Answer:
[tex]\displaystyle QR = 12[/tex]
Step-by-step explanation:
First, it's never a bad idea to draw the line and see what it looks like! This is shown below (not to scale).
We are given that PS = 18 and PR = 15, and we want to determine QR.
PS is the sum of PR and RS:
[tex]\displaystyle PS = PR + RS[/tex]
Substitute:
[tex]\displaystyle (18) = (15) + RS[/tex]
Solve for RS
[tex]\displaystyle RS = 3[/tex]
Since RS ≅ PQ:
[tex]\displaystyle RS = PQ = 3[/tex]
PS is also the sum of PQ, QR, and RS. Hence:
[tex]PS = PQ + QR + RS[/tex]
Since PS = 18 and RS = PQ = 3:
[tex](18) = (3) + QR + (3)[/tex]
Solve for QR:
[tex]QR = 12[/tex]
In conclusion, QR measures 12 units.
2 times the sum of 9 and the opposite of x
Answer:
18-2x
Step-by-step explanation:
distribute the 2 in 2(9-x) opposite of x is -x
Carmen is 5 1/2 years younger than Antoine. Katy is 11 1/2 years older than Carmeri. To the nearest year what is the difference in Antoine's age and Katy's age?
A. Antoine is about 6 years older than Katy
B. Antoine is about 6 years younger than katy.
C. Antoine is about 17 years older than Katy
D. Antoine is about 17 years younger than Katy
If Carmens age is x and Antoine is 5 1/4 years older than Carmen
then Antoine's age is x + 5 1/4
Katy is 11 1/2 years older than Carmen
hence, Katy's age is x + 11 1/2
its visible that Katy is older than Antoine since (x + 11 1/2 ) > (x + 5 1/4)
difference between Antoine's and Katy's age can be found out by subtracting Antoine's age from Katy's age
Difference = Katy's age - Antoine's age
= x + 11 1/2 - (x + 5 1/4)
= x + 11 1/2 - x - 5 1/4
= 6 (1/2 - 1/4)
= 6 1/4
6 1/4 rounded off to the nearest year is 6 years.
Therefore difference is 6 years.
Katy is 6 years older than Antoine
Find the approximate area of the quadrilateral with the given coordinates A(0, 4), B(5, 2), C(3, -3) and D(-2, -1)
Answer:b
Step-by-step explanation:
The area of the quadrilateral with the given coordinates is 27 square units.
The coordinates of the quadrilateral are A(0, 4), B(5, 2), C(3, -3) and D(-2, -1).
We need to find the area of the quadrilateral with the given coordinates.
What is the formula to find the area of the quadrilateral with coordinates?The formula to find the area of the quadrilateral with coordinates ( x₀, y₀ ), ( x₁, y₁ ), ( x₂, y₂ ), ( x₃, y₃ ) is (1/2) × ( x₀y₁ - x₁y₀ + x₁y₂ - x₂y₁ + x₂y₃ - x₃y₂ + x₃y₀ - x₀y₃ ).
Now, Area=1/2×(0×2-5×4+5×(-3)-3×2+3×(-1)-(-2)×(-3)+(-2)×4-0×(-1))
=1/2×|(-20-15-6-3-6-8)|=27 square units.
Therefore, the area of the quadrilateral with the given coordinates is 27 square units.
To learn more about the area of the quadrilateral visit:
https://brainly.com/question/20518556.
#SPJ5
(3, 5), (4, 6), (3, 8), (2, 4), (1, 3), as a mapping
Answer:
Graph copy is needed..
Step-by-step explanation:
Photo cannot be pinned*
Which of the following expressions is equivalent to the expression below?please help me
Answer: 14x+6
Step-by-step explanation:
by using distribution from the ”2” outside the parenthesis, you simply do
2x7= 14 (add the variable x) so 14x
then you do 2x3= 6
The sum of four consecutive
integers is 94. Find the integers.
Answer:
22, 23, 24, and 25.
Step-by-step explanation:
The sum of four consecutive integers is 94, and we want to determine the integers.
Let x be the first integer. Since they are consecutive, the second will be (x + 1), the third (x + 2), and the fourth (x + 3).
They sum to 94. Hence:
[tex]\displaystyle x + (x+1) + (x+2) + (x+3) = 94[/tex]
Solve for x. Combine like terms:
[tex]4x + 6= 94[/tex]
Subtract:
[tex]\displaystyle 4x = 88[/tex]
And divide. Hence:
[tex]\displaystyle x = 22[/tex]
Therefore, the first term is 22.
Then the four integers are 22, 23, 24, and 25.
2n + n/9 = 9
What is n?
[ the equation is in the box I drew]
Answer:
n = 27
Step-by-step explanation:
(2n + 9) / 9 = 9
multiply both sides by 9
3n = 81
/3 /3
-------------
n = 27
Answer:
n = 27
Step-by-step explanation:
(2n + n)÷9 = 9
multiply both side by 9
(2n + n) = 81
3n = 81
Divide both sides by 3
3n/3 = 81/3
n = 27
Could someone please solve this using a^2+b^2=c^2
Step-by-step explanation:
it is shown in the above process.
hope you understand
4v + 1) + v = 5(v - 1) +9
Answer:
Step-by-step explanation:
4(v+1)+v=5(v-1)+9
distribute
4v+4+v
which is
5v+4=5v-5+9
5v+4=5v+4
No solution is the answer
The angles below form a linear pair. What is the measure of angle ABC
Answer:
132
Step-by-step explanation:
A linear pair adds to 180
<ABC + <CBD = 180
<ABC + 48 = 180
<ABC = 180-48
<ABC =132
What is the value of 3 in 18.93?
The value of 3 in the number 18.93 is 0.03.
hundredths placeHow to determine the value of 3 in 18.93In the number 18.93, the digit 3 has a place value of hundredths. Therefore, its value is 0.03.
To break it down:
The digit 3 is in the hundredths place.
The digit 9 is in the tenths place, representing 9 tenths or 0.9.
The digit 8 is in the units place, representing a whole.
The digit 1 is in the tens place representing 10
Adding up these values, we get:
10.00 + 8.00 + 0.90 + 0.03 = 18.93
So, the value of 3 in 18.93 is 0.03.
Learn more about place value at
https://brainly.com/question/25137147
#SPJ2
X to the 3rd power= 64/343
Answer:
x = 4/7
Step-by-step explanation:
x^3 = 64/ 343 // - 64/ 343
x^3 - ( 64/ 343 ) = 0
x^3 - 64 / 343 = 0
1*x^3 = 64/ 343 // : 1
x^3 = 64/ 343
x^3 = 64/ 343 // ^ 1/3
x = 4/ 7
4w-41 = -7(w-2) Simplify your answer as much as possible.
Answer:
w = -13
Step-by-step explanation:
4w - 41 = 7(w-2)
Open the bracket
4w -41 = 7w -14
Collect like terms
4w - 7w = 41 - 14
-3w = 27.
Divide both side by -3
w = -9
Answer: w = 5
Step-by-step explanation:
4w-41=-7w+14
4w+7w=14+41
11w=55
W = 55/11
W = 5
Which one of the following statements must be true about the kite shown?
A. AB ≅ CB
B. BD ≅ AC
C. CD≅ BC
D)
≅
Answer:
answer is Afridi.AB=CB
What is $2088.523125 Rounded to the nearest dollar?
9514 1404 393
Answer:
$2089
Step-by-step explanation:
One way to do this rounding is to add $0.50, then drop all of the fractional digits.
$2088.523125 + 0.50 = $2089.023125
Dropping all of the digits right of the decimal point gives $2089.
Graph
1
8
on the number line.
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The point is located 1/8 of the distance from 0 to 1. When the space between 0 and 1 is divided into 8 equal parts, 1/8 is located after the first space, nearest zero.
Daria needs to fill 4 gift baskets equally with bags of candy and boxes of cookies. She has 12 bags of candy and 8 boxes of cookies and wants to give all of them away.
