First, you can find angle 1 by using the triangle angle formula, stating that all angles add up to 180 deg. Thus, angle 1 is equal to 180-72-57= 51 deg.
Next, you can find angle 2 by using the right angle shown. This means that angle 2 plus 72 deg = 90 deg. Thus, angle 2 is equal to 90-72= 18 deg.
For angle 3, notice that it is bordering the other angle on a straight line. A straight line is equal to 180 deg. This means that angle 3 + 57 deg = 180 deg. Thus, angle 3 is equal to 180-57= 123 deg.
Angle 4 can be found by using the triangle angle formula used for angle 1. In this case, angle 2+3+4 will equal 180 deg. Thus, angle 4 is equal to 180-18-123= 29 deg.
Answer:
1= 51
2= 18
3= 123
4= 39
Step-by-step explanation:
First you must know that all triangles equal 180. From there you can add and subtract the known numbers to get your answers. For example with angle 1, because you are give 72 and 57 you must add them together to get 129 then subtract that from 180 to get 51. You can do similar steps for all the angles to receive the answers.
Determine if the graph shows two quantities that vary directly. If possible, determine the constant of proportionality using the formula K = y/x
Answer:
Option C is correct option.
Step-by-step explanation:
We need to find k constant of proportionality
In the graph below let us take the values of x and y
x=150 , y=50
x=300, y=100
x=450, y=150
Now finding k using the formula: [tex]k=\frac{y}{x}[/tex]
Putting values of x and y to find k
For x=150 , y=50 k = 50/150, k =1/3
For x=300, y=100 , k=100/300 , k=1/3
For x=450, y=150, k= 150/450 , k=1/3
Since for values of x and y, k = 1/3 is constant so, the graph shows two quantities that vary directly.
So, Option C is correct option.
Write an equation for the n th term of the arithmetic sequence 56, 48, 40, 32, ....
Answer:
-8n+64
Step-by-step explanation:
Pran ran 29 miles less than Robin last week. Pran ran 19 miles. How many
miles did Robin run?
Find the slope between the following points (2,5) and (-3,-9)
Answer: 14/5
Step-by-step explanation: Use Algebra calculator on math papá.com
Answer:
[tex]m=\frac{14}{5}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (2, 5)
Point (-3, -9)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute [SF]: [tex]m=\frac{-9-5}{-3-2}[/tex]Subtract: [tex]m=\frac{-14}{-5}[/tex]Simplify: [tex]m=\frac{14}{5}[/tex]Look at points C and D on the graph: HOW U PUT A PHOTO :=)
A coordinate plane graph is shown. Point C is at 1 comma 3. Point D is at 4 comma negative 3. A segment connects the two points.
What is the distance (in units) between points C and D? Round your answer to the nearest hundredth.
1. 3.01 units.
2. 5.20 units.
3. 6.50 units.
4. 6.71 units.
Answer:
6.71
Step-by-step explanation:
If you want to put picture i would recommend using your phone to do it. :]
Answer: its 6.71
Step-by-step explanation:
6. Slope =
Y-Intercept
Equation in slope-intercept form:
Timed!! Answer hurry!
You hear that tuition is going to increase by 3% next year. If tuition
this
year is $7,200 this year, what will the tuition be next year?
Answer: $7416
Step-by-step explanation:
You look up 3% of $7200 ($216) and add that to the original price to get $7416 :)
What is 5/8 ÷ 3/4 I need to know this please hurry
Answer:
5/6
Step-by-step explanation:
i used a caculater
BRAINLIEST PLEASE
write a word problem for 8x - 5 = 40
Answer:
Bob only has 40 dollars but he wants to buy a membership at the gym. It cost 8 dollars per month to receive a gym card. Bob went to the Gym in person so they gave him a 5 dollar off coupon. How many months can Bob buy?
Step-by-step explanation:
Answer:
eight and a variable subtracted by five equals forty
Step-by-step explanation:
At the Fast-Pack It shipping, the employees can unload 25 trucks in 5 hours. Which of the following is a correct unit rate for this situation? (4 points)
5 hours per truck
1 truck per hour
1 over 5. of a truck per hour
1 over 5. of an hour per truck
Answer:
five trucks per hour
Step-by-step explanation:
Write a multiplication equation and a division equation that this diagram could represent.
A tape diagram of three equal parts. Each part is labeled "eighteen". A brace from the beginning of the diagram to the end of the disgram is labeled "54".
Group of answer choices
3 • 18 = 54 and 54 ÷ 18 = 3
54 • 3 = 18 and 18 ÷ 3 = 54
c
3 • 18 = 54 and 54 ÷ 18 = 3
3 • 18 = 54 and 18 ÷ 54 = 3
Answer:
[tex]3 * 18= 54[/tex] and [tex]54/18 = 3[/tex]
Step-by-step explanation:
Given
[tex]Sections = 3[/tex]
[tex]Measurement=18[/tex] per section
[tex]Total\ Measurement=54[/tex]
Required
Model the scenario
The model of this scenario is:
[tex]Sections * Measurement = Total\ Measurements[/tex]
This gives:
[tex]3 * 18 = 54[/tex] -- This represents the multiplication model
Divide both sides by 18
[tex]3 * 18/18 = 54/18[/tex]
[tex]3 * 1 = 54/18[/tex]
[tex]3 = 54/18[/tex]
Reorder
[tex]54/18 = 3[/tex] -- This represents the division model
Answer:
121*5677*66766.546646
5
Step-by-step explanation:
The measurement of the complement of an angle is 40° more than the angle. What is the supplement for the angle?
Laura can finish payroll in 3
hours. It takes Ben 5 hours
to do the same job. If they
work together, how long
should it take them?
hours
Answer:
1/2
Step-by-step explanation:
First we divide 3 and 5, which gives us 0.6, then we use the LA Hypothalamus formula which is x2, so then we substitute the x with 0.6, 0.6 multiplied by 2 is 1.2, so then we transform it to a fraction, your welcome
Answer:
15/8
Step-by-step explanation:
please answer this :(
Answer:
X+2 metres. Just use a^+2ab+b^2
getting bored.Is there anyone???
Answer:
yes very much so
Step-by-step explanation:
yes I don't know why but I am really and truly
Answer:
WOW yRRRRRR
Step-by-step explanation:
5. Past experience shows that the standard deviation of the distances traveled by consumers to patronize Chinese restaurants is 2 km. How large a sample is needed to estimate the population mean distance traveled to within 0.4 km
Answer:
96
Step-by-step explanation:
Given that :
Standard deviation (s) = 2km
Error in estimation is within 0.4 km ; Error (E) = 0.4 km
Using the relation :
Sample size = ((Zα/2 * s) /E)^2
Using α = 0.05
The Zcritical at 0.05 = Z0.025 = 1.96
Sample size = ((1.96 * 2) / 0.4)^2
Sample size = (3.92 / 0.4)^2
Sample size = 9.8²
Sample size = 96.04
Required sample size = 96
quiz 4-1 : classifying and solving for sides/angles in triangles gina wilson (all things algebra) URGENT
Answer:
14.
[tex]x = 11[/tex] [tex]m<B = 108[/tex] [tex]m<C= 36[/tex] [tex]m<D = 36[/tex]
15.
[tex]x = 4[/tex] [tex]WX = 25[/tex] [tex]XY = 17[/tex] [tex]WY = 25[/tex]
Step-by-step explanation:
Solving (14):
[tex]BC = BD[/tex]
[tex]m<B = 13x - 35[/tex]
[tex]m<C = 5x - 19[/tex]
[tex]m<D = 2x + 14[/tex]
First, we solve for x.
Since sides [tex]BC = BD[/tex], then
[tex]m<C = m<D[/tex]
This is so because the theorem of ASA (Angle-Side-Angle)
So, we have:
[tex]5x - 19 = 2x + 14[/tex]
Collect Like Terms
[tex]5x - 2x = 19 + 14[/tex]
[tex]3x = 33[/tex]
Divide both sides by 3
[tex]x = 11[/tex]
Solving for m<B, m<C and m<D.
We simply substitute 11 for x in their respective expressions.
[tex]m<B = 13x - 35[/tex]
[tex]m<B = 13*11 - 35[/tex]
[tex]m<B = 143 - 35[/tex]
[tex]m<B = 108[/tex]
[tex]m<C = 5x - 19[/tex]
[tex]m<C= 5*11 - 19[/tex]
[tex]m<C= 55 - 19[/tex]
[tex]m<C= 36[/tex]
[tex]m<D = 2x + 14[/tex]
[tex]m<D = 2*11 + 14[/tex]
[tex]m<D = 22 + 14[/tex]
[tex]m<D = 36[/tex]
Solving (15):
[tex]<X = <Y[/tex]
[tex]WX = 9x - 11[/tex]
[tex]XY = 4x + 1[/tex]
[tex]WY = 7x - 3[/tex]
First, we solve for x.
Since [tex]<X = <Y[/tex], then
[tex]WX = WY[/tex]
This is so because the theorem of SAS (Side-Angle-Side)
So, we have:
[tex]9x - 11 = 7x - 3[/tex]
Collect Like Terms
[tex]9x - 7x = 11-3[/tex]
[tex]2x = 8[/tex]
Divide both sides by 2
[tex]x = 4[/tex]
Solving for WX, WY and XY
We simply substitute 4 for x in their respective expressions.
[tex]WX = 9x - 11[/tex]
[tex]WX = 9 * 4 - 11[/tex]
[tex]WX = 36 - 11[/tex]
[tex]WX = 25[/tex]
[tex]XY = 4x + 1[/tex]
[tex]XY = 4 * 4 + 1[/tex]
[tex]XY = 16 + 1[/tex]
[tex]XY = 17[/tex]
[tex]WY = 7x - 3[/tex]
[tex]WY = 7 * 4 - 3[/tex]
[tex]WY = 28 - 3[/tex]
[tex]WY = 25[/tex]
translate this sentence to an equation
38 is the product of Malik's score and 2. Use the variable m to represent Malik's score.
Answer:
Step-by-step explanation:
m * 2 = 38
Equation: 2m = 38
Solution:
2m = 38
m = 38/2
m = 19
Malik's score = 19
Answer:
Given :-38 is the product of Malik's score and 2. Use the variable m to represent Malik's score
To Find :-Marks scored by Malik
Solution :-The equation will be
[tex] \frak{2m = 38}[/tex]
Total marks
[tex] \tt \: m \: = \dfrac{38}{2} [/tex]
[tex] \tt \: m \: = 19[/tex]
The marks scored by Malik is 19
Doe has 2 3/8 pounds of hamburger meat. He is making 1/4 pound hamburgers .Does doe have enough meat to make 10 hamburgers
HELP!!! The probability that a male’s foot is between 10 and 12.5 inches is__
p(10
Answer:
I suggest you use Socratic, it solves questions like this.
Step-by-step explanation:
What is the value of the expression when a = 4, b = 3 , and c = 10?
3a4b−c
a 1
b 4
c 6
d 12
Answer:
3a4b-c
3(4)4(3)-10
12(12)-10
144-10
=134
Step-by-step explanation:
Answer:
134
Step-by-step explanation:
3×4=12
4×3=12
12×12=144
144-10=134
thats what I got
hope it helps
I am so stressed can someone please help me
It’s 53 points
Answer:
(3,1)
Step-by-step explanation:
.helppppppppppppppp!!!!!
answer: B
Step-by-step explanation: Its the only one that makes sense because as you see there are only four numbers to go off of, and b is the only one tht makes sense tbh
Does this graph represent a function? Why or why not?
