Yes, it is possible to create different-looking triangles with the same angle measures and side lengths. These triangles are known as congruent triangles, and they have the same shape and size as one another, but may be oriented differently.
To create congruent triangles, we need to use the properties of congruence, which include corresponding angles, corresponding sides, and the side-angle-side (SAS), angle-side-angle (ASA), and side-side-side (SSS) postulates. For example, if we have two triangles with the same side lengths and angle measures, we can use the SAS postulate to show that they are congruent. This means that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.
By changing the orientation or position of the congruent triangles, we can create different-looking triangles with the same angle measures and side lengths. For example, we can take a congruent triangle and reflect it across a line or rotate it around a point to create a different-looking triangle. Alternatively, we can scale the triangle by multiplying its side lengths by a constant factor to create a similar triangle with the same angle measures, but different side lengths. In general, the properties of congruence allow us to create an infinite number of different-looking triangles with the same angle measures and side lengths.
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70 hundreds = _____thousands
Answer:
7000 im pretty sure if not im sorry
NEED ANSWER QUICKLY PLEASE
GIVING AWAY 20 POINTS!!
HURRY PLEASE!!
QUESTION:
What is mBDG?
Answer:
242
Step-by-step explanation:
Circles have a total of 360°
mDBG does not include mBA or mGA
This means that mDBG = 360 - ( mBA + mGA )
mBA = 28° ( this is given )
mGA = 90° ( this is also given; it's indicated by the right angle )
Thus, mDBG = 360 - ( 28 + 90 )
28 + 90 = 118
mDBG = 360 - 118
360 - 118 = 242
Hence, mDBG = 242
circleFind the area and the circumference of a circle with radius 5 ft.Use the value 3.14 for T, and do not round your answers. Be sure to include the correct units in your answers.ftft?ftArea:5 ftCircumference:Х$
Given the figure of a circle
As shown the radius of the circle = r = 5 ft
\(\text{Area}=\pi\cdot r^2=3.14\cdot5^2=3.14\cdot25=78.5ft^2\)\(Circumference=2\cdot\pi\cdot r=2\cdot3.14\cdot5=31.4ft\)so, the answer will be:
Area = 78.5 ft^2
Circumference = 31.4 ft
........help me plz plzzzzzzzz
Answer:
a = 42 and B = 50
Step-by-step explanation:
6 x 5 = 30
6 x 7 = 42
B
7 x 10
5 x 10
Answer:
Monkey A ate 42 vegtables and monkey B ate 50 fruits
Step-by-step explanation:
There are 5 blocks of fruits and 7 of vegtables.
Monkey A ate 30 fruits; 30/5 = 6. So that means each block is worth 6 peices of food. And 6x7 = 42.
Monkey B ate 70 vegtables; 70/7 = 10. So that means each block is worth 10 peices of food. And 10x5 = 50
-----------------------------------------------------------------------------------------------------------------
Missing values
Vegtables: 42
Fruit: 50
When sampling from the population of interest, it is a good idea to have a representative sample. True or false?.
Answer: True, common sense dictates this.
Answer: true
Step-by-step explanation:
what is the y intercept of the points (2,72) and (5,162)
Answer:
12
Step-by-step explanation:
Type Into Calculator:
SAT-EDIT-TYPE IN X VALUES AND Y VALUES (FROM ORDERED PAIR)-STAT-CALC-4-ENTER
Evaluate 3z + 2[z-1) when z = 5
Answer:
23
Step-by-step explanation:
3z + 2(z-1)
Let z=5
3*5 +2( 5-1)
15 +2(4)
15+8
23
what is the function for
y = -2x + 9
X-4 -4 - 2 0 2 4 . 4 y|17 _ _ _ _
Answer:
When, X=-4
y=17
X= - 3 with y =15
X= - 2 with y =13
X= - 1 with y =11
X=0 with y=9
X=1 with y=7
X=2 with y=5
X=3 with y=3
X=4 with y=1
As co-ordinate it'll be:
(-4,17)
(-3,15)
(-2,13)
(-1,11)
(0,9)
(1, 7)
(2,5)
(3,3)
(4,1)
The blank is the number that tell how many times a base number is used as a factor
Answer:
exponent
Step-by-step explanation:
Can somebody please tell me the value of x
Answer:
x=-4
Step-by-step explanation:i think this is is i hope it helps
Write 3.01 repeating as a mixed number.
Answer:
3 1/100
Step-by-step explanation:
Place the decimal number over a power of ten.
Find the measure of EG.
Thank you :)
Measure of EG is 9.5 cm.
