ABCD is a parallelogram. Find the value of x, y, w, and z.
Answer:
Summary:
The value of x = -14The value of y = 18The value of w = 14The value of z = 14Step-by-step explanation:
Given
The parallelogram ABCDAD = x-28BC = 3xAB = 12CD = 2/3yWe know opposite sides of a parallelogram are equal.
Therefore,
AD = BC AB = CDnow subtitute AD = x-28 and BC = 3x in AD = BC
AD = BC
x-28 = 3x
switch sides
3x = x-28
subracting x from both sides
3x-x = x-28+x
2x = -28
divide both sides by 2
2x/2 = -28/2
x = -14
Therefore,
The value of x = -14
Now subtitute AB = 12 and CD = 2/3y in AB = CD
AB = CD
12 = 2/3y
switching sides
2/3y = 12
y = 3/2 × 12
y = 18
Therefore,
The value of y = 18
We also know that the opposite angles of a parallelogram are equal.
Therefore,
5w = 70°
divide both sides by 5
5w/5 = 70°/5
w = 14
Therefore,
The value of w = 14
We know that the sum of the measures of the adjacent angles of a parallelogram is 180°.
Here,
m∠B = 70°.
m∠A = (3w+2z)°
As m∠B is adjacent to m∠A.
so
m∠A + m∠B = 180°
so substituting m∠B = 70° and m∠A = (3w+2z)° in the equation
70° + (3w+2z)° = 180°
now substituting w = 14 in the equation
70° + (3(14) + 2z)° = 180°
70° + (42+2z)° = 180°
70° + 42 + 2z = 180°
112 + 2z = 180°
2z = 180° - 112
2z = 68
divide both sides by 2
2z/z = 68/2
z = 34
Therefore,
The value of z = 14
Summary:
The value of x = -14The value of y = 18The value of w = 14The value of z = 14An airplane is flying from knoxville to new york. The distance it travels in miles, d, is related to the time in seconds, t, by the equation: d=0.12t. How many miles is it flying per second?
Answer:
0.12 miles is it flying per second.
Step-by-step explanation:
The distance d is related to time t in seconds is given by the equation as follows :
d =0.12 t
We need to find how many miles is it flying per second.
[tex]\dfrac{d}{t}=0.12\\\\\dfrac{\text{miles}}{\text{second}}=0.12[/tex]
So, the speed of the airplane is 0.12 miles per second, Hence, 0.12 miles is it flying per second.
Landen's front lawn measures 20 feet by 80 feet. He counts to find that there are
120 blades of grass per square inch. How many blades of grass are in the entire
lawn?
Answer:
[tex]27,648,000[/tex]
Step-by-step explanation:
The area of a rectangle is given by [tex]l\cdot w[/tex]. Landen's 20 feet by 80 feet front lawn therefore has an area of [tex]20\cdot 80 = \fbox{$1600\: \mathrm{ft^2}$}[/tex].
He counts there are 120 blades of grass per square inch. There are [tex]12^2=144[/tex] square inches in one square foot.
Therefore, his lawn has an area of [tex]1600\: \mathrm{ft^2}\cdot \frac{144\:\mathrm{in^2}}{1\:\mathrm{ft^2}}=230,400\:\mathrm{in^2}[/tex].
Thus, there are [tex]230,400\:\mathrm{in^2}\cdot 120=\fbox{$27,648,000$}[/tex] blades of grass in the entire lawn.
Which ordered pair is not a solution to the equation y = 2x?
Answer:
Step-by-step explanation:
Y=1/2y
Pleasee helpp with this
!:))
Answer:
[tex]x=42[/tex]
Step-by-step explanation:
Use this to remember the trigonometry ratios:
SOH-CAH-TOA
Because:
Sine=Opposite/Hypotenuse → SOH
Cosine=Adjacent/Hypotenuse → CAH
Tangent=Opposite/Adjacent → TOA
Use the inverse of the tangent ratio since you need to find the angle measure.
:D Tehe
Answer:
x approximately equals 42.0
Step-by-step explanation:
give other person brainliesttt
The sum of two consecutive integers is 471.
what is the equation
Answer:
x+(x+1)=471
Step-by-step explanation:
y=6x + 100
help i don’t know this
what is the rate of change for this equation
Hand me over the answers of B and C or perish
A House needs to some maintenance one sink is dripping water every 10 minutes and the other sink is dripping every 12 minutes if both sink dripped at the same time how many minutes until they both drip at the same time again
Answer:
60 minutes
Step-by-step explanation:
We solve this question using Lowest Common Factor method
Find and list multiples of each number of minutes( 12 and 10 minutes) until the first common multiple is found. This is the lowest common multiple.
Multiples of 10:
10, 20, 30, 40, 50, 60, 70, 80
Multiples of 12:
12, 24, 36, 48, 60, 72, 84
Therefore,
LCM(10, 12) = 60
The number if minutes until they both drip again is 60 minutes
I NEED ANSWERS TO THESE QUESTIONS IT WAS DUE 5 mins ago and i have TILL 8:30 TO GET THEM DONE SOMEONE HELP A GIRL OUT
6. A
7. C
8. C
9. B
-FWEW
marking Brainlist 7-9g+3g
Answer:
7-6g
Then you do the 1 step equation.
Divide both sides by 6.
1.16=g
I'm not sure if it's right.
pls i need help what is 1 plus 1?
1+1 = 84, explanation is quite simple. i should get brainliiest
A square was altered so that one side is increased by 9 inches in the other side is decreased by 2 inches. The area of the resulting rectangle is 6o in 2 what was the area of the
Answer:
area of the original square = 36 in²
Step-by-step explanation:
given data
one side is increased = 9 inches
other side is decreased = 2 inches
area of the resulting rectangle = 60 in²
solution
we consider here x as the length of any one side
and
longer side of the resulting rectangle = x + 9
and
the shorter side x - 2
so that area of this rectangle is (s+9) × (s-2) = 60 in²
standard form of equation is x² + 7x - 18 = 60 .....................1
it will be
x² + 7x - 78 = 0
(s+13) (s-6) = 0
so that here x = -13
and x = 6
here we Discard x = -13 because the side length cannot be negative.
so x = 6
and area of the original square = 36 in²
Which equation represent a circle with a center at (2,-7) and a radius of 4 units ?
Answer:
[tex] {(x - 2)}^{2} + {(y + 7)}^{2} = 16[/tex]
Step-by-step explanation:
[tex] {(x - 2)}^{2} + {(y + 7)}^{2} = 16[/tex]
HELP: The table shows the relationship between x, the number of hours driven
and y, the total miles traveled. Find the value of y when x is 5.
Suppose translating triangle ABC by 5 units to the right and 5 units down results in a new triangle A'B'C. Which statements are
correct?
Answer: ABC
Step-by-step explanation:
I took it
Answer:
A) segments AB is parallel to segment A’B’.
B) A and A’ have the different coordinates.
C) <C and <C’ have the same measures.
Step-by-step explanation:
. The sum of two consecative integers is three times of their difference. what is the
smoller number
3
2
4
1
Answer:
The smallest number is 1
Step-by-step explanation:
1+2=3
2-1=1
1•3=3
A shipping box has the dimensions shown 1/4 1/4 and 1/2, What is the volume of the box in cubic yards.
First 3 people get a brainly
Step-by-step explanation:
what is the unit of measurement for the 1/4, 1/4, and 1/2?
I would really appreciate it if someone could help and explain too, please
Answer:
A. $101/month
Step-by-step explanation:
From January to February, it changes by 195
From February to March, it changes by -72
From March to April, it changes by 180.
Now, you just find the average of these three numbers.
195 - 72 + 180 = 303
303 / 3 = 101
This means that the answer is A. $101/month
It took 4 hours to drive 240 miles. At this rate, how long does it take to drive 150 miles?
Answer:
The correct answer is 11/2.
Answer:2 hours and 30 minutes
Step-by-step explanation:
they drive 60 miles in a hour.
Show if 2 is a SOLUTION or NOT a SOLUTION to the equation 0.5(x + 0.8) = 1.4
Step-by-step answer:
0.5(x+0.8)=1.4
0.5x+0.4=1.4
0.5x+0.4-0.4=1.4-0.4
0.5x=1
0.5x/0.5=1/0.5
x=2
Plzzzzz give me Brainliest!!!!!
The diagram shows a trapezoid prism.
The area of the cross-section is 55cm.
The volume of the prism is 330cm
Find the length of the prism.
Given:
The area of the cross-section is 55cm².
The volume of the prism is 330cm³.
To find:
The length of the prism.
Solution:
We have,
Area of the cross-section = Area of base = 55 cm²
Volume of the prism = 330cm³.
Let x be the length(height) of the prism.
We know that,
[tex]\text{Volume of prism}=\text{Base area}\times height[/tex]
[tex]330=55\times x[/tex]
[tex]\dfrac{330}{55}=x[/tex]
[tex]6=x[/tex]
Therefore, the length of the prism is 6 cm.
You buy a house that costs $345,000. You put down a downpayment of 20%. You borrow the rest from the bank, who charges an annual interest rate of 4.6%. If you pay this back in 30 years, how much did the house cost you in total? A=p(1+rt) format
Answer:
Total cost of the house = $725,880
Step-by-step explanation:
This can be calculated as follows:
Down payment = $345,000 * 20% = $69,000
Amount borrowed = $345,000 * (100% - 20%) = $276,000
The total amount of loan repaid can be calculated using the following formula:
A = p(1 + rt) .................... (1)
Where;
A = Total amount of loan repaid = ?
p = Principal or amount borrowed = $276,000
r = annual interest rate = 4.6% = 0.046
t = number of years = 30
Substitute the values into equation (1), we have:
A = $276,000 * (1 + (0.046 * 30)) = $656,880
The total cost of the house can now be calculated as follows:
Total cost of the house = Down payment + Total amount of loan repaid = $69,000 + $656,880 = $725,880
PLEASE ANSWER I WILL MARK AS BRAINLIESTTTTTT
Simplify the expression by combining like terms.
43a−12b+13a+52b
Enter your answer as an expression, like this: 42x+53
Answer:
56a + 40b
Step-by-step explanation:
hope this helps!
Answer: 56a + 40b
Step-by-step explanation:
43a - 12b + 13a + 52b
Bring like terms together
43a + 13a - 12b + 52b
Combine like terms
56a + 40b
Hope that helped!
By leading figure estimation, approximate the value of 5 850÷22
Which of the following is the equation of the line shown graphed below?
Answer:
Is the 4
Step-by-step explanation:
PLEASE HELP I WILL GIVE BRAINLEIST PLEASE ALSO SHOW STEPS!!!!!!
Write the equation of a line that passes through the point (-1,5) and has a slope of -7. Your answer should be given in the form y = mx + b
Answer:
The equation of a line that passes through the point (-1,5) and has a slope of -7 will be:
y = -7x-2Step-by-step explanation:
The slope-intercept form of the line equation
[tex]y = mx+b[/tex]
where
m is the slopeb is the y-interceptGiven
The point (-1, 5)Slope m = -7substituting m = -7 and the point (-1, 5) in the slope-intercept form of the line equation
[tex]y = mx+b[/tex]
5 = -7(-1) + b
5 = 7+b
b = 5-7
b = -2
Thus, the y-intercept is: b = -2
now substituting b = -2 and m = -7 in the slope-intercept form of the line equation
y = mx+b
y = -7x+(-2)
y = -7x-2
Therefore, the equation of a line that passes through the point (-1,5) and has a slope of -7 will be:
y = -7x-2Convert the following repeating decimal to a fraction in simplest form.
.27
21
Select the correct answer.
Which will help you when you file a claim for home insurance?
A.
home loan
B.
home budget
C.
home inventory
Reset
Next
Answer:
Home inventory lol
Step-by-step explanation:
Given g(x) = -5x + 5, solve for 2 when g(x) = -10
Answer:
Set up the composite function and evaluate.
g(−5x+5)=25x−20
Step-by-step explanation: