In the diagram below, PQ and RS are parallel. Based on the angle measures in the diagram, what is the value of X?
Answers
Answer:
x would be equal to 70 grades
Step-by-step explanation:
The angle QRS is equal to 180 - 130 = 50 grades.
We add up that with the other 60 grades on the left, and we encounter ourselves with a simple equation:
60 + x + 50 = 180
x = 70
Hope this was helpful
Related Questions
The sum of two numbers is 25. One number is twice the seond number plus seven.
What are the two numbers?
Answers
because 6x2=12
12+7=19
19+6=25
Can someone answer this no bots please I will give you brainliest… please
Answers
Answer: Alice
Step-by-step explanation: Alice won because she started furthest From the starting line.
A large container in the shape of a rectangular solid must have a volume of 480 m3. The bottom of the container costs $5/m2 to construct whereas the top and sides cost $3/ m2 to construct. Use Lagrange multipliers to find the dimensions of the container of this size that has the minimum cost
Answers
The dimension of the container of this size that has the minimum cost is [tex]x = \sqrt[3]{360}[/tex], [tex]y = \sqrt[3]{360}[/tex] and [tex]z =\frac{4}{3} \sqrt[3]{360}[/tex]
The given parameters are:
Volume = 480m^3Cost: $5 per square meter for the bottom, and $3 per square meter for the sides.Assume the dimensions of the container are: x, y and z.
The volume (V) would be:
[tex]V = xyz[/tex]
Substitute 480 for V
[tex]xyz =480[/tex]
And the objective cost function would be:
[tex]C =8xy + 6xz + 6yz[/tex]
Differentiate the cost function using Lagrange multipliers
[tex]8x + 6z = \lambda xz[/tex]
[tex]8y + 6z = \lambda yz[/tex]
[tex]6x + 6y = \lambda xy[/tex]
Divide equation (1) by (2)
[tex]\frac{8x + 6z}{8y + 6z} = \frac{\lambda xz}{\lambda yz}[/tex]
[tex]\frac{8x + 6z}{8y + 6z} = \frac{x}{y}[/tex]
Factor out 2
[tex]\frac{4x + 3z}{4y + 3z} = \frac{x}{y}[/tex]
Cross multiply
[tex]4xy + 3yz = 4xy + 3xz[/tex]
Evaluate the like terms
[tex]3yz = 3xz[/tex]
Divide both sides by 3z
[tex]y = x[/tex]
Divide the first equation by the third
[tex]\frac{8y + 6z}{6x + 6y} = \frac{\lambda yz}{\lambda xy}[/tex]
[tex]\frac{8y + 6z}{6x + 6y} = \frac{z}{x}[/tex]
Factor out 2
[tex]\frac{4y + 3z}{3x + 3y} = \frac{z}{x}[/tex]
Cross multiply
[tex]4xy+3xz = 3xz + 3yz[/tex]
Cancel out the common terms
[tex]4xy = 3yz[/tex]
Divide both sides by y
[tex]4x = 3z[/tex]
Make z the subject
[tex]z =\frac{4}{3}x\\[/tex]
So, we have:
[tex]y = x[/tex] and [tex]z =\frac{4}{3}x\\[/tex]
Recall that:
[tex]xyz =480[/tex]
Substitute [tex]y = x[/tex] and [tex]z =\frac{4}{3}x\\[/tex]
[tex]x \times x \times \frac 43x = 480[/tex]
So, we have:
[tex]\frac 43x^3 = 480[/tex]
Multiply both sides by 3/4
[tex]x^3 = 360[/tex]
Take the cube roots of both sides
[tex]x = \sqrt[3]{360}[/tex]
Recall that:
[tex]y = x[/tex]
So, we have:
[tex]y = \sqrt[3]{360}[/tex]
Also, we have:
[tex]z =\frac{4}{3}x\\[/tex]
So, we have:
[tex]z =\frac{4}{3} \sqrt[3]{360}[/tex]
Hence, the dimension of the container of this size that has the minimum cost is [tex]x = \sqrt[3]{360}[/tex], [tex]y = \sqrt[3]{360}[/tex] and [tex]z =\frac{4}{3} \sqrt[3]{360}[/tex]
Read more about Lagrange multipliers at:
https://brainly.com/question/4609414
Help me out please!!!!!!
Answers
Step-by-step explanation:
y = 2x + 9
y = -x - 3
there are multiple ways to solve this.
let's follow the approach that both x-expressions must be equal :
2x +9 = -x - 3
3x = -12
x = -4
y = -x - 3 = 4 - 3 = 1
A palm tree is 30 feet tall and casts a 48 foot shadow. The woman standing next to the palm tree casts a shadow similar to that of the palm tree. How tall is the woman if she casts an 8 foot shadow?
Answers
Answer:
48 feet foot I took the testttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttt oh yeah yeah yeah
Step-by-step explanation:
12.5(20 + 35) - 38(16)
Answers
Answer:
79.5
Step-by-step explanation:
20+35=55
38*16=608
12.5*55=687.5
687.5-608=79.5
Hope this helps! Plz give brainliest! Also, pls sub to kgirl633 on yt.
Answer: 79.5
Step-by-step explanation:
A town has two shopping malls. A survey conducted on the shopping preferences of the town's residents showed that 62% of the residents visit Comet Mall, 73% of the residents visit Star Mall, and 48% of the residents visit both malls. The probability that a resident is chosen at random shops at either Comet Mall or at Star Mall is
Answers
Using Venn probabilities, it is found that:
The probability that a resident is chosen at random shops at either Comet Mall or at Star Mall is 0.87 = 87%.In this problem, the events are:
Event A: Visits Comet Mall.Evenet B: Visits Star Mall.In this problem:
62% of the residents visit Comet Mall, hence [tex]P(A) = 0.62[/tex].73% of the residents visit Star Mall, hence [tex]P(B) = 0.73[/tex].48% of the residents visit both malls, hence [tex]P(A \cap B) = 0.48[/tex]The probability of either is:
[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]
Hence:
[tex]P(A \cup B) = 0.62 + 0.73 - 0.48 = 0.87[/tex]
The probability that a resident is chosen at random shops at either Comet Mall or at Star Mall is 0.87 = 87%.You can learn more about Venn probabilities at https://brainly.com/question/25698611
Answer:
87%.
Step-by-step explanation:
The probability that a resident chosen at random shops at either Comet Mall or at Star Mall is 87%.
For a basic subscription, a cable television provider charges an activation fee of $60, plus $125 per month. What linear function represents the total cost of a basic cable subscription for t months? What is the total cost for two years of service?
Answers
Answer:
t=23
Step-by-step explanation:
What is the area, in square centimeters, of the shape below?
Express your answer as a fraction in simplest form.
Answers
Therefore, the area of the triangle is 4/9 cm².
Hoped this helped.
[tex]BrainiacUser1357[/tex]
Calculate the area of the triangular region determined by the points D(-4,3) E(-7,-8) F(-2, -3)
Answers
Answer:
The area is 27
Step-by-step explanation:
Area =1/2 [x1(y2 - y3) + x2(y3 - y1) + x3(y1 - y2)]
Area =1/2 [2(-6 - 8) + 3(8 - 4) + 7(4 + 6)]
=1/2 [2(-14) + 3(4) + 7(10)]
=1/2 (-28 + 12 + 70)
=1/2 (54)
Area = 27
Samir bought 6 equally priced pencils for $2.10.
How much will 10 of these pencils cost?
$1.26
$2.63
$2.86
$3.50
Answers
Price of 6pencils=2.10
Price of one pencil
[tex]\\ \sf\longmapsto 2.10/6=0.35[/tex]
Price of 10pencils
[tex]\\ \sf\longmapsto 0.35(10)=\$3.5[/tex]
The cost of ten pencils is $3.50.
Given
Samir bought 6 equally priced pencils for $2.10.
Unit rate;A rate is a ratio that is used for comparing two different kinds of quantities which have different units.
The cost of 1 pencil is;
[tex]\rm =\dfrac{2.10}{6}\\\\=0.35[/tex]
Therefore,
The cost of 10 pencils is;
[tex]= 10 \times 0.35\\\\=3.50[/tex]
Hence, the cost of ten pencils is $3.50.