Define triangles.A triangle is a polygon with three vertices and three sides. The angles of the triangle are formed by the connection of the three sides end to end at a point. The triangle's three angles add up to 180 degrees in total. A triangle's third side is always equal to the sum of any two of its sides' lengths. Having three sides, three angles, and three vertices, a triangle is a closed, two-dimensional object. A polygon also includes a triangle. As a polygon, a triangle.
Given Data
Lengths
EH = 24, GH = 24
The third side of a triangle is always equal to the sum of the lengths of any two of its sides.
24 = 9.5 + x + 24
9.5 = x
Measure of EG is 9.5 cm.
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An average person takes about 50,000 car rides in their lifetime. If a person lives to be 75 years old; how many car rides is that a day?
Answer:
About 1 ride a day
Step-by-step explanation:
Answer:
Approximately 2.
Step-by-step explanation:
75 years and 365 days a year would be about 27,375 because we do not know which year he was born we cannot say how many leap years there are so we don't add that to the equation and we will just have to say that out answer is an approximation.
Now if he lived 27, 375 days then we divide the amount of car rides( 50, 000) by that number(50,000/27,375= 1.826484018264840182648401826484)
We can just round this to the nearest whole number which would be 2.
so the answer is approximately 2 car rides per day.
Find m1 and m2 please I really need this answer
Step-by-step explanation:
< 1 + 130° = 180° < being linear pair >
< 1 = 180° - 130°
< 1 = 50°
<2 = 130° { being corresponding angles}
Hope it will help :)
Answer:
m<1=50
m<2=130
Step-by-step explanation:
Alright so these lines are parallel, which means those 2 sets of angles are congruent.
for m<1 you need to take 180 (the total angle of a flat line) and subtract the other angle, 130, which would leave you with m<1=50
for m<2 this angle is congruent to the one below it, so it would just be 130.
hope this helped! (:
Pls someone help
X= ???
Answer:
x=105 aswell.
Question 6 of 10
Evaluate the function below for x= 2.
F(x) = x^4 + 6x^3 + 3
A. 59
B. 47
C. 55
O D. 67
Answer:
D. 67
Step-by-step explanation:
\(f(x)=x^{4} +6x^{3} +3\\\)
put x=2
\(f(2)=2^{2} +6(2)^{3} +3\\\)
\(15+6*8+3\)
\(16+48+3\)
\(16+51\)
\(=67\)
So option D
\(--------\)
hope it helps..
have a great day!!
The function f(x) after evaluation at {x} = 2 is equal to 67.
What is function?A function is a relation between a dependent and independent variable. We can write the examples of function as -
y = f(x) = ax + b
y = f(x, y, z) = ax + by + cz
Given is to evaluate the function f(x) = x⁴ + 6x³ + 3 at {x} = 2.
The given function is -
f(x) = x⁴ + 6x³ + 3
Now, for {x} = 2, we can write that -
f(2) = 2⁴ + 6(2)³ + 3
f(2) = 16 + 6 x 8 + 3
f(2) = 16 + 48 + 3
f(2) = 67
Therefore, the function f(x) after evaluation at {x} = 2 is equal to 67.
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) Write an expression that is equivalent to -4(3x – 7).
-4(3x - 7) =
Answer:
-12x+28
Step-by-step explanation:
if correct plz mark as brainliest
thank you
19NBoli
Answer:
-12x - 7.
Step-by-step explanation:
Hope this helps!
find the distance between the points given (2, 5) and (6,8)
We have a formula to it, given the points (x, y) and (xo, yo)
\(dist = \sqrt{(x-xo)^2+(y-yo)^2}\)
So,
\(dist = \sqrt{(6-2)^2+(8-5)^2}\)
\(dist = \sqrt{4^2+3^2}\)
\(dist = \sqrt{25}\)
\(dist = 5\)
Answer:
The distance between the two points is 5
Step-by-step explanation:
index rule, should the project be accepted if the discount rate is 12.5 percent? Why or why not? Multiple Choice No; because the Pl is 3.3 Yes; because the PI is 3.0 No; because the Pl is 0.8 Yes; because the PI is 2.6 Yes; because the PI is 2.2
In order to determine whether the project should be accepted or not when the discount rate is 12.5 percent, we can use the profitability index (PI) which is calculated by dividing the present value of cash inflows by the initial investment.
The formula for PI is:PI = (PV of cash inflows) / (initial investment)
A project should be accepted if the profitability index is greater than 1. Therefore, we need to calculate the profitability index (PI) of the project using the given information and determine whether it is greater than 1 or not.
The given answer choices are:
No; because the Pl is 3.3
Yes; because the PI is 3.0
No; because the Pl is 0.8
Yes; because the PI is 2.6
Yes; because the PI is 2.2
However, there is no information given regarding the Pl (present value of cash inflows) for any of these answer choices.
Therefore, we cannot use these answer choices to determine whether the project should be accepted or not when the discount rate is 12.5 percent. So, we need to calculate the PI using the given information and check if it is greater than 1 or not.
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C = c0 + c1YD T = t0 + t1Y YD = Y – T
G and I are both constant. Assume that t1 is between 0 and 1.
Solve for taxes in equilibrium.
Suppose that the government starts with a balanced budget and that there is a drop in c0.
What happens to Y? What happens to taxes?
Suppose that the government cuts spending in order to keep the budget balanced. What will be the effect on Y? Does the cut in spending required to balance the budget counteract or reinforce the effect of the drop in c0 on output? (Don’t do the algebra. Use your intuition and give the answer in words.)
To solve for taxes in equilibrium, we can start by substituting the given equations into the equation for YD:
YD = Y - T
Since C and T are constant, we can write:
YD = (c0 + c1YD) - (t0 + t1Y)
Now, we can rearrange the equation to isolate YD:
YD = c0 + c1YD - t0 - t1Y
Simplifying further:
YD - c1YD = c0 - t0 - t1Y
Factoring out YD:
YD(1 - c1) = c0 - t0 - t1Y
Dividing both sides by (1 - c1):
YD = (c0 - t0 - t1Y) / (1 - c1)
Now, let's analyze the effects of a drop in c0. If c0 decreases, it implies that consumption decreases. As a result, YD will decrease, leading to a decrease in Y. Taxes will also decrease because they are determined by YD.
If the government cuts spending to balance the budget, it will lead to a decrease in G. This decrease in spending will reduce Y and further decrease YD. However, the impact on Y will depend on the magnitude of the cut in spending.
If the cut in spending is significant, it can counteract the decrease in output caused by the drop in c0. On the other hand, if the cut in spending is small, it may reinforce the effect of the drop in c0 on output. The overall effect on Y will depend on the relative magnitudes of the changes in c0 and G.
A drop in c0 will decrease both Y and taxes in equilibrium. If the government cuts spending to balance the budget, the effect on Y will depend on the magnitude of the cut in spending relative to the decrease in c0.
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The cut in spending required to balance the budget counteracts the effect of the drop in c₀ on output (Y).
In equilibrium, taxes can be solved using the given equations:
C = c₀ + c₁YD
T = t₀+ t₁Y
YD = Y – T
To find taxes in equilibrium, we need to substitute the value of YD into the equation for taxes:
T = t₀ + t₁YD
Now, let's analyze the impact of a drop in c₀ on output (Y) and taxes (T).
When c₀ decreases, it means that the intercept of the consumption function (C) decreases.
This results in a decrease in consumption at every level of income. As a result, the aggregate demand decreases, leading to a decrease in output (Y).
The decrease in output (Y) leads to a decrease in income and, consequently, a decrease in disposable income (YD).
Since taxes (T) depend on disposable income, a decrease in YD will lead to a decrease in taxes (T).
Next, let's consider the effect of a government spending cut to balance the budget.
When the government cuts spending to balance the budget, it reduces its expenditure (G) without changing its tax revenue (T).
This reduction in government spending decreases aggregate demand, which in turn reduces output (Y).
However, since the government is keeping the budget balanced, the decrease in government spending is offset by the decrease in taxes (T) that occurs as a result of the decrease in output (Y).
Therefore, the cut in spending required to balance the budget counteracts the effect of the drop in c₀ on output (Y).
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Observe the given below:
a. Determine the numerator part of the Fourier
transform of the response.
b. Determine the denominator part of the Fourier
transform of the response
a. The numerator of the Fourier transform is 1.
b. The denominator part of the Fourier transform is \(8e^{jw}(2e^{jw}-1)\).
Given that,
We have to find the Fourier transform of the response of the function h(n) = \((0.5)^{n+2}\) u(n-2)
We know that,
Take the function,
h(n) = \((0.5)^{n+2}\) u(n-2)
h(n) = \((0.5)^{n-2+4}\) u(n-2)
h(n) = (0.5)⁴ \((0.5)^{n-2}\) u(n-2)
h(n) = \((\frac{1}{2})^4\) \((0.5)^{n-2}\) u(n-2)
h(n) = \((\frac{1}{16})\) \((0.5)^{n-2}\) u(n-2)
Using the transform formulas,
x(n) ⇒ X(z)
aⁿu(n) ⇒ \(\frac{1}{1-az^{-1}}\)
x(n - n₀) ⇒ X(z)\(z^{-n_0}\)
We get,
H(z) = \((\frac{1}{16})\) \(\frac{z^{-2}}{1-0.5z^{-1}}\)
H(z) = \((\frac{1}{16})\) \(\frac{z^{-2}}{1- \frac{z^{-1}}{2}}\)
H(z) = \(\frac{z^{-2}}{8(2- z^{-1})}\)
H(z) = \(\frac{1}{8z(2z -1)}\)
By using discrete time Fourier transform,
H(z) = \(\frac{1}{8e^{jw}(2e^{jw} -1)}\)
Therefore,
a. a. The numerator of the Fourier transform is 1.
b. The denominator part of the Fourier transform is \(8e^{jw}(2e^{jw}-1)\).
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The question is incomplete the complete question is-
Observe the given below:
h(n) = \((0.5)^{n+2}\) u(n-2)
a. Find the numerator part of the Fourier transform of the response.
b. Find the denominator part of the Fourier transform of the response.
I will fail if i dont pass this test plzz helpp
Answer:
Step-by-step explanation:
312 divied by 12=26 so..
A family buys groceries for $150.52, including $10.80 in taxes. The bill includes $24.72 worth of items that are not taxable. Find the sales tax rate. Round your answer to the nearest tenth of a percent.
Answer:
the sales tax rate is 8.59%
Step-by-step explanation:
The computation of the sales tax rate is as follows:
= Tax value ÷ Total taxes
= $10.80 ÷ ($150.52 - $24.72)
= $10.80 ÷ $125.80
= 8.59%
Hence, the sales tax rate is 8.59%
We simply applied the above formula to determine the sales tax rate
1. Here is a rectangle.
a. Explain why the area of the large rectangle is 2a+3a+4a Explain why the area of the large rectangle is (2+3+4) A
The area of the large rectangle shown in the image is (2 + 3 + 4)a unit square
How to solve an equation?An equation is an expression that shows the relationship between two or more numbers.
Area is the amount of space occupied by a two dimensional shape or object.
The area of a rectangle is the product of its length and width. It is given by the equation:
Area of a rectangle = length * width
From the diagram:
Width = a; length = 2 + 3 + 4
Area = length * width
Substituting the terms into the equation:
Area = (2 + 3 + 4)a
Further simplification gives:
Area = 2a + 3a + 4a
The area of the rectangle is 2a + 3a + 4a
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The straight line y = mx + c lies on the right side of y-axis if a. c = 0 b. c = -1 c. c>0 d. c<0
Fourth and fifth graders planted trees alongside the road. The distance between two trees is 5 meters how many trees did they plant if the distance between the first and last trees is 200 meters?
\($\mathcal{PROCESS:}$\)
\({\displaystyle \mathbb {DATA \ \ TO\ \ TAKE \ \ INTO \ \ ACCOUNT}\)
The distance between two trees is 5 meters.the distance between the first and last trees is 200 metersTo know the result of trees we will do the following steps...
We will divide the distance from the first to the last tree by 5, and with this we would have the result:
\(200/5=?\)
Result:
40 trees were planted
ATT- Brook2007s
Answer:
41 Trees
Step-by-step explanation:
What is the volume of this cone?
Use π≈3.14.
Enter your answer rounded to the nearest whole number in the box.
cm³
someone please help!
Answer:
V≈508.94
Radius 9 Height 6
Solution
V=πr2h
3=π·92·6
3≈508.93801
Step-by-step explanation:
A cone is a three dimensional geometry with a flat base and narrows smoothly to a point called the apex or vertex. The volume of the given volume is 503.59 cm³.
What is the volume of a cone?The volume of a cone defines the space or the capacity occupied by the cone. In general the cone is defined as a pyramid which has a circular cross section. A right cone is called the cone with its vertex above the center of the base. It is also called the right circular cone.
The volume of the cone is calculated by using the formula:
Volume = 1/3 πr²h
Here 'r' = radius of the cone
'h' = height of the cone
V = 1/3 × 3.14 × 9 × 9 × 6
V = 503.59 cm³
Thus the volume of the cone is 503.59 cm³.
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A 1/2 kilogram of flour is packed equally into 10 bags How much flour is in each bag?
Answer:
1/20 kilogram of flour is in each bag.
Step-by-step explanation:
(1/2)/10=(1/2)(1/10)=1/20
i rlly need help someone pls help