Answers
64
x=154(vertically opposite angle)
d =p
then mpn =154-90 = 64
angle epm is straight angle
Related Questions
Which is the correct answer ?
Answers
Answer: D
Step-by-step explanation:
As the measure of the 75 degree angle is less than the measure of the 80 degree angle, rule out RS.
Also, the two triangles with the 80 degree angle are congruent, so PQ=QR.
This leavesc us with SP
2. At the beginning of a trip, the odometer on a car reads 30,680 and the
car has a full tank of gas. At the end of the trip, the odometer reads
30,970. It takes 20 gallons of gas to refill the tank.
a. What is the average rate of change of the number of miles with respect
to the number of gallons?
3. The total number of words M(t) that a person can memorize in time t, in
minutes, is shown in the following table
t
8 16 24 32 36
M(t) 10 20 25 25 25
a. Find the average rate of change of M as t changes from 8 to 16.
b. Find the average rate of change of M as t changes from 16 to 24.
c. Find the average rate of change of M as t changes from 24 to 32.
Answers
The average rate of change of the number of miles with respect to the number of gallons is 14.5 miles per gallon
How to determine the average rate of change?The given parameters can be represented as:
M(0) = 30680
M(20) = 30970
The average rate of change is calculated as:
M'(t) = (M(20) - M(0))/(20 - 0)
This gives
M'(t) = (30970 - 30680)/(20 - 0)
M'(t) = 14.5
Hence, the average rate of change of the number of miles with respect to the number of gallons is 14.5 miles per gallon
The average rate of change of M as t changes from 8 to 16.
This is calculated using
M'(t) = (M(16) - M(8))/(16 - 8)
M'(t) = (20 - 10)/(16 - 8)
M'(t) = 1.25
The average rate of change of M as t changes from 16 to 24.
This is calculated using
M'(t) = (M(24) - M(16))/(24 - 16)
M'(t) = (25 - 20)/(24 - 16)
M'(t) = 0.625
The average rate of change of M as t changes from 24 to 32.
This is calculated using
M'(t) = (M(32) - M(24))/(32 - 24)
M'(t) = (25 - 25)/(32 - 24)
M'(t) = 0
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Classify the following triangle. Check all that apply.
Answers
Answer:
The answer to the question is F
Step-by-step explanation:
Why it is an Scalene Triangle ,it because all the sides and angle are not equal
A mother and daughter decided to add their ages together. The sum of their ages is 76. Six years ago, the mother was 3 times the age of her daughter. How old is the daughter now?
Answers
Answer: The answer will be 19
Answer: 23 years old
Step-by-step explanation:
What is 4:3 in the form of 1:n
Answers
Answer: 1:0.75
Step-by-step explanation:
Ratio 4 to 3 = 4:3
Simplified Ratio 4.00:3.00
Ratio in Form 1:n 1:0.75
Ratio in Form n:1 1.33:1
Joey wants to buy a gym membership. He visits two gyms with two different fees. Gym A has a $40
sign up fee and it costs $25 per month. Gym B has a $50 sign up fee and costs $20 per month. How
many months will he have to belong to each before the costs are the same?
Answers
Answer:
2 months
Explanation:
50 - 40 = 10
25-20 = 5
10/5 = 2
The months for which Joey have to belong to each before the costs are the same are 2 months.
What is equation modelling?
Equation modelling is a method of writing a mathematical relation from a mathematical statement for mathematical analyses of the problem given.
Given is different fees structure of two gyms → Gym A has a $40 sign up fee and it costs $25 per month. Gym B has a $50 sign up fee and costs $20 per month.
Assume that the months for which Joey have to belong to each before the costs are the same be x.
Then -
For Gym A -
Total cost for x months = C[A] = 25x + 40
For Gym B -
Total cost for x months = C[B] = 20x + 50
For same cost -
C[A] = C[B]
25x + 40 = 20x + 50
25x - 20x = 50 - 40
5x = 10
x = 2
Therefore, the months for which Joey have to belong to each before the costs are the same are 2 months.
