Answer:
Exterior Angle 1 (2x-10): 140 degrees
Exterior Angle 2 (x+25): 130 degrees
Exterior Angle 3 (right angle): 90 degrees
Step-by-step explanation:
Givens:
Angle 3 = 90 degrees
Angle 1 + Angle 2 + Angle 3 = 180 degrees
Angle 1/2/3 + exterior angle = 180 degrees -> 180 - Angle1/2/3 = exterior angle
Step 1: Solving for x.
1. Using the first equation above, substitute the angles.
(2x-10) + (x+25) + 90 = 180
2. Combine like terms.
3x + 105 = 180
3. Solve for x.
3x = 75
x = 25
Step 2: Solving for angle 1 and 2.
Plug 25 in for x for both angles
Angle 1:
(2(25)-10) = 40 degrees
Angle 2:
((25)+25) = 50 degrees
Step 3: Solving for exterior angles.
Plug in the knowns to the second equation above and solve.
Angle 1:
180 - 40 = 140 degrees
Angle 2:
180 - 50 = 130 degrees
Angle 3:
180 - 90 = 90 degrees
I hope this helps!
Answer:
x=25
Step-by-step explanation:
90+2x-1-+x+25=180
3x+105=180
-105 -105
3x/3=25/3
Meaning x=25
what is 2+2 in pemdas
Answer:
Addition with the result of 4Step-by-step explanation:
Given
2 + 2 = 4PEMDAS is the rule that includes order of operations in the sequence:
Parentheses, Exponents, Multiplication and Division, Addition and SubtractionIn the given expression we have Addition bit of PEMDAS
If the point (3, 10) is on f(x), which point will be on f(x)+3?
please help me :(
Answer:
(3,13)
Step-by-step explanation:
so, you would add 3 to the y value
the point would be (3,13)
Help ASAP ILL GIVE BRAINLIST TO CORRECT PERSON TY! I already solved how much money she needs
Step-by-step explanation:
Let x be the amount Jennifer needs to spend more.
We have $112.49 + x >= $250.
We subtract $112.49 from both sides of the inequality to get x >= $137.51.
Hence, Jennifer needs to spend at least $137.51 more to earn the free T-shirt.
Answer:
33
Step-by-step explanation:
i think plz dont be mad
A theater has 384 seats. Each row has 16 seats. What is the value of x in the area model?
Answer:
x=4
Step-by-step explanation: 64/16=4
can i get some helpers?
Answer:
congruent, the triangles have 2 congruent sides and a congruent angle, therefore the triangles are congruent by the SAS Theorem
Step-by-step explanation:
5x-28 = 2x+8
3x=36
x=12
x+4 = 2x-8
(12)+4 = 2(12)-8
16 = 16, AB is congruent to DE
x-2 = 3x-26
(12)-2 = (36)-26
10 = 10, AC is congruent to DF
darren drove his car 96 miles and used 4 gallons of gasoline . what is the unit rate for miles per gallon
Answer:
24 miles per gallon
Step-by-step explanation:
Take the numbers of miles and divide by the number of gallons
96 miles / 4 gallons
24 miles per gallon
Answer: Darren is getting 24 miles per gallon. That should be your unit rate.
Which fraction represents 0.64 repeating A. 5/12 B. 7/11 C. 2/3 D. 9/13
Answer:
7/11
Step-by-step explanation:
I could tell it was either 7/11 or 9/13 because I knew 2/3 was .666 and the other one 5/12 is less than half, so it'd be less than .5.
7/11 = .6363
9/13= .6969
7/11 is the closest
Which of the following may be used as reasons in a two-column proof? Select all that apply.
Answer:
The word among the options that may be used for a two column proof includes;
1) Definitions
2) Theorems
3) Postulates
4) Properties
5) "Given"
Step-by-step explanation:
The word among the options that may be used for a two column proof includes;
1) Definitions; Includes the definitions of a geometry, that outlines the relevant properties
2) Theorems; Valid reasoning or conclusion that may not be directly evident in the presentation of the given relationships, but which serve to provide validation to more clearer relationships between the variables
3) Postulates; Previous suggestion or reasoning taken to be the true relationships
4) Properties; Characteristics of a given figure or expression
5) "Given"; Conditions initial stated as those of the properties of the figure or expression
For the equation y-3=2(x+4) the line has a slope of 2 and contains what point?
Answer:
(-4,3)
Step-by-step explanation:
I got it correct :)
The point is A ( -4 , 3 ) for the equation of line y - 3 = 2 ( x + 4 ) with slope 2
What is an Equation of a line?
