Find the value of x for which ABCD must be a parallelogram.
1
7
14
28
Note:This better be worth my 27 points
Answers
Answer:
A. 1
Step-by-step explanation:
18-4x=7x+7
Use this equation to find x.
Simplify.
18-4x=7x+7
Subtract 7 from both sides.
11-4x=7x
Add 4x to both sides.
11=11x
Divide 11 from both sides.
x=1
Hope this helps!
Related Questions
The number y of objects a machine produces is proportional to the time x (in minutes) that the machine runs. The machine produces five objects in four minutes.
a. Write an equation that represents the situation.
Hellllppp me please!!!!!!!!!!!
Answers
The equation that represents the situation will be 4y = 5x.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
The number y of objects a machine produces is proportional to the time x (in minutes) that the machine runs.
The machine produces five objects in four minutes.
Let y be the number of objects and x be the number of the minutes.
Then the equation that represents the situation will be
y = (5/4)x
4y = 5x
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3 men build a wall in 2 days.
How long will it take
a) 1 man
b) 2 men?
Please show working
Answers
Answer:
Step-by-step explanation:
Big clever stuff 100 men in 1 second tick tick boom
Assuming each man consistently produces the same amount of effort
then 1 man will take 6/1 = 6 days
and 2 men will take 6/2 = 3 days
Juan wants to change the shape of his vegetable garden from a square to a rectangle, but keep the same area so he can grow the same amount of vegetables. The rectangular garden will have a length that is 2 times the length of the square garden, and the width of the new garden will be 16 feet shorter than the old garden.
Answers
Answer:
The answer is 32
Step-by-step explanation:
A recipe calls for 11 tablespoons of sugar and 22 teaspoons of salt. How many
teaspoons of salt are needed for just one tablespoon of sugar?
On the double number line below, fill in the given values, then use multiplication or
division to find the missing value:
Answers
It will require 2 tablespoons of salt for just 1 tablespoon of sugar for the combination.
What are word problems?Word problems are a systematic approach used in mathematics for solving real-life cases by determining unknown values.
From the given information:
If it takes 11 tablespoon + 22 teaspoon to make 1 recipe.i.e.
11 tablespoon of sugar + 22 teaspoon of salt = 1 recipe
Then it will require 2 tablespoons of salt for just 1 tablespoon of sugar.
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Lea wants to save money on a new computer. At the store near her, the computer she wants is listed at a regular price of $400.00.
On Saturday, the store will have a sale and discount the computer by 30%.
Shoppers who buy a computer that same Saturday before 9:00 a.m. will also receive an additional 10% off the sale price.
How much will Lea pay, without tax, when she buys the computer that Saturday before 9:00 a.m.?
Answers
Answer:
Step-by-step explanation:
you take 30% and 10% and turn them into decimal like so:
30/100=0.3
10/100=0.1
400.00(0.3)=120.00
120(0.1)=12
Find the area of the shaded regions.
Answers
Answer:
Area = 84.8 cm²
Step-by-step explanation:
It appears that the line BO is equal to the radius. It also looks like the missing region is equal to 1/4 of the entire area. Therefore, to find the area of the shaded region, you need to (1) find the area of the entire circle and then (2) find the area of 3/4 of the circle.
Area of Circle:
r = 6 cm
A = πr²
A = π(6 cm)²
A = π(36 cm²)
A = 113 cm²
Area of Shaded Region:
Area (Entire Circle) x 3/4 = Area (Shaded Region)
113 cm² x 3/4 = 84.8 cm²
Find the measure of the angles indicated
Answers
Both angles have a measure of 125°.
How to find the measure of the angles?
Assuming the two horizontal lines are parallel, we know that the measure of the two indicated angles must be the same one.
Then:
-1 + 14x = 12x + 17
Now we need to solve this for x:
14x - 12x = 17 + 1
2x = 18
x =18/2 = 9
Now that we know the value of x we can replace it in any of the expressions for the angles:
-1 + 14*9 = 125°
Both angles have a measure of 125°.
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I need help to find the justification for this problem!
Answers
The tangents that exists between the two given circles are not common tangents because they are not of the same size or circumference.
What is a tangent?A tangent can be defined as the plane line that touches a curved surface such as a circle but doesn't pass through the circle.
From the diagram given, the two circles are not of the same size, that is, they have different circumstances. This means that the point where the line meets the both circles are not the same.
Therefore, the tangents that exists between the two given circles are not common tangents.
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Tiger Biscuits factory planing to produce 10,000 units in Month Standard time per 200 units is 8 hours! the Company pays. Rs. 40 per her.
Answers
The total cost or amount that Tiger Biscuits will pay will be Rs 16000.
How to calculate the cost?From the information given, the factory is planing to produce 10,000 units and the standard time per 200 units is 8 hours.
The time taken to produce 10000 units will be:
= (10000/200) × 8
= 400 hours.
The amount that the company will pay will be:
= 400 × Rs 40
= Rs 16000
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Which of the following represents x = 1/3y written in general form?
Answers
The general form of the given equation is 3x-y=0.
The given equation is [tex]x=\frac{1}{3}y[/tex].
We need to write the given equation in a general form.
What is a general form of an equation?The general form of any equation contains the degree of variables in decreasing order. The general form of a linear equation is ax + b = 0.
That is, [tex]3x=y[/tex]
[tex]3x-y=0[/tex].
Hence, the general form of the given equation is 3x-y=0.
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Given: AD∥BC and AB∥CD
Prove: AD≅BC and AB≅CD
Answers
Answer:
BC || AD and AB || CD (given)
∠BCA ≅ ∠DAC 2. As alt.interior angles with parallel lines
∠BAC ≅ ∠DCA 3. As alt.interior angles with parallel lines
AC ≅ AC (identity)
△ABC ≅ △CDA (ASA)
AB = CD (CPCT C)
Jackrabbits are capable of reaching speeds up to 40 miles per hour. How fast is this in feet per second? (Round to the nearest whole number.)
Answers
A group of students and workers entering a metro station were asked whether they were riding the bus or the subway. The two-way table shows their answers.
How many people were polled?
A. 48
B. 69
C. 118
D. 166
Answers
1st way: Identifying the missing solution by rows.
27 + 21 = 48 and 42 + 76 = 118, so we can find the missing value by adding 69 and 97 to get 166.
2nd way: Identifying the missing solution by columns.
27 + 42 = 69 and 21 + 76 = 97, so we can find the missing value by adding 48 and 118 to get 166, our missing solution.
Your final answer: 166 people were polled. Your answer would be D. If you need to better understand this, let me know and I will gladly assist you.
Short answer:
69+97=166 or
48+118=166
Prove that the triangles formed due to the diagonal of rectangle are congruent to one another
Answers
A parallelogram in which adjacent sides are perpendicular to each other is called a rectangle.The triangles formed due to the diagonal of the rectangle are congruent to one another.
What is a rectangle?A parallelogram in which adjacent sides are perpendicular to each other is called a rectangle. A rectangle is always a parallelogram and a quadrilateral but the reverse statement may or may not be true.
For the given rectangle ABCD, the length of the diagonals AC and BD can be written as,
AC = √(x² + y²)
BD = √(x² + y²)
Now, the triangles formed due to the diagonals AC and BD are ΔABC and ΔBCD. Also, for ΔABC and ΔBCD we can write,
∠ABC = ∠BCD = 90°
AB = CD = x {Oppsite sides of the rectangle are equal}
BC = AD = y {Oppsite sides of the rectangle are equal}
Hence, the two triangles are equal. Therefore, the triangles formed due to the diagonal of the rectangle are congruent to one another.
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please help me with math
Answers
The area of triangle BMN is 124.7 square centimeter.
What are similar triangles?Similar triangles are triangles that their corresponding angles are equal and the ratio of their corresponding lengths are equal. They are often similar When at least Two angles are equal or The ratio of any corresponding lengths are same.
Analysis:
AB = AC = BC = 50cm
AH = AC/2 = 50/2 = 25cm
From Δ ABH, using Pythagoras theorem to find BH.
[tex](BH)^{2}[/tex] = [tex](AB)^{2}[/tex] - [tex](AH)^{2}[/tex]
[tex](BH)^{2}[/tex] = [tex]50^{2}[/tex] - [tex]25^{2}[/tex]
[tex](BH)^{2}[/tex] = 2500 - 625
[tex](BH)^{2}[/tex] = 1875
BH = [tex]\sqrt{1875}[/tex] = 43.3cm
ΔBMN and BHC are similar,
so, BM/BH = MN/HC
BM/43.3 = 12/25
25BM = 12 X 43.3
BM = 519.6/25 = 20.78cm
Area of ΔBMN
= 1/2(MN)(BM) = 1/2 x 12 x 20.78 = 124.7 square centimeter
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Which best explains whether a triangle with side lengths 2 in., 5 in., and 4 in. is an acute triangle?
The triangle is acute because 22 + 52 > 42.
The triangle is acute because 2 + 4 > 5.
The triangle is not acute because 22 + 42 < 52.
The triangle is not acute because 22 < 42 + 52.
Answers
Answer:
The triangle is not acute because 2² + 4² < 5².
Step-by-step explanation:
Answer:
The triangle is not acute because 2² + 4² < 5²
Step-by-step explanation:
got it correct on my quiz
Simplify the following expression as a
monomial:
-8a8
———-
-2a7
Answers
Answer:
4a
Step-by-step explanation:
-8 / -2 = 4
a^8/a^7 = a^(8 - 7) = a
Answer: 4a
Please help me with this geometry question, Im pretty sure you need to use SAS congruence rule
Answers
Congruent triangles are two or more triangles with the same length of sides and measure of internal angles. Thus the required proof is as shown below:
From the given diagram, it can be observed that:
AB = AC (similar property of two lines)
AC = AE (similar property of two lines)
Also,
m<A is a common angle to ΔABC and ΔADE
So that it can be concluded that;
ΔABC ≅ ΔADE (Side-Angle-Side property)
Thus since ΔABC ≅ ΔADE are congruent, then;
BC = DE (corresponding sides of congruent triangles)
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See below for the proof that sides BC and DE are congruent
How to prove the side lengths?The given parameters are:
AC = AE
AB = AD
∠BAD = ∠EAC
By the definition of congruence, side lengths marked with I are congruent and side lengths marked with II are congruent
From the attached figure, we have the following marks:
In triangle ABC,
AB = I and AC = II
In triangle ADE,
AD = I and AE = II
This means that two corresponding sides of ABC and ADE are congruent.
Since both triangles have a congruent angle, then the last corresponding sides are also congruent
i.e. BC = DE
Hence, sides BC and DE are congruent
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A student can pitch a fast ball at 65 miles per hour. Convert this
speed to yards per second.
O 95.33 yd/sec
O 132.95 yd/sec
O 31.77 yd/sec
O 21.67 yd/sec
Answers
Answer:
31.77 yd/sec
Step-by-step explanation:
Conversions:
1 mile = 1760 yards1 hour = 3600 secondsGiven:
[tex]\sf 65\:miles\:per\:hour=65\:miles/hour=\dfrac{65\:miles}{hour}[/tex]
Therefore, to convert 65 mph to yards per second:
[tex]\implies \sf \dfrac{65\:miles}{hour}=\dfrac{65 \times 1760\:yards}{3600\:seconds}=31.777...\:yd/s[/tex]
Answer:
c.) 31.77... yd/sec
Explanation:
Given: 1 hours → 65 miles
Conversions:
(i) 1 hour = 60 minutes = 3600 seconds
(ii) 1 miles = 1760 yards
Then,
1 hour = 3600 seconds65 miles = (1760 × 65) = 114400 yards Speed:⇒ distance/speed
⇒ 114400/3600
⇒ 31.77777...
⇒ 31.77 yd/sec
Two digit natural number whose sum is 5
When the tens place digit is x write in terms of x
Answers
The value of the given 2 digits number when the tens place digit is x write in terms of x is; 10x + y
How to find a two digit number?
We are given that the sum of a two digit number is 5.
Now, if the number is xy, then we can say that;
x + y = 5
Since x is the tens place digit, then we can say that the value of x is 10x and as such the value of the 2 digits is written as;
10x + y
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Create diagrams to represent the possible cases for common tangents between two circles. Your diagram can be created using multimedia sources or drawn by hand. They should not be copied and pasted from a website. Explain why your diagrams satisfy the given criteria.
No Common Tangents (10 points)
Diagram:
Justification:
Answers
The diagram to represent the possible cases for common tangents between two circles is as shown in the attachment.
How to Create Common Tangents?
A tangent line to a circle is defined as a line that touches the circle at exactly one point, never entering the circle's interior.
1. When one circle is in between another and one circle does not touch the other one, then tangent is not possible.2. When one circle is in between another and one circle touches the other one at a point inside the circle, then only one tangent is possible.3. When one circle intersects the other one, then two tangents are possible.4. When one circle touches the other one at a point outside, then three tangents are possible.5. When one circle neither intersects the other one nor inside the other one, then four tangents are possible.Thus, the diagram to represent the possible cases for common tangents between two circles are as attached below.
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5. Try It #5
If f(x) is a linear function, with f(2)=-11, and f(4)=-25, find an equation for the function in slope-intercept form.
Answers
The function in slope-intercept form is mathematically given as
f(x)=14x+154
What is an equation for the function in slope-intercept form.?
Parameters
f(2)=-11,
f(4)=-25
Generally, the equation for the slope is mathematically given as
[tex]m=\frac{-25+11}{2-}[/tex]
m=7
In conclusion, the line equation
y-2=7(x-+11)
y as subject
y=14x+154
f(x)=14x+154
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Using a table of values, determine the solution to the equation below to the nearest fourth of a unit.
2-5x=2x - 3
=
OA. X 0.75
OB. x= -0.75
OC. x 1.25
OD. x= -1.25
2
Answers
The solution to the equation below to the nearest fourth of a unit is 0.75
Solving linear equationGiven the linear equation below expressed as:
2-5x=2x - 3
Collect the like terms
-5x - 2x = -3- 2
-7x = -5
Divide both sides by -7 to have:
-7x/-7 = -5/-7
x = 5/7
x = 0.75
Hence the solution to the equation below to the nearest fourth of a unit is 0.75
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Carissa pays $2.10 each day for lunch. her money is in an account that is deducted each time she buys a lunch. there are 6 days until the end of the school year and her account has $12.75 in it. how much money will she get back at the end of the year?
Answers
Answer:
15¢
Step-by-step explanation:
$12.75 - 6 × $2.10 = $12.75 - $12.60 = $0.15
Answer: 15 cents
-8√147x simplify do you know how to answer this?
Answers
Answer:
-56√3x
Step-by-step explanation:
√147 = 7√3
-8(7√3x)
-56√3x
Hassan wants to ride his bicycle 26.8 miles this week. He has already ridden 6 miles.
If he rides for 4 more days, what is the average number of miles he would have to ride
each day to meet his goal?
Answers
AnsTHE OTHER GUY GOT IT RIGHT SORRY I DID THE MATH WRONG :( Step-by-step explanation:
Answer:
5.2 miles
Step-by-step explanation:
Distance left to ride = 26.8miles - 6 miles = 20.8 miles
There are 4 days left, so on average,
Hassan has to ride:
[tex] \frac{20.8}{4} \\ = 5.2mi[/tex]
HELP ASAP!!!
REASONS ONLY
Given: ABCD is a parallelogram, FC is congruent to EC, DE bisects BC and BF bisects DC Prove: ABCD is a rhombus
Answers
The above question is a mathematical proof of the relationship between Lines and angles related to a Rhombus. See the proof below.
What is a Rhombus?A Rhombus is a parallelogram with four sides (that is a quadrilateral). It's sides however are all of equal length.
What is the above proof?∠DEC ≅ ∠BFC Reason = All Right Angles with Equal dimensions are congruent.∠C ≅ ∠C Reason = It is the same angle for the two Right angles above which are congruent, hence Reflexive Property.Δ DEC ≅ Δ BFC Reason = Angle Angle Side. The triangles are said to be congruent when two angles and a non-included side of one triangle match the corresponding angles and sides of another triangle.[tex]\overline {DC}[/tex] ≅ [tex]\overline {BC}[/tex] Reason = The corresponding parts of congruent triangles are congruent. Also, it is a parallelogram with all congruent sides.ABCD is a Rhombus Reason = Its sides are all congruent.Learn more about Rhombus at;
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What is the range of Y = l0g8X?
O all real numbers less than 0
O all real numbers greater than 0
O all real numbers not equal to 0
all real numbers
Answers
Step-by-step explanation:
all real numbers not equal to 0
all real numbers
Step-by-step explanation:
[tex]What \ is\ the \ range \ of \ y = log_8x?\\x > 0 \ or\ x\in(0;\infty).\\Answer: \ all \ real \ numbers \ greater\ than \ 0.[/tex]
Five little girls taken in couples weigh 129 pounds, 125 pounds, 124 pounds, 123 pounds, 122 pounds, 121 pounds, 120 pound, 118 pounds, 116 pounds and 114 pounds on a weighing machine. What was the weight of each one of the five little girls if taken separately
Answers
The weight of each one of the five little girls if taken separately is 242.4 lb.
Weight of each girl when taken separatelyThe weight of each girl can be determined from the average weight of the girls.
Weight of each girl = (Total weight) / number of girls
W = (129 + 125 + 124 + 123 + 122 + 121 + 120 + 118 + 116 + 114)/5
W = 1,212/5
W = 242.4 lb
Thus, the weight of each one of the five little girls if taken separately is 242.4.
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9r-4(-5r-5)<-9r+10+5
Answers
[tex]9r-4(-5r-5)<-9r+10+5\\9r+20r+20<-9r+15\\29r+20<-9r+15\\38r<-5\\r<\frac{-5}{38}[/tex]
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