]\pi \frac{r}{2} ^{2} = \pi \frac{r^{2}}{4}[/tex].
The ratio of these 2 circles is 1/4 (calculation in the comments).
So the shaded part represent 1 - 1/4 = 3/4.
Find the value of each variable.
The two congruent base angles tell us that this triangle is isosceles, meaning it has two congruent sides. Therefore, we can set the two expressions equal to each other and solve from there.
9x - 73 = 3x + 23
6x - 73 = 23
6x = 96
x = 16
Side = 3(16) + 23 = 48 + 23 = 71
Hope this helps!
Answer:
x = 16
Step-by-step explanation:
Since the base angles are the same, the side lengths are the same
9x- 73 = 3x+23
Subtract 3x from each side
9x - 3x- 73 = 3x+23 -3x
6x- 73 = 23
Add 73 to each side
6x - 73 +73 = 23+73
6x = 96
Divide by 6
6x/6 = 96/6
x =16
Solve for “X”
a. 7/3 =X/49
Answer:
[tex]x = \frac{343}{3} [/tex]Step-by-step explanation:
Given,
[tex] \frac{7}{3} = \frac{x}{49} [/tex]
[tex] = > x = \frac{7}{3} \times 49[/tex]
[tex] = > x = \frac{343}{3} (ans)[/tex]
Answer:
343/3 or 114 1/3
Step-by-step explanation:
7/3 = x/49
Using cross products
3x = 7*49
3x =343
Divide by 3
3x/3 = 343/3
x =343/3
x =114 1/3
Triangle ABC is translated right 8 units and down 15 units to triangle XYZ. Triangle ABC
has these angle measures:
m∠A=45∘
m∠B=53∘
m∠C=82∘
What is the measure of angle Y?
9514 1404 393
Answer:
53°
Step-by-step explanation:
The names of the triangles indicate that angle B corresponds to angle Y. Translation does not affect side lengths or angle measures, so angle Y is the same measure as angle B.
m∠Y = 53°
Answer: 53
Step-by-step explanation:
help please coordinates for math
Answer: Slope = c / a + b
Concept:
Here, we need to know the idea of a slope.
In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line.
Slope = Rise / Run = Δy / Δx = (y₂ - y₁) / (x₂ - x₁)
Solve:
STEP ONE: Identify the points
A (0, 0)
C (a + b, c)
STEP TWO: Apply the formula
Slope = (y₂ - y₁) / (x₂ - x₁)
Slope = (c - 0) / (a + b - 0)
Slope = c / a + b
Hope this helps!! :)
Please let me know if you have any questions
I'LL GIVE BRAINLIEST ! ! ! ! ! !
The parabola x=√y-9 opens:
a. left
b. right
c. down
d. up
Answer:
UP
Step-by-step explanation:
x+9 = [tex]\sqrt{y}[/tex]
y = [tex]x^{2}[/tex] +18x + 81
Answer:
Up
Step-by-step explanation:
lol im giving a second answer so the other person can get brainliest :)
Find the perimeter of the following figure.
Answer:
10 meters
Step-by-step explanation:
Perimeter= 3+3+2+2
=10
Have a nice day:)
A cube with a volume of 216 cubic feet has all but the top and bottom faces painted. What is the total area of the two unpainted sides?
The volume of a cube is Side ^3
Find the cubic root of the volume to find the side length:
Side = cubicroot(216) = 6 feet.
The area of a face of a cube is s^2
Area of a face = 6^2 = 36 square feet.
Area of 2 faces = 36 x 2 = 72 square feet
Answer: 72 square feet
Answer:
72 ft²
Step-by-step explanation:
To find the length of each side we have to cube root the volume
∛216 = 6
We only have to find the areas for two faces (the top and bottom)
6 x 6 = 36 = area for one face
36 x 2 = 72 = area for two faces
The expression.1*e^0.0347t models.The balance in thousand of dollars where t represents time.In years after the account was opened. What does the 0.034 represent in this context? Write an expression for the number of years after which there will be 15,000 Dollars in the account?
Answer:
0.0347 = constant of proportionality
[tex]1 * e^{0.0347t} = 15000[/tex]
Step-by-step explanation:
Given
[tex]1*e^{0.0347t}[/tex]
Solving (a): what does 0.0347 represent?
An exponential model is represented as:
[tex]f(t) = a * e^{kt}[/tex]
Where:
[tex]k \to[/tex] constant of proportionality
So, by comparison:
[tex]k = 0.0347[/tex]
Hence:
[tex]0.0347 \to[/tex] constant of proportionality
Solving (b): Formula to calculate when balance equals 15000
To do this, we simply equate the formula to 15000.
So, we have:
[tex]1 * e^{0.0347t} = 15000[/tex]
15/2 divided by 5/3
Brainlest is one the line
Answer:
[tex] \frac{9}{2} [/tex]
Step-by-step explanation:
[tex] \frac{15}{2} \div \frac{5}{3} = \frac{15}{2} \times \frac{3}{5} = \frac{3}{2} \times \frac{3}{1} = \frac{9}{2} [/tex]
How to find interquartilte range
============================================================
Explanation:
Each x represents a data point location.
So, for example, having an x over 60 means 60 is part of the set.
The set of values we're working with is
{59,60,61,63,63,64,66,68,70,71,71,73}
The repeated values are due to the fact we have a stack of two 'x' markers, and they occur at 63 and 71.
To find the IQR (interquartile range), we'll first need to find the median of this set. That's the middle most value.
Count out the number of values to find that there are n = 12 values.
The list splits into two halves that are n/2 = 12/2 = 6 items each
Between slots 6 and 7 is where the median is located.
The value in slot 6 is 64 and the value in slot 7 is 66. Average those two items to get (64+66)/2 = 65
The median is 65
---------------------------------
Next, we'll form two groups L and U such that
L = set of items lower than the median
U = set of items larger than the median
Because n is even, we simply just break the original set into two equal groups (6 items each)
L = {59,60,61,63,63,64}
U = {66,68,70,71,71,73}
The values of Q1 and Q3 represent the medians of L and U in that order.
The median of set L is (61+63)/2 = 62, so Q1 = 62
The median of set U is (70+71)/2 = 70.5, which is Q3
-----------------------------------
To summarize everything so far, we have found
Q1 = 62Q3 = 70.5Subtract those items to get the IQR
IQR = Q3 - Q1
IQR = 70.5 - 62
IQR = 8.5 which points us to choice C as the final answer.
On the grid, sketch a graph to represent
Sandy's walk to school based on the
description below.
Sandy lives 200 m from school. One
morning she leaves for school at a
slow pace. On the way she meets a
friend and stops to talk för 10
minutes. Sandy realizes that she
forgot her homework and runs back
home to pick it up. It takes five
minutes to get home. Immediately she
heads back to school at a fast pace.
Answer:
Please find attached, the required graph created on MS Excel
Step-by-step explanation:
The distance between Sandy's house and the school = 200 m
The number of minutes Sandy talked to her friend for = 10 minutes
The time it took Sandy to return home to pick her homework = 5 minutes
Let x represent Sandy's location she stops to talk to her friend 10 minutes, we have;
The slope of the motion on the graph, m₁ = (x - 0)/(t - 0)
The slope of her motion running home to pick the up her homework, m₂ = (x - 0)/(5 - 0)
Given that t > 5, the slope on trip back home, m₁, is larger than are her initial slope, m₂
Therefore, where x = 125, we have;
The rate at which she returned home = m₂ = (125 m - 0)/(5 min - 0) = 25 m/min
Given that the same rate m₂ is what she used in heading back to school, we have;
The time it takes her to get to school = 200 m/(25 m/min) = 8 minutes
Therefore, whereby it took her 10 minutes to reach point x, we have the following coordinate points on the graph in a tabular form;
[tex]\begin{array}{ccc} Time \ (minutes) \ x-axis&&Distance \ (meters) \ y-axis\\0&&0\\10&&25\\15&&0\\23&&200\end{array}[/tex]
The plot of the above point is completed using MS Excel as shown in the attached diagram.
Solve for 2. Round to the nearest tenth of a degree, if necessary.
w
36
V
20
50
X
PLS HELP
Answer:
Step-by-step explanation:
This is classic right triangle trig. If you're solving for x, which you are, you have to consider how the given sides relate to that angle. The side with a length of 50 is opposite the angle x, while the side of length 36 is adjacent to angle x. The trig ratio that utilizes the sides opposite and adjacent is tangent; HOWEVER, we are looking for a missing angle. Finding missing angles on your calculator requires the 2nd button. To find the missing angle x, you are looking for the angle that has a tangent ratio of 50 over 36 (opposite over adjacent...Toa in SohCahToa). Hit the 2nd button on your calculator and then the tangent button (in degree mode, not radian mode) and you will see this on your screen:
[tex]tan^{-1}([/tex]
After the parenthesis, enter the fraction and then hit the enter button to get the angle measure in degrees:
[tex]tan^{-1}(\frac{50}{36})=54.2[/tex] degrees.
It's very important that you learn how to use your calculator to find the trig identities that give you the ratio in decimal form and how to find the missing angles. Missing angles always use the 2nd button along with whatever trig identity you are using.
Find the number of possible ways one can choose marbles from a bag containing three marbles: a) if the order is important b) if the order is not important.
Answer:
There are 3 marbles, that we assume are different.
Let's define them as marble 1, marble 2, and marble 3.
a) If the order is important, and we select the 3 marbles, then:
for the first marble, we have 3 options.
For the second marble, we have 2 options (because one is already taken)
for the third marble is only one option.
The total number of combinations is equal to the product between the numbers of options, so in this case, we have:
C = 3*2*1 = 6 combinations.
Now, if we only select 2 marbles from the bag, we have:
for the first marble, we have 3 options.
For the second marble, we have 2 options
Here the number of different combinations is:
C = 3*2 = 6 combinations.
And if we select only one marble from the bag, we have:
for the first marble, we have 3 options.
Then here are only 3 combinations.
the total number of combinations is:
C' = 6 + 6 + 3 = 15 different combinations.
b) If the order is not important, then there is only one combination when we draw the 3 marbles.
When we draw one marble there are 3 combinations (one for each marble)
When we draw two marbles, again there are 3 combinations (one for each marble that we do not draw)
then the total number of combinations in this case is:
C = 1 + 3 + 3 = 7
Which expression is equivalent to d - 8 - 8d?
Answer:
−7d−8
Step-by-step explanation:
Subtract 8d from d.
Could someone please help me with this
Answer:
what are the questions
Step-by-step explanation:
is the perpendicular bisector of . Point T is the midpoint of . Point U lies on . If the length of is 7 units, the length of is how many units?
Complete question is;
RS is the perpendicular bisector of PQ . Point T is the midpoint of PQ. Point U lies on RS. If the length of UP is 7 units, the length of UQ is ______ units.
Triangle is attached
Answer:
UQ = 7 Units
Step-by-step explanation:
From the image attached, we can see that;
T is the midpoint of PQ
Thus;
PT = TQ
Since RS is perpendicular to PQ, then we can say that;
∠PTU = ∠QTU
Now, from SAS congruence theorem, we can say that;
△PTU = △QTU
Thus, from corresponding sides of both triangles, we can say that;
UP = UQ
Thus,
UQ = 7 Units
Answer:
7 units
Step-by-step explanation:
Can someone help me out
Answer:
28.3
Step-by-step explanation:
A = [tex]\pi r^{2}[/tex]
Plug in:
A = [tex]\pi 3^{2}[/tex]
A = [tex]9 \pi[/tex]
A = 9 × 3.14 = 28.26 = 28.3
The answer is 28.3
Hope this helped.
a cube plus b cube is equal to a + b whole (a square minus a b + b square whole)
Answer:
a =b
Step-by-step explanation:
x423-2
Which expression is equivalent to log12
-?