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2(z + 5) + 5(z + 2) = 10 (z - 1)
Answers
Answer:
z = 10
Step-by-step explanation:
simplify to
2z + 10 + 5z + 10 = 10z-10
2+5z-10z=-10-10-10
-3z = -30
z = 10
give brainiest please!
hope this helps :)
Answer:
z = 10
Step-by-step explanation:
Distribute:
(2z + 5) + 5(z + 2) = 10(z - 1)
2z + 10 + 5(z + 2) = 10(z - 1)
and distribute again:
2z + 10 + 5(z + 2) = 10(z - 1)
2z + 10 + 5z +10 = 10(z - 1)
and add the 2 tens that are in bold.
2z + 10 + 5z +10 = 10(z - 1)
2x + 20 + 5z = 10(z-1)
Theres a lot more steps but just
comebine like terms
Distribute
Stubtract 20 from both sides
simplify
subtract 10z from both sides
simplfy
divide both sides by the same factor
and simplfy.
Find the area of the following sector. Round your answer to the nearest tenth.
Answers
The area of the sector is 188.9 km².
What is a sector?A sector is a plane figure enclosed by two radii and an arc between them.
To calculate the area of the sector, we use the formula below.
Formula:
A = ∅πr²/360................. Equation 1Where:
A = Area of a sectorr = Radius of the circle∅ = The angle sustained by the sector at the center of the circleFrom the diagram,
Given:
r = 19 km∅ = 60°π = 3.14Substitute these values into equation 1
A = 60×3.14×19²/360A = 188.9 km²Hence, the area of the sector is 188.9 km².
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what is the solution to this equation ?
4(4x+1) = 3x - 4(6 - x) + 8
A. x = - 12/9
B. x = - 20/23
C. x = - 20/9
D. x = - 12/23
Answers
Answer:
x = -20/9
Step-by-step explanation:
First we need to distribute this equation 4(4x+1) = 3x-4(6-x)+8. After distributing we get 16x+4 = 3x-24+4x+8. Next we add like terms to get 16x+4 = 7x-16. Now subtract 7x on both sides to get 9x+4 = -16. Now subtract -4 on both sides to get 9x = -20. Now divide by 9 on both sides to get x= -20/9.
Hope that helps! :)
Segment Given: BA= BC and DA= EC
Proofs
Prove: BD BE
Statements
BA BC 3 DA FC. Given
BDE BE
A
Reasons
Answers
Answer:
Step-by-step explanation:
[tex]1) \overline{BA} \cong \overline{BC}, \overline{DA} \cong \overline{EC} \text{ (given)}\\2) \overline{BD} \cong \overline{BE}[/tex] (congruent segments subtracted from congruent segments form congruent segments)
Use the standard deviation values of the two samples to find the standard deviation of the sample mean differences.
Answers
The standard deviation of the sample mean differences is; 0.6898
How to find the standard deviation of the mean differences?
From online research, the sample size of the session regarding the number of people who will purchase the red box is; N₁ = 45
From online research, the sample size of the session regarding the number of people who will purchase the blue box is; N₂ = 60
Formula for standard deviation of the sample mean differences is;
σm₁ - σm₂ = √[(σ₁²/n₁) + (σ₂²/n₂)]
Thus;
σm₁ - σm₂ = √[(3.868²/45) + (2.933²/60)]
σm₁ - σm₂ = 0.6898
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Timmy has forty-five cents in his pocket. How many different ways can he have forty-five cents in change using only quarters, dimes, and nickels?
Answers
Answer:
Hi,
number of ways: 8
Step-by-step explanation:
[tex]\begin{array}{|c|c|c|}Quater&dime&nickel\\------&---&---\\0&0&9\\0&1&7\\0&2&5\\0&3&3\\0&4&1\\1&0&4\\1&1&2\\1&2&0\\------&---&---\\\end{array}[/tex]
There are 18 students on the debate club. How many ways can the club send 4 students to the next debate
Answers
There are 3060 ways the club send 4 students to the next debate if there are 18 students on the debate club.
What is permutation and combination?A permutation is the number of different ways a set can be organized; order matters in permutations, but not in combinations.
We have the total number of students = 18
The number of ways the club send 4 students to the next debate is:
= C(18, 4)
[tex]= \rm \dfrac{18!}{4!(18-4)!}[/tex]
= 3060
Thus, there are 3060 ways the club send 4 students to the next debate if there are 18 students on the debate club.
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1. In a sample of 800 students in BNHS, 160, or
20%, are Grade 7 students Based on the above
information, the school's paper reported that "20% of
all the students at BNHS are grade 7." This report is
an example ofIn a sample of 800 students in BNHS, 160, or
20%, are Grade 7 students Based on the above
information, the school's paper reported that "20% of
all the students at BNHS are grade 7." This report is
an example of
a. a sample
b. a population
c. statistical inference
d. descriptive statistics
19.. A statistics professor asked students in a class
their ages. On the basis of this information, the
professor states that the average age of all the
students in the university is 21 years. This is an
example of
a. a census
b. descriptive statistics
c. an experiment
d. statistical inference
20. A tabular summary of a set of data showing the
fraction of the total number of items in several classes
is a
a. frequency distribution
b. relative frequency distribution
c. frequency
d. cumulative frequency distribution
Answers
Answer:
1. c. statistical inference
19. d. statistical inference
20. b. relative frequency distribution
PLEASE HELP! 50 POINTS! IF YOURE NOT GOING TO ACTUALLY ANSWER, PLEASE DON'T SAY ANYTHING.
Answers
Answer:
Part A:
In order to find a coterminal angle, or angles of the given angle, simply add or subtract 360 degrees of the terminal angle as many times as possible.
Part B:Simply put, coterminal angles start at 0° and end at the same place, though in different directions and multiple times around (you're probably going to want to make that sound a little more formal). Since each time around is 360°, boom
Part C: 75° is in Quadrant II, right? If I go one more time around, 75 + 360 = 435°. I can also go "backward. Starting at 0 and going clockwise, I'm going 75 fewer degrees than all the way around, so 360-75 = 285° but since I'm going "backward" 75 - 360 = -285°. One more is on you.
Step-by-step explanation:
PLEASE HELP ASAP MARKING BRAINLEIST + 50 POINTS
Answers
Answer:
scale factor = [tex]\frac{1}{5}[/tex]
Step-by-step explanation:
the scale factor is the ratio of corresponding sides, image to original, so
scale factor = [tex]\frac{V'W'}{VW}[/tex] = [tex]\frac{1}{5}[/tex]
Could someone explain how to do this question?
Answers
Answer:
[tex]p\left( A|B\right) =0[/tex]
Step-by-step explanation:
Formula:
[tex]p\left( A|B\right) =\frac{p\left( A\cap B\right) }{p\left( B\right) }[/tex]
The only prime outcome is 3
Then
The set A = {3}
1 and 2 are the divisors of 2
Then
The set B = {1 , 2}
Therefore , p(A∩B) = 0
Also p(B) = 0.4+0.1 = 0.5
[tex]\Longrightarrow p\left( A|B\right) =\frac{0 }{0.5 }=0[/tex]
5x+5y=0
-8x+y=36
I need help with this.
Answers
from equation so:
5(x+y) =5 (0) => x+y=0
and by solving for × using elimination method
-8x+y=36
x+y=0
by subtracting both x and y we get
-9x=36 => x=-4
by inputing × into the "x+y=0" equation so we get:
-4+y=0 => y=4
Answer:
x= -4, y = 4.
Step-by-step explanation:
first, divide the first equation by its G.C.D (5), to obtain its simplest form.
5x/5 + 5y/5 = 0/5 to obtain x + y = 0.
Then, find the value of y by rearranging the second equation.
y = 36 + 8x. (Rem; when 8x moves to the other side of the equation, it changes the sign)
Now substitute the value of y (36 + 8x) in the first equation which is x + y = 0.
x + 36+8x = 0
Put like terms together.
36 + 9x = 0
move 9x to the other side and change its sign.
36 = -9x
divide both sides by 9,
x = -4.
Lastly, find the value of y by replacing the value of x in either equation.
-8(-4) + y = 36
32 + y = 36
rearrange to obtain
y = 36 - 32
y = 4.
What is the area of the following circle? Either enter an exact answer in terms of π or use 3.14 for π and enter your answer as a decimal. d=10
Answers
the applicants for a soccer coaching position were asked how many years of coaching experience they had. here are the resuts 1,2,2,2,2,4,4,5,5,6,8,8,8,10
Answers
Answer:
Mean: 4.7
Mode: 2
Median: 4.5
Step-by-step explanation:
Point M(5, 2) is the midpoint of segment XY. Point X has coordinates
(-4, 6). Find the coordinates of point Y
Please help!
Answers
Answer:
(14, -2)
Step-by-step explanation:
The coordinates of the midpoint is equal to the mean of the coordinates of the endpoints.
=============================================================
Solving :
⇒ 5 = -4 + x / 2
⇒ x - 4 = 10
⇒ x = 14
⇒ 2 = 6 + y / 2
⇒ y + 6 = 4
⇒ y = -2
===========================================================
Coordinates of Point Y :
⇒ Y = (x, y)
⇒ Y = (14, -2)
Answer:
Y (14, - 2 )
Step-by-step explanation:
using the midpoint formula for (x₁, y₁ ) and (x₂, y₂ ) , then
midpoint = ( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1+y_{2} } }{2}[/tex] )
equating the x- coordinates and the y- coordinates
let coordinates of Y = (x, y )
[tex]\frac{x-4}{2}[/tex] = 5 ( multiply both sides by 2 )
x - 4 = 10 ( add 4 to both sides )
x = 14
and
[tex]\frac{y+6}{2}[/tex] = 2 ( multiply both sides by 2 )
y + 6 = 4 ( subtract 6 from both sides )
y = - 2
coordinates of Y = (14, - 2 )
Frank bought 6 pens and 3 highlighters in the school store and paid $21 for the whole purchase. His friend , Andy paid $19 for 2 pens and 4 highlighters. If all pens cost the same and all highlighter cost the same, what is the price of one pen?
Answers
The price of one pen will be $1.5 and one highlighter is $4.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.
Given that:-
Frank bought 6 pens and 3 highlighters in the school store and paid $21 for the whole purchase.His friend, Andy paid $19 for 2 pens and 4 highlighters.The cost of the pen and the highlighter will be calculated by forming the two expressions from the given data in the question the expressions are as follows:-
6p + 3h = 21
2p + 4 h = 19
Solving the above linear equations by elimination method:-
( 6p + 3h = 21 ) x 2
( 2p + 4 h = 19 ) x 6
The new equations are:-
12p + 6h = 42
12p + 24h = 114
Substracting the below equation from the above equation we will get:-
6h - 24h = -72
-18 h = -72
h = $4
Put the value of h in any of the above equations:-
2p + 4 h = 19
2p + 4 ( 4 ) = 19
2p + 16 = 19
p = 3 / 2
P = $1.5
Therefore the price of one pen will be $1.5 and one highlighter is $4.
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Find the number of terms in the sequence.
-3, -3, -9, -15, ...,-9
Answers
Answer:
6
Step-by-step explanation:
I use the information I from my Nathan teacher
PLEASE HELP!!! EOC REVIEW!
From his eye, which stands 1.52 meters above the ground, Wyatt measures the angle of elevation to the top of a prominent skyscraper to be 28 degrees. If he is standing at a horizontal distance of 331 meters from the base of the skyscraper, what is the height of the skyscraper? Round your answer to the nearest tenth of a meter if necessary.
Answers
The height of the skyscraper is 177.51 m which is 331 m from the base of skyscraper.
What is Trigonometric Ratio?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
Here, h₀ = 1.52 m, angle of elevation = 28⁰
d = 331 m
Now, tan 28⁰ = h/d
h = d. tan 28⁰
h = 331 X 0.5317
h = 175.99 m
Total height = h + h₀
= 175.99 + 1.52
= 177.51 m
Thus, the height of the skyscraper is 177.51 m which is 331 m from the base of skyscraper..
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Answer:
Step-by-step explanation:
The answer is 177.5 dont add the .1
PLEASE HELP simplify (-2)(-3)^2-2(2-5)
Answers
Answer: -12
Step-by-step explanation: When solving this problem, PEMDAS is a key component. What is PEMDAS?
