Triangle A B F is shown. Line B F is extended through point G. Line F A is extended through point C. A line is drawn from point A to point D. A line is drawn from point F to point E. Which represents an exterior angle of triangle ABF? ∠BAD ∠AFE ∠CAD ∠CAB
Answers
Answer:
(D) [tex]\angle CAB[/tex].
Step-by-step explanation:
The diagram is attached below:
Theorem: An exterior angle of a triangle is equal to the sum of the opposite interior angles.
The exterior angle is the angle formed by the third side and a straight line which forms a supplementary angle with the third interior angle.
In the diagram:
[tex]\angle ABF$ and \angle AFB[/tex] are opposite interior angles.
The third angle is [tex]\angle BAF[/tex]
The angle which forms a supplementary angle with [tex]\angle BAF[/tex] is [tex]\angle CAB[/tex].
Therefore, the exterior angle of triangle ABF is [tex]\angle CAB[/tex].
Answer:
D
Step-by-step explanation:
Just took the test and got it right
Related Questions
Jon is playing a game with his friend Mike. Mike rolls two dice three times. Each time Mike rolls the dice, Jon squares both numbers and subtracts the smaller square from the larger square. After all three rolls, Jon adds the three numbers he obtained from the three rolls. If Mike rolls a 4 and a 3 on the first roll, a 6 and a 2 on the second roll, and a 3 and a 1 on the third roll, what is the sum that Jon obtains?
Answers
Answer:47
Step-by-step explanation:
On first roll Mike gets 4 and 3
So number he gets after subtraction of square is
[tex]\Rightarrow 4^2-3^2=7[/tex]
On second roll Mike gets 6 and 2
So number he gets after subtraction of square is
[tex]\Rightarrow 6^2-2^2=32[/tex]
On Third roll Mike gets 3 and 1
So number he gets after subtraction of square is
[tex]\Rightarrow 3^2-1^2=8[/tex]
Sum of numbers[tex]=7+32+8=47[/tex]
John obtains [tex]47[/tex] as sum
A ball was dropped from a height of 60m. Each time it hit the ground, it bounced up 1/2 (half) of the height that it dropped. How far had the ball travelled when it hit the ground for the fifth time?
Answers
Answer:
The ball traveled 116.25 m when it hit the ground for the fifth term
Step-by-step explanation:
This is a geometric progression exercise and what we are asked to look for is the sum of a GP.
The ball was dropped from a height of 60 m. This means that the initial height of the ball is 60 m.
First value, a = 60
Each time it hit the ground, it bounced up 1/2 (half) of the height that it dropped.
This is the common ratio, r = 1/2 = 0.5
The number of terms it hits the ground is the number of terms in the GP.
number of terms, n = 5
The distance traveled by the ball when it hit the ground for the fifth term will be modeled by the equation:
[tex]S_n = \frac{a(1 - r^n) }{1 - r} \\S_5 = \frac{60(1 - 0.5^5) }{1 - 0.5}\\S_5 = \frac{58.125}{0.5} \\S_5 = 116.25 m[/tex]
Which function has an inverse function?
A- F(x) = l x-4 l + 1
B- F(x) = 25x^2+70x+49
C- F(x) = x^4
D- F(x) = x+3/7
Answers
Answer:
D
Step-by-step explanation:
Of these four functions, D is the only one that has an inverse. The graph of D, which is F(x) = x + 3/7, passes the horizontal line test; the horizontal line intersects the graph of F(x) = x + 3/7 only once.
also need help for this but dont need to much of a explanation
Answers
Answer:
Slope: 1/2
Step-by-step explanation:
Use rise over run.
Please mark BRAINLIEST! Thanks!
EASY question for y’all mathy people, multiple choice. Ez points, question in photo
Answers
Answer: c
Step-by-step explanation:
Answer:
Subtract both sides by 2x
Divide each side by 6
Step-by-step explanation:
2x+6 = 8x
Subtract both sides by 2x
2x+6 -2x = 8x-2x
6 = 6x
Divide each side by 6
6/6 = 6x/6
1 =x
PLEASE HELP!
Solve by completing the square
x^2+8x = -20
Answers
Answer: x= -4+/- 2i
Step-by-step explanation: Used the formula (b/2)^2 to create a new term. I solved for x.
FYI
+/- means plus or minus sign I couldn't find the symbol on my key board. Hope this helps!
Please answer correctly !!!!!!! Will mark brianliest !!!!!!!!!!
Answers
Answer:
22
Step-by-step explanation:
[tex]f(5)= \\\\5(5)-3=\\\\25-3=\\\\22[/tex]
Hope this helps!
Consider the reduction of the complex figure with a scale factor of what is the area of the reduced figure?
42 mm
6 mm
28 mm Area = 1225 mm2
4 mm
mm
49
175
196
Intro
Done
Answers
For anyone here who comes from edge.
Consider the reduction of the complex figure with a scale factor of 1 /7 . What is the area of the reduced figure?
The answer is A ; 25 mm2. I got it right on edge
Subtract 4x4 + 2x2 +5 from the sum of 2x4 – 4x² – 3 and 3x4 – 3x2 +9.
Answers
Answer:
10
Step-by-step explanation:
Based on this work, what is the solution to the system?
(-4, -4)
(0, 0)
no solution
infinitely many solutions
Answers
Answer:
no solution
Step-by-step explanation:
Based on the information provided, the solution to the system is (-4, -4). Option A is the correct answer.
In a system of equations, the solution represents the values of the variables that satisfy all the equations simultaneously. In this case, we are given the solution points (-4, -4) and (0, 0). Option A is the correct answer.
If the given points satisfy both equations in the system, then it is the solution to the system. By substituting the values of x and y from the given points into the equations, we can check if they hold true.
Let's assume the system of equations is represented as follows:
Equation 1: x + y = -8
Equation 2: 2x + 2y = -16
Substituting (-4, -4) into the equations:
Equation 1: -4 + (-4) = -8 (True)
Equation 2: 2(-4) + 2(-4) = -16 (True)
Since both equations are true for the point (-4, -4), it is the solution to the system. Therefore, the solution to the system is (-4, -4).
Learn more about Solution System here:
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The complete question is, "Based on this work, what is the solution to the system?
a. (-4, -4)
b. (0, 0)
c. no solution
d. infinitely many solutions"
I promise I WILL MARK YOU AS BRAINLIEST How many minutes is it before 12 noon if nine minutes ago it was twice as
many minutes past 10 am?
Answers
Answer:
120 - x - 9 past 10am
Step-by-step explanation:
Call “x” the number of minutes it is before 12 noon. Measure time in minutes from 10am, so that 12 noon is 2*60 = 120 minutes after 10 am. The current time is 120 - x after 10 am. Nine minutes ago it was 120 - x - 9 past 10am.
Answer:
The Answer is 120 - x - 9 past 10am
Step-by-step explanation:
Hope this helps. :,-)
Which inequality represents all values of x for which the product below is defined? √ x-4•√ x+1 a. x ≥ -1 b. x ≥ 4 c. x ≥ 0 d. x ≤ 4
Answers
The inequality that represents all x values is [tex]x \ge 4[/tex]
The expression is given as:
[tex]\sqrt{x - 4} \cdot \sqrt{x + 1}[/tex]
Set the radicands to >=0
[tex]x - 4 \ge 0[/tex] or [tex]x + 1 \ge 0[/tex]
Solve for x in both inequalities
[tex]x \ge 4[/tex] or [tex]x \ge -1[/tex]
When [tex]x \ge -1[/tex], the first radicand is irrational from some x values
Hence, the inequality that represents all x values is [tex]x \ge 4[/tex]
Read more about inequalities at:
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LAT QUESTION AND LAST TRY!!! WILL GIVE BRANLIEST!!!! AT LEAST TAKE A LOOK, SHARE YO SMARTNESSS!!!!!!!! PLS
13. Which is not a pair of congruent sides in the diagram below?
A) KJ AND JH
B) EF AND JH
C) KJ AND FG
D) EK AND GH
Answers
Answer:
A) KJ AND JH
Step-by-step explanation:
EF = JH The three lines indicate they are equal
EK = GH The one line indicates they are equal
KJ = FG The two lines indicates they are equal
Answer:
A) KJ and JH
Step-by-step explanation:
KJ has 2 tally Mark's which differentiate from the number of 3 tally marks that JH hasKJ is congruent to EG JH is congruent to EF(If the number of tally's are different that means that they are not the same length = not congruent)B - EF and JH both have 3 tally marks therefore indicating it is correct and they are equalC - KJ and FG both have 2 tally marks therfore indicating it is correct and they are equalD - EK and GH both have 1 tally mark therefore indicating it is correct and they are both equal7. A box of facial tissue is 22 cm by 10.5 cm by 8 cm.
How much cardboard is on the outside surface?
(Pls!! show work)
Answers
Answer:
632.2 cm^2
Step-by-step explanation:
for this, you have to find the surface area:
area of side x 2: 22x10.5x2 = 46.2cm^2
area of top and bottom: 22 x 8 x 2 = 418 cm^2
area of front + back = 8 x 10.5 x 2 = 168 cm^2
sum = surface area = 632.2 cm^2
Please mark brainiest
A circle fits in a square with sides of 12 inches what is the appt area of the shaded region. Between the square and circle using 3.14 and round to nearest whole number
Answers
Answer:
144-36π sq. in.
Step-by-step explanation:
Which expression is equivalent to 100 n^2 -1?
a) (10n)^2 -(1)^2
b) (10n^2)^2 -(1)^2
c) (50n)^2 -(1)^2
d) (50n^2)^2 -(1)^2
Answers
Answer:
a
Step-by-step explanation:
100n^2 = (10n^2)
-1 = -(1^2)
Answer:
So we can ignore the endings because they all have to same endings. We know that 10^2 = 100 We see only 2 answers that have that a and b. But we also need to get the n to the power. So we power each number in the parenthesis by 2. Only A lets you power both 10 and n at the same time.
Answer : AJohn goes to a restaurant and has a bill of $ 32. 57. He uses a 10% off coupon on the cost of his meal. The tax is 8%. He leaves a tip of 18% on the amount before the coupon or tax is applied. How much does he spend?
Answers
Answer: $36.97
Step-by-step explanation:
The cost of the meal was $32.57 and he used a 10% off coupon. You can make 10% equal to 0.1 because [tex]\frac{10}{100}=0.1[/tex]. Now do [tex]0.1 *32.57=$3.26[/tex]. This is the discount, so you want to subtract this from the original to get the actual price of the meal, [tex]32.57-3.26=29.31dollars[/tex].
The tax was 8% so this means he is adding it to his total cost instead of subtracting it. Do 0.08 of $29.31 to get $2.34. Add $2.34 to the now $29.31 to get $31.69.
The tip is also adding to the total cost, so do 0.18 of $29.31 to get $5.28. Add $5.28 to $31.69 to get $36.97
Answer:
$37.51
Step-by-step explanation:
Original cost of meal is $32.57.
Since he has a coupon for 10% off, he pays for 90% of the cost of the meal.
90% of $32.57 = 0.9 * $32.57 = $29.31
Now he pays tax on the new discounted total. Let the new total be called 100%. Since he pays 8% tax, he needs to pay 108% of the new total.
108% of $29.31 = 1.08 * $29.31 = $31.65
He adds a tip of 18% of $32.57.
The tip amount is
18% of $32.57 = 0.18 * $32.57 = $5.86
The total is: $31.65 + $5.86 = $37.51
what is (13X + 9k)+(17x +6k), simplified?
Answers
Answer:
(45x)
Step-by-step explanation:
(13x+9x) + (17x+6x)
(22x) + (23x)
(45x)
// have a great day //
Put the following temperatures in order from least to greatest (1 is the least and 5 is the greatest):
Group of answer choices
The temperature was 25 degrees below zero
The pool temperature was 78 degrees
Water freezes at 32 degrees
The low temperature in December is -3 degrees
The temperature in the refrigerator was 34 degrees.
Answers
Answer:
25 degrees below zero, -3, 32, 34, 78
Kate has a $75 gift card to a coffee shop. Each Friday, she purchases a latte for $5. She created a graph to represent the amount of money on her gift card each week. Does Kate's graph represent the situation? Why or why not? A. No, because the amount of money on her gift card should increase each week. B. Yes, because she starts with $5 on her gift card. C. No, because the graph should start at the origin D. Yes, because the amount of money on her gift card should decrease each week.
Answers
Answer:
D. Yes, because the amount of money on her gift card should decrease each week.
Step-by-step explanation:
The amount of money on the gift card decreases every Friday as it states in the problem.
Yes Kate's graph represent the situation, because the amount of money on her gift card should decrease each week. so option D is correct.
What is Graph?A graph contains data of which input maps to which output.
Analysis of this leads to the relations which were used to make it.
For example, if the graph of a function is rising upwards after a certain value of x, then the function must be having increasingly output for inputs greater than that value of x.
We can see that the graph shows that the slope is decreasing, if you got $75 and spend $5.00 each Friday, wouldn't that be decrease and Lastly, of course, they should not start at the origin as they started at $75.00.
The amount of money on the gift card decreases every Friday as it states in the given situation.
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Justin Lowery is buying a condominium that sells for $ 120 comma 000. The bank is requiring a minimum down payment of 10%. To obtain a 20-year mortgage at 8.5% interest, Justin must pay 1 point(s) at the time of closing. What is the cost of the 1 point(s) on the mortgage?
Answers
Answer:
$10.25
Step-by-step explanation:
95/.1=9.5
9.5*9=85.5
85.5/8
=10.25
Find the number missing from the following equivalent fractions: 12/16= 3/?
Answers
Answer:
4
Step-by-step explanation:
Whatever you multiply or divide to the numerator, you do to he denominator.