(x+1)
O 410g,2x+ 2logi z(x2 – 2)- 5logiz(x: 1)
O 410912x+ žlog12. - 5log,2x+log421
o (x2
log124x+10912(x - 2)-510912(x)+1
4109,2x+ 3 109126x - 2)- 5log12(x + 1)
Answer:
D
Step-by-step explanation:
log(x^4*sqrt(x^3-2)/(x+1)^5)=log(x^4)+log(sqrt(x^3-2))-log((x+1)^5)
=> 4log(x)+(1/2)*log(x^3-2)-5log(x+1)
rs 20736 was distributed to as many rupees as there were. how many students were there
This question is solved by proportions
Doing this, we found that there were 144 students.
20736 was distributed. The number of rupees for each student is the number of students.
Considering n students, the amount each student receives is:
[tex]A = \frac{20736}{n}[/tex]
Considering each student received n rupees:
[tex]n = \frac{20736}{n}[/tex]
Applying cross multiplication:
[tex]n^2 = 20736[/tex]
[tex]n = \sqrt{20736}[/tex]
[tex]n = 144[/tex]
Thus, there were 144 students.
A similar question can be found at https://brainly.com/question/23843273
What are the zeros of f(x) = x2 - 8x+16?
O A. x= 4 only
B. x = -4 and x = 4
C. X=-2 and x = 8
D. x=-4 only
Answer:
x=4
Step-by-step explanation:
f(x) = x^2 - 8x+16
Set equal to zero
0 = x^2 -8x +16
Factor
what 2 numbers multiply to 16 and add to -8
-4*-4 = 16
-4+-4 = -8
0= (x-4)(x-4)
Using the zero product property
x-4 = 0 x-4 =0
x=4 x=4
Fiona went jewelry shopping and bought a bracelet for $1 367, a pair of earrings for $800, and a necklace for $4 500. What was the total amount of money she spent?
Answer: $1367 + $800 + $4500 = $6667
Write an inequality and show on a number line all numbers:
greater than (-3) but less than or equal to 3
(enter the inequality in terms of x)
Eg. x<-3; 3 7
Answer:
The inequality is:
- 3 < x ≤ 3And the graph is attached
Greater than -3
x>-3-3<xLess than or equal to 3
x≤3For number line
put a open dot at -3
put a close dot at 3
join them
Complete the equation: x2 + 10x +__= (__)^2
Answer:
x2 + 10x +25 = (x+5)^2
Step-by-step explanation:
x^2 + 10x
To complete the square
Take the coefficient of x
10
Divide by 2
10/2 =5
Square it
5^2 =25
Add it
x2 + 10x +25
The coefficient of x divided by 2 is the factor we add to x inside the square
(x+5)^2
Answer:
25 should go in the blank.
Step-by-step explanation:
You can factor and get (x + 5)^2, a perfect square trinomial when put into standard form.
A 9-pack of golf balls costs $8.74. What is the unit price, rounded to the nearest cent?
per golf ball
Answer:
0.97 per ball
Step-by-step explanation:
Take the total cost and divide by the number of items
8.74 /9
0.97111
Rounding to the nearest cent
0.97
Which answer shows 0.05 written in scientific notation?
Answer:
5x10^-2 option B
Step-by-step explanation:
Answer:
5x10^-2
the second one.
4.
The table shows the estimated number of deer living in a forest over a five-year period. Are the data best represented by a linear, exponential, or quadratic model? Write an equation to model the data.
A. quadratic; y = 0.62x2 + 89
B. exponential; y = 89 • 0.62x
C. linear; y = 0.62x + 89
D. quadratic; y = 89x2 + 0.62
Answer:
B. exponential; y = 89 • 0.62x
Step-by-step explanation:
Answer:
exponential; y = 89 • 0.62^x
...............................................................................................................................................
Answer:
Option B exponential y = 89 · 0.62x
Step-by-step explanation:
The table shows the estimated number of deer living in a forest over a five year period.
Year Number of deers
0 89
1 55
2 34
3 21
4 13
Now we have to find the model representing this situation. Difference in number of deer, in the forest.
We can see there is a common ratio between each successive term r = = 0.618
r = = 0.618
so it can be represented by an exponential model.
Option B is the answer.
...............................................................................................................................................
16789047+65390-49532578=?
Answer:
-32678141
Step-by-step explanation: