question:find the angle measure of the missing angle
if you can pls explain
Answer:
85°
Step-by-step explanation:
So in geometry, the formula to find the sum of all interior angles is denoted as follows:
n = number of sides in the polygon
( n - 2 ) × 180° = sum of the interior angles
Using that formula, a triangle has 3 sides, so
n = 3 , therefore:
= ( 3 - 2 ) × 180°
= 1 × 180°
= 180°
Since the total sum of the interior angles of a triangle all have to add up to 180°, you can create the following equation and solve:
34° + 61° + x = 180°
Solve for x.
A survey found that 6 out of 8 students own a pet. If there are 320 students in a school, what is a reasonable prediction for the number of students who own a pet?
Answer:
Reasonable prediction = 240 students
Step-by-step explanation:
Given that:
6 out of every 8 students own a pet.
Ratio = 6 : 8
Number of students surveyed = 320
Predicted number of students who own pets = x
Ratio = x : 320
As the relationship is proportional;
6 : 8 :: x : 320
Product of mean = Product of extreme
8x = 320 * 6
8x = 1920
Dividing both sides by 8
[tex]\frac{8x}{8}=\frac{1920}{8}\\x=240[/tex]
Hence,
Reasonable prediction = 240 students
A line passes through the points (-4, 8) and (3, -7).
Answer all parts of the question.
Part A: What is the slope of the line that passes through these points.
Part B: What is the equation of the line that passes through these points.
Part C: Where does the line intersect the x-axis and y-axis?
Answer: (hope I got them correct)
A) -15/7
B) [tex]y=-\frac{15}{7}x-\frac{4}{7}[/tex]
C) It cuts the x-axis at (-4/15,0) and the y-axis at (0,-4/7).
Step-by-step explanation:
A) Slope = [8-(-7)]/(-4-3) = -15/7
B) Let [tex]y=-\frac{15}{7}x+c[/tex] be the required equation.
Substitute x=-4, y=8.
8=(-15/7)(-4)+c
c=-4/7
The equation is therefore [tex]y=-\frac{15}{7}x-\frac{4}{7}[/tex].
C) Substitute y=0, we will get x = -4/15 i.e. it cuts the x-axis at (-4/15,0).
Substitute x=0, we will get y = -4/7 i.e. it cuts the y-axis at (0,-4/7).
An account has a principal of $500 and a
simple interest rate of 3.3%. How much interest
would be earned after 3 years?
Answer:
$49.50
Step-by-step explanation:
Simple interest formula => interest = principal x rate x time period
interest = 500 x .033 x 3 years
interest = 49.50
I hope this helps!
-TheBusinessMan
What are the possible numbers of positive real, negative real, and complex zeros of f(x) = 6x3 − 3x2 + 5x + 9?
Answer:
Positive Roots: 2 or 0
Negative Roots: 1
Step-by-step explanation:
f (x) = 6x3 − 3x2 + 5x + 9
To find the possible number of positive roots, look at the signs on the coefficients and count the number of times the signs on the coefficients change from positive to negative or negative to positive.
f (x) = 6x3 − 3x2 + 5x + 9
Since there are 2 sign changes from the highest order term to the lowest, there are at most 2 positive roots (Descartes' Rule of Signs). The other possible numbers of positive roots are found by subtracting off pairs of roots (2 − 2).
Positive Roots: 2 or 0
To find the possible number of negative r oots, replace x with −x and repeat the sign comparison.
f (−x) = 6(−x)3 − 3(−x)2 + 5 (−x) + 9
Simplify each term.
Apply the product rule to −x.
f (−x) = 6 ((−1)3x^3) − 3(−x)^2 + 5 (−x) + 9
Raise −1 to the power of 3.
f (−x) = 6 (−x^3) − 3(−x)^2 + 5 (−x) + 9
Multiply −1 by 6.
f (−x) = −6x^3 − 3(−x)^2 + 5 (−x) + 9
Apply the product rule to −x.
f (−x) = −6x^3 − 3 ((−1)^2(x^2)) + 5 (−x) + 9
Raise −1 to the power of 2.
f (−x) = −6x^3 − 3 (1x^2) + 5 (−x) + 9
Since there is 1 sign change from the highest order t erm to the lowest, there is at most 1 negative
root (Descartes' Rule of Signs). Negative Roots: 1
The possible number of positive roots is 2 or 0, and the possible number of negative roots is 1. Positive Roots: 2 or 0
Negative Roots: 1
5(−2n + 4) + (n - 3)=
P+45267=87012 evaluate
Decide if the statement is true or false.
7 is a solution of - 4x = -28.
True,
-4x=-28
Divide by -4 on both sides and since the negatives cancel eachother, you're left with x=7
Find the resultant of two displacement vectors A and B shown below. The magnitude of A is 20m, and the magnitude of B is 30m
Components A: ____ ____
Components B: ____ ____
jameson runs m miles and burns c number of calories is this independent or dependent
Answer:
the amount of miles he runs (m) is independent and the number of calories (c) he burns is dependent
Which set of ordered pairs represents a function? (1 point)
A. {(0, 1), (1, 3), (1, 5), (2, 6)}
B. {(0, 0), (1, 2), (2, 4), (3, 4)}
C. {(0, 1), (1, 2), (2, 3), (2, 4)}
D. {(0, 0), (0, 2), (2, 2), (2, 4)}
Answer:
I believe c.
Step-by-step explanation:
Answer:
its a i did it and it was correct
Step-by-step explanation:
Find the restrictions on the variable.
Answer:
[tex]\frac{x-5}{x+1}[/tex], [tex]x\neq -1, x\neq -9[/tex]
Step-by-step explanation:
x^2 + 4x - 45
= (x+9)(x-5)
x^2 + 10x + 9
= (x+9)(x+1)
So the fraction goes to
[tex]\frac{(x+9)(x-5)}{(x+9)(x+1)}[/tex] which is [tex]\frac{x-5}{x+1}[/tex].
Since the denominator cannot be 0, x^2 + 10x + 9 cannot be equal to 0. Therefore x cannot be -1 or -9.
The Equation of line K is y=8/7x+3 perpendicular to line k is line L which passes through (-8,3) what is the slope of the equation of line l
Answer:
mathm waaayys can help you
Step-by-step explanation:
PLS help whats 800000000.0%x9000000.0%=p\
Answer: 720,000,000,000
Step-by-step explanation: Find your answer by multiplying the 2 percent's.
Let p, equal percent.
800000000.0%x9000000.0% = p
800000000.0%x9000000.0% = 720,000,000,000
720,000,000,000 = p
Can someone give me a 6 digit number stating with 4? I need this number for a project. Also it needs to be a random number.
Answer:
406789
Step-by-step explanation:
Can you guys help me quickly
Brenda did a survey of the students in her classes about sheathed they liked to get candy bar or a new math pencil as their reward for positive behavior. She asked al 71 students she taught, and 32 said they would like a candy bar, 25 said they wanted a new pencil, and 4 said said they wanted both. If Brenda were to select a student at random from her classes, what is the probability that the student chosen would want:
a) a candy bar or a pencil?
b) neither a candy bar nor a pencil?
Please help I will like and brainy
Answer:
Ok ill help u ! What do u need help on?
Two mechanics worked on a car. The first mechanic charged $115 per hour, and the second mechanic charged $50 per hour. The mechanics worked for a combined total of 25 hours, and together they charged a total of $2,550. How long did each mechanic work?
Given Triangle DEF is isosceles and angle D is the vertex angle, Find x, DE, DF, EF
Answer:
x=2;DE,EF=9,DF=5
Step-by-step explanation:
Since DEF is isoceles, you can set the equations
x+7 and 2x+5 equal to each other
x+7=2x+5, now solve for x
-x=-2,
x=2, now plug in for each side
DE,EF=9
DF=3(2)-1=5
⚠️ANSWER NEEDED QUICK, SHOW WORK TOO⚠️
Answer:
28+28=56 so 28 and 28 and the bottom will be 56
Write an equation in Standard Form for each story below.
1: Ming sold 2 boxes of grapefruit and 5 boxes of oranges for $103.
Answer:
2x+5y=103
Step-by-step explanation:
x=price per box of grapefruit
y=price per box of oranges
In a NFL game in December the Seattle Seahawks scored 16 of their 40 points in the second quarter. What percent of their total points were made in the second quarter?
Answer:
That would be 40%.
You receive an inheritance of $15,500, and you place the full amount into a bank account. The bank pays a simple interest rate of 7.5% per year. How much interest have you earned after three years? Give your answer in dollars to the nearest dollar.
Answer:
348,750 dollars in 3 years
Step-by-step explanation:
You inheritanced 15,500 dollars. You put that into a account which has a 7.5% interest rate for one year. 15,500 x 7.5 = 116,250 a year. now you want to know how much that'll be in 3 years multiply 116,250 x 3 = 248,750.
(I'm sorry if this is incorrect i tried doing the math correctly!)
Answer:
Step-by-step explanation:
I = P x r x t
p=15500
i=7.5% must change to decimal of 0.075
t= 3 (years)
In this case
I= 15,500 X 0.075 X 3= 3,487.5
(1, 162.5 x 3)= 3487.5
Solved to nearest dollar of 3,488
Which expression is equivalent to (6-2i)(2-3i)?
Answer:
Step-by-step explanation:
(6-2i)(2-3i)=
we will use foil to multiply
-12-18i-4i+6(i^2)=
now remeber that (i^2)=-1
=12-22i-6=6-22i
Explanation: To multiply two complex numbers, use the F.O.I.L method.
So we have (6 - 2i)(2 - 3i).
So we have 12 - 18i - 4i + 6i².
Combining like terms, we have 12 - 22i + 6i².
Now, remember that i² is equal to -1 so we have
12 - 22i + 6(-1) or 12 - 22i - 6 or 6 - 22i.
So our answer is 6 - 22i.
Find the area of each triangle?
10. Find the slope between the points (3,0) and (2, 4).
Answer:
slope = -4
Step-by-step explanation:
slope formula is
slope = y2-y1/x2-x1
as we know that from the question x1 = 3 , y1 = 0
and x2 = 2 , y2 = 4
then put these equation in the slope formula and we get slope which is equal to (-4)
HELP ME YO I LISTEN TO TRIPPIE REDD
Answer: blank = 2
Step-by-step explanation:
i checked the denominators to see if they had some form of correlation. i did this with the denominators because both of them were given. i saw that 16 is twice the number of 8, so i just said "what is twice the number of 1?" and got my answer.
Answer:
2
Step-by-step explanation:
Trippie is amazing, good job. What's your favorite song from him mine is Excitement.
£5-2 x 0.81=
Answer for school and explanation please. would be great help
Answer:
3.38
Step-by-step explanation:
first do the multiplication
2×0.81
= 1.62
then the subtraction
5- 1.62= 3.38
Guess the rule and add the next number in the sequence.
6, 8, 12, 18, 26,
Answer:
The rule: Adds twice as much as the previous number added
Next number: 38
Step-by-step explanation:
Answer:
36
Step-by-step explanation:
The rule is every time you add 2 so 6 plus 2 equals 8 them you would do 8+4=12. your counting by 2 as u go up the line.