Amber believes triangle ABC and triangle GFE are congruent. She has recorded the measures of some of the angles and the lengths of some of the sides in the triangles below.
What additional measurement would support Amber’s hypothesis?
a.The measure of c is 32
b.The measure of c is 40
c.The measure of c is 50
d.The measure of c is 90
Answers
b. The measure of c is 40.
_____
In actual fact, the triangles not only are not congruent, they cannot exist. The total of sides FG and FE (82 cm) is less than the length of side GE (38 in). 82 cm is about 32.3 inches, about 5.7 inches too short.
Even if you overlook the units problem, the sum of squares of the sides of the triangle is 32² +38² = 2468, somewhat short of 50² = 2500. That is, the largest angle is slightly more than 90°. It is closer to 90.754° ≈ 91°.
You can label a diagram any way you want, but that doesn't mean the numbers are consistent or sensible.
Answer:
B
Step-by-step explanation:
Related Questions
*Please help, will mark correct answer as brainliest*
What is the formula for finding a break-even point?
Answers
Break-even point in units =
Fixed costs/( Sales price per unit - Variable cost per unit )
Break-even point in Dollars = Break-even point in units * Sales price per unit
Answer:
break even point=(0.01)(# of points)(P)/monthly savings
Step-by-step explanation:
ap3x
Use a net to find the surface area of the prism.
•213 m^2
•426 m^2
•336 m^2
•306 m^2
Answers
SA=2(L×W)+2(L×H)+2(H×W)
SA=2(12×5)+2(12×9)+2(5×9)
SA=120+216+90
SA=426m²
Answer: 426m²
Help with this math question please
Answers
52. The best answer is G. This is a circle of diameter 10 in, so 10 in is the longest dimension, and you would not be able to cut a 2-in wide section that is 10 in long since the circle immediately gets smaller when you move away from the diameter.
Q #5 Solve the system by graphing
Answers
(-1/3) x + y = -1
y = 4 + (1/3) x
Let's rewrite the system of equations:
y = (1/3) x - 1
y = (1/3) x + 4
We note that both lines have the same slope:
m = 1/3
Therefore, the lines are parallel.
The first line has a cut point with the y axis of:
(0, -1)
The second line has a cut point with the y axis of:
(0, 4)
Like the lines are parallel, the system has no solution.
Answer:
The system of equations has no solution.
Suppose u=⟨2,−2u=⟨2,−2⟩ and v=⟨6,2⟩v=⟨6,2⟩ are two vectors that form the sides of a parallelogram. then the lengths of the two diagonals of the parallelogram are
Answers
44.6
is the answer
What is the y-intercept of the quadratic function fx) (x- 6)(x-2)?
Answers
To find the y-intercept of a quadratic that is in factor formed follow the steps below:
First take the factor form and put it into standard quadratic form
Standard quadratic form:
[tex]ax^2 + bx + c[/tex]
To put the the factor form of a qudratic into standard form, we use the foil method
(x-6)(x-2) = [tex]x^2 - 8x +12[/tex]
Now to find the y-intercept, input 0 where the x is located:
[tex]f(x) = x^2 - 8x +12[/tex]
[tex]f(0) = 0^2 - 8(0) +12[/tex]
[tex]f(0) = 12[/tex]
y-intercept = (0,12)
Why did I use 0? Remember the y-intercept is where the line crosses the y axis so this means the x value of the y intercept is always = 0. Also, not, to find the y-intercept, you could of just multiplied the 6 and 2 in the factored form to get the 12 and since you know that the x is always 0 at the y-intercept, you know that the y-intercept is at (0,12)
Option 2
Input 0 for x in f(x) = (x-6)(x-2)
f(x) = (x-6)(x-2)
f(0) = (0 - 6)(0 - 2)
f(0) = (6)(2) = 12
x = 0
f(0) = y = 12
y-intercept = (0,12)
Answer:
The answer is B just took the test
Step-by-step explanation:
-4 log8 x - 2 = 6
Round to the nearest ten - thousandth
Answers
log8 x - 2 = 6/-4 = -3/2
log(x-2)/log8 = -3/2 ; log8 = 0.903089987
log(x-2)/0.903089987= -3/2
log(x-2) = -1.35463498
10 ^ -1.35463498 = x-2
x = 2.044194174
Two trains leave stations 532 miles apart at the same time and travel toward each other. One train travels at 90 miles per hour while the other travels at 100 miles per hours. How long will it take for the two trains to meet?
