Answer:
[tex]Suppose~the~two~numbers~are~x~and~y.\\From~the~first~condition,\\x+y=-17...........(1)\\From~the~second~condition,\\x-y=41.............(2)\\Adding~eq^n(1)~and~eq^n(2),~we~get,\\x+y+x-y=-17+41\\or, 2x = 24\\or, x=12\\Substituting~x=12~in~eq^n(2),\\y = -17-x = -17-12 = -29[/tex]
[tex]So,~the~two~numbers~are~12~and~-29.[/tex]
Which statement is an example of the symmetric property of congruence?
A. If AKLM = APQR, then APQR = AKLM.
B. If AKLM = APQR, then APQR - ASTU.
X Х
C. If AKLM = APQR, and APQR - ASTU, then AKLM - ASTU.
D. AKLM = AKLM
Answer:
D.AKLM = AKLM
Step-by-step explanation:
because D.AKLM = AKLM is an example of the symmetric property of congruence
The statement which represents the symmetric property of congruence is given by if ΔKLM ≅ ΔPQR , then ΔPQR ≅ ΔKLM
What are Congruent Triangles?Transformations change the size or position of shapes. Congruent shapes are identical, but may be reflected, rotated or translated. Scale factors can increase or decrease the size of a shape. Congruent Triangles simply mean the triangles that possess the same size and shape
The three sides are equal (SSS: side, side, side)
Two angles are the same and a corresponding side is the same (ASA: angle, side, angle)
Two sides are equal and the angle between the two sides is equal (SAS: side, angle, side)
A right angle, the hypotenuse and a corresponding side are equal (RHS, right angle, hypotenuse, side)
Given data ,
Let the first triangle be represented as ΔKLM
Let the second triangle be represented as ΔPQR
Now , the measure of sides and angles be congruent
So , ΔKLM ≅ ΔPQR
From the symmetric property of congruence ,
If the first figure is congruent to second figure , the second figure is congruent to first figure
ΔKLM ≅ ΔPQR , then ΔPQR ≅ ΔKLM
Hence , the ΔKLM ≅ ΔPQR and they are congruent triangles
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Kaitlin has four and two-thirds berry pies. She is going to share it equally among 12 people. How much pies will each person get?
Answer:
7/18
Step-by-step explanation:
4 2/3=14/3
(14/3)/12=14/36
reduces to
7/18
Please Help! I need to turn this in today!
Answer:
45
Step-by-step explanation:
Here is a rule for a sequence.
After the first two terms, each term is half the sum of the previous two terms
a) Here is a sequence that follows this rule.
2
22
12
Write the next three terms.
(3)
b) A different sequence follows the same rules.
The 1st term is 5
The 3rd term is 10.5
5
10.5
Fill in the value for the 2nd term.
(3)
Answer:
34
Step-by-step explanation:
help me solve this please
Answer:
the answer is 0.7692
Step-by-step explanation:
which pair of numbers has an Lcm of 24?
Answer:
12 and 12
Step-by-step explanation:
12lcm +12lcm=24lcm
Need help............
Answer:
i would say C
Step-by-step explanation:
HELP!!! An electronics company designed a cardboard box for its new line of air purifiers. The figure shows the dimensions of the box.
The amount of cardboard required to make one box is ___
square inches.
Answer:
130 in^2 net area
136 in^2 gross area (counting the 6 in^2 scrap loss for the side cutouts)
Step-by-step explanation:
top=1.5x4=6
middle=1.5x4=6
bottom=3x4=12
sides=(2x3x8)-(2x1.5x2)=42
front & back=2x8x4=64
6+6+12+42+64=130
The amount of cardboard required to make one box is 130 inch².
What is Area?The total space occupied by a flat (2-D) surface or the shape of an object is defined as its area. The area of a plane figure is the space enclosed by its boundary. The number of unit squares that cover the surface of a closed form is the figure's area.
From the figure we have
top = 1.5 x 4 = 6
and, middle = 1.5 x 4 =6
and, bottom = 3 x 4 = 12
So, the side is
= (2 x 3 x 8) - (2 x 1.5 x 2)
=42
and, For front and back
= 2 x 8 x 4
=64
Thus, the amount cardboard required
= 6+6+12+42+64
= 130 in²
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for each ordered pair determine wheatear it is a solution to 2x
Solve each proportion 2/r=12/18
Answer:
r = 3
Step-by-step explanation:
starting with
2 / r = 12 / 18. we cross multiply
18 * 2 = 12 * r
36 = 12 * r
and divide by 12 to isolate "r"
36 / 12 = r
Then r = 3
Gym A charges $60 a month plus $4 per visit. The monthly cost at Gym B is represented by y = 4x + 50, where x is the number of visits per month. What conclusion can you draw about the monthly costs of the gyms? Since the rate per visit is less at Gym A , the monthly cost of Gym A is always more than Gym B.
Answer:
Gym A has 56 visits per month and Gym B has 46 visits per month.
Step-by-step explanation:
y=4x+60, which gives us 56
y=4x+50, which gives us 46
The area of a rectangle is 24 inches squared. The BASE is 6 in. What is the HEIGHT? *
pls fast
Answer:
4
Step-by-step explanation:
6*4=24
Base=6
Total=24
24/6=4 Height=4
*if iḿ wrong plz tell me
Activity
Rylee shopped at a clothing store, where she spent $36.50 plus 8% tax. Then, she spent $25 to refuel her car at the gas station. Finally, she bought groceries worth $23.50. At the grocery checkout, she handed over a coupon for a 20% discount on her purchase.
Complete the following steps to help Rylee find the net change to her banking account balance.
Part B
Write an expression that represents the net change in Rylee’s bank account balance after paying for fuel at the gas station.
Part C
Use decimal numbers to write an expression that represents the net change in Rylee’s bank account balance after paying for groceries.
Part D
Finally, use decimal numbers to write an expression that represents the net change in Rylee’s bank account balance for her entire shopping trip. Use your answers from parts A through C to guide you.
Part E
Simplify the expression in part D to find the net change in Rylee’s bank account balance. Express your answer as a decimal number.
Answer:
A)
Rylee bought $36.50 in clothes. This money is leaving her bank account, so represent the amount with a negative sign: -$36.50.
The tax on her purchase is 8%, so the tax amount is 0.08 × -$36.50. The expression that represents the net change in her bank account is -$36.50 + (0.08 × -$36.50).
Further simplify the expression by factoring -$36.50 from both terms:
-$36.50 + (0.08 × -$36.50)
=
-$36.50(1 + 0.08)
=
-$36.50(1.08).
B)
Rylee spent $25 for fuel at the gas station. This money is leaving her bank account, so represent the amount with a negative sign: -$25.
C)
The original price of Rylee’s groceries was $23.50. This money is leaving her bank account, so represent the amount with a negative sign: -$23.50.
Rylee got a 20% discount on her purchase. In other words, she got 20% of her money back. The expression that represents the net change in her bank account is -$23.50 – (-$23.50 × 0.2).
Further simplify the expression by factoring -$23.50 from both terms:
-$23.50 – (-$23.50 × 0.2) = -$23.50(1 – 0.2)
= -$23.50(0.8).
D)
clothing store:
-$36.50(1.08) or -$36.50 + (0.08 × -$36.50)
gas station:
-$25
grocery store:
-$23.50(0.8) or -$23.50 – (-$23.50 × 0.2)
After adding the three expenses:
-36.5 + (-36.5)(0.08) + (-25) + (-23.5) − (-23.5)(0.2) or
(-36.5)(1.08) + (-25) + (-23.5)(0.8).
E)
(-36.5)(1.08) + (-25) + (-23.5)(0.8) = -$83.22
enjoy :)
Antonio and Candice had a race. Their distances past a particular landmark as the race progressed can be represented by linear functions and are shown in the table of values and graph below. Which statement is true regarding Antonio and Candice’s race?
I got the answer Antonio had a head start of 3 meters.
Answer: i just did a quiz with this question and the answer is antonio had a head start of 3 meters.
Step-by-step explanation: hope this helped! thx for the points :D
find the value of x and round
Answer:
X=11.8
Step-by-step explanation:
Were best pals now lol
Cuantos lados tiene un cuadrilátero y cuales son?
Answer:
4 lados y se llaman adjacent sides (eso es una palabra en ingles)
Step-by-step explanation:
yo lo se ,espero que esto te ayudo :)
que tengas un buen dia<3
WHICH SERIES OF TRANSFORMATIONS CAN BE USED TO SHOW THAT ABC~DEF?
Answer:
A) is correct
Step-by-step explanation:
Find the sale price of a $70 item after a 20% discount.
Answer:
$56
ez
Step-by-step explanation:
SHAYNA FREEL PLANS TO BUY $17.45 WORTH OF STATIONERY SUPPLIES. IF THE SALES TAX IS 13%, HOW MUCH WILL SHAYNA PAY?
9514 1404 393
Answer:
$19.72
Step-by-step explanation:
The sales tax is 13% of $17.45:
0.13 × $17.45 = $2.27 . . . . . . rounded (up) to the nearest cent
Then the total Shayna will pay is ...
$17.45 +2.27 = $19.72
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.
Answer:
y = 1x - 5
Step-by-step explanation:
139 invitations to 38 invitations,what is the percent change?
Answer:
Step-by-step explanation:
decrease of 139-38 = 101
101/139 ≅ 0.727 = 72.7%
Question 4(8 points)
Ralph receives money from his family members for his high school graduation. He
decides he wants to spend no more than $120.00 on movies to bring with him to
college. Each DVD is $10.00, and each Blu-Ray is $15.00. He wants to purchase at least
8 movies. Determine the following,
You are given this inequality to represent "he wants to purchase at least 8
movies": x+y 28
BLANK 1: Would this be the correct way to write this (yes or no)?
BLANK 2-4: Fill in the blanks for the second inequality (all three answers are whole
numbers):
ys
x+
BLANK 5 AND 6:
What label would go on the x-axis, if you graphed this?
What label would go on the y-axis, if you graphed this?
BLANK 7 AND 8:
If Ralph were to JUST purchase DVDs, what is the maximum amount he could buy?
If Ralph were to JUST purchase Blu-Rays, what is the maximum amount he could buy?
what is your name? Jan kskskksk ksksmskksnsns nsksmms a ksmsms
a Toyota Yaris goes 15 km on one litre of petrol how much petrol will it need to get to paga from bawku,120km
Answer:
8 litre
Step-by-step explanation:
very simple 120÷15=8
hope it helps you
please mark me as brainlist
please help me asap!!
Answer:
3
Step-by-step explanation:
If it is 10 on the big one and 5 on the small ones it is half. So half of 6 is 3
Answer:
f=3
Step-by-step explanation:
5/10=x/6
10x=30
x=3
how to factorise 5h^2-12hg
Answer:
[tex]h(5h-12g)[/tex]
Step-by-step explanation:
[tex]5h^2-12hg[/tex]
When we factor expressions, we look for factors within the terms that are alike, or in other words, we look for common factors. Here, [tex]5h^2[/tex] and [tex]12hg[/tex] only have one common factor: [tex]h[/tex]. Therefore, to factorize this expression, divide both terms by [tex]h[/tex].
[tex]= h(\frac{5h^2}{h}-\frac{12hg}{h} )\\= h(5h-12g)[/tex]
Now, we've "carried" [tex]h[/tex] out of the expression and have therefore factored it.
I hope this helps!
What is 3/4. Of 44 in the amazing mathematics
Answer:
3/4 of 44 is 33
Step-by-step explanation:
33
Answer:
33
Step-by-step explanation:
2 f(x)=x2 + 2x cómo se evalúa?
a) f(3)
b) f(-1)
c) f(x-3)
Answer:
b) f (-1) ese es el resultado
simplify your answer
Answer:
51
Step-by-step explanation:
Can someone help me :)
Answer:
51
b+129=180
b+95+34=180
Step-by-step explanation:
hope this helped :)
A wheel for Lisa's bike has a diameter of 24 inches. What is the circumference, C, in inches? Use 3.14 for π
Answer:
75.36 inches
Step-by-step explanation:
C = π·d
C = 3.14(24)
C = 75.36