PEMDAS stands for the following:
P- Parentheses
E- Exponents
M-Multiplication
D- Division
A-Addition
S-Subtraction
This is also known as order of operations. Following this order, we can easily simplify the problem.
P-Parentheses
(-2)(-3)^2-2(2-5)
Our parentheses is (2-5). We can simply this to -3. Our problem now is
(-2)(-3)^2-2(-3)
E-Exponents
We have one set of exponents in this. It is -3^2. This simplifies to 9. Our problem now is
(-2)(9)-2(-3)
M- Multiplication
We can simply to.
-18+6
These simplifies into
-12
Answer:
-12
Step-by-step explanation:
-2*9-2(2-5) : Raise -3 to the power of 2
-18-2(2-5) : Multiply -2 by 9
-18-2*-3 : Subtract 5 from 2
-18+6 : Multiply -2 by -3
-12 : Add -18 and 6
Find the following measure for this figure.
Volume=
36 square units
24 square units
12 square units
Answers
4 x 2 x 3 = 24.
4 x 2 = 8
8 x 3 = 24.
therefore, it’s 24 cubic units.
If EFGH is a parallelogram, what is the value of x?
F
(4x-2)
34
G
E
H
A. 34
OB. 30.5
OC. 36
D. 82
OE. 37
OF. 9
Answers
Based on the property of the consecutive angles of a parallelogram, the value of x is calculated as: E. 37.
What are the Properties of the Angles of a Parallelogram?In a parallelogram, the angles that are opposite to each other are congruent while consecutive angles are supplementary.
Angles F and G are consecutive angles and are therefore supplementary (have a sum of 180 degrees.)
Angle F + angle G = 180
4x - 2 + 34 = 180
4x + 32 = 180
4x = 180 - 32
4x = 148
x = 148/4
x = 37
Value of x is: E. 37.
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10 POINTS, please explain your answer ik so confused about how to get surface areas ty lol
Answers
Step-by-step explanation:
since there is triangle , you use the formula
1/2 × b × h
as you can see the base is 6 and the height is 4, so
1/2 × b × h
= 1/2 × 6 × 4
=12
12 × 2 = 24 , you times by 2 because there is 2 triangle
There is also rectangle in the diagram, so you use the formula , length × breadth , the length is 8 and the breadth is 5, so
length x breath
= 5 × 8
=35
35 × 2 = 70 , times by 2 because you can see 2 rectangles with the same length and breadth
length x breath
= 8 × 6
= 48
this one is different because the length is 8 and the breadth is 6.
SA = 48 + 35 + 24
= 107 cm ²
Sorry for my bad eng ,its not my first language.
Katrina lives directly east of the park. The football field is directly south of the park. The
library sits on the line formed between Katrina's home and the football field at the exact point
where an altitude to the right triangle formed by her home, the park, and the football field
could be drawn. The library is 4 miles from her home. The football field is 18 miles from the
Answers
The distance between library and park is 6√2 miles and the distance between park and field is 6√11 miles.
What is Similar Triangle?Similar triangles are the triangles that have corresponding sides in proportion to each other and corresponding angles equal to each other.
Here, mark the park as A, Home as B, Library as C and field as D.
Now, CD = 18 miles
BC = 4 miles
we have to find AC (distance between library and park)
BD = BC + CD = 18 + 4 = 22 miles
Using property of similar triangles,
AD² = BD X CD
AD² = 22 X 18
AD = √22 X √18
AD = 6√11 miles
By Pythagoras theorem,
AD² = AC² + CD²
396 = AC² + 324
AC² = 396 - 324
AC² = 72
AC = √72
AC = 6√2 miles
Thus, the distance between library and park is 6√2 miles and the distance between park and field is 6√11 miles.
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quadrilateral PQRS is transformed to create quadrilateral P’Q’R’S
Answers
Answer:
D
Step-by-step explanation:
Reflection over the X-axis
All point passes, (x,-y)
Answer:
D.
Step-by-step explanation:
Reflection over the x-axis because the quadrilateral reflected.