Answers
The two trains will meet in 2.4 hours.
What is the distance?Distance is defined as the product of speed and time.
We have been given that two trains depart from stations 532 miles apart at the same time and head in the opposite direction. The first train runs at 90 miles per hour, while the second at 100 miles per hour.
Let's assume x distance 90 mph train traveled
Then (532 - x) is the distance 100 mph train traveled
Travel time = distance/speed (equal in both directions)
⇒ x/90 = (532 -x)/100
⇒ 100x = 90× 532 - 90x
⇒ 100x + 90x = 47880
⇒ 190x = 47880
⇒ x = 47880/190
⇒ x = 252
So travel time = 252/90 = 2.4 hrs
Therefore, the two trains will meet in 2.4 hours.
Learn more about the distance here:
brainly.com/question/13269893
#SPJ2
a man owned 75 shares of stock worth $50 each the corporation declared a dividend of 8% payable in stock how many shares did he then own
Answers
After receiving an 8% stock dividend on his initial 75 shares, the man will own a total of 81 shares.
Explanation:The question is asking how many shares the man will own after a corporation where he holds stock declared a dividend payable in stock. The man initially owned 75 shares of stock, each worth $50, and the corporation declared an 8% dividend. To find out how many additional shares he receives as a dividend, we calculate 8% of his 75 shares:
Additional shares = 8% of 75 = 0.08 × 75 = 6 shares.
The man will then own his original 75 shares plus the 6 additional shares, for a total of:
Total shares owned = 75 + 6 = 81 shares.
Hey can you please help me posted picture of question
Answers
1) Multiplication by -1.
This implies F(x) is flipped over x-axis
2) Multiplication by 1/3
This implies F(x) is compressed vertically
3) Addition of 4 to x.
This implies F(x) is shifted by 4 units to left.
Thus, G(x) is obtained from F(x) by flipping it across x-axes, compressing it vertically and shifting it towards left.
Thus, option C is the correct answer
PLEASE PLEASE PLEASE HELP ME WITH ALGEBRA 1 PLEASE!?!?!?!?!!!?!?!?!?!?! I WILL GIVE LOTS OF POINTS AND BRAINLEST PLEEEEEEEEEEEEEEEEASE!!?!?!?!?!?!!?!?!?!?
What are the different ways you can solve a system of linear equations in two variables? What is the process for solving a system using each method?
Answers
It is
________________________________
[tex]2x + y = 4, 2x - y = 0 is [[2 1], [2 -1] [4, 0][/tex]
Hope I helped have a good day
You save $15,000.00. You place one-third in a savings account earning a 4.6% APR compounded annually. You then invest one quarter of the remaining balance in a 3-year U.S. Treasury bond earning a 5.2% APR compounded annually and the rest in a stock plan. Your stock plan increases in value 3% the first year, decreases 8% in value the second year, and increases 6% in value the third year. What is the balance of the savings account by the end of the third year?
$4,618.81
$2,910.63
$5,722.23
$3,910.02
Answers
1. You deposited 1/3 of 15,000 or 5,000 in a savings account that earns 4.6% compounded annually. If 5,000 is already in the savings account, there is still 10,000 left.
2. One-fourth(1/4) of 10,000 or 2,500 is invested in 3-year US Treasury bond earning 5.2% compounded annually. If 2,500 is invested, there is still 7,500 left.
3. The 7,500 was invested in the stock market.
For the savings account
The amount of money deposited in the savings account after three years will be
[tex]F_2=P\left(1+r\right)^t=5,000\left(1+0.046\right)^3=5,722.23[/tex]
Therefore, the balance of the savings account after three years is $5,722.23.
Calculate the total budget and then fill in the missing percentages. You will use some of the answers given more than once. Total budget = Household Budget Item Percent % Amount $ Donations 1,620 Taxes 1,620 Food 3,510 Clothing 2,700 Housing 1,350 Transportation 675 Insurance 675 Savings 675 Recreation and miscellaneous 675
Answers
Donations = 12%
Taxes = 12%
Food = 26%
Clothing = 20%
Housing = 10%
and the rest are 5 %
Answer:
Step-by-step explanation:
To calculate the percentage of each expenses we use this formula :
[tex]\frac{amountofbudgetitem}{Totalbudget}[/tex] × 100
Household Budget Items Amount ($) Percentage
Donations 1,620 12%
Taxes 1,620 12%
Food 3,510 26%
Clothing 2,700 20%
Housing 1,350 10%
Transportation 675 5%
Insurance 675 5%
Savings 675 5%
Recreation and
miscellaneous 675 5%
Total Budget 13,500 100%
Test the claim that mean gpa of a night student is significantly different than 2.1 at the 0.02 significance level
Answers
The ratio of the length to the width of a map is 8 to 5. The map is exactly 32 inches in length. What is the width of the map? A. 13 inches B. 20 inches C. 24 inches D. 32 inches
Answers
Length of the map = 32 inches
Let the width of the map = x inches
So,
Length : Width = 8 : 5
32 : x= 8: 5
x = 5/8 * 32
x = 20 inches
So, the width of the map is 20 inches
Answer:
B. 20 inches
Step-by-step explanation:
Remember that when dealing with ratios or unit rates you just have to do simple rules of three to calcuate what they are asking you, in this case you have that in the map for every 8 units in the length there will be 5 in the width, so how many will there be when the map is 32 inches in length?
[tex]\frac{8}{5}= \frac{32}{x}\\x=\frac{32*5}{8}\\ x=20[/tex]
So the width of a map with a length of 32 inches and a ratio of 8:5 will be 20 inches.
hey can you please help me posted picture of question
Answers
( 2 - 8i ) + ( 5 - i )
Real part is added in real part and the complex part is added in complex part
= 2 +5 - 8i - i
= 7 - 9i
So, the answer is 7 - 9i
your drawer contains 6 black socks and 8 white socks. what is the probability that both socks are black
Answers
[tex] \displaystyle
|\Omega|=\binom{14}{2}=\dfrac{14!}{2!12!}=\dfrac{13\cdot14}{2}=91\\
|A|=\binom{6}{2}=\dfrac{6!}{2!4!}=\dfrac{5\cdot6}{2}=15\\\\
P(A)=\dfrac{15}{91}\approx16\% [/tex]
Logarithmic form x^19 = y
Answers
1. You have the following expression given in the problem:
x^19 = y
2. By definition, you have:
logb(x)=y
b^y=x
3. Therefore, you have:
x^19 = y
logx(y)=19
4. Then, as you can see, the answer is: logx(y)=19
b ^ x = a , then to solve for the exponent x, log b a = x or read as log a base b = x.
x^19 = y
x = b
a = y
x = 19
log x y = 19 or log y base x = 19
Can someone please help me with this problem. I need help solving a and b
Answers
ax² +bx +c
Then the "a" and "b" in the expression -b/(2a) represent the coefficients of the squared term and the linear term, respectively. In your quadratic expression, the variable is "t", not "x", but that makes no difference. You have
a = -16
b = 96
Then the time (t) at the maximum height is
t = -b/(2a)
t = -96/(2(-16)) = 96/32 = 3
The ball is highest 3 seconds after being fired.
