Answers
Answer:
Step-by-step explanation:
Opposite angles of a parallelogram are congruent, so:
[tex]112=y-9 \longrightarrow y=121[/tex]
and adjacent angles are supplementary, so:
[tex]112+x+1=112+z+3=180 \longrightarrow x=67, z=65[/tex]
Related Questions
Solve this system of equations algebraically:
y – 10 = 11x + x2
y – 12x = 30
The first solution is (–4, –18).
The second solution is
Answers
Answer:
5,90
Step-by-step explanation:
got it correct :)
The second solution for the system of equations is (5, 90).
What are Linear Equations?Linear equations are equation involving one or more expressions including variables and constants and the variables are having no exponents or the exponent of the variable is 1.
Linear equations may include one or more variables.
Given the system of equations,
y - 10 = 11x + x² and
y - 12x = 30
Consider second equation.
y - 12x = 30
⇒ y = 30 + 12x
Substitute y = 30 + 12x in the equation y - 10 = 11x + x², we get,
(30 + 12x) - 10 = 11x + x²
12x + 20 = 11x + x²
12x - 11x - x² + 20 = 0
-x² + x + 20 = 0
x² - x - 20 = 0
Discriminant = [tex]\sqrt{(-1)^{2} -(4*1*-20)}[/tex] = √(1 + 80) = √81 = ±9
x = (1 + 9)/2 and x = (1 - 9) / 2
x = 5 and x = -4
The solution x = -4 and y = -18 is given.
Other solution is,
x = 5
y = 30 + 12x = 30 + 60 = 90
Hence the second solution is (5, 90).
Learn more about Linear Equations here :
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Please help asap! I will gave brainlest!
Answers
Answer:
√2 + √6 / 4
Step-by-step explanation:
We know cos(-θ) = cosθ.
Therefore, cos(-15°) = cos15°.
cos15° = cos(45 - 30)
cos15° = cos45cos30 + sin45sin30cos15° = (1/√2)(1/2) + (1/√2)(√3/2)cos15° = 1/2√2 + √3/2√2cos15° = √3 + 1 / 2√2cos15° = (√3 + 1)(√2) / 4cos15° = √2 + √6 / 4Option 1what is the square root of 12?
Answers
You buy cheese in 1lb bags. Your receipt for burritos requires 0.7 ounces of cheese per serving. How many servings can you make
Answers
Answer:
Step-by-step explanation:
Get Fit Gym currently has 96 members participating in their aerobic classes, and this number has been increasing by 2 people per
week. The cycling classes have a total of 80 members who participate, and this number
has been decreasing by 3 people per
week. In how many weeks will the number of people working out in the aerobics classes be double the number of people
attending the cycling classes?
Answers
Step-by-step explanation:
mx + b = y
2x + 96 = y
-3x + 80 = z
What we want is y to be twice z, or y = 2z
If we're going to make 2z, then that means its equation needs to be doubled as well:
2x + 96 = 2(-3x + 80)
2x + 96 = -6x + 160
8x = 64
x = 8
Now to check our answer:
2 * 8 + 96
16 + 96 = 112
-3 * 8 + 80
-24 + 80 = 56
56 * 2 = 112
hope it helps :)
Question: In the expression: 4x-5+6x-8
a: Identify the third term (options listed)
- (-6x)
- (-5)
- (6x)
- (-8)
b: is it a constant or a variable term?
c: what is the coefficient? (options listed)
- (6)
- (-6)
- (8)
d: simplified (options listed)
- (10x-3)
- (-1x-2)
- (10x-13)
Answers
Answer:
a -(-6x)
b variay term
c-(-6)
d no answer
2. Get the difference between 7 and the sum of 1.0006 and 4.06.
3
Answers
Given:
The difference between 7 and the sum of 1.0006 and 4.06.
To find:
The mathematical expression for given statement and it value.
Solution:
Sum of 1.0006 and 4.06 = [tex](1.0006+4.06)[/tex]
The expression for the difference between 7 and the sum of 1.0006 and 4.06 is
[tex]7-(1.0006+4.06)[/tex]
On simplification, we get
[tex]7-(1.0006+4.06)=7-5.0606[/tex]
[tex]7-(1.0006+4.06)=1.9394[/tex]
Therefore, the difference between 7 and the sum of 1.0006 and 4.06 is 1.9394.
On January 22 in 1943, the town of Spearfish, South Dakota, set the record for the world’s fastest temperature change.
At 7:30 a.m., the temperature was `-4`°F.
By 7:32 a.m., the temperature was `45`°F.
By 9:00 a.m. the same day, the temperature was `54`°F.
By 9:27 a.m., the temperature was `-4`°F.
How many degrees did the temperature change each minute from 7:30 to 7:32?
Answers
Answer:6 degrees
Step-by-step explanation:
A triangular prism with 5 faces.
A triangular prism has faces.
Answers
Answer:
Pentahedron
Step-by-step explanation:
A triangular prism with 5 faces is called Pentahedron.
It has 5 faces, 6 vertices and 9 edges.
5 faces - Two are triangular faces and three are rectangular faces.
Answer:
its has 5 faces
Step-by-step explanation:
How do I subtract 8 1/2 - 6 7/8
Answers
Hope this helps :)
For the polynomial below,what is the power of the term with the coefficient of 1? x^3+1/3x^4+6x+5
Answers
Hi! I hope you're enjoying your day!
Please remember that the coefficient is the number before a variable.
Also, if we have no coefficient, then we have a coefficient of 1.
Here we have
x^3 (no coefficient)
the power is after the ^ symbol or written above a number (like [tex]\bold{t^h}[/tex]) where h is the power of t
Hence, the answer is
[tex]\boxed{\boxed{\bold{3}}}[/tex]
Hope everything is clear.
Let me know if you have any other questions; if so, feel free to use the comment section.
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#LearningIsFun
A hall is thrown straight up, from 3 m above the ground, with a velocity of 14m/s. When does it hit the ground? Use the vertical motion formula.
Answers
In this question, to find the total height first, we must also take into consideration the acceleration due to gravity as well. To find the distance by which acceleration due to gravity pulls the ball down must know the Initial velocity.
In the answer key, it says that gravity changes the ball's height by a distance of -5t^2
Is initial velocity in this question 0 or 14m/s? Because if it is 14, then gravity should change the balls position by -(14+5t^2), not -5t^2, because if I remember correctly, the formula for finding distance is vt(initial velocity)+(1/2)at^2 ,and not just (1/2)at^2
Two similar solid cones have their radii 15cm and 25cm respectively, if the volume of the bigger cone is 325cm³. Calculate (a) the linear scale factor (b) the volume scale factor (c) volume of the smaller cone
Answers
Answer:
The length scale factor = \(\frac{24}{6} = 4\)
The area scale factor = \(4^2 = 16\)
\[\text{Larger area} = 16 \times \text{smaller area}\]
\[50.3 \times 16 = 804.8\]
The area of the large clock face is approximately 804.8 cm2.
Step-by-step explanation:
The length scale factor = \(\frac{24}{6} = 4\)
The area scale factor = \(4^2 = 16\)
\[\text{Larger area} = 16 \times \text{smaller area}\]
\[50.3 \times 16 = 804.8\]
The area of the large clock face is approximately 804.8 cm2.
Answer:
a) the linear scale factor = 5/3
b) the volume scale factor = 125/27
c) 70.2 cm³
Step-by-step explanation:
r₁ = 15 cm, r₂ = 25 cm
r₂/r₁ = 25/15 = 5/3
They are similar, so h₂/h₁ = 5/3
a) the linear scale factor = 5/3
b) the volume scale factor = (5/3)³ = 125/27
c) V₂/V₁ = 125/27
Given V₂ = 325 cm³, V₁ = 325*27/125 = 70.2 cm³
Please solve this linear algebra equation for 15 points.
Answers
Answer:
[6
-1.5]
the six and 1.5 are in the same bracket the 6 in ontop
Please help I don’t understand please I really need helppppppppp
Answers
Answer:
it's 4
Step-by-step explanation:
you just divide 8 and 4
8÷4= 4
HELP ME PLEASE I NEED HELP
Find the value of g(25) for the function below.
g(x) = 24(x − 39)
A.
561
B.
-14
C.
-336
D.
-911
Answers
Answer:
C.-336
Step-by-step explanation:
g(25)=24(25‒39)
=24(‒14)
=‒336
i hope it helps you
Step-by-step explanation:
g(x) =24(x-39)
g(25)=24(25-39)
=24(-14)
=-336
=c
Working together, Bill and Tom painted a fence in 8 hours. Last year, Tom painted the fence by himself. The year before, Bill painted it by himself, but took 12 hours less than Tom took. How long did Bill and Tom take, when each was painting alone?
Answers
Answer:
Tom paints the fence in 24 hours and Bill paints the fence in 12
Step-by-step explanation:
T = 1 fence / x hours
B = 1 fence / x - 12 hours
B + T = 1 fence / 8 hours
( 1 fence / x - 12 hours ) + ( 1 fence / x hours ) = 1 fence / 8 hours
( 1 / x - 12 ) + ( 1 / x ) = 1 / 8
multiply through all the denominators to get:
8x + 8 (x - 12 ) = x( x - 12 )
8x + 8x - 96 = x^2 - 12x
combine like terms to get:
x^2 - 28x + 96 = 0
factor to get:
( x - 4 ) ( x - 24 ) = 0
x = 4, 24
4 won't work, because that would mean Bill would take a negative amount of time to paint the fence by himself, so that means
Tom paints the fence in 24 hours and Bill paints the fence in 12
2x = 1/32 find the value of x
Answers
Answer:
x = 64
Step-by-step explanation:
2/x = 1/32
cross multiply
2 × 32 = x × 1
64 = 1x
64 = x
Martin and Eva pool their loose change to buy snacks on their coffee break. One day, they spent $5.80 on 1 carton of milk, 2 donuts, and 1 cup of coffee. The next day, they spent $6.75 on 3 donuts and 2 cups of coffee. The third day, they bought 1 carton of milk, 1 donut and 2 cups of coffee and spent $6.05. How much is the price of a carton of Milk? (Write only the amount, example, $2.50)
Answers
Answer:
250
Step-by-step explanation:
gsv
For a project in his Geometry class, Elijah uses a mirror on the ground to measure the height of his school building. He walks a distance of 8.25 meters from the school, then places a mirror on flat on the ground, marked with an X at the center. He then steps 0.8 meters to the other side of the mirror, until he can see the top of the school clearly marked in the X. His partner measures the distance from his eyes to the ground to be 1.45 meters. How tall is the school? Round your answer to the nearest hundredth of a meter.
Answers
The school is about 14.95 meters tall, and the mirror is 8.25 meters from the school.
What is trigonometric ratio?Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.
Let Ф represent the angle Elijah makes with the ground, hence:
tanФ = 1.45/0.8
Ф = 61.11°
The angle of elevation to the building is 61.11°. Let h represent the height of the building.
tan(61.11°) = h/8.25
h = 14.95
The school is about 14.95 meters tall, and the mirror is 8.25 meters from the school.
Find out more on trigonometric ratio at: https://brainly.com/question/24349828
please help me with this
Answers
Answer:
y-5=3/4(x-6)
Step-by-step explanation:
The picture you posted is a bit unclear and difficult to look at, but that's alright.
This is a simple question if you understand that the point slope for equation is: y-y1 = m(x-x1).
m is the slope and (x1,y1) is a point on the graph.
So, if you input the point (6,5) on the graph, it works.
You can double check with the other equations to see that they are all wrong!
Help help ASAP pelsss thanks
Answers
Answer:
(5,1)
Step-by-step explanation:
The ratio of dogs to cats is 6:11. if i have 18 dogs, how many total animals do i have
Answers
Answer:
51
Step-by-step explanation:
6 dogs: 11 cats
12 dogs: 22 cats
18 dogs : 33 cats
18 + 33 = 51
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QUESTION 1
The general term of the sequence is given by Tn= an + bn + c T2-T1 = 4; T3; -T2 = 6; T4-T3 = 8 and T2 = 6
1.1 Calculate a, b and c
Answers
Answer:
The general term of the sequence is given by
T
n
=
a
n
2
+
b
n
+
c
The general term of the sequence is given by
T
n
=
a
n
2
+
b
n
+
c
Calculate a,b and c
Determine the 12th term of the sequence.
grade12 general-term sequence series
Share your questions and answers with your friends.
answer comment
1 Answer
0
0
T3 - 6=6
T3=12
then T2-T1=4
6-T1=4
T1=2
T4-T3=8
T4-12=8
T4=20
Therefore terms= 2,6,12,20
1st difference= 4,6,8
2nd difference= 2,2,....
2a=2
a=1
3a+b=4
3(1) + b=4
b= 1
a+b+c= 2
c= 2-1- 1= 0
giving Tn= n^2 + n
T12 = 12^2 + 12 = 156
Which of the following is true?
A |−5| < 4
B |−4| < |−5|
C |−5| < |4|
D |−4| < −5
Answers
B is true
Step-by-step explanation:
because no number with them to lines can be a negative
Each batch of cookies is 8.9 oz. What is the weight of 2.5 batches of cookies
Answers
Answer:22.25 oz
Step-by-step explanation:
1 batch of cookies = 8.9 oz
2.5 batches of cookies = x oz
cross multiply
1x=8.9(2.5)
x=22.25 oz
Simplify to create an equivalent expression.
20-n – 3) – 7(5 + 2n)
Choose 1 answer:
-16n – 37
-16n - 41
16n - 41
16n +41
Answers
Answer:
by the way u typed in your answer I got -15n-12
Step-by-step explanation:
let me know If it is written another way
Answer:
its b
Step-by-step explanation:
When Gemma was born, her grandmother invested $200 000 in a building society for her. Find the value of this investment after 18 years if the interest rate is 4% per year and the interest is compounded quarterly.
Answers
Answer:
570.87
Step-by-step explanation:
A triangular pane of glass has a height of 44 inches and an area of 440 square inches. What is the length of the base of the pane?
Answers
Answer:
20 inches
Step-by-step explanation:
The base, height, and area of a triangle are related by the formula ...
A = 1/2bh
If you know two of these, you can use this formula to find the third.
440 in² = 1/2b(44 in)
(440 in²)/(22 in) = b = 20 in . . . . . . divide by the coefficient of b
The length of the base is 20 inches.
Use the volume formula to find the volume of the prism.
A. 21 cubic units B. 42 cubic units C. 27 cubic units D. 9 cubic units
Answers
Answer:
D Because
Step-by-step explanation:
1/2 +1/2 is 1 so 1+1+3+4 is 9
HOPE THIS HELP! :)