Answers
Now angle '4' and angle '3' must equal 180 because they are on the same plane. Let angle '3' = y. y + 88 = 180. Subtract 88 on both sides, y = 92.
So Angle 4 is 88 degrees and Angle 3 is 92 degrees.
Related Questions
Unless otherwise indicated, a line in geometry is understood to be _____. straight curved either
Answers
the sum of two numbers is 8, and the sum of their squares is 34. what is the smaller number?
Answers
5 +3 = 8
3^2 = 9
5^2 = 25
25 +9 = 34
smaller number is 3
Tom has been given 35 chores to complete today. This morning he finished 7 of them. How many chores does he now have left to do?
Answers
28 chores he now has left to do.
What is subtraction?An arithmetic intelligence operation minus simulates the process of deleting items from either a collection. To subtract is to take something or something from a particular group. The group's total number of items decreased and became lower when people eliminated it. The components of a subtraction issue are the issues dealing with, forces at play, and differences. The negative symbol, or, denotes subtraction.
35 tasks have been assigned to Tom for today.
He accomplished 7 of them this morning.
The remaining days are:
= 35-7
= 28 chores
The remaing chores are 28.
Learn more about subtraction, Here:
https://brainly.com/question/1927340
#SPJ2
if the federal reserve decreases the reserve rate from 5% to 2.5% how does this affect the amount of money that would result because of fractional reserve banking from an initial deposit into a bank of $35000
Answers
35,000÷0.05=700,000
The amount of the money supply when the reserve rate is 2.5%
35,000÷0.025=1,400,000
The affect that the amount of money would increase by 700000 when the reserve rate decreased from 5% to 2.5%
1,400,000−700,000=700,000
Hope it helps!
It increases the amount by 700,000
A line passes through the origin and has a slope of 4. What is the equation of the line that is parallel to the first line and passes through the point (1, –2)? A. y = 4x + 9 B. y = –4x + 2 C. y = 4x – 6 D. 2003-10-03-00-00_files/i0160000.jpg
Answers
The slope of the line which is parallel to it has the same slope m=4.
Then,
[tex]y - y_{1} = m(x- x_{1} )[/tex]
y - (-2) = 4(x - 1)
y = 4x - 4 - 2
y = 4x - 6
It is the final equation.
Option C is correct, y=4x-6 is the equation of the line that is parallel to the first line and passes through the point (1, –2)
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
A line passes through the origin and has a slope of 4
y=4x is the equation of the line.
We have to find the equation of the line that is parallel to the first line and passes through the point (1, –2)
Slope is 4 as it is parallel.
We have to find the y intercept
-2=4(1)+b
b=-6
So equation is y=4x-6
Hence, Option C is correct, y=4x-6 is the equation of the line that is parallel to the first line and passes through the point (1, –2)
To learn more on slope of line click:
https://brainly.com/question/14511992
#SPJ7
A pattern for 1 1 uniform uses 12 12 yards of material. Boleslaw wants to know how many yards are needed for 8 8 uniforms. Chantal wants to know how many yards she will need to make 15 15 uniforms.
Answers
To find the amount of material needed for a certain number of uniforms, we can use a proportion and multiply the amount of material needed for 1 uniform by the desired number of uniforms.
Explanation:To find out how many yards are needed for 8 uniforms, we can set up a proportional relationship between the number of uniforms and the amount of material needed. We can do this by dividing the amount of material needed for 1 uniform by the number of uniforms, and then multiplying by the desired number of uniforms. The formula for this is (Amount of material needed for 1 uniform / Number of uniforms) * Desired number of uniforms. Using this formula, we can determine that 8 uniforms would require (12 yards / 1 uniform) * 8 uniforms = 96 yards of material.
To find out how many yards are needed for 15 uniforms, we can use the same formula. (12 yards / 1 uniform) * 15 uniforms = 180 yards of material.
Therefore, 8 uniforms require 96 yards of material, and 15 uniforms require 180 yards of material.
Learn more about Material required for uniforms here:https://brainly.com/question/28261880
#SPJ12
All scatter plots show either a positive or a negative trend.
True
False
Answers
Sine: the trigonometric function that is equal to the ratio of the side opposite a given angle (in a right triangle) to the hypotenuse.
What is the Sine of angle A?
3/4
4/3
3/5
4/5
Answers
Convert 30 feet per second to miles per minute.
5280 ft = 1 mi
Round to the nearest hundredth.
Answers
Answer:
0.34 miles per minute
Step-by-step explanation:
We have to convert 30 feet per second to miles per minute.
1 minute = 60 seconds
Therefore, in one minute = 60 × 30 = 1800 feet
5280 feet = 1 mile
180 feet = [tex]\frac{1800}{5280}[/tex]
= 0.3409 ≈ 0.34 mile
Therefore, 0.34 mile per minute.
if x-2m=p make m the subject. answer must be written as fraction.
Answers
To make m the subject of the equation x-2m=p, add 2m to both sides, subtract p, and divide by 2. The result is m as the subject of the equation, represented as the fraction (x - p)/2.
Explanation:To solve the equation x-2m=p for m as the subject, we want to isolate m on one side of the equation. Here is the step-by-step process:
Start with the original equation: x - 2m = p.Add 2m to both sides to get x = p + 2m.Subtract p from both sides to get x - p = 2m.Divide both sides by 2 to isolate m: m = (x - p)/2.Now m is the subject of the equation, and it is represented as a fraction as requested.
A man’s age is two years more than four times his son’s age. His son is now 8. How old is the man?
Answers
The man is 34 years old.
I hope that this helps.
Please mark Brainliest if you believe I deserve so.
So, we would multiply 8 and 4, giving us 32.
Then, we would add the two years mentioned in the problem, making the dad 34 years old.
What is the graph of the equation 4x – 5y = 15?
Answers
put x=0, 4(0) - 5y = 15
-5y = 15
y = -3
coordinates (0,-3)
put y=0, 4x - 5(0) = 15
x = 15/4
coordinates (15/4,0)
put y=1, 4x - 5(1) =15
4x = 20
x = 5
coordinates (5,1)
Plot the three coordinates to obtain a straight line.
Note: You can also use other points rather from what i mentioned.
Hope it helped!
A candy bar has 12 grams of fat. The company producing the candy bar also sells a reduced-fat version that has 25% less fat. How many grams of fat are in the reduced-fat candy bar? Do not include units in your answers
Answers
Answer:
it's 9 grams for apex
What the opposite of 30 degrees North latitude
Answers
Hope this helps
Find the velocity, v(t), for an object moving along the x-axis if the acceleration, a(t), is a(t) = 3t^2 + cos(t) and v(0) = 2.
v(t) = t^3 + sin(t) + 2
v(t) = t^3 - sin(t) + 3
v(t) = 6t - sin(t) + 2
v(t) = t^3 - sin(t) + 2
Answers
The velocity function of an object moving along the {x} - axis would be -
v{t} = sin(t) + t³ + 2.
What is instantaneous acceleration?The acceleration at any instant of time is called instantaneous acceleration. Mathematically -
a = dv/dt
dv = a dt
∫dv = ∫a dt
Given is the acceleration function as -
a(t) = 3t² + cos(t)
We know that -
a = dv/dt
dv = a dt
∫dv = ∫a dt
v{t} = ∫{3t² + cos(t)} dt
v(t) = sin(t) + t³ + C
Now -
v(0) = 2
sin(0) + 0 + C = 2
C = 2
So, we can write the velocity function as -
v{t} = sin(t) + t³ + 2
Therefore, the velocity function of an object moving along the {x} - axis would be -
v{t} = sin(t) + t³ + 2.
To solve more questions on kinematics, visit the link -
brainly.com/question/30098550
#SPJ2
What is the remainder when 314^162 is divided by 7?
Answers
---------------
7
Final answer:
To find the remainder of 314162 divided by 7, we use modular arithmetic and find that the powers of 314 mod 7 repeat every 3 powers. Since 162 is a multiple of 3, 314162 mod 7 equals 1.
Explanation:
The question asks for the remainder when 314162 is divided by 7. To solve this problem, we can use a concept known as modular arithmetic, which deals with the remainder upon division. The key here is to find a pattern in the powers of 314 modulo 7, because large numbers can be cumbersome to work with directly. A helpful property is that (a×b) mod n = [(a mod n)×(b mod n)] mod n.
Let's consider the powers of 314 mod 7:
3141 mod 7 = 2
3142 mod 7 = (314 × 314) mod 7 = (2 × 2) mod 7 = 4
3143 mod 7 = (3142 × 314) mod 7 = (4 × 2) mod 7 = 1
Since we reached 1 again, the sequence will repeat every 3 powers. Now, 162 is divisible by 3 (162 = 3 × 54). Therefore, we can conclude that 314162 mod 7 will have the same remainder as 3143 mod 7, which is 1.
The temperature in degrees Celsius, c, can be converted to degrees Fahrenheit, f, using the equation mc026-1.jpg. Which statement best describes the relation (c, f)? It is a function because –40°C is paired with –40°F. It is a function because every Celsius temperature is associated with only one Fahrenheit temperature. It is not a function because 0°C is not paired with 0°F. It is not a function because some Celsius temperatures cannot be associated with a Fahrenheit temperature.
Answers
Explanation:
In this equation, degrees Celsius (c) is the independent variable and degrees Fahrenheit (f) is the dependent variable. This means all of our values of c will be the domain and our values of f will be the range. The definition of a function is a relation in which each element of the domain is mapped to only one element of the range; this means each Celsius temperature must be associated with only one Fahrenheit temperature. This is true, so this is a function.
Answer:
B
Step-by-step explanation:
edge
Which expression represents the probability of rolling a 5 exactly three times in ten rolls of a number cube with six sides?
Answers
[tex]P(X=3)={10\choose3}(\frac{1}{6})^3(\frac{5}{6})^7[/tex]
The probability of rolling a 5 exactly three times in ten rolls of a number cube with six sides is 0.034.
What is the probability?
Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty.
The probability of rolling a 5 exactly three times in ten rolls of a number cube with six sides is determined in the following steps given below.
[tex]\rm Probability=\dfrac{10}{3}\times \left (\dfrac{1}{3} \right ) ^3\times \left (\dfrac{5}{6} \right ) ^7\\\\Probability= \dfrac{10}{3}\times \dfrac{1}{27} \times \dfrac{78125}{279936}\\\\Probability=0.034[/tex]
Hence, the probability of rolling a 5 exactly three times in ten rolls of a number cube with six sides is 0.034.
Learn more about probability here;
https://brainly.com/question/11234923
#SPJ2
Determine which of the following terms is a function: a. (1,2) (2,4) (3,5) c. (1,2) (2,4) (2,6) b. (1,2) (2,3) (1,5) d. (1,2) (3,5) (3,7)
Answers
Your answer is A.
a (1,2) (2,4) (3,5)
there are different x values for
each point, so this IS A FUNCTION.
b. (1,2) (2,3) (1,5)
there are two values of x being 1,
so this is NOT A FUNCTION.
c. (1,2) (2,4) (2,6)
there are two values of x being 2
so this is NOT A FUNCTION.
d. (1,2) (3,5) (3,7)there are two values of x being 3,
so this is NOT A FUNCTION.
hope this helps and have a great day!
Answer:
A is the mofluffin answer
Step-by-step explanation:
Petro had $15 dollars. He spent $9 dollars on a book. His friend had $12 how much money did pedro have left
Answers
(4.5+7.6)-8*2.5 I really need help with this problem
Answers
12.1 - 20 = -7.9
12.1 - 8 * 2.5
12.1 - 20
- 7.9 <===
M(1,7) is the midpoint of PQ. The coordinates of point P are (-8,3)
What are the coordinates of point Q
Please only answer if you have the answer.
Answers
To find the coordinates of point Q when M(1,7) is the midpoint of PQ, and P(-8,3), we use the midpoint formula to get Q's coordinates as (10, 11).
Explanation:The question asks for the coordinates of point Q given that M(1,7) is the midpoint of PQ and the coordinates of point P are (-8,3). To find the coordinates of Q, we can use the midpoint formula which is (x1 + x2)/2, (y1 + y2)/2 where (x1, y1) are the coordinates of P and (x2, y2) are the coordinates of Q. Since M is the midpoint, its coordinates (1,7) equal these averages.
For x: (-8 + x2)/2 = 1For y: (3 + y2)/2 = 7Solving these equations for x2 and y2, we find the coordinates of Q to be (10, 11).
Ax + by = c find Y show steps
Answers
Ax + by (- Ax) = c (-Ax)
by = c - Ax
by/b = (c - Ax)/b
y = (c - Ax)/b
hope this helps :D
A bakery packages 868 cupcakes into 31 boxes. The same number of cupcakes are pput into each box. How many cupcakes are in each box?
Answers
hope this helps good luck have a good nite hope u enjoy ur the rest of ur weekend
Find the sum and express it in scientific notation. 0.00348 + (6.2 x 10^-2) A) 2.176 x 10^-4 B) 6.2348 x 10^-2 C) 6.2348 x 10^-1 D) 6.548 x 10^-2
23 POINTS PLZ HELP
Answers
Verify which of the options fits the solution.