(b) Evaluating h for t=3, we get
h = -16*3² +96*3 +11
h = -144 +288 +11
h = 155
The maximum height of the ball is 155 ft.
please help with 23 and show how to work it out
Answers
To prevent rounding errors, you can put this all in one equation:
[tex]\frac{192}{4.5} \times {3} =128[/tex]
So answer C looks like the right one.
There is a game at the carnival that costs $20 to play. There are two outcomes: either you win $100 , or you lose. To play you roll a die. If a six appears you win; all other rolls you lose. if 1000 people played this game during one afternoon what would you expect to be the outcome?
A. the game earns $3330
B. the game earns $1660
C. the game loses $3330
D. the game loses $1660
Answers
Outcome on losing = $20
Probability of winning = 1/6
Probability of losing = 5/6
Expected Value = 1/6 (80) +5/6(-20) = -3.333
This shows on average from each game, the game earns $ 3.333.
So, if 1000 such games are played, the game will earn 1000 x 3.33 = $3330
So, the answer to this question is option A
Correct answer is Option(A) . The game earns $3330
Carnival Game Expected Outcome
To determine the expected outcome, we first need to calculate the expected value of playing this game once.
The cost to play is $20. If a six is rolled, the player wins $100; otherwise, they lose their $20.
Calculations:
Probability of rolling a six = 1/6Probability of not rolling a six (1, 2, 3, 4, or 5) = 5/6Expected value (EV) for one game:
EV = (1/6 x ($100 - $20)) + (5/6 x (-$20))EV = (1/6 x $80) + (5/6 x -$20)EV = $80/6 - $100/6EV = -$20/6EV ≈ -$3.33This means that on average, each player loses approximately $3.33 per game.
Outcome for 1000 Players
If 1000 people play the game, the total expected loss for the players will be:
Total Expected Loss = 1000 x EVTotal Expected Loss ≈ 1000 x (-$3.33) = -$3330Therefore, the game earns approximately $3330.
A 12-foot ladder is leaning against a wall. The distance from the base of the wall to the base of the ladder is feet. Given this information, what can be determined about the triangle formed by the ground, wall, and ladder? Check all that apply.
Answers
We are given the length of the ladder and the distance of the base of the ladder from the wall. With that we can solve for the height of the triangle as well as the angle of inclination wrt to the floor and foot of the ladder or the wall to the tip of the ladder.
Pythagorean's theorem provides for the following formula
Square of hypotenuse (longest side of the triangle) equals the sum of the squares of the two other sides for right triangles.
Thus
Length of ladder being the hypotenuse we have below equation
Hypotenuse = 12
Distance from the base to the foot of ladder = 1 foot/feet
height = ?
12² = 1² + h²
h = √144-1
h=√143
Solving for inclination with respect to wall to tip of the ladder we can use rule of sine for right triangle
sineФ = opposite side / hypotenuse
sineФ = 1/12 = 0.083333
Ф = sin^-1 or inverse sine of 0.083333
Ф = 4.78017268 degrees
Note : If the distance between the base is not interpreted correctly, just change the value and plugin to the equation to get the result.
Answer:
A,B,D,E
Step-by-step explanation:
did it on edge
A copy machine makes 132 copies in 5 minutes and 30 seconds. How many copies does it make per minute?
Answers
What is the interquartile range for the data set?
Could you please double check my answer for me?
Answers
1- By definition, the formula for calculate the interquartile range is
Interquartile range=Q3-Q1
Where Q1 is the lower quartile and Q3 is the upper quartile.
2-Keeping this on mind, you have:
Interquartile range=Q3-Q1
Q3=245
Q1=201
Interquartile range=245-201
Interquartile range=44
Therefore, the answer is: 44
Booker own 85 video games. He has 3 shelves to put the games on. Each shelf can hold 40 video games. How many more video games do he have room for
Answers
In a family with 8 children, excluding multiple births, what is the probability of having 7 boys and 1 girl, in any order? assume that a boy is as likely as a girl at each birth
Answers
The probability of having 7 boys and 1 girl in a family with 8 children is 1/128.
