Answer:
m < 5 = 55.1 i think im not forsure
Step-by-step explanation:
Whenever the Transversal EF intersects parallel line AB and CD, the values of m∠5 and m∠7 are 55.1° and 124.9°, respectively.
What is an angle?An angle results from the intersection of two lines at a point. The term "angle" describes the width of the "gap" that exists between these two rays. It's represented by the symbol.
Angles are most frequently measured in degrees and radians, a measurement of roundness or rotation. Angles are a part of everyday existence.
As per the information provided in the question,
Since the transverse line, EF, intersects the line segment AB and CD, it creates equivalent, alternate, and other angles.
As a result, the m∠5 and m∠7 are as follows:
First, supplementary angles ∠5 and ∠7 are present. Since they add up to 180 degrees, they are equal.
Since alternate angles are equivalent, ∠5 is an alternative angle to ∠4. Therefore,
m∠5 ≅ m∠4
m∠5 = 55.1°
So,
m∠5 + m∠7 = 180°
55.1 + ∠7 = 180
∠7 = 180 - 55.1
m∠7 = 124.9°
To know more about an angle:
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Pls help me
With the hard math problem
Answer:
A) For the first 10 minutes, the train travels 4 miles.B) The train stops at two stations before it arrives at Springfield. The first station is 4 miles from Metro center. The second station is 8 miles from Metro center.C) The longest time the train travels without stopping is 10 minutes.D) It takes 20 minutes to get from Metro center to SpringfieldHoped this helped.
[tex]BrainiacUser[/tex]
Can someone please take the time out of they’re day and help me and with this question
Answer:
see explanation
Step-by-step explanation:
(a)
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 100) and (x₂, y₂ ) = (2, 200) ← 2 points on the line
m = [tex]\frac{200-100}{2-0}[/tex] = [tex]\frac{100}{2}[/tex] = 50
The line crosses the y- axis at (0, 100 ) ⇒ c = 100
y = 50x + 100 ← equation of line
where y is monthly savings and x the time in months
(b)
Slope is the monthly deposit , that is $50 per month
The y- intercept indicates the original amount in her account , that is $100
Ella brought 7 new Christmas cards to add to her card collection this year. the next day she mailed half of her entire collection to her elf family and friends. there are now only 21 cards left. how many cards did Ella start with?
Answer:
42
Step-by-step explanation:
the half of 42 is 21 so if she mailed the half of it then she just have 21 cards
X=8,2x+y=12 solve by substitution show work
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Let's substitute the value of x as 8 in the given equation to find the value of y ~
[tex] \sf2x + y = 12[/tex][tex] \sf(2 \times 8) + y = 12[/tex][tex] \sf16 + y = 12[/tex][tex] \sf y = 12 - 16[/tex][tex] \sf y = - 4[/tex]Jeremy's dog is on an 11-foot leash that is tied to a pole, as shown in the diagram.
What is the area of the circle in which the dog can run? Use 3.14 for PI. Round your answer to the nearest square foot.
O 69 square feet
O 108 square feet
O 380 square feet
O 1520 square feet
Answer:
380
Step-by-step explanation:
area of a circle is pir^2
3.14(11)^2
3.14(121)
=380sqft
how many integers between 100 and 999 (inclusive) have distinct digits
Answer:
648
Step-by-step explanation:
Running this in Python, with the code as follows,
import math
cur_numbers = [0] * 3
num = 0
for i in range(100, 1000):
cur_numbers[2] = i % 10
i = math.floor(i/10)
cur_numbers[1] = i % 10
i = math.floor(i/10)
cur_numbers[0] = i % 10
if(len(set(cur_numbers)) == 3):
num += 1
print(cur_numbers)
print(num), we get 648 as our answer.
Another way to solve this is as follows:
There are 9 possibilities for the hundreds digit (1-9). Then, there are 10 possibilities for the tens digit, but we subtract 1 because it can't be the 1 same digit as the hundreds digit. For the ones digit, there are 10 possibilities, but we subtract 1 because it can't be the same as the hundreds digit and another 1 because it can't be the same as the tens digit. Multiplying these out, we have
9 possibilities for the hundreds digit x 9 possibilities for the tens digit x 8 possibilities for the ones digit = 648
If AB is parallel to CD and the slope of AB is -3, what is the slope of CD
Answer:
-3
Step-by-step explanation:
The slopes of parallel lines are equal.
If two lines are parallel (that means they are at the same angle, they are always the same distance apart and they never cross), then they have the same slope. Both lines have slope -3
Answer:
-3
Step-by-step explanation:
There is a rule in math that if two slopes are parallel, they must have the same slope. Let's answer the question with this first.
So AB is parallel to CD, meaning they must have the same slope. If AB's slope is -3, then so must CD's. That's the answer to the question.
Coming back to the parallel slope rule, why does this work? Well, if two lines are parallel, it means they never will touch each other, meaning they rise, fall, bend, curve, etc... at the same rate. The slope is the change in how much the line rises divided by the change in how much it runs (moves horizontally). That proves the rule.
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If 3 is added to three quarter of a certain number, the result is 30.find the original number.
Answer:
Original number is 36
Step-by-step explanation:
Let,
Number be x
3x/4 + 3 = 30
3x + 12/4 = 30
3x + 12 = 30 × 4
3x + 12 = 120
3x = 120 - 12
3x = 108
x = 108/3
x = 36
2y-7.4y=141.36
solve for y
a calculus problem that i have no idea what to do please help
Answer:
-[tex]\sqrt{5}[/tex]/8
Step-by-step explanation:
so you are looking to find the second derivative of this function, given the derivative. that means that all you have to do is take the derivative of that function and then plug in 16 for h.
rewrite the function to be -(5h)^1/2
then take its derivative using power rule and chain rule
-(1/2)*(5)*(5h)^(-1/2) **the five comes from the chain rule and taking the derivative of the 5h
then plug in 16 for h to find -[tex]\sqrt{5}[/tex]/8 or about -0.2795
Cristine's middle school has a total of 900 students and 45 teachers. The local high school has 110 teachers and a student-teacher ratio proportional to the middle schools. How many students will Cristine find when she gets to high school?
A) 900
B) 1100
C) 2200
D) 2500
Answer: C) 2200
Step-by-step explanation:
I have no idea how to do this. Please help.
Answer:
Area is 5 cm and perimeter is 12 cm
Step-by-step explanation:
Area: top left sqare:
1cm * 1cm = 1 cm
bottom rectangle:
1cm * 3 cm = 3 cm
top right square:
1cm * 1cm = 1 cm
Perimeter:
1 cm + 2 cm+ 3 cm+ 2 cm+ 1 cm + 1 cm + 1cm + 1cm = 12 cm
solve: 8+ x/2= 1/4 (x-4)-1
A. X = -40
B. X = 40
C. There are infinitely many solutions.
D. X = -24
A company rents out 11 food booths and 20 game booths at the county fair. The fee for a food booth is $100 plus $9 per day. The fee for a game booth is $95 plus $6 per day. The fair lasts for d days, and all the booths are rented for the entire time. Enter a simplified expression for the amount in dollars, that the company is paid. The expression is?
Answer:
3000 +219d
Step-by-step explanation:
The food booth rental revenue is ...
11(100 +9d) = 1100 +99d
The game booth rental revenue is ...
20(95 +6d) = 1900 +120d
Then the total revenue is ...
(1100 +99d) +(1900 +120d) = 3000 +219d
Can someone please help me with this
Answer:
Ted's Organic Market
Step-by-step explanation:
Calculate the unit cost ( price per pound )
From the table using $16.50 for 6 lbs , then
unit cost = $16.50 ÷ 6 = $2.75
From the graph using $8.40 for 3 lbs , then
unit cost = $8.40 ÷ 3 = $2.80
Ted's Organic Market has the better price
Cynthia gave 1/5 of her toys to her little sister. If she had 25 toys, how many did she give away?
Answer:
25*1/5(or 0.2)=
5
she gives a way 5 toys
Hope This Helps!!!
The number of toys that she gives away will be 5.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
It is also known as the product. If the object n is given to m times then we just simply multiply them.
Cynthia gave 1/5 of her toys to her little sister.
If she had 25 toys.
Then the number of toys that she gives away will be given by the product of 25 and 1/5.
⇒ 25 x 1 / 5
⇒ 5
The number of toys that she gives away will be 5.
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The staff at Aretha's Furniture built 60 chairs and stools in one day. It takes one person 3 hours to produce a chair and 2hours to build a stool. How many of each were made if the staff of 12 people worked 8 hours each? x+y= 60; 3x + 2y = 96 x + y = 96; 2x + 3y = 60 You can use a system of equations to find the answer. Let x = the number of chairs, and y = the number of stools. x + y = 60; 2x + 3y = 12 x+y= 60; 3x + 2y = 12 +
Answer:
Number of chairs = 24
Number of stools = 12
As about the question number 2, I think you should check whether the question you copied is correct are not.
Step-by-step explanation:
1. One person,
Three hours for a chair and two hours for a stool
Therefore, 12 people working for 8 hours;
Per person produced two chairs and one stool as 3+3+2=8 hours
12×2= 24 chairs and 12×1=12 stools.
You need $145 in cash if you withdraw money from your savings account using the ATM how much will you need to withdraw in order to have at least one $145 based upon how ATM’s dispense money?
Answer:
290
Step-by-step explanation:
145 withdrawal free + 145 in cash = 290.
A scale drawing of a rectangular park had a scale of 1 cm = 100 m. What is the actual perimeter of the park in meters?
10.1 and 8.8
Answer:
3780 m
Step-by-step explanation:
First, we find the perimeter of the scale drawing.
perimeter = 2(L + W)
perimeter = 2(10.1 cm + 8.8 cm)
perimeter = 2(18.9 cm)
perimeter = 37.8 cm
Now that we have the perimeter of the drawing, we use the scale to find the real perimeter.
1 cm (drawing) = 100 m (real)
37.8 cm × 100 m/cm = 3780 m
Answer: 3780 m
Which of the following statements is the only
sentence that is error-free?
what is 4 + 3i^2 and is it real or imaginary?
Answer:
4+6i
Step-by-step explanation:
Distribute the 2 to the 3i
You get 6i, you can't add 4 to 6i because 4 is real and 6i is imaginary.
It's a complex imaginary number
Real
[tex]\\ \sf\longmapsto 4+3i^2[/tex]
i^2=-1[tex]\\ \sf\longmapsto 4+3(-1)[/tex]
[tex]\\ \sf\longmapsto 4-3[/tex]
[tex]\\ \sf\longmapsto 1[/tex]
in a sale there is a 40% discount.what is the discount on a dress that costs $150.00
Answer:
$90 or $60
Step-by-step explanation:
A circumference of the wheel of Victoria is 4.4m. How much distance coill it cover in 500 revolutions?
[tex]\huge \bf༆ Answer ༄[/tex]
Total distance covered is equal to ~
Number of revolutions × circumference [tex] \sf500 \times 4.4[/tex][tex] \sf2200 \: m[/tex]Hence distance covered = 2200 m = 2.2 km
In the inequality -4n + 3 > 7, you will need to flip the inequality sign to solve for n. True False
Answer:
True because you need to divide by -4 at one stage. Dividing by a negative number will reverse the inequality.
Step-by-step explanation:
[tex]-4n+3>7\\\\\implies -4n >7-3\\\\\implies -4n> 4\\\\\implies n<\dfrac{4}{-4}\\\\\implies n<-1\\\\\text{Interval,}~ (-\infty, -1)[/tex]
24. What are the x and y intercepts of the following
equation: 4x – 3y = 24
A. X-intercept (6,0) and y-intercept (0,-8)
B. x-intercept (-8,0) and y-intercept (0,6)
C. x-intercept (4,0) and y-intercept (0,-3)
D. x-intercept (-3,0) and y-intercept (0,4)
Answer:
C
A. X-intercept (6,0) and y-intercept (0,-8) wrong
B. x-intercept (-8,0) and y-intercept (0,6)wrong
C. x-intercept (4,0) and y-intercept (0,-3) correct
D. x-intercept (-3,0) and y-intercept (0,4) wrong
Jane wrote all natural numbers from 5 to 12. including 5 and 12.
how many numbers did Jane write?
Need help ASAP! Problem and directions in picture;)
What is the value of ?
[tex]50 + angle \: \: u \: \: = 115 \\ = > angle \: \: u \: = 115 - 50 \\ = > angle \: \: u \: \: = 65[/tex]
Answer:
Angle U is 65°.
Hope you could get an idea from here.
Doubt clarification - use comment section.
What is the equation of the oblique asymptote?
h(x) = x² – 3x - 4/x + 2
Simplifying h(x) gives
h(x) = (x² - 3x - 4) / (x + 2)
h(x) = ((x² + 4x + 4) - 4x - 4 - 3x - 4) / (x + 2)
h(x) = ((x + 2)² - 7x - 8) / (x + 2)
h(x) = ((x + 2)² - 7 (x + 2) - 14 - 8) / (x + 2)
h(x) = ((x + 2)² - 7 (x + 2) - 22) / (x + 2)
h(x) = (x + 2) - 7 - 22/(x + 2)
h(x) = x - 5 - 22/(x + 2)
An oblique asymptote of h(x) is a linear function p(x) = ax + b such that
[tex]\displaystyle \lim_{x\to\pm\infty} h(x) - p(x) = 0[/tex]
In the simplified form of h(x), taking the limit as x gets arbitrarily large, we obviously have -22/(x + 2) converging to 0, while x - 5 approaches either +∞ or -∞. If we let p(x) = x - 5, however, we do have h(x) - p(x) approaching 0. So the oblique asymptote is the line y = x - 5.
How is Maths used in Construction??
Can someone help me with 10 - 15 pages
Answer:
They measure the area, volume, length, and width, in construction
10 - 15 = -5
Step-by-step explanation:
HOPE THIS HELPED
*FIRST PERSON TO GET IT RIGHT AND ANSWER FIRST GETS BRAINLIEST*
In an aquarium, there are starfish and octopi in a tank. The total number of animals in the tank is 30. The total number of legs in the tank is 171. Assuming that all animals have all their legs, find the number of each type of animal in the tank. (Starfish have 5 legs and Octopus have 8 legs)
(solve this using Elimination Method, MUST SHOW WORK)
Answer:
23 starfish, 7 octopi
Step-by-step explanation:
x=starfish
y=octopi
x+y=30
5x+8y=171
-5(x+y=30)
5x+8y=171
-5x-5y=-150
5x+8y=171
3y= 21
y=7
x+7=30
x=23
23 starfish, 7 octopi