To know more about unit rate click the link given below.
https://brainly.com/question/11258929
The steps for solving 7x + 3 = 52 are shown. Explain how each step helps solve the
equation. Include the phrases, "Isolate the variable by -" "Simplify," and "Isolate
the variable term by -" in your answers.
Original equation
7x +3 - 52
7x +3-3-52-3
7x = 49
7x49
TT
x = 7
Answers
Answer:
The steps for solving 7x + 3 = 52 are shown. Explain how each step helps solve the
Step-by-step explanation:
Simplifying
7x + 3 = 52
Reorder the terms:
3 + 7x = 52
Solving
3 + 7x = 52
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3' to each side of the equation.
3 + -3 + 7x = 52 + -3
Combine like terms: 3 + -3 = 0
0 + 7x = 52 + -3
7x = 52 + -3
Combine like terms: 52 + -3 = 49
7x = 49
Divide each side by '7'.
x = 7
Simplifying
x = 7
Enter the value of x + 27.
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1
o
1x + 27)
67°
Answers
1) Commutative Property of addition and multiplication: (Commutative, x; Commutative, +) ... 24) -6 + 10 = 4 25) - 8 - 12 = 20 26) -8 +6= -2 27) -7 - 5= -12.
HELPP PLS I NEED THIS WUICK ILL GIVE BRAINLEST
Answers
Answer:
x = 20
Step-by-step explanation:
(2x+10) = 180 - 130
2x + 10 = 50
2x= 40
x = 20
hope this helps! :)
On Monday Tiffany spent 5 2/8 hours studying. On Tuesday she spent another 2 1/8 hours studying. What is the combined length of time she spent studying
Answers
Answer:
7 3/8 hours
Step-by-step explanation:
5 + 2 = 7
2/8 + 1/8 = 3/8
Therefore, 7 + 3/8 =
7 3/8 hours
Over six months, a family's electric bills averaged $55 per month. The bills for
the first five months were $57.60, $60, $53.25, $50.75, and $54.05. What was
the electric bill in the sixth month? Find the median, mode, and range of the
six electric bills.
Answers
$54.35
Step-by-step explanation:
The differences from the average value are;
2.60, 5.00, -1.75, -4.25, -0.95
The total of these differences is +0.65, so the final bill must have a value that is $0.65 lower than the average.
The bill for the 6th month is $54.35.
_____
Check
The average of the bills for 6 months is;
(57.60 +60 +53.25 +50.75 +54.05 +54.35)/6 = 330/6 = 55
the sum of kyras and calebs age is 37. calebs age is equal to twice the quantity of kyras age decreased by 4. let k represent kyras age.
Answers
Kyras - k
k+c=37
c=2k-4
k+(2k-4)=37
3k=41
k=41/3= ~13.67 years old
c=37-k
c=(111-41)/3
c=70/3=~23.33 years old
A rug in the classroom is 3/4 yard wide and 8/6 yards long. What is the area of the rug in square yards?
PLEASE BE ANSWERED IN 30 MINS TOPS
Answers
Answer:
i think area of the rug is 1 square yards
Step-by-step explanation:
area = 3/4×8/6
area = 2/2
area = 1 square yards
Which table correctly lists the reasons to prove angle 1 approximately equal to angle 3 comma given that stack A B with left right arrow on top intersects stack C D with left right arrow on top ?
Answers
Based on the right application of the reflexive property and subtraction property of equality, the table that correctly lists the reasons to prove that m∠1 ≅ m∠3 is: the table in option B (See attachment below).
The reflexive property of equality states that:
a + b = a + b.
Since m∠1 + m∠2 = 180°, and m∠2 + m∠3 = 180°, therefore, based on the reflexive property, we would have:
m∠1 + m∠2 = m∠2 + m∠3.
Thus, subtracting m∠2 from both sides of the equation will leave us with: m∠1 = m∠3 (subtraction property of equality).
Therefore, based on the right application of the reflexive property and subtraction property of equality, the table that correctly lists the reasons to prove that m∠1 ≅ m∠3 is: the table in option B (See attachment below).Learn more about the reflexive property on:
https://brainly.com/question/1601404
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Find the sum of 32 2/9+ 23 4/9
Answers
Answer:
The answer is 55 6/9, but when simplified, it is 55 1/3
Segment AB and CD intersect at point E, measure of angle ABC =6x+20 and measure of angle DEB=10x. What is the value of x?
Answers
Answer:
x = 5
Step-by-step explanation:
6x + 20 = 10x
I hope this helps!
Determine the unit rate. Use mental math when you can. 6 golf balls for $15
Answers
Answer:
1 golf ball : $2.50
Step-by-step explanation:
You can first divide 6 and 15 by 3, and get 2 and 5.Then, you divide 5 by 2, which is 2.5Therefore, the unit rate is 1 golf ball : $2.50I'm spending my last 10 points on this please help me
Answers
Answer:
Rate of sales tax = 6% of $60
Sales tax = [tex]\frac{6}{100}[/tex] × 60
= $3.60
Simplify.
(–28xy) ÷ (–4)
−7xy
17ab
−17ab
7xy
Answers
If any doubt leave a comment
Which one cuz they are in different order.!!!
Answers
Answer:
wot
Step-by-step explanation:
The base of a triangle is v245 cm and its height is V20 cm. Find its area.
Answers
The given information of the base length and the height of the
rectangle are sufficient to find the area of the triangle.
Correct response:
The area of the triangle is 35 cm.²Methods used for finding the areaGiven that the parameters are;
The base of the triangle = [tex]\sqrt{245}[/tex] cm
The height of the triangle = [tex]\mathbf{\sqrt{20}}[/tex] cm
Required:
To find the area of the triangle
Solution:
[tex]Area \ of \ a \ triangle = \mathbf{ \dfrac{1}{2} \times base \times height}[/tex]Therefore, the area, A, of the given triangle is given as follows;
[tex]A = \dfrac{1}{2} \times \sqrt{245} \ cm \times \sqrt{20} \ cm= \dfrac{1}{2} \times \sqrt{4,900} \ cm^2= \dfrac{1}{2} \times 70 \ cm^2 = 35 \ cm^2[/tex]
The area of the triangle, A = 35 cm²Learn more about the area of plane shapes here:
https://brainly.com/question/8428727
https://brainly.com/question/9405007
Just a little help please ☺️
Simplify
(3^8/3^5)3
3^9
3^39
3^10
3^6
Answers
[tex]\left(\dfrac{3^8}{3^5} \right)^3\\\\\\=\left(3^{8-5}\right)^3\\\\=(3^3)^3\\\\=(3)^{3\cdot 3}\\\\=3^9[/tex]
Find sin 90° + cos 360° + tan 0°
Answers
Answer:
2
Step-by-step explanation:
sin 90 is 1;
cos 360 is cos 0, or 1; and
tan 0 is 0.
Thus, sin 90° + cos 360° + tan 0° = 1 + 1 + 0 = 2
It costs $10 to rent a canoe and $5.50 to use the canoe for an hour. You have $21. Write an equation that represents the number h of hours you can rent the canoe.
Answers
Answer:
21 = 10 + 5.5h
Step-by-step explanation:
Total cost = initial cost + hourly cost
21 = 10 + hourly cost
hourly cost = 5.5 per hour, or 5.5 * h as we add 5.5 for each hour
21 = 10 + 5.5h
Answer:
Step-by-step explanation:
$10 + $5.50h ≤ $21
Let h stand for the hours the canoe is rented.
Fixed cost = $10, regardless of h.
$5.50h for the cost of n hours of rental.
Total cost = $10 + $5.50h
The total cannot exceed $21, legally.
So we should write:
$10 + $5.50h ≤ $21
If $10 + $5.50h ≥ $21 then ║║║║║║║
Does anyone get this??
Answers
Answer:
the answer is 12m
Step-by-step explanation:
u know the side c and side B.
C=15m but u have to square it which is 225
B=9m but u have to square it which is 81. then subtract 82 from 225.which will give u 144 which is a perfect square route of 12