Answer:
x = 5 and y = 7
Step-by-step explanation:
Given that,
PT = x+2, TR=y, QT=2x, TS=y+3
We need to find the value of x and y.
The diagonal of a parallelogram bisect each other. It means,
PT = TR and QT = TS
ATQ,
y = x+2 ...(1)
and
y+3 = 2x ....(2)
Subtracting equation (1) and (2).
y-(y+3) = x+2-2x
y-y-3 = 2-x
-3 = 2-x
x = 2+3
x = 5
Put the value of x in equation (1).
y = 5 + 2
y = 7
Hence, the values of x and y are x = 5 and y = 7.
Answer:
^ they are correct
Step-by-step explanation:
Which number is a factor of 84?
Answer:
3
Step-by-step explanation:
Factors of 84 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42 and 84.
HEY! HELP PLEASE, ASAP!! THANKS SO MUCH!!!!
Answer: I think its b
Step-by-step explanation:
Is the equation 96 ÷ 3 = 72 ÷ 2 true or false?
True
False
Answer:
false
Step-by-step explanation:
96/3=32
72/2=36
Macy Chapman - Answers to lea
1 invest £4600 in a bank account
paying
2.1%
compound interest. How much do I have in the account
after 5 years?
Answer:
£5083
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 2.1%/100 = 0.021 per year,
then, solving our equation
I = 4600 × 0.021 × 5 = 483
I = £ 483.00
The simple interest accumulated
on a principal of £ 4,600.00
at a rate of 2.1% per year
for 5 years is £ 483.00.
Find the surface area of the prism (no unit)
Answer:
1464
Step-by-step explanation:
16*22*2=704
10*16*2=320
10*22*2=440
704+320+440 = 1464
*You don't have to, but I am currently trying to reach the next level, and all I need is some more brainliest answers. If you think my answer was brainly enough, you can make my answer the brainliest, but no pressure. I just help people for fun! :) Thank you, have a great day!*
*lilybaker49's work was used - credit goes to her
What are the roots of the equation 5x^2=-17x-165x in simplest a+bi form?
what is 1+2=? i need to know if it’s 2 or 12
Answer:
3
Step-by-step explanation:
1+2 = 3
can sb help me !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
127 feet
Step-by-step explanation:
I did this already and I got it correct
Answer:
Its either 90 or 100
Step-by-step explanation:
What is the slope of the line ?
Answer:
1/2
Step-by-step explanation:
You need to start at any point on the line. Then, you count up one point. Next you count over to the right as many times as you need to get to the line. Since that number will be 2, the answer becomes 1/2.
Donald bought a box of golf balls for $9.20. There were 18 golf balls in the box.
About how much did each golf ball cost? Rename the decimal dividend as a whole number that is compatible with the divisor to estimate the quotient.
Each golf ball costs about $.
Answer:
0.53 A ball
Step-by-step explanation:
you just need to divide the price by the number of balls. ❤HOPE THIS HELPS❤
I’ll give Brainly
Which side lengths form a right triangle?
Choose all answers that apply:
А
3, √27, 6
B
8, 15, 17
5,5, 50
Rer
Answer:
C 5,5, sqrt(50)
Step-by-step explanation:
so basically a^2+b^2=c^2
and 5^2+5^2 = 50 so c is sqrt of 50
Answer:
the answer is all three of them because I just got it right on khan academy
please help me figure out this outfit
Ralph has 25% left of his Gatorade.
3 ÷ 12 = 0.25 --> 25%
Bradley Wiggins cycles 2.5km on a warm up. If the diameter of Bradley's bike wheel is 68cm, how many times (to the nearest whole rotation) will Bradley's bike wheel have rotated on this journey?
Answer:
1171 rotations
Step-by-step explanation:
Given that:
Distance cycled = 2.5km
Diameter of bike wheel, d = 68cm = 0.68m
We obtain the Circumference of the bike wheel:
Circumference, C = πd
C = 3.14 * 0.68
C = 2.1352 m
The number of rotations Bradley's wheel will make will be :
Total distance cycled / Circumference
= (2.5 *1000)m / 2.1352m
= 2500 / 2.1352
= 1170.8505
= 1171 rotations
Find the distance between points P(6, 2) and Q(5, 9) to the nearest tenth.
