Answers
Triangles must equal 180 degrees. The given 50 means the rest of the triangle is equal to 130. I believe because of the Side-Angle-Side theorem of triangles (if my knowledge of proofs from 3 years ago is still with me), the two remaining angles are equal to each other. Let's call them X. 2x = 130. Divide both sides by 2. 130/2 = 65. So x=65
3 angles inside a triangle = 180 degrees
since the 2 sides are equal
angle B and C are the same
180 - 50 = 130 degrees
130 / 2 =65
Angle B is 65 degrees
Related Questions
Solving Quadratic Equations (pic link)?
Answers
x^2 = 54
x = sq root(54)
x = 7.34847
x = 7.3
A rectangle is twice as long as it is wide. if its length is increase by 4 cm and its width is decreased by 3 cm, the new rectangle formed has an area of 100 cm2 . find the dimensions of the original rectangle.
Answers
It's twice as long as wide, so now the length is 2w.
If the length is increased by 4 cm, the length will be 2w + 4.
The width is decreased by 3 cm, so the width will be w - 3.
The are of the new rectangle is 100 cm^2.
area = length * width
area = (2w + 4)(w - 3)
The area of the new rectangle is 100, so we get
(2w + 4)((w - 3) = 100
2w^2 - 6w + 4w - 12 = 100
2w^2 - 2w - 112 = 0
w^2 - w - 56 = 0
(w - 8)(w + 7) = 0
w - 8 = 0 or w + 7 = 0
w = 8 or w = -7
A width cannot be negative, so discard w = -7.
w = 8
The width is 8 cm.
The length is twice the width, so the length is 16 cm.
A rectangle patio is surrounded on three sides by a fence. If the areas of the patio is 45 m sq and the total of fence is 19m what is the length and width of the patio?
Answers
L + 2W = 19
L = 19-2W
substituting for L :-
W(19-2W) = 45
-2W^2 + 19W = 45
2W^2 - 19W + 45 = 0
W = 5 or 4.5
If W = 5, L = 9
If W = 4.5, L = 10
So there are 2 possible answers.
Which property of equality would be used to isolate the variable b in this equation? (3/4) b= 12
Answers
How many real solutions does the equation 0.2x^5-2x^3+1.8x+k=0 have when k = 0?
Answers
0.2x^5 - 2x^3 + 1.8x = 0
so x = 0 is one solution
taking 0.2x out we have:-
0.2x( x^4 - 10x^2 + 9x) = 0
factoring::-
(x^2 - 9)(x^2 - 1) = 0
this gives x = +/= 3 and x = +/- 1
so there are 5 real solutions
Answer:
It is 5
When Y=1 I got 0
Is there a value of k for which the equation has just one real solution?
I put no
Then for the last one I put Yes
Step-by-step explanation:
Edg 2020
What is the value of x in the equation x – y = 30, when y = 15?
Answers
Hope this helps :))
thats ur answer :)
Two trucks leave a warehouse at the same time. one travels due north at an average speed of 48 miles per hour, and the other travels due south at an average speed of 64 miles per hour. after how many hours will the two trucks be 728 miles apart?
Answers
When two objects are moving in opposite directions, their relative speed is the sum of their speeds. In this scenario, the trucks will be 728 miles apart after 6.5 hours of travel.
Explanation:The problem here is essentially an application of the concept of relative speed. The two trucks are traveling in opposite directions, so you add their speeds together to get the relative speed at which they are moving apart. That results in a combined speed of 48 mph (north) + 64 mph (south) = 112 mph. Now, to find out when they will be 728 miles apart, you divide the total distance by the combined speed:
728 miles ÷ 112 mph = 6.5 hours.
So, both trucks will be 728 miles apart after 6.5 hours.
Learn more about Relative Speed here:https://brainly.com/question/32038972
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Please help me solve this equation but show the steps so I can learn how to solve it.
0.25r-0.125+0.5r=0.5+r
Answers
0.25r−0.125+0.5r=0.5+r0.25r+−0.125+0.5r=0.5+r(0.25r+0.5r)+(−0.125)=r+0.50.75r+−0.125=r+0.50.75r−0.125=r+0.5
0.75r−0.125−r=r+0.5−r−0.25r−0.125=0.5.−0.25r−0.125+0.125=0.5+0.125−0.25r=0.625
−0.25r−0.25=0.625−0.25r=−2.5Answer:r=−2.5
PLZ HELP Simplify the rational expression. State any excluded values. 2x/-5x+x^2
Answers
(x(2)/(x(-5))+x^2
(-2/5)+x^2, the x values cancel in numerator and denominator and simplify to -2/5
Answer:
The excluded value is x=5.
Step-by-step explanation:
Given : Expression [tex]\frac{2x}{-5x+x^2}[/tex]
To find : Simplify the rational expression. State any excluded values.