A) 2.176 x 10^-4 (not the same as 0.06548)
B) 0.062348 (not the same as 0.06548)
C) 0.62348 (not the same)
D) 0.06548 (CORRECT)
Hope I helped :)
The sum of the expression in scientific notation is given by option D) 6.548 × 10⁻².
Given expression is,
0.00348 + (6.2 x 10⁻²)
We have to first find the sum.
For that, rewrite the number in the scientific form in the normal form.
Since the exponent of 10 is -2, the decimal point is shifted 2 units to the left.
6.2 x 10⁻² = 0.062
0.00348 + (6.2 x 10⁻²) = 0.00348 + (0.062)
= 0.06548
Now, we have to write this in scientific notation as the power of 10.
After shifting the decimal point to the right up to 2 units, 0.06548 becomes = 6.548.
So, 0.06548 = 6.548 × 10⁻²
Learn more about Scientific Notation here :
https://brainly.com/question/15331471
#SPJ2
The base angle of an isosceles triangle measures 54°. What is the measure of its vertex angle?
27°
36°
54°
72°
Answers
The measure of the vertex angle is 72 degrees
Isosceles triangleThe sum of the interior angle of a triangle is 180 degrees. Of the base angles are equal hence;
54 + 54 + x = 180
where
x is the vertex angles
Simplify
108 + x = 180
x = 180 - 108
x = 72 degrees
Hence the measure of the vertex angle is 72 degrees
Learn more on isosceles triangle here: https://brainly.com/question/1475130
#SPJ9
What’s the best answer
Answers
Which phrase matches the algebraic expression below? (1 point)
2(x − 7) + 10
Two times the sum of x and seven plus ten
Two times the difference of x and seven plus ten
Two times x minus seven plus ten
Two times x minus the sum of seven and ten
Answers
Answer:
Two times the difference of x and seven plus ten
Step-by-step explanation:
What is the quotient when (x+3) is divided into the polynomial 2x2+3x-9
Answers
For a polynomial of the form, ax^2+bx+c rewrite the middle term as the sum of two terms whose product a·c=2·-9=-18 and whose sum is b=3.
Factor 3 out of 3x
2x^2+3(x)-9
Rewrite 3 as -3 plus 6.
2x^2+(-3+6)x-9
Apply the distributive property
2x^2(-3x+6x)-9
Remove the parentheses
2x^2-3x+6x-9
Factor out the greatest common factor from each group
Group the first two terms and the last two terms
(2x^2-3x) (6x-9)
Factor out the greatest common factor in each group.
x(2x-3)+3(2x-3)
Factor the polynomial by factoring out the greatest common factor, 2x-3
(x+3) (2x-3). So, the quotient is 2x-3
A quotient is a quantity that is obtained by dividing two integers. The quotient of the division (2x²+3x-9) ÷ (x+3) is (2x - 3).
What is a quotient?A quotient is a quantity that is obtained by dividing two integers. The quotient is a term that is widely used in mathematics to refer to the integer component of a division, as well as a fraction or a ratio.
The quotient of the division (2x²+3x-9) ÷ (x+3) can be found as shown below,
[tex]\dfrac{2x^2+3x-9}{(x+3)}\\\\=\dfrac{2x^2+6x - 3x -9}{(x+3)}\\\\=\dfrac{2x(x+3)-3(x+3)}{(x+3)}\\\\=\dfrac{(2x-3)(x+3)}{(x+3)}\\\\[/tex]
= (2x - 3)
Hence, The quotient of the division (2x²+3x-9) ÷ (x+3) is (2x - 3).
Learn more about Quotient:
https://brainly.com/question/730603
#SPJ5
what is the decimal equivalent to 15 1/4
Answers
1/4 is 0.25, so 15 + 0.25 is 15.25.
The equivalent decimal number will be 15.25.
What is Decimal number?
A decimal number is a number that consists of a whole and a fractional part.
Given that;
The number is,
⇒ 15 1/4
⇒ 61 / 4
Now,
Solve the number in decimal form as;
The number is,
⇒ 15 1/4
⇒ 61 / 4
⇒ 61 ÷ 4
After divide we get;
⇒ 61 ÷ 4 = 15.25
Thus, The equivalent decimal number will be 15.25.
Learn more about the decimal number visit:
https://brainly.com/question/703656
#SPJ2