Here, 12 was divided by 4 to obtain 3 in the other fraction. So, the missing number has to be 16 divided by 4, which gives 4
Answer:
[tex]\frac{3}{4}[/tex]
Step-by-step explanation:
In this question we are presented with [tex]\frac{12}{16}[/tex] and we want to simplify to have a numerator of 3. When simplifying fractions it's important to do the operation on both the numerator and the denominator so,
[tex]\frac{12}{16}[/tex] → Half the numerator and the denominator → [tex]\frac{6}{8}[/tex] → Half the numerator and the denominator again → [tex]\frac{3}{4}[/tex]
1 Point
Which of the following is a disadvantage of speaking your ideas rather than
writing them?
O
A. You are not able to express your emotions as easily.
B. You will not be able to correct spelling errors.
C. You cannot be casual and spontaneous when speaking,
D. You cannot plan ahead and organize your thoughts.
SUBMIT
Answers
Answer:
D.
Step-by-step explanation:
You cannot plan your thoughts if you are just thinking out loud.
You cannot plan ahead and organize your thoughts.
Linear or non linear
Answers
Answer:
linear
Step-by-step explanation:
Answer:
Linear
Step-by-step explanation:
It has mathematical proportion
7 elementary classes will be chosen to participate in a school lunch survey. There are 21 elementary classes in the school. In how many
ways can the classes be chosen?
Keypad
Answer
How to enter your answer
Answers
Answer:
( About ) 1.01371e + 16 ways
Step-by-step explanation:
You have 21 choices for the first student chosen, 20 choices for the next, then 19, then 18. However, this over-counts everything by a factor of 7! (the number of ways in which four objects can be arranged with regard to order).
Thus, take a look at the procedure below;
[tex]21! / 7! =\\21 * 20 * 19 * 18 * 17 * 16 etc. / 7 * 6 * 5 * 4 * 3 * 2 * 1 =\\( About ) 1.01371e+16[/tex]
This is an approximate answer mind you, so I hope that still helps!
the measure of angle 1 is twice the measure of angle 2, and angle 1 and angle 2 are linear pair. Find the measure of angle 1.
Answers
Answer:
m<1=120
Step-by-step explanation:
A linear pair adds up to 180 degrees.
So <1+<2=180
Let <2=X, that would make <1=2X because <1 is 2 times more.
So substitute that into the equation.
2x+x=180.
Combine like terms and get 3x=180
Divide both sides by 3 and get x=60.
Substitute that into <1 and get <1=120
can someone help me pls !!
Answers
Answer:
you're on a computer, you can literally just look up the answer.
Step-by-step explanation:
What is the following product? Assume x greater-than-or-equal-to 0 and y greater-than-or-equal-to 0
StartRoot 5 x Superscript 8 Baseline y squared EndRoot times StartRoot 10 x cubed EndRoot times StartRoot 12 y EndRoot
3 x Superscript 5 Baseline y StartRoot 3 x y EndRoot
10 x Superscript 5 Baseline y StartRoot 6 x y EndRoot
3 x cubed y StartRoot 3 x squared y squared EndRoot
10 x cubed y StartRoot 6 x squared y squared EndRoot
Answers
[tex]answer \\ = 10 {x}^{5} y \sqrt{6xy} \\ please \: see \: the \: attached \: picture \: for \\ full \: solution \\ hope \: it \: helps[/tex]
The product of the given expression is;
B: 10x^(5) • y√(6xy)
Laws of ExponentsWe are given the expression;
√(5x^(8) • y²) × √(10x³) × √(12y)
Now, according to laws of exponents, we know that; √(a⁴) × √(b³) = √(a⁴ × b³)
Thus, our given expression will be;
√(5x^(8) • y²) × √(10x³) × √(12y) = √[(5x^(8) • y²) × (10x³) × (12y)]
Collecting like terms, we will have;√[(5x^(8) × 10x³) × (y² × 12y)]
This now gives;√(50x¹¹ × 12y³)
>> √(600x¹¹y³)
Now, further break down of this gives;
10x^(5) • y√(6xy)
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(WILL MARK BRAINLIEST FOR THE FIRST TO ANSWER) The square of a number is equal to two less than three times the number. What are two possible values of the number?
A. 1,2
B. -1,2
C. 1,-2
D. -1,-2
E. 2,3
Answers
Answer:
Option A
Step-by-step explanation:
Let us take this number as x, translating this description of the equation into mathematical language;
[tex]x^2 = 3x - 2[/tex]
Now let us solve for x;
[tex]x^2 = 3x - 2,\\x^2+2=3x-2+2,\\x^2+2=3x,\\x^2+2-3x=3x-3x,\\x^2-3x+2=0,\\\\Factored = \left(x-1\right)\left(x-2\right)=0,\\Zero Factor Principle, \\x = 1, x = 2\\\\Solution - Option A[/tex]
What are the two main methods for solving a system of equations?
Answers
Answer:
substitution, and 2) elimination
Step-by-step explanation:
Step-by-step explanation:
elimination
substitution