Solution :
First we simplify the expression,
[tex]\frac{2x}{-5x+x^2}[/tex]
Taking x common from the denominator,
[tex]=\frac{2x}{x(-5+x)}[/tex]
Cancel the common term from numerator and denominator,
[tex]=\frac{2}{-5+x}[/tex]
To find the excluded value we put the denominator equal to zero to get the value of x in which given expression is not valid.
[tex]-5+x=0[/tex]
[tex]x=5[/tex]
Therefore, The excluded value is x=5.
Which object models a line ?
A. a fly
B. a wall
C. a meter stick
D. a television
Answers
The object is a meter stick that models a line.
What is a line?A line is an object in geometry that is indefinitely long and has neither breadth nor depth nor curvature.
Since lines can exist in two, three, or higher dimensional environments, they are one-dimensional things.
In daily language, a line segment with two points designating its endpoints is also referred to as a "line."
From the given choices:
A meter stick models a line.
Therefore, the object is a meter stick.
To learn more about the line;
https://brainly.com/question/17188072
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Which correctly describes how the graph of the inequality 6y-3x>9 is shaded
Answers
6y - 3x > 9
6y > 3x + 9
y > 3/6x + 9/6
y > 1/2x + 3/2
And greater then means shaded above the line.
I hope this helped! :)
Please mark as brainliest!
Answer: above the dash line!
Please help! 20 points!
Answers
divide: 5/4 = 1.25
answer is 1.25
Tell whether the lines for each pair of equations are parallel, perpendicular, or neither.
7x – 4y = 4
x – 4y = 3
A. Perpendicular
B. Parallel
C. Neither
Answers
Solve for x: 3x − 5 = 2x + 6.
1
−1
11
−11
Answers
3x-5=2x+6
subtract 2x and add 5
x=11
Hope this helps!
Answer:
X = 11 sweetheart
At a baseball stadium the price for popcorn is $14.70 for 5 bags. If you wanted to buy 4 bags of popcorn, how much would it cost?
Answers
Y2 + 30 ÷ x - 8 what is the value of the expression when x = 6 and y = 8?
Answers
So 2(8) + 30 ÷ 6 - 8. PEMDAS says we do the multiplication and division first.
This gives us 16 + 5 - 8 = 13.
Again assuming Y2 means 2 * Y in your equation, the answer is 13.
8 power 2 + 30 ÷ 6 - 8 =
64 + 30 ÷ 6 - 8 =
64 +5- 8 = 61
we use first the power then the multiplication or division and the last addition and subtraction
A sea turtle swims at a speed of 27 kilometers per hour. A girl swims 14 decimeters per second.
1 m = 10 dm
1000 m = 1 km
How much faster does the sea turtle swim than the girl in meters per minute?
Enter your answer in the box.
____m/min
Answers
~~~~~~~~~~The answer is 366 m/min~~~~~~~~~~~~~~~~~~ First, convert the turtles speed to meters per minute. 27 km/h * 1000 m/km = 27000 m/h / 60 min/h = 450 m/min Now convert the girls speed to meters per minute. 14 dm/s / 10 dm/m * 60 s/min = 84 m/min Now subtract the girl's speed from the turtle's speed. 450 m/min = 84 m/min = 366 m/min
A drama class has a total of 47 students. The number of males is 13 more than the number of females. How many males and how many females are in the class?
Answers
For spring break you and some friends plan a road trip to a sunny destination that is 1705 miles away. if you drive a car that gets 39 miles per gallon and gas costs $3.339/gal, about how much will it cost to get to your destination?
Answers
43.718*3.339 = $145.97
Answer:
$145.98
Step-by-step explanation:
You and some friends plan a road trip to a sunny destination that is 1705 miles away.
You drive a car that gets 39 miles per gallon.
Total gas used in the trip = [tex]\frac{1705}{39}[/tex]
= 43.7179487 ≈ 43.72 gallons
Gas costs per gallon = $3.339
Total cost to get to your destination = 43.72 × 3.339
= $145.98108 ≈ $145.98
The cost would be $145.98 to get to your destination.
how can you figure out how many miles you are using on a united fligjts
Answers
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The number 23 is what percent of 66
Answers
66 divided by 100 =.66
.66 x 23 =15.18
Solve for x. Show each step of the solution. 4.5(8−)+36=102−2.5(3+24) i need to show my work dont just give me the answer
Answers
4.5 * 8 - 36 = 102 - 2.5 * 27
36 - 36 = 102 - 2.5 * 27
36 - 36 = 102 - 67.5
36 - 36 = 34.5
Since we know 36 - 36 doesn't equal 34.5 its not true so there is NO ANSWER.
36 - 4.5x + 36 = 102 - 7.5x - 60
-4.5x + 72 = 42 - 7.5x
add 7.5x to each side and subtract 72 from each side
3x = 42 - 72
3x = -30
1. Is the equation true, false, or open? 9p + 8 = 10p + 7 A. Open; there is a variable. B. True; the expressions are the same for all values of the variables. C. False; the expression are never the same.
Also all the answers in the Unit Test please
Answers
BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!
1. A store had 235 MP3 players in the month of January. Every month, 30% of the MP3 players were sold and 50 new MP3 players were stocked in the store.
Which recursive function best represents the number of MP3 players in the store f(n) after n months?
f(n) = 0.7 x f(n − 1) + 50, f(0) = 235, n > 0
f(n) = 237 − 0.7 x f(n − 1) + 50, f(0) = 235, n > 0
f(n) = 0.3 x f(n − 1) + 50, f(0) = 235, n > 0
f(n) = 237 + 0.7 x f(n − 1) + 50, f(0) = 235, n > 0
2. Sophia invested some money in a bank at a fixed rate of interest compounded annually. The equation below shows the value of her investment after x years:
f(x) = 500(1.05)x
What was the average rate of change of the value of Sophia's investment from the second year to the fourth year?
14.13 dollars per year
28.25 dollars per year
50.00 dollars per year
56.50 dollars per year
Answers
Given that a store had 235 MP3 players in the month of January and that every month, 30% of the MP3 players were sold and 50 new MP3 players were stocked in the store.
The number of MP3 players in the store after the previous months sale is given by 0.7f(n - 1) and the number of MP3 players in the store after new MP3 were added is 0.7f(n - 1) + 50.
Therefore, the recursive function that best represents the number of MP3 players in the store f(n) after n months is given by f(n) = 0.7 x f(n − 1) + 50, f(0) = 235, n > 0
Part 2:
The average rate of change of a function from a to b is given by
[tex]average \ rate \ of \ change= \frac{f(b)-f(a)}{b-a} [/tex]
Given that the equation showing the value of her investment after x years is given by
[tex]f(x)=500(1.05)^x [/tex]
Thus, the average rate of change of the value of Sophia's investment from the second year to the fourth year is given by
[tex]Average \ rate \ of \ change= \frac{f(4)-f(2)}{4-2} \\ \\ = \frac{500(1.05)^4-500(1.05)^2}{2} = \frac{607.75-551.25}{2} \\ \\ = \frac{56.5}{2} =28.25[/tex]
Therefore, the average rate of change of the value of Sophia's investment from the second year to the fourth year is 28.25 dollars per year.
A farmer drives a tractor from one town to another, a distance of 120 kilometers. He drives 10 kilometers per hour fast on the return trip, cutting an hour off the time. How fast does he drive each way?
Answers
120x + 1200 - 120x = x(x+10)
1200 = x^2+10x
x^2 + 10x - 1200 = 0
(x+40)(x-30) = 0
Positive solution:
x = 30 km/hr (rate on the 1st trip)
x+10 = 40 km/hr (rate on the return trip)
PLEASE HELP! What is the first step you will use to solve this equation:
4x +2 = 7x - 13
Question 1 options:
Add 13 to both sides
Subtract 2 from both sides
Add 7x to both sides
Subtract 4x from both sides
Answers
Add 7x to both sides
adding 13 to either side or subtracting 2 from either side will be the same thing
So either of them will be the right answer
PLEASE HELP! I'm so confused!
Hourly employees working more than 40 hr a week are often paid "time and a half" for overtime, any hours beyond 40. In the formula p = wr + 1.5we, gross pay (p) is computed by multiplying the hourly wage (w) by the number of regular hours worked (r[tex] \leq [/tex]40) and adding 1.5 times the product of the hourly wage (w) and the number of extra hours (e) beyond 40. Find your gross pay if you work the given number of hours at the given rate.
40 hr at $8.12/hr
47 hr at $10.92/hr
Answers
Suppose y varies directly with X
Answers
y = kx
We can use the given (x,y) point to find k.
18 = k * 3
k = 6
Our direct variation is
y = 6x
Now we need x when y = 24.
24 = 6x
x = 4
What is the value of h(−2) when h(x)=3x+1 ?
Enter your answer in the box.
h(−2)=
HELP PLS 30PTS
Answers
h(x) = 3x+1
h(-2) = 3(-2) +1 =-6 +1 =-5
h(-2) = -5
Answer:
we have
h(x)=3x+1
now
h(-2)=3×-2+1=5 is your answer
Please help me thank you very much.
Please answer all 4 questions.
Answers
2. Skew means the never intersect and they aren't on the same plane so it is GK and DH
3. Angle 3 corresponds because it is the bottom left and 7 is the bottom left.
4. 3 and 5 are same-side interior because they are both on the left side and both are inside.
Hope this helps!