Which expression should be used to determine the total number of bags of candy and boxes of cookies she will place in each basket?
(A) (12 + 8) * 4
(B) 12 + (8 divided by 4)
(C) (12 divided by 4) + (8 divided by 4)
(D) (12 + 8) divided by (8 + 12)
Answer:
(C) (12 divided by 4) + (8 divided by 4)Step-by-step explanation:
(12 ÷ 4) + (8 ÷ 4) = ?3 + 2 = ?5• Therefore, each gift basket have 5 total numbers of candies and cookies combined.• Therefore, each gift basket have 3 candies and 2 cookies.[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]
PLS HELPP
6 times what =9??
[tex]6\cdot\square=9\\\\\square=9:6\\\\\square=\frac{9}{6}\rightarrow\square=\frac{3}{2} \ (\text{devide 9 and 6 by 3})[/tex]
at what point do the increasing and decreasing parts of the graphs in Part A intersect?
B Which expression is equivalent to -5 × 4?
Answer: A
Step-by-step explanation:
-5+-5+-5+-5=-20
-4+-4+-4+-4=-16
5+5+5+5+5=25
4+4+4+4+4=20
The questions asks for -5 x 4 = -20
Q11. Find the missing term in the following sequence: 4, 9, 19,79
0 36
O 37
0 38
O 39
40
Solve for the value of r.
(7r-5)
(6r+4)°
Answer:
r = 9
Step-by-step explanation:
These are vertical angles, therefore, the measurements is the same. Set the two measurements equal to each other:
7r - 5 = 6r + 4
Isolate the variable, r. Note the equal sign, what you do to one side, you do to the other. Add 5 and subtract 6r from both sides of the equation:
7r (-6r) - 5 (+5) = 6r (-6r) + 4 (+5)
7r - 6r = 4 + 5
Simplify:
7r - 6r = 4 + 5
r = 9
9 is your value for r.
~
Ramita sold a face wash cream for RS 550and made a profit of 10
percent. If Rita had sold it for Rs495,what would be her loss percent
Step-by-step explanation:
it's answer is I think 5000
Little six-year-old Suzy is playing an innocent game in her back yard. She mixes an alloy containing 14% silver with an alloy containing 24% silver to create 50 kg of an alloy with 18% silver. How many kilograms of each alloy did little Suzy use? a)
Define the variables.
solve the problem
multiply 18/-57 and 7/6
Answer:
-7/19
Step-by-step explanation:
First simplify the fractions. 18/-57= -6/19.
-6/19x7/6=-42/114
-42/114=-7/19
I hope this helps! I also put it into an online calculator to make sure it is right and it is!
Can someone do 8, and 9 pls
All they're asking for are your goals.
The best thing to put for 8. would be:
"I'd like to get better at my math so I don't have so much trouble and would have to ask. I'd like to be able to figure my work out myself!" Or something.
9?.
all you need to put (maybe) would be:
"Yes, I usually work on my homework at [the time you usually start your homework], and I usually work alone."
or,
"No, I usually work on my homework when I feel like it, or before I go to bed, and my parent (or guardian, sibling, friend), help me with some of the questions."
I hope that helped.
Simplify (3x-1)(x+3)
Answer:
3x 2 +8x−3
Step-by-step explanation:
Answer:
3x^2+8x-3
Step-by-step explanation:
That should be the right answer but don't quote me on it.
8. The cost of 25 pens is Rs.250. find the cost of 30 pens.
Answer:
Cost of 25 pens = Rs 250
Cost of 1 pens = Rs 250/25
= Rs 10
Cost of 30 pens = Rs 30×10
=Rs 300
Hope it helps you.Simplify the following expression and show your work in details please .
Answer:
= -2
Step-by-step explanation:
6t + 3 (1 - 2t) - 5
= 6t + 3 - 6t - 5
6t and -6t cross out as they equal 0, so we are left with only +3 and -5
+3 - 5 = -2
= -2 ---> final solution
What is the value of exterior