Explanation:To find the probability of having 7 boys and 1 girl in a family with 8 children, we can use the concept of combinations. There are 8 children in total, and we want to choose 7 boys and 1 girl from them. The probability of having a boy or a girl at each birth is 50%, so we can use the binomial coefficient to calculate the probability. The formula for the binomial coefficient is C(n, k) = n! / (k!(n-k)!), where n is the total number of children and k is the number of boys we want. Plugging in the values, we get C(8, 7) = 8! / (7!(8-7)!) = 8. Therefore, the probability of having 7 boys and 1 girl in any order in a family with 8 children is 8 / 2^8 = 1 / 128.
Determine if the function is an even function, an odd function or neither. y=-5x^(2)-2x+6
Answers
A function is even if, for each x in the domain of f, f (- x) = f (x). The even functions have reflective symmetry through the y-axis.
A function is odd if, for each x in the domain of f, f (- x) = - f (x). The odd functions have rotational symmetry of 180º with respect to the origin.
For y = -5x ^ (2) -2x + 6 we have:
f (-x) = - 5 (-x) ^ (2) -2 (-x) +6
f (-x) = - 5x ^ (2) + 2x + 6
Answer:
the function is neither
Answer:
C
Step-by-step explanation:
The endpoints of a line segments are at the coordinates (-6,3,4) and (4,-1,2) what is the midpoint of the segment
Answers
Explanation:
The coordinates of the mid point are calculated by dividing the sum of each pair of corresponding coordinates by 2.
This is how you calculate the mid of each coordinate separately:
1) x-coordinate:
mid x-coordinate = (- 6 + 4) / 2 = -2 / 2 = - 1
2) y-coordinate
mid y-coordinate = (3 - 1) / 2 = 2 / 2 = 1
3) z-coordinate
mid z-coordinate = (4 + 2) / 2 = 6 / 2 = 3
So, the midpoint is (-1, 1 , 3)
Go to lesson page Problem If you flip three fair coins, what is the probability that you'll get a head on the first flip, a tail on the second flip, and another head on the third flip?
Answers
Your probability of the given sequence of 3 coin flips is
2^-3 = 1/8
First if all, we know that the coin has two sides- head and tail
P(getting a head of the first flip):
1/2
P(getting a tail on the second flip):
1/2
P(getting a head on the third flip):
1/2
To find the final answer, take:
1/2×1/2×1/2=1/8
As a result, the probability that you'll get a head on the first flip, a tail on the second flip, and another head on the third flip is 1/8. Hope it help!
one day a store sold 12 sweatshirts white one cost $9.95 and yellow ones cost $12.50. In all 147.45 worth of sweatshirts were sold how many of each color were sold?
Answers
y= # of yellow sweatshirts
STEP 1:
set up quantity and cost equations
QUANTITY EQUATION
x + y= 12
COST EQUATION
$9.95x + $12.50y= $147.45
STEP 2:
solve for one variable in quantity equation
x + y= 12
subtract y from both sides
x= 12 - y
STEP 3:
substitute x value in step 2 in cost equation
$9.95x + $12.50y= $147.45
9.95(12 - y) + 12.50y= 147.45
multiply 9.95 by parentheses
(9.95*12) + (9.95*-y) + 12.50y= 147.45
119.40 - 9.95y + 12.50y= 147.45
combine like terms
119.40 + 2.55y= 147.45
subtract 119.40 from both sides
2.55y= 28.05
divide both sides by 2.55
y= 11 yellow
STEP 4:
substitute step 3 x value in either equation
x + y= 12
x + 11= 12
x= 1 white
CHECK:
$9.95x + $12.50y= $147.45
9.95(1) + 12.50(11)= 147.45
9.95 + 137.50= 147.45
147.45= 147.45
ANSWER: 1 white sweatshirt and 11 yellow sweatshirts were sold.
Hope this helps! :)