Answer:
HL Postulate
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HL Postulate(Hypotenuse - Leg) or RHS theorem -> If any two right angles that have a congruent hypotenuse and a corresponding, congruent leg are congruent triangles.
AC ≅ DF , BC ≅ EF and ∠B ≅ ∠E ( both 90 0 )
∴ Δ ABC ≅ Δ DEF by RHS theorem
Theorem : Prove RHS theorem or postulate.
Given : AC = DF , BC = EF and ∠B = ∠E = 90 0
Prove that : ΔABC ≅ ΔDEF
Construction : Extend DE to G so that EG = AB. Join GF.
Statements
Reasons
1) AB = GE 1) Construction
2) ∠B = ∠FEG 2) Each 900
3) BC = EF 3) Given
4) ΔABC ≅ ΔGEF 4) By SAS postulate
5) ∠A = ∠G 5) CPCTC
6) AC = GF 6) If the two angles are congruent then angle opposite to them are equal
7) AC = DF 7) Given
8) DF = GF 8) By transitive property
9) ∠D = ∠G 9) Angles opposite to equal sides in ΔDGF are equal
10) ∠A = ∠D 10) From (5) and (9)
11) ∠B = ∠E 11) Given
12)∠A+∠B=∠D+∠E 12) Adding (10) and (11)
13) ∠C = ∠F 13) ∠A + ∠B + ∠C = 180
and ∠D + ∠E + ∠F = 1800
14) ΔABC ≅ ΔDEF 14) By SAS postulate and from (3) (7) and (13)
Step-by-step explanation:
Answer:
Step-by-step explanation:
HL is the the Hypothenuse Leg Postulate that sais that
If the hypotenuse and leg of one triangle are congruent
to the hypotenuse and leg of another triangle
then the triangles are congruent.
NEED HELP ASAP PLEASEE
Answer:
can u make a more clear picture ?
Step-by-step explanation:
What is the distance between the points (4, 7) and (4, −5)?
0 units
2 units
4 units
12 units
Answer:
12 units
Step-by-step explanation:
hope this helped luv!
please help me with this
Answer:
A
Step-by-step explanation:
A I GUESS SO.................
please help i really don't understand
Answer:
3.75
Step-by-step explanation:
That is the decimal
Answer:
it's D
Step-by-step explanation:
if you were to divide the numerator by the denominator you would get 0.26 and the 6 is repeating
Write an equation to represent the following description "fourteen less than 8 times a number is -11
Answer:
(8 * x) -14 = -11
Step-by-step explanation:
* = multiply sign (i didnt want to put "x" as the multiply sign since "x" is already being used) ( mightve confused you with 2 "x"s in the parenthesis.
x = the number that is missing being multiplied by 8
I put "8" multiplied by "x" in parenthesis since you do parenthesis first in an equation.
What’s the answer I need help!!
Answer:
150
Step-by-step explanation:
add three x plus 30 get 30 then add 6y plus 120 and get 120 add them and get 150
The diameter of a wheel of a car is 0.75 m. if the car travels at an average speed of 14 m/s, find the
number of revolutions made by the wheel per minute, giving your answer correct to the nearest
whole number.
Step-by-step explanation:
Circumference of wheel = πd = 0.75πm.
How far the car travels per minute
= 60s * (14m/s) = 840m.
Hence number of revolutions per minute
= 840m / 0.75πm
= 356.507....
= 357. (nearest whole number)
A number line going from negative 1 to positive 1 in increments of 1. There are 5 equal spaces between each number. Select all the statements that are true. –1 is less than Negative StartFraction 4 Over 5 EndFraction. –0.3 is less than One-fifth. 0.6 is greater than 1. 0 is greater than –0.5. Negative three-fifths is equal to –0.6.
Answer:
–1 is less than Negative StartFraction 4 Over 5 EndFraction
Step-by-step explanation:
Number line from - 1 to + 1 in Increment of 1 ; with 5 equal spaces between each number ;
–0.3 is less than One-fifth
0 is greater than –0.5
Negative three-fifths is equal to –0.6
Number line :
-1 to 0 to 1
-1, - 0.8, - 0.6, - 0.4, - 0.2, 0, 0.2, 0.4, 0.6, 0.8, 1
–1 is less than Negative StartFraction 4 Over 5 EndFraction : - 1 < - 0.8 (true)
–0.3 is less than One-fifth : - 0.3 < 0.2 (true)
0.6 is greater than 1 ( false)
0 is greater than –0.5 (true)
Negative three-fifths is equal to –0.6; - 0.6 = - 0.6 ( true)
Answer:
The answer is A B D E
Step-by-step explanation:
Plz help❤️Urgently plz
Answer:
do a better pic
Step-by-step explanation:
five and six eights + four and 4 fiths please answer ill give 10 points
Answer:
29/5
Step-by-step explanation:
Answer:
10 11/20
Step-by-step explanation:
ten and eleven twentieths
Can someone help me on this aswell lol
Answer:
y = [tex]\frac{1}{2}[/tex]x - 2
Step-by-step explanation:
y = mx + b (m is the slope and b is the y-intercept)
Equation to find slope: [tex]\frac{y1-y2}{x1-x2}[/tex] Given points: (-6, -5) (-4, -4)
[tex]\frac{-5+4}{-6+4}[/tex] = [tex]\frac{-1}{-2}[/tex] = [tex]\frac{1}{2}[/tex]
y = [tex]\frac{1}{2}[/tex]x + b
The y-intercept is -2
y = [tex]\frac{1}{2}[/tex]x - 2
How is a rate simile do different from a ratio?
Use the unit circle to find the point (x,y) that corresponds to the real number t
Step-by-step explanation:
I hope its help you
HELP ASAP WILL MARK BRAINLIESTTTT!!!!!!
Answer:
A
Step-by-step explanation:
Answer: a is the answer
Step-by-step explanation:
Suppose you want to buy one pair of pants and several pairs of socks.
The pants cost $24.95, and the socks are $5.95 per pair. How many
pairs of socks can you buy if you have $50.00 to spend?
Answer:
8
Step-by-step explanation:
50/5.95
Find the equation of the line that is perpendicular to the given line and passes through the given point. Enter your answer in slope-intercept form (y = mx + b) with the values of m and b given as decimals, rounded to the nearest hundredth if necessary.
y = 2x ; (5, −5)
The equation is y = .
Hope this works, let me know if you didn't understand it
Answer:
the y is y=mx+b
Step-by-step explanation:
if this helps say also have a brillint day
What is the slope of (-2,5) (3, -5)
A. -1/2
B. -2
C. 2
D. 1/2
Answer:
Step-by-step explanation:
(-5 - 5)/(3 + 2)= -10/5= -2
answer is B
HELP ASAP WILL MARK BRAINLIEST
can anyone help and explain why this is either proportional or not? urgent!! (it needs an explanation too)
Answer:
Proportional
Step-by-step explanation:
It's evenly spaced, and if all ratios are simplified, they will all come out the same.(It's in a straight line and not scattered all over).
a car was purchased last year for $28,500. now its value is $25,510. at what rate is the car's value depreciating each year?
Answer:
The car's value is depreciating by $2,990 per year.
Step-by-step explanation:
To solve this problem, we just need to subtract the cars value this year, or $25,510, from the car value of last year, or $28,500.
28,500 - 25,510 = $2,990
Since the car value was $2,990 more just last year, the car's value is depreciating by $2,990 per year.
Hope this helps! :D
Someone please help I’m going to fail my class
It okay talk a deep breath and focus relax.
Have a great day and don't worry:)
ahhahanvm? shushaha bruh what do i do
\u gotta ask ur question
Step-by-step explanation:
which system of inequalities is shown?
Answer:
d is the right answer.
y is greater than x
y is equal to 4
Step-by-step explanation:
Please only answer if you know
Answer:
A, C
Step-by-step explanation:
A.)
32 / 8 * 5.25 ----> 4 * 5.25 ----> 21
C.)
4 * 12.5 / 2----> 49 / 2 ----> 24.5
Answer:
between 20 & 30?
A & C
Step-by-step explanation:
A) 32 / 8 * 5.25 = 21
B) -18 / 6 * 9 = -27
C) 4 * 12.5 / 2 = 25
D) 12 * 4[tex]\frac{1}{3}[/tex] / -2 = -26
Imani spent half of her weekly allowance to purchase Cyberpunk 2077 . To earn more money her parents let her wash the dishes for $15. What is her weekly allowance if she ended the week with $75?
Her weekly allowance is $
Answer:
120
Step-by-step explanation:
75-15=60. (Edit) Just realized that she spent her allowance that week, so it would be 120 because you need to multiply.
Answer:
The answer is 120$
Step-by-step explanation:
75-15=60
60x2=120
You multiply it by 2 because she spent half of her allowance on cyberpunk 2077
the table represents the points on the graph of a linear function. Which of the following equations best represents the data in the table?
9514 1404 393
Answer:
f(x) = 3x +5
Step-by-step explanation:
The x-values change by 1 from the first line to the second.
The y-values change by -13-(-16) = 3 from the first line to the second.
Then the "rate of change" is ∆y/∆x = 3/1 = 3. This will be the coefficient of x in the equation. The last choice is appropriate:
f(x) = 3x + 5
What is 11/12 divided by 1/3?
Answer:
2.75
Step-by-step explanation:
Answer: 2 3/4
Take the reciprocal of the second fraction by flipping the numerator and denominator and changing the operation to multiplication. Then the equation becomes
11/12×3/1=?
By multiplying this, you get 11/4. This simplifies to 2 3/4
1: A man owns 50 shares of stock worth $30 each. The corporation declared a dividend of 6% payable in stock. How many shares did he then own?
Answer:
53 shares
Step-by-step explanation:
Calculation for how many SHARES did he then own
Using this formula
Numbers of shares=[ (Dividend percentage payable in stock ×Shares of stock)+Shares of stock]
Let plug in the formula
Numbers of shares= [(.06 x 50 shares)+50 shares]
Numbers of shares= 3 + 50 shares
Numbers of shares = 53 shares
Therefore How many shares did he then own is 53 shares
The graph shows a proportional relationship between the number of hours, x, Gail tutors and the total amount she earns, y. One student needed extra help. Gail got charged $250 for 11 hours of tutoring. Did she charge her unit rate? Explain.
Answer:
$22.72 per hourStep-by-step explanation:
Step one:
given data
we are told that she got charged $250
time of the tutoring = 11 hours
Step two:
Required
The unit rate: this is defined as the cost per item, in this case, it is the cost per unit of time, Hence
the unit rate
=250/11
=$22.72 per hour
Which input value produces the same output value for
the two functions?
O x=-12
O x=9
O x=-6
Ox=-3
Answer:
-6
Step-by-step explanation:
Took test
At x = -6, both functions have the same output of 3.
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Now, We get;
f(x) = 2/3x + 7
when x = -12;
= 2/3(-12) + 7
= -8 + 7
= -1
g(x) = 2x + 15....
when x = -12
= 2(-12) + 15
= -24 + 15
= - 9
When x = -9;
f(x) = 2/3(-9) + 7 g(x) = 2(-9) + 15
= -6 + 7 = -18 + 15
= 1 = -3
When x = -6;
f(x) = 2/3(-6) + 7 g(x) = 2(-6) + 15
= -4 + 7 = -12 + 15
= 3 = 3
Thus, At x = -6, both functions have the same output of 3.
Learn more about the function visit:
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