The 4 tests of congruency are:
Side - Side - Side (S.S.S. congruency)
Side - Angle - Side (S.A.S. congruency)
Angle - Angle - Side (A.A.S congruency)
Right - Hypotenuse - Side (R.H.S. congruency)
Tests of congruency:
Side - Side - Side (S.S.S. congruency)
If three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.
Side - Angle - Side (S.A.S. congruency)
If two sides and the included angle of one triangle are equal to the corresponding sides and angle of another triangle, the triangles are congruent.
Angle - Angle - Side (A.A.S congruency)
If two angles and the non-included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent.
Right - Hypotenuse - Side (R.H.S. congruency)
If the hypotenuse and one leg of one right-angled triangle are equal to the corresponding hypotenuse and leg of another right-angled triangle, the two triangles are congruent.
For more questions on tests of congruency
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6.5. Does Spending Measure Welfare? Suppose a community spends $1 million on salaries and equipment for its police department. Because it believes that citizens are now more law-abiding, the community decides to cut back on the number of police it employs. As a result, the community now spends $800,000 less on police officers. The crime rate remains the same.
a. What happens to measured GDP?
b. Does GDP accurately reflect welfare in this case?
Discuss the underlying issue that this example poses.
Answer:
(a) Measured GDP will decrease by $200,0000
(b) No
Step-by-step explanation:
(a) Gross Domestic Product (GDP) is the total value in monetary terms of al the goods produced in a geographic location.
There will be a $200,000 decrease in the value of the GDP of the community as a result of reduction in the community spending from $1 million to $800,000.
(b) Generally, GDP is not a true indicator of welfare, likewise in this case, GDP does not reflect the welfare of the community.
There's a decrease in the community spending from $1 million to $800,000 but there's an increase in the welfare of the community as a result of decrease in crime rate.
a b c d ????????? which one is it please hurry im timed . high points
Answer:
0
Step-by-step explanation:
X is greater than -4 which leads to having to technically add 4 getting you to 0.
-4, -3, -2, -1, **0**
I hope this is correct and helps you!!!!
5 people shared 2 pizzas how much do they get
Answer: 2 and a half slices
Step-by-step explanation: 5/2 is 2.5
what is the diameter of the circle below? use 2.14 for pi
Answer:
4.8
Step-by-step explanation:
d = 4.8
The diameter is the WHOLE line for the circle and it's given
answers r
6 units
7 units
8 units
9 units
Answer:
9 units
Step-by-step explanation:
Answer:
6 units
Step-by-step explanation:
Can Someone help me please I don't understand
Answer: 55 Gallons.
Step-by-step explanation: you can trust me on this, and I promise it will be correct.
WHAT IS THE RANGE FOR THIS GRAPH?
PLEASE HELP
Answer:
[0,5] or 0≤ y≤ 5
Step-by-step explanation:
Not 100% certain but all the values are included even though there is an open circle
Solve for a
a³ = 100
Answer: 4.641588833612779
Step-by-step explanation:
By using a calculator I was able to find the question answer. I am hoping this was the answer you needed. I hope I helped! :)
Can someone help???!!!
PLEASE HELPLPPPpppppp
Answer:
40
Step-by-step explanation:
it could be 40 all I did was subtract 80 from 120 but ¡dk wasn't really good in geometry
Jamal has 16 marbles. Zing has 9. How many fewer marbles does Zing
have than Jamal?
Answer:
7
Step-by-step explanation:
16 - 9 = 7
Answer:
7
Step-by-step explanation:
16-9=7
DhhdhcdchxKhkkjdchjcjjdhc
two three digit numbers are formed using the same integers and then when they are added they form another three digit number with the same integers find the added number
Answer:
I just cannot find it, so I appologize to the author. ... 2. Sum of all the numbers which can be formed by using the digits (repetition being ... Same is true for the other two digits. ... One more tip: when we add up all the numbers, we can start with the ... (1+5+8)/3 * 111 - another way to write 3-digit number formed from "average
Step-by-step explanation:
please help :-( !! What is the scale factor of the dilation shown? Round your answer to 2 decimal places if necessary.
Answer: Scale factor is 1.5
Step-by-step explanation:you get scale factor e.g F'G' : FG= 12:8 =1,5
pls helpppppppppppppppppppppp
Answer:
∠A = 6x + 4
Step-by-step explanation:
Hello There!
We are given the exterior angle ∠ACD and an interior angle ∠B
If you didn't know this is the rule for exterior angles of a triangle:
An exterior angle is equal to the sum of its opposite interior angles
so ∠ACD = ∠A + ∠B ( ∠A and ∠B being the opposite interior angles)
So with the information that we are given we plug them into their corresponding angle
then we would have
8x+5 = ∠A + 2x + 1
now we solve for A
Well how do we solve for A?
Well we have to isolate the variable
To do so we want to get rid of 2x + 1
We do that by subtract each side by 2x and 1
8x + 5 - (2x + 1 ) = 6x + 4
we're left with
∠A = 6x + 4
Avery deposited 1250 in a new savings account. Which amount is closest to the balance of the account at the end of three years
Answer: $1,467.80
Step-by-step explanation:
The formula for the future value given annual compounding is:
= Amount * ( 1 + rate) ^ number of years
The amount after 3 years at 5.5% is therefore:
= 1,250 * ( 1 + 5.5%)³
= 1,250 * 1.174241375
= $1,467.80
1-cosx/1+cosx=secx-1/secx+1
Verify the identity. I tried all identities that I could, but could not find how it worked. Can you show me how to verify with all steps?
I usually do not ask on brainly, but I've tried everything else and still got nothing.
Currently in Algebra 2 and in the 9th grade.
Answer:
Sorry cannot help you, I'm only in year 8 (7th grade if I'm correct), and am horrible at Algebra. I'm sorry :(
6. True or false: A compass contains a magnet that responds to the geomagnetic field of
earth
The correct answer is true
Solve the 4 letter code please I need it before midnight, it's not a word.
9514 1404 393
Answer:
EAGI
Step-by-step explanation:
Your choices are correct except for "B". Graph 3 has a dashed line, so the inequality symbol is <, not ≤.
Which has the greater value, -4 or -5?
please step by step
Answer:
-5 is the greater value
Step-by-step explanation: because they are both negative but if the other one is positive and the other one is negative, the positive is the greater value.
what type of association is there ??
Answer:
Negative because the dots travel down away from the positive area
The fare for taxi journeys in a certain town is $2.00 plus $1.00 for each kilometre. Using this information, estimate: (i) The fare for a journey of 3.5 km. (ii) The distance travelled if the fare was $6.00
Answer:
Step-by-step explanation:
Since the journey initially costs $2 (this will be our y-intercept), and the variable (x) is $1 for every additional kilometer. This can be modelled as...
y=1x+2
(i) if we want to know the cost of what 3.5 km would cost, we simply plug it into our equation...
y=1(3.5)+2
Answer: $5.5
(ii) For this question you can set the y value equal to 6 and plug in a random number for x until you get 6 on both sides. In this case...
6=1x+2
6=1(4)+2
The distance traveled if the fare was $6 is 4km
I hope this helps you! When I was younger I used to use this site for help and now I'm paying it forward!
Drum Roll Please
Our school band is selling sweatshirts and t
shirts to raise money. The goal is to raise
$1200. The sweat shirts cost $12.50 and will
be sold for $15. The shirts will cost $6.50
and be sold for $8.
a) Write a function to describe the
number of shirts and sweatshirts the band can sell to reach their profit goal.
Explain your reasoning.
Hello everybody please help me (this is 6th grade math)
Answer:
Look at the image.
Step-by-step explanation:
Dollhouse furnishing come in different sizes depending on the size of the doll house. Whyyy ratio of the size of the dollhouse item to the size of the larger item dollhouse piano: 1 3/4 in. High real piano: 3ft 6in. High
Answer:
1: 24
Step-by-step explanation:
The ratio = size of smaller object/size of larger object = Height of dollhouse piano, h/height of real piano, H
H = 3 ft 6 in = 12 in/ft × 3 ft + 6 in = 36 in + 6 in = 42 in
h = 1³/₄ in = 7/4 in
So ratio = h/H = 7/4 in ÷ 42 in = 7/4 in × 1/42 in = 1/4 × 1/6 = 1/24
So ratio = h/H = 1/24 ⇒ h:H = 1: 24
Please please can someone help me asap thank you
Answer:
Answers bellow
Step-by-step explanation:
FIGURE A
Decreasing by 1/4 =25%
Figure B
Increase by 1/5 = 20 %
Page 2
b The amount of sunny days this year is 75% of the amount of sunny days last year
c The amount of houses sold this month is 150 % amount of houses sold last month
d The runner's time to complete this marathon was 110% he needed to complete the last marathon(not sure about that one )( it's either 90 % or 110)
y=−x+2 y=3x−4 khan
Answer: 0
Step-by-step explanation:
2y -3x - 4 = 0
Subtract 2y from both sides of the equation.
-3x - 4 = -2y
Add 4 to both sides of the equation.
-3x = -2y + 4
Divide each term by -3 and simplify
» Quinn is a contestant on a quiz show. Quinn's score changes by -15 points for 4 questions in a row. D *) What is the total change in Quinn's score?
Answer:
-60
Step-by-step explanation:
Given the vertex of a parabola is (-3,1) and also contains the point (-4,-1). State the exact equation of the parabola in vertex form, show all your work.
Answer:
y = -2(x + 3)^2 - 1
Step-by-step explanation:
The vertex equation of a parabola is y = a(x - h)^2 + k. If the vertex here is (-3, 1), then this equation becomes y = a(x + 3)^2 + 1.
Knowing that the graph passes through (-4, -1), we let y = -1 and x = -4, obtaining:
-1 = a(-4 + 3)^2 - 1, which must be solved for a:
-1 = a - 1. Therefore, a = -2, and the exact equation of this parabola is:
y = -2(x + 3)^2 - 1
5. A right triangle has a hypotenuse that is 13 cm and a leg that is 4 cm.
Determine the length of the unknown leg. Round to the nearest tenth.
Answer:
ok so square 13 cm, and square 4 cm. then you will add those together then take that number and find the square root plz mark brainliest
What is the domain and range for function A?
Answer:
Domain → (-∞, ∞)
Range → (-∞, 5)
Step-by-step explanation:
Domain of a function is a set of x-values (input values) for which the function is defined.
Function A is a quadratic function (in the form of a parabola) opening downwards.
This function is defined for every input value from negative infinity to positive infinity.
Therefore, domain of the given function A is (-∞, ∞).
Similarly, y-values (output values) vary from negative infinity to 5.
Therefore, range of the given quadratic function will be (-∞, 5).