Answer:
[tex]d = 10[/tex]
Step-by-step explanation:
Distance formula
[tex]d =\sqrt{(x_2-x_1)^{2} + (y_2-y_1)^{2} }[/tex] ------------ (1)
Here
[tex](x_1, y_1) = (6, 2) \ \ \ and \ \ \ (x_2, y_2) = (5, 9)[/tex]
Substituting values in equation (1)
[tex]d =\sqrt{(5-6)^{2} + (9-2)^{2} }[/tex]
[tex]d =\sqrt{(-1)^{2} + (7)^{2} }[/tex]
[tex]d = \sqrt { 50 }[/tex]
[tex]d=7.07[/tex]
the nearest tenth is 10
Can someone do the math for me (im too lazy). SO I took a test and got a 57 and my grade in that class is a 87.20. How bad is my grade gonna drop? (Im lowkey crying inside lol)
Answer:
probably somewhere between a 75 or higher depending on if it is a important test and how many questions was on it
Step-by-step explanation:
What is the largest number of combination bags that Diego can make with no left over? Explain how you know this is the largest possible number of bags?
This question is incomplete
Complete Question
Diego is preparing brownies and cookies for a bake sale. He would like to make equal-size bags for selling all of the 48 brownies and 64 cookies that he has. What is the largest number of combination bags that Diego can make with no left over? Explain how you know this is the largest possible number of bags?
Answer:
16 bags.
Step-by-step explanation:
From the question, we have:
48 brownies and 64 cookies that he has
Hence, we solve this question using Greatest common factor method.
The first step would be to find the factors of 48 and 64. We would then pick the Greatest (largest factor) common to both.
The factors of 48 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
The factors of 64 are: 1, 2, 4, 8, 16, 32, 64
Then the greatest common factor is 16.
Therefore, the largest number of combination bags that Diego can make with no left over is 16 bags
1.37x = 12.741
A.14.111
B.17.45517
C.9.3
D.11.371
hey! the answer to your question is b because 1.37x12.741 is the answer 17.45517
Can someone Help me please
Answer:
47
Step-by-step explanation:
using exterior angle property,
23+5x-1=9x+2
→20=9x-5x
→20=4x→ x=5
angle PRS= 9X +2 = 9*5 +2= 47
What is m Help please!
9514 1404 393
Answer:
40°
Step-by-step explanation:
The similarity statement tells you that angles W and P have the same measure. The sum of angles in the triangle is 180°, so we have ...
∠R +∠W +∠T = 180°
85° +55° +∠T = 180°
∠T = 180° -140°
∠T = 40°
*
6. Determine the Rate of Change in the graph below.
Answer: slope is 1/2
Step-by-step explanation:
Answer:
1/2
Step-by-step explanation:
Using the equation slope = y2-y1/x2-x1 we can plug in (-4,-6) as x1 and y1 and (6,-1) as x2 and y2. We than have the equation -1+6/6+4 = slope, doing the math we now have 5/10 or 1/2 which is our rate of change
I really need help with this
Help if u can
Find X given Circle A, please help !!
15 POINTS!
Please help
Thank you
Answer: 1. 2 x^3 - 13 x + 15
2. 2 x^4 - 12 x^3 + 13 x^2 + 15 x
Step-by-step explanation:
The gas tank in my car is 5/6 full . Each time I drive it to or from work I use 1/12 of a full tank of gas . Which equation represents the number of times I can drive to or from work with the gas in my tank
Answer:
5/6 = 1/12x
Step-by-step explanation:
x represents the amount of times you can can drive to or from work with the gas in the tank
5/6 = 1/12x
- Multiply both sides of equation by 12
10 = x
A factory process requires 3 steps to finish a product. The steps each have a mean completion time of
= 10 seconds and a standard deviation of g = 5 seconds. The time it takes to complete each step is
independent from the other steps. Let T be the total completion time of the 3 steps on a randomly chosen
product.
Find the mean of T.
HT=
seconds
Use a whole number.
Answer:
square root 75
Step-by-step explanation:
khan
Using the normal distribution, the mean of T is of 30 seconds.
How to get the z scores?If we've got a normal distribution, then we can convert it to standard normal distribution and its values will give us the z score.
If we have
[tex]X \sim N(\mu, \sigma)[/tex]
[tex]Z = \dfrac{X - \mu}{\sigma}, \\\\Z \sim N(0,1)[/tex]
The mean of T is 10 seconds
A normal distribution has two parameters: Mean and standard deviation .
The given parameters are the mean completion time of each step, μ = 10 seconds
The standard deviation, σ = 5 seconds.
For the total completion, there are 3 instances, hence ,n = 3(10)
Thus, the mean of T is of 30 seconds.
Learn more about standard normal distribution here:
https://brainly.com/question/10984889
#SPJ1
The hospital has found that if a patient is being visited on average at least 8.4 times per day, they can give the same patient care with 3 less nurse visits per day. How many nurse visits per day can the hospital reduce for these 13 patients?
Answer:
6
Step-by-step explanation:
the number of patients that get visted 8.4 times is 1 and another 1 at 8.3 add those up and mutiply by the 3 less nurses visits you get 6
Number of nurse hours the hospital can reduce is 6.
What is an expression?An expression is a number, or a variable, or a combination of numbers and variables and operation symbols.
Now it is given that,
Number of patients visited on average at least 8.4 times per day = 2 patients
Now for each of the 2 patients the hospital can reduce 3 nurse visits.
Thus,
Number of nurse hours the hospital can reduce = 3 x 2
⇒ Number of nurse hours the hospital can reduce = 6 hours
Thus, Number of nurse hours the hospital can reduce is 6.
To learn more about expressions :
brainly.com/question/11568837
#SPJ2
Find the coordinates of the orthocenter of a triangle with the vertices (0,0), (8,2), (2,8) at each set of points on a coordinate plane?
Answer:
coordinates of the orthocenter = (16/5, 16/5)
Step-by-step explanation:
I have drawn a diagram showing this triangle with the vertices. I have also drawn altitude from B perpendicular to AC at point E.
I have also drawn altitude from from A perpendicular to BC at point D.
Now, we will find the slope of AC from the line slope equation; (y - y1) = m(x - x1)
m = (y - y1)/(x - x1)
Our coordinates are; A(0,0), B(8,2), C(2,8).
Thus;
Slope of AC; m = (8 - 0)/(2 - 0)
m = 4
Since BE is perpendicular to AC, slope of BE = -1/slope of AC = -1/4
Thus, equation of BE is;
(y - 2) = -¼(x - 8)
Multiply through by 4 to get;
4y - 8 = -x + 8
x + 4y = 16
Slope of BC is; m = (8 - 2)/(2 - 8) = 6/-6 = -1
AD is perpendicular to BC, thus slope of AD = -1/-1 = 1
Equation of AD is;
(y - 0) = 1(x - 0)
y = x
Putting x for y in equation of BE, we have;
x + 4x = 16
5x = 16
x = 16/5
Since y = x in equation AD, then y = 16/5
coordinates of the orthocenter = (16/5, 16/5)
What is the y-intercept of the line?
У.
-2
0
х
-2
1
2
1
Answer:
1
Step-by-step explanation:
Because the line is crossing on 1, on the y-axis.
Triangle ABC is similar to triangle DEF
Answer:
A my dude. good luck!!!!!
Answer:
A
Step-by-step explanation:
AC = 5
DF = 15
5 x 3 = 15
BC = 3
EF = 9
3 x 3 = 9
Do you see the pattern? So as you can see the difference between Triangle ABC and DEF is the multiply/divide 3 so if you want to find DE then you should set it up as:
[tex]\frac{4}{3}[/tex] = [tex]\frac{DE}{9}[/tex] and to check if its right if you solve it you get [tex]\frac{4}{3}[/tex] = [tex]\frac{12}{9}[/tex]
and as you see [tex]\frac{12}{9}[/tex] and [tex]\frac{4}{3}[/tex] are literally the same thing just you need to simplify [tex]\frac{12}{9}[/tex]
A rectangle has an area of 36 square centimeters. The width of the rectangle is 4 centimeters.
What is the length of the rectangle?