find slope please help
Answer:
slope = -5/2
Step-by-step explanation:
rise/run
down 5
right 2
Rewrite in simpliest terms-
−0.2(3p−0.9)+0.4(−0.9p−5)
Answer:
-0.96p - 1.82
Step-by-step explanation:
PLS HELP I ONLY HAVE 30 MINS
Question 5 (4 points)
(04.02)
Determine whether the graph represents a proportional relationship. (4 points)
A graph is shown. The x-axis is labeled from 0 to 9. The y-axis is labeled from 0 to 10. Four points are shown on the graph on ordered pairs 0, 0 and 1, 3 and 2, 6 and 3, 7. These points are joined by a line. The label on the x-axis is Number of pans. The title on the y-axis is Number of cakes.
a
Yes, it is a proportional relationship because the graph goes through the origin
b
Yes, it is a proportional relationship because the graph is a straight line
c
No, it is not a proportional relationship because the graph is not a straight line
d
No, it is not a proportional relationship because the graph does not go through the origin
Answer:
C. It is not proportional because it is not a straight line.
Step-by-step explanation:
You can check to see if it is a straight line by setting up a table and ensuring that the values increase by the same amount every ordered pair.
------> The Answer Is C <------
Hope this helps have a good day :D
Felicia has a stack of 10 cards. Each card is labeled with a number in the range 1 through 10 and no two cards have the same number. She picks three cards at random from the stack and adds the numbers on the three cards. What is the expected value of the sum
Answer:
The expected value of the sum of three numbers chosen out of 10 numbers will be 16.5.
Step-by-step explanation:
Felicia has a stack of 10 cards with number 1,2,3,4,5,6,7,8,9,10
Selecting 3 cards out of 10
10C3 = 120
Now she picks three cards to look at their numbers and sum it up
The possible three numbers are
(1 2 3), (1 3 2), (2 1 3) ,(2 3 1), (3 1 2), (3 2 1) ,(1 2 4), (1 4 2), (2 1 4), (2 4 1),
(4 1 2)│(4 2 1), (1 2 5), (1 5 2)│(2 1 5), (2 5 1) ,(5 1 2), (5 2 1), (1 2 6), (1 6 2), (2 1 6), (2 6 1), (6 1 2) ,(6 2 1) ,(1 2 7), (1 7 2) ,(2 1 7), (2 7 1), (7 1 2), (7 2 1), (1 2 8), (1 8 2), (2 1 8) ,(2 8 1), (8 1 2) ,(8 2 1), (1 2 9), (1 9 2), (2 1 9), (2 9 1), (9 1 2), (9 2 1),
(1 2... …, (6 10 8), (8 6 10), (8 10 6), (10 6 8), (10 8 6), (6 9 10), (6 10 9), (9 6 10),
(9 10 6), (10 6 9), (10 9 6), (7 8 9), (7 9 8), (8 7 9), (8 9 7), (9 7 8), (9 8 7), (7 8 10),
(7 10 8), (8 7 10), (8 10 7), (10 7 8), (10 8 7), (7 9 10), (7 10 9), (9 7 10), (9 10 7),
(10 7 9), (10 9 7) , (8 9 10), (8 10 9), (9 8 10), (9 10 8), (10 8 9), (10 9 8)
Now we sum it all up so minimum sum can be 1+2+3 = 6 andthe maximum can be 8+9+10 = 27
Let S denote the sum of the three numbers that are chosen and P(S=k) denotes its probability
P(S=6)=1/120
P(S=7)=1/120
P(S=8)=1/60
P(S=9)=1/40
P(S=10)=1/30
P(S=11)=1/24
P(S=12)=7/120
P(S=13)=1/15
P(S=14)=3/40
P(S=15)=1/12
P(S=16)=1/12
P(S=17)=1/12
P(S=18)=1/12
P(S=19)=3/40
P(S=20)=1/15
P(S=21)=7/120
P(S=22)=1/24
P(S=23)=1/30
P(S=24)=1/40
P(S=25)=1/60
P(S=26)=1/120
P(S=27)=1/120
Now adding all the sum in order to get the expected value
∑(K=6 to 27) k*P(S=k) = 33/2 = 16.5
Therefore the expected value of the sum is 16.5.
Which graph shows the solution to the inequality -2x+10>20
Answer:
+20 bc 2x10= 20 so +20>20