The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
The equation of the line is y - 3 = 2 ( x + 4 )
The slope m = 2
Let the point be = A ( x₁ , y₁ )
The point A can be calculated from the equation of line
From the formula for equation of line , we can substitute the values and find the point A
So ,
Equation of line is y - y₁ = m ( x - x₁ )
Substituting the value of x₁ , y₁ and m in the equation , we get
y - 3 = 2 ( x - ( -4 ) 0
So , y₁ = 3
x₁ = -4
Therefore , the point A ( x₁ , y₁ ) = A ( -4 , 3 )
Hence , the point A is ( -4 , 3 )
To learn more about equation of line click :
https://brainly.com/question/14200719
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Given g(x) = 5x + 2, solve for x when g(x) = 7.
Given the foci of (8,0) and the difference of the focal radii = 6, find the equation of the hyperbola
Given :
The foci of hyperbola are (8,0) and (-8,0) .
The difference of the focal radii = 6.
To Find :
The equation of the hyperbola.
Solution :
We know, distance between foci is given by :
2c = 8 - (-8)
c = 8
Also, difference between the foci or focal distance is given by :
2a = 6
a = 3
Now, we know for hyperbola :
[tex]b^2 +a^2 = c^2\\\\b^2={c^2-a^2}\\\\b^2 = 64-9\\\\b^2 = 55[/tex]
General equation of hyperbola is :
[tex]\dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}=1\\\\\dfrac{x^2}{9}+ \dfrac{y^2}{55}=1[/tex]
Hence, this is the required solution.
i am confused i don't know how to solve this maybe someone on here can solve it but here is it Solve. 21r<7
Answer:
r<-3
Step-by-step explanation:
Answer:
r < [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
Given
21r < 7 ( isolate r by dividing both sides by 21 )
r < [tex]\frac{7}{21}[/tex] , that is
r < [tex]\frac{1}{3}[/tex]
HELP! Please help! Thank you so much!
(please try to show your work)
A pizzeria offers toppings of mushrooms, sausage, onions, onions olives, and peppers. How many different ways can a pizza be made, using anywhere from 0 to 5 toppings?
Answer:
0-5
Step-by-step explanation:
1 if theres 5 topping. 2 if there are 10 toppings. 3 if 15. 4 if 20. 5 if 25.
1/6 - 3/8 as a fraction
Answer:
-5/24
Step-by-step explanation:
find common denominator
8/48 - 18/48 = -10/48
simplified the answer is -5/24
Answer:
-5/24
Step-by-step explanation:
Are you sure you want your answer to be negative? Because if you switch the order, it would be 5/24. Just in case! Good luck and have a great day!
A contracter hires 4 workers for a construction project
Answer:
???
Step-by-step explanation:
so whats the question.
Ada charges a flat rate of $56.00 for painting houses plus an additional $8.00 for each hour she works. Which of the following expressions should Ada use to determine the cost for working 4 hours?
Answer:
cost = 56 + 8t, where t is the number of hours worked for.
for 4 hours of work, cost = 56 + 8 x 4 = $88
Step-by-step explanation:
What is the slope? (Number)
What is the y-intercept? (Number)
Write a linear equation y=mx + b to represent the table:
Answer:
slope=1
y-intercept=10
linear equation is y =x+10
Step-by-step explanation: to find slope take 2 points (0,10) and (2,12) as (x1,y1) and (x2,y2) respectively. Using slope formula(y2-y1/x2-x1) we get (12-10)/(2-0) which simplifies to 2/2 which is 1. y-intercept is the point where x is 0, then y is a number called y-intercept. And in the table when x=0 ,y=10 therefore 10nis the y-intercept. As for the linear equation, y=mx+b it simply is y=slope×x +y-intercept, from the previous question we can say y=1x+10 ( in math its better if the coefficient of x is 1 we can just say x) which is y=x+10.
notmxffin can u answer this please?
Answer:
1 - 3
2 - 1
3 - 4
4 - 3
Step-by-step explanation:
Max was fencing in his rectangular pool area. The length of the pool was (2x -3) feet and the width of the pool was (x + 4) feet. a) Write and simplify an expression for the perimeter of the pool area to be fenced in. Be sure to include the formula!
Answer:
(6x + 2) feet
Step-by-step explanation:
The formula for the perimeter of a rectangle = 2L + 2 W
Where L = Length
W = Width
Hence, the:
The length of the pool was (2x -3) feet and the width of the pool was (x + 4) feet.
The perimeter of the rectangular pool =
2(2x - 3) + 2(x + 4)
= 4x - 6 + 2x + 8
= 4x + 2x - 6 + 8
= (6x + 2) feet
Therefore, an expression for the perimeter of the pool area to be fenced is (6x + 2) feet
Jesse enjoys watching ‘Rudolph the Red-Nosed Reindeer’ during the holidays. If Jesse watches the movie three times every year, how many times will she have seen the movie when she turns 24?
Answer:
72
Step-by-step explanation:
Since every year she watches it 3 times, she would watch 3·24 times when she is 24. 3·24=3·20+3·4=60+12=72
Answer:
72
Step-by-step explanation:
I’m trying to prove this but I’m stuck... :(
Can someone help ?
Which of the following statements is TRUE about rectangle GHIJ.
Answer:
JK=KI
Step-by-step explanation:
Answer:
KJ=KI
Step-by-step explanation:
They're the same length
PLSSSS HELP ASAP!! GIVING BRAINLIEST!! Explain pls :)
At the store, meat was $73.70 for 5 pounds. If you bought 15 pounds, how much would it cost?
Answer:
I think it's
Step-by-step explanation:
73.70×3
221.1
For one Chemistry test, Joan had to answer 40 questions. Of these 40 questions, Joan answered 22 of them correctly. What percent did Joan get on her Chemistry test? Round your answer to the nearest whole number if necessary. *
Answer:
55%
Step-by-step explanation:
The total number of questions gotten correctly = 22
The total number of questions to be answered = 40
The percent of questions Joan got correctly is calculated as:
(The total number of questions gotten correctly/The total number of questions to be answered) × 100
22/40 × 100
= 55%
Suppose that 8 female and 6 male applicants have been successfully screened for 5 positions. If the 5 positions are filled at random from the finalists, what is the probability of selecting (A) 3 females and 2 males? (B) 4 females and 1 male? (C) 5 females? (D) At least 4 females?
Answer:
0.4196
0.2098
0.0280
0.2378
Step-by-step explanation:
Given that:
Number of females = 8
Number of males = 6
Total = 8 + 6 = 14
Number of positions = 5
Probability = required outcome / Total possible outcomes
Total possible outcomes = 14C5
nCr = n! / (n-r)! r!
14C5 = 2002 (from calculator)
(A) 3 females and 2 males?
Required outcome : 8C3 * 6C2 = 56 * 15 = 840
840 / 2002 = 0.4196
(B) 4 females and 1 male?
(8C4 * 6C1) / 14C5 = 420 / 2002 = 0.2098
(C) 5 females?
8C5 / 14C5 = 56 / 2002 = 0.0280
(D) At least 4 females?
4 female 1 male + 5 females
((8C4 * 6C1) + 8C5) / 14C5
(420 + 56) / 2002 = 0.2378
Can anyone tell me why I got this question wrong? Btw Happy Holidays!
Answer:
Hope this may helps you
Answer:
Column A:
You calculate slope doing y2-y1/x2-x1
So -10-1/5-(-2)= -11/7
Column B:
Rearrange the equation to get y
-3x+2y=7
2y=3x+7
y= 1.5x + 7
Therfore we have that the slope of column be is greater because it has a positive regression. While column A has a negative slope.
Rate positively and give brainlist
Which of the following expressions has the same meaning as “increase n by 25%
0.25n
0.75n
1.25n
1.75n
Answer:
1.25n
Step-by-step explanation:
n times 125% would be increasing it by 25%, so multiplying it by 1.25 would accomplish the same thing
pls help me with this question give u brainliest pls it's urgent pls help
[Image: Vertical number line ranging from negative 5 to 5.]
On this number line, zero represents sea level. Plot the following points based on the description provided.
• greatest common factor of 8 and 12
Answer:
Positive 4
Step-by-step explanation:
I believe this is the same as the problem above.
Factors for 8 => 1, 2, 4, 8
factors for 12 => 1, 2, 3, 4, 6, 12
the common greater number is 4. So the plot will be on posotive 4. Above sea level, which is above zero.
what is the solution of the system of equations?
y=2/3x+5
7x-3y=15
A. (0,5)
B. (2,19/3)
C.(4,23/3)
D.(6,9)
Answer:
(30, 25)
Step-by-step explanation:
Substitute (2/3)x + 5 for y in the second equation:
7x - 3([2/3]x + 5) = 15
Then:
7x - 2x - 15 = 15, or:
5x = 30. Thus, x = 30, and from the first equation we get:
y = (2/3)(30) + 5 = 20 + 5 = 25
The solution is (30, 25)
In a survey, four out of five people surveyed preferred creamy over chunky peanut butter. 120 people are shopping at the grocery store. Use the survey to predict how many people in the store would prefer creamy peanut butter?
Answer: Around 96 people would prefer creamy peanut butter.
Step-by-step explanation:
In the survey was found that 4 out of 5 preferred creamy over chunky peanut butter.
Then the relative frequency is:
4/5 = 0.8 prefer creamy peanut butter.
And we can assume that:
1/5 = 0.2 prefer chunky peanut butter.
We also could multiply these numbers by 100% to obtain the percentage forms:
0.8*100% = 80%
0.2*100% = 20%
Now, if there are 120 people in the grocery store, we can expect that the 80% will prefer creamy peanut butter.
Then we can expect that the number of people that prefers creamy peanut butter is:
N = (80%/100%)*120 = 0.8*120 = 96
Around 96 people would prefer creamy peanut butter.