Answers
9514 1404 393
Answer:
∠E = ∠A = 34°; ∠AFB = ∠DFE = 107°-34° = 73°
Step-by-step explanation:
Here's where I'd go next.
73° (∠EDA) is exterior to ΔDAC, so is the sum of remote interior angles A and C. That is, ...
∠C + ∠A = 73°
∠C = 73° -∠A = 73° -39° = 34°
Triangle CBE is given as isosceles, so its base angles C and E are congruent, both 34°.
Exterior angle CDF is the sum of remote interior angles DEF and DFE, so we have ...
107° = 34° +∠DFE
∠DFE = 107° -34° = 73°
The angle we just found (∠DFE) is a vertical angle with ∠AFB, so has the same measure.
∠AFB = 73° . . . . vertical angle with ∠DFE
_____
In summary, it looks like we have added some steps to the derivation:
4. ∠A = 34° . . . . exterior angle theorem (∠A +39° = 73°)
5. ∠E = ∠A = 34° . . . . definition of isosceles triangle
6. ∠DFE = 73° . . . . exterior angle theorem (∠E +34° = 107°)
7. ∠AFB = 73° . . . . vertical angles
_____
Additional comment
Any sort of math problem solving has you work from what you know to what you need to know by making use of previously learned relationships between the bits of information you have. Here, you really only need to know (a) angles of a linear pair total 180°; (b) angles in a triangle total 180°; (c) angles opposite congruent sides in a triangle are congruent. Everything we claim above can be concluded using these facts. The various theorems we used are simply shortcuts that allow you to bypass intermediate steps in the problem-solving process.
Related Questions
C=5/9(F−32)
The equation above shows how temperature F, measured in degrees Fahrenheit, relates to a temperature C, measured in degrees Celsius. Based on the equation, which of the following must be true?
1. A temperature increase of 1 degree Fahrenheit is equivalent to a temperature increase of 5/9 degree Celsius.
2. A temperature increase of 1 degree Celsius is equivalent to a temperature increase of 1.8 degrees Fahrenheit.
3. A temperature increase of 5/9 degree Fahrenheit is equivalent to a temperature increase of 1 degree Celsius.
A) I only
B) II only
C) III only
D) I and II only
Answers
Answer:
D) I and II only
Step-by-step explanation:
A car is traveling at a steady speed. It travels 2 1/2 miles on 3 1/3 minutes. How will it travel in 43 minutes? 1 hour?
Answers
Answer:
32.25 miles in 43mins
45miles in an hour
Step-by-step explanation:
Divide '2 1/2' by '3 1/3' to find the distance done in a minute: 0.75 miles
Multiply the distance done in a minute(0.75) by 43 to find the distance done in 43 minutes: 32.25miles
Multiply the distance done in a minute(0.75) by 60 to find the distance done in an hour: 45miles
John's goal is to have more than -7−7minus, 7 dollars in his bank account by the end of the month. The variable ddd is the number of dollars in John's bank account at the end of the month
Answers
Answer:
tricky picky question pal,
Step-by-step explanation:
What are the awnswes
Answer:
d > -7.
Step-by-step explanation:
PLEASE HELP! <3
What is the slope of the line?
Answers
Answer:
0
Step-by-step explanation:
The slope formula is (change in y)/(change in x)
since the numerator (change in y) is 0, the slope will be 0
How long is the rectangle? *
A rectangle is 5cm longer than it is wide.
The perimeter of the rectangle is 86cm.
How long is the rectangle?
Answers
Solution
here, length= 5cm
breath= ?
Perimeter= 86 cm
By the question,
Perimeter (P) = l×b = 86 cm
or, 5cm × b= 86 cm
or, b = 86÷ 5
or, b= 17.2 cm
PLEASE FAST SHOW YOUR WORK AND GIVE ANSWER FOR BRAINLIEST AND 15 POINTS
what is the value of 4(2f-3d)+2(2d+e)
Answers
Answer:
8f - 8d + 2e
Step-by-step explanation:
8f-12d+4d+2e = 8f - 8d + 2e
Answer:
−8d+8f+5.436564
Step-by-step explanation:
Let's simplify step-by-step.
4(2f−3d)+2(2d+2.718282)
Distribute:
=(4)(2f)+(4)(−3d)+(2)(2d)+(2)(2.718282)
=8f+−12d+4d+5.436564
Combine Like Terms:
=8f+−12d+4d+5.436564
=(−12d+4d)+(8f)+(5.436564)
=−8d+8f+5.436564
Answer:
=−8d+8f+5.436564
[tex]8 \sqrt{72} [/tex]
how to solve ??
Answers
Answer:
[tex]8 \sqrt{72} = 8 \sqrt{3 \times 3 \times 2 \times 2 \times 2} \\ = 8 \times 3 \times 2 \times \sqrt{2} = 48 \sqrt{2} [/tex]
48√2 is the right answer.Line p intersects line a and b. a b. By which theorem is a1 ≈ a8
PLEASE HELP!!
Answers
Answer:
option a
Step-by-step explanation:
alternate exterior angle theorem
I need help immediately!!
Answers
Which equals
F(4)=21
Answer:
f (4) = 21
Step-by-step explanation:
the given equation is f (x) = 4x + 5
putting the value of x = 4
we get, f (4) = (4×4) + 5
f (4) = 16 + 5
f (4) = 21
i hope u got it
Find the slope and y-intercept of 5x – y = 7. Reduce all fractions.
slope = - Ô =
y-intercept =
B
Answers
Answer:
slope= ( 5,1 ) Y-intercept= ( 0,-7 )
Step-by-step explanation:
give the answer of this question by using prime factorization in exponential form 486×768
Answers
Answer:
its 373248
Step-by-step explanation:
I got this by 2squared 9 and 3squared 6
2 1/4w =6 3/4 answers pls hurry
Answers
Answer:
3
Step-by-step explanation:
3 * 2 1/4 = 6 3/4
Solve for the variable.
6x-5=12
Answers
Answer:
6x-5=12 +5
6x=17 :6
x=2.8333333333
Step-by-step explanation:
prove me wrong
Someone please help me with this I really don’t know how to do this.
Answers
Answer:
Slope of the graph is steeper.
The answer is: [tex]\mathbf{Slope=\frac{1}{3}}[/tex]
Step-by-step explanation:
First we will find slope of the graph.
The formula used to find slope is: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
We need to find two points from the graph to find the slope.
Let we take point 1 (-2,1) and point 2 (1,2)
We will have: [tex]x_1=-2, y_1=1, x_2=1, y_2=2[/tex]
Now finding slope of the graph
[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{2-1}{1-(-2)} \\Slope=\frac{2-1}{1+2}\\Slope=\frac{1}{3}[/tex]
So, slope of the graph is: [tex]\mathbf{Slope=\frac{1}{3}}[/tex]
Now, we will find slope of Linear function.
It has x-intercept of 1 and y-intercept of -2
x-intercept means y=0
So, the point will be: (1,0)
y-intercept means x=0
So, the point will be: (0,-2)
We will have: [tex]x_1=1, y_1=0, x_2=0, y_2=-2[/tex]
Putting values and finding slope
[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{-2-0}{0-(1)} \\Slope=\frac{-2-0}{0+1}\\Slope=\frac{-2}{1}\\Slope=-2[/tex]
So, the slope of linear function is: [tex]\mathbf{Slope=-2}[/tex]
Now, we need to find which of the slope is steeper.
The larger the value of slope, more steeper it is:
Now, comparing the slopes:
The slope of the graph is: [tex]\mathbf{Slope=\frac{1}{3}}[/tex]
The slope of linear function is: [tex]\mathbf{Slope=-2}[/tex]
We know that, [tex]\frac{1}{3}>-2[/tex]
So, Slope of the graph is steeper.
The answer is: [tex]\mathbf{Slope=\frac{1}{3}}[/tex]
Lauren has a bag containing 6 red, 8 blue, 5 green, 9 yellow, and 2 white marbles that are all the same size and shape. What is the probability or randomly choosing a white marble on the first pick, not replacing it, and then randomly choosing a green marble on the second pick?
Answers
Answer:
can someone give us the answer if its independent or dependent
Step-by-step explanation:
What is the ratio of boys to girls in Mrs. Carlton's class, which has a total of 31 students, 14 of whom are girls?
Answers
Answer:
17:14 or 17 to 14
Step-by-step explanation:
since you know there are 14 girls, subtract 14 from 31 and then you'll get 17. since its asking for a ratio of boys to girls not girls to boys, you put boys first, then girls. so your answer will be 17:14
Jayden and Jacques went to the park to play. They were gone for an hour and fifteen minutes. They ot home at 12: 30 pm. What time did they leave for the park?
Answers
Answer:
11 : 15 am
Step-by-step explanation:
one hour before 12:30 pm is 11:30 am
15 minutes before 11:30 am is 11:15 am
Answer:
11:15
Step-by-step explanation:
To solve this question we basically have to subtract 1 hour and 15 minutes from 12:30.
1230
- 0115
-------------
11:15 a.m.
So the answer would be they left for the park at 11:15 a.m.
In conclusion, Jayden and Jacques left for the park at 11.15 a.m.
plz give me brainliest :)
2. This graph shows the solution for which inequality below?
10 20 30 40 50 60 70
80 90 100
A. = 25
B. 3x < 150
c x<10
D. 2x > 100
2
(A) A
в) В
( c) С
D
Answers
Answer:
the aswer would be B because x<50 therefor the highst posible value for x is 49 and 3x49 is 147 which is less than 150
5.) 3x^2 - 13x + 4 = 0
Answers
Answer:
Answer:
x= 1/3 or x=4
Step-by-step explanation:
Let's solve your equation step-by-step.
3x2−13x+4=0
Step 1: Factor left side of equation.
(3x−1)(x−4)=0
Step 2: Set factors equal to 0.
3x−1=0 or x−4=0
x= 1/3or x=4
plz give brainlyest
Johnathan's salary for a four-week period was $7,396.00. What is the weekly salary?
Answers
Answer:
$1,849
Step-by-step explanation:
7,396/4=1,849
Help pls thank you !!
Answers
Answer:
B is correct 4⁷ is the final answer
At the start of the experiment substance is measured to be 90°C, and by the end of the experiment its temperature is measured as -50°C. How does the temperature change from the start to the end of the experiment? Represent a decrease in temperature with a negative number.
Answers
Answer:
-140C
Step-by-step explanation:
∆T = T2-T1
∆T = -50-90= -140C
I need help with this
Answers
Explanation:
Triangle to the left, you do 5(6) and get 30, but since it's a triangle, you divide by 2 and get 15. Middle rectangle, 6(8) is 48. Right triangle, 3(6) is 18, 18/2 is 9. Add them all up 15+48+9 and you get 72. Hope this helped!
A submarine rises to the ocean's surface at 720 feet in 6 minutes. Find the points submarine's change in elevation per minute.
Answers
Answer:
The submarine gains 120 feet of elevation per minute.
Step-by-step explanation:
Pls pls help I don’t have time HELP ASAP. It also detects if it’s right or wrong.
Answers
Answer:
70 i am 100 percent sure
Step-by-step explanation:
1:10
7 70
George has 52 coins in quarters and nickels. He has a total of $3.60. How many quarters does he have?
Answers
there are 36 quarters.
Let the number of nickels be x
Let the number of quarters be y
Value Value
Type Number of of
of of EACH ALL
coin coins coin coins
-------------------------------------------
nickels x $0.05 $0.05x
quarters y $0.25 $0.25y
-------------------------------------------
TOTALS 52 ----- $3.60
The first equation comes from the second column.
x + y = 11
The second equation comes from the last column.
0.05x + 0.25y = 3.60
Get rid of decimals by multiplying every term by 100:
5x + 25y = 360
So we have the system of equations:
x+y=52
5x+25y=360
We solve by substitution. Solve the first equation for y:
x + y = 52
y = 52 - x
Substitute (52 - x) for y in 5x + 25y = 360
5x + 25(52 - x) = 360
5x + 1300 - 25x = 360
-20x + 1300 = 360
-20x = -940
x = = 5 the number of nickels.
Substitute in y = 52 - x
y = 52 - (5
y = 47 quarters.
The number of quarters is 52-x or 52-5 or 47 quarters.
plzzzzzzzzzzzzzzzzzzz
Answers
Answer:
70x
Step-by-step explanation:
8x8 = 64x then +6x = 70x
Answer:
[tex]2x(4x+3)[/tex]
Step-by-step explanation:
The first thing to factorising this expression is to find the greatest common factor (GCF). For 8x² and 6x the gcf is 2x. So now we divide the 8x² and 6x by the 2x. Which comes out to 4x and 3, these will be inside the parentheses.
So it'll factorise to [tex]2x(4x+3)[/tex] and remember when we are dividing with exponents we subtract the exponents. So [tex]\frac{8x^2}{2x}[/tex] we will divide the coefficients together that'll be 4 and now for the exponents the 2 on the x² minus the 1 on the x will equal 1 so it'll be just x we don't place a one or anything.
7x-(3x+5)-8 = (1/2)*(8x+20) -7x +5
and
5(3x+4) -2x = 7x -3(-2x+11)
Answers
Answer:
For the first problem the answer is x=4
The second Problem the answer is no solutions
Step-by-step explanation:
7x−(3x+5)−8=1/2 (8x+20)−7x+5
7x+−3x+−5+−8=1/2(8x) +(1/2) (20)+−7x+5(Distribute)
7x+−3x+−5+−8=4x+10+−7x+5
(7x+−3x)+(−5+−8)=(4x+−7x)+(10+5)(Combine Like Terms)
4x+−13=−3x+15
4x−13=−3x+15
Step 2: Add 3x to both sides.
4x−13+3x=−3x+15+3x
7x−13=15
Add 13 to both sides.
7x−13+13=15+13
7x=28 Divide both sides by 7.
x=4
5(3x+4) -2x = 7x -3(-2x+11)
Simplify both sides of the equation.
5(3x+4)−2x=7x−3(−2x+11)
(5)(3x)+(5)(4)+−2x=7x+(−3)(−2x)+(−3)(11)(Distribute)
15x+20+−2x=7x+6x+−33
(15x+−2x)+(20)=(7x+6x)+(−33)(Combine Like Terms)
13x+20=13x+−33
13x+20=13x−33
Subtract 13x from both sides.
13x+20−13x=13x−33−13x
20=−33
Step 3: Subtract 20 from both sides.
20−20=−33−20
0=−53
There are no solutions.
Answer:
Step-by-step explanation:
7x-(3x+5)-8 = (1/2)*(8x+20) -7x +5
1. Distributive Property
7x - 3x - 5 - 8 = 4x + 20 - 7x + 5
2. Combine like terms
4x -13 = -3x + 25
3. Add 13 on both sides
4x -13 + 13 = -3x + 25 + 13
4x = -3x + 38
4. Add 3x on both sides
4x + 3x = -3x + 3x + 38
7x = 38
5. Divide by 7 on both sides
7x / 7= 38 / 7
x = 5.428571428571429
or
x = 5.4
__________________________________________________________
5(3x+4) -2x = 7x -3(-2x+11)
1. Distributive Property
15x + 20 - 2x = 7x + 6x - 33
2. Combine like terms
13x + 20 = 13x - 33
3. Subtract 20 on both sides
13x + 20 - 20 = 13x - 33 - 20
13x = 13x - 53
4. Subtract 13x on both sides
13x - 13x = 13x - 13x - 53
0 = -53 ( there is no answer for x)
Hope this helped!!!!
I’ll give you BRAINLEST PLEASE HELP
Answers
Answer:
Help with what?
Step-by-step explanation:
Solve log2x = log53 + 1 by graphing. Round to the nearest tenth.
What does X equal?
Answers
Answer:
3.2 plz help me to
Step-by-step explanation:
Answer:
3.2
Step-by-step explanation: