Step-by-step explanation:
To find x,equate EF to BC
2y+x=14( from here,it's impossible to calculate the values yet)
Find the value of ‹ACB
180°-(99+45)=36°
Now equate ‹DFE to 36° to find y
8y-5=36
8y=36+5
8y=41
y=5.125
Plug in the value of y to find x
2y+x=14
x=14-2y
x=14-2(5.125)
x=3.75
9514 1404 393
Answer:
x = -12
y = 13
FE = 14
m∠E = 36°
AB ≅ DF, BC ≅ FE, AC ≅ DE
∠D ≅ ∠A, ∠E ≅ ∠C, ∠F ≅ ∠B
Step-by-step explanation:
The expression involving y is that of an angle measure. In order to find y, we need to know the angle. So, it makes sense to start by identifying corresponding angles and their measures.
The congruence statement ΔABC ≅ ΔDFE means that ...
∠A ≅ ∠D . . . 45°
∠B ≅ ∠F . . . 99°
∠C ≅ ∠E . . . 180° -99° -45° = 36°
It also means ...
AB ≅ DF . . . 10
BC ≅ FE . . . 14
AC ≅ DE . . . unmarked (and unknown*)
__
Using the measure of angle F we can solve for y:
(8y -5)° = 99°
8y = 104 . . . . . . divide by ° and add 5
y = 13 . . . . . . . . divide by 8
Using the length of side FE, we can solve for x:
2y +x = 14
2·13 +x = 14 . . . . substitute for y
x = 14 -26 . . . . . .subtract 26
x = -12
_____
* The length of the unmarked side is unknown because its measure will depend on how you compute it. The given angles and side lengths are inconsistent, so the figure shown cannot exist. If angle measures are taken as accurate, the side measures are not, and vice versa.
PLEASE HELP FAST AS A MIXED RADICAL READ IT CARFULLY BRAINLIST!
Answer:
[tex]2\sqrt[3]{2}[/tex]
Step-by-step explanation:
This is equal to [tex]\sqrt[3]{8} * \sqrt[3]{2} = 2\sqrt[3]{2}[/tex]
Write this fraction in an equation using words: 2/3
Answer:
two-thirds plus five=five and two-thirds
Step-by-step explanation:
Select the two correct factors of the polynomial:
Answer:
(x + 6)
(x - 7)
Step-by-step explanation:
To factor the polynomial in form [tex]x^{2} +bx+c[/tex] find two factors of C that have a sum of B
B = -1
C = -42
Factors of 42:
1, 2, 3, 6, 7, 14, 21, 42
6 and -7 multiply to -42 and add to -1
Write in factored form:
(x + 6)(x - 7)
Answer:
(x - 7)(x + 6)
Step-by-step explanation:
Given
x² - x - 42
Consider the factors of the constant term (- 42) which sum to give the coefficient of the x- term (- 1)
The factors are - 7 and + 6 , since
- 7 × 6 = - 42 and - 7 + 6 = - 1 , thus
x² - x - 42 = (x - 7)(x + 6)
What is the equation of the line through (2,-4) and (0,4)?
Answer:
y = -1/4x + 4
Step-by-step explanation:
y2-y1/x2-x1
derivative of (a^x/Log a)?
[tex]\sf{\dfrac{a^x}{log(a)} }[/tex]
(OR)[tex]\sf{\dfrac{a^x}{ln(a)} }[/tex]
[tex]\large\bold{\underline{\underline{Solution:-}}}[/tex][tex]\sf{Let\ y=\dfrac{a^x}{ln(a)} }[/tex]
[tex]\sf{=\dfrac{d}{dx}\bigg[\dfrac{a^x}{ln(a)} \bigg] }[/tex]
(Linear differentiation)[tex]\sf{=\dfrac{1}{ln(a)}.\dfrac{d}{dx}(a^x) }[/tex]
[tex]\sf{=\dfrac{ln(a)a^x}{ln(a)} }[/tex]
[tex]\boxed{\sf{=a^x}}[/tex]
[tex]\large\bold{\underline{\underline{Applied:-}}}[/tex]✭ Linear differentiation→ [tex]\sf{[a.b(x)+c.d(x)]'=a.b'(x)+c.d'(x)}[/tex]
✭ Exponential function rule
→ [tex]\sf{(a^x)'=ln(a).a^x}[/tex]
Answer:
a^x.
Step-by-step explanation:
y = a^x / log a
Assuming the log is to the base e:
y = (1/ log a) * a^x
Derivative of a^x:
Let u = a^x
log u = log a^x
log u = x log a
1/u * du/dx = log a
du/dx = = u * log a
y = (1 / log a) * u
so dy/du = 1/log a
and dy/dx = dy/du * du/dx
= (1/log a )* log a u
= u
= a^x.
Use the equation to answer the question.
125 = 25 x 5
Which statement does the equation represent?
O A. 25 is 5 more than 125
B. 25 is 5 times as many as 125
C. 125 is 25 more than 5
D. 125 is 25 times as many as 5
Answer:
its either A/B
Step-by-step explanation:
A poster of the detroit lions football players uses a scale of 4 inches= 3 feet. If quarterback Matthew stafford is 8 1/2 inches tall on the poster, find his actual height.
Answer:
The actual height = 6.38 feet
Step-by-step explanation:
Given that a poster of the detroit lions football players uses a scale
of 4 inches = 3 feet
so
1 inch = 3/4 feetGiven that the poster's length:
[tex]8\frac{1}{2}=\frac{17}{2}=8.5[/tex] inch
We need to determine the actual height if quarterback Matthew Stafford is 8 1/2 inches tall on the poster.As 1 inch = 3/4 feetThus, we need to multiply 8.5 inches by 3/4 to determine the actual height of the player.
Actual height = 8.5 × 3/4 feet
= 6.38 feet
Therefore, the actual height = 6.38 feet
A survey of 2380 golfers showed that 366 of them are left-handed. Find a point estimate for p, the population proportion of golfers that are left-handed.
Answer:
The point estimate is 366/2380
Step-by-step explanation:
Here. we want to find a point estimate for the number of golfers that are left-handed
To get this, we simply divide the number of left-handed golfers by the number of golfers surveyed
Mathematically, this will be 366/2380
The value of a new car decreases by about 15% in the first year. How much will a car be worth after one year if its initial value was $1,500? If you get stuck, consider using diagrams or a table to organize your work.
Answer:
After one year, the car will be worth $1,275.
Step-by-step explanation:
We know that a new car value decreases by 15% every year. So, we first need to find 15% of $1,500.
1,500 x 0.15 = $225.
Now, me must subtract $225 from the initial value, or $1,500.
1,500 - 225 = $1,275
Therefore, after one year, the car will be worth $1,275.
Hope this helps! :D
Select all simplified expressions of 3^4 divided by 3^9
The large rectangle below represents one whole.
A large rectangle with 25 equal sections, 11 of which are shaded
What percent is represented by the shaded area?
44%
I hope this helped!!!
Answer:
ummmmmmmmm 44?
Step-by-step explanation:
What is the solution to m/-7<_ 14
Answer:
-98
Step-by-step explanation:
simplify both sides
Heyy I need help with these two questions for math before he emails my mom saying i didnt do my work bc my brain isnt working properly rn
Answer:
4 pieces and B
Step-by-step explanation:
Answer: The answer to the first one is probably 8.
Step-by-step explanation:
I just read the problem and saw it as a division problem. I then divided 4/6 by 1/12. I ended up with 8, if this is wrong i'm incredibly sorry.
I NEED HELP FAST! I WILL MARK BRAINLIEST!
I am building a wall for a house. The wall is shaped like a right triangle. Leg A is 22ft and leg B is 25ft. What is the length of the hypotenuse?
Answer:
the answer is 33 or 33.302
Step-by-step explanation:
hope this helps :)
Answer:
33.3
Step-by-step explanation:
a²+b²=c²
22²+25²=c²
484+625= 1109
√1109= 33.3
hope that's right,your highness...Can someone help pls?
Answer:
Step-by-step explanation:
Let the original width be x
Then the original length = x + 11
Area = x * (x + 11)
If you decrease each side by 7 you get
Area 1 = (x - 7)(x + 4)
So area - area1 =
x (x + 11) -98 = (x - 7)(x + 4) Remove the brackets
x^2 + 11x - 98 = x^2 - 7x + 4x - 28 Combine the like terms
x^2 + 11x - 98 = x^2 - 3x - 28 Add 98 to both sides
x^2 + 11x = x^2 - 3x + 70 Cancel the x^2
11x = -3x + 70 Add 3x to both sides
14x = 70 Divide by 14
x = 70 / 14
x = 5
=====================
Original conditions
Answer width = 5
Length = 16
If you check this, you will get totally bizarre answers. Don't check it. It gives negative results. You can do this in math, but not in the real world.
Given the set of test scores: 42, 72, 74, 78, 80, 80, 85, 88, 92. If the outlier is removed, which statement is true? Select all that apply.
Choose all that apply:
The standard deviation decreases.
The mean increases.
The median decreases.
The range increases.
Answer:
Standard deviation decreases and mean increases
Step-by-step explanation:
The test scores are:
42, 72, 74, 78, 80, 80, 85, 88, 92
Mean = (42 + 72 + 74 + 78 + 80 + 80 + 85 + 88 + 92)/9 = 76.77
Median is 5th term which is 80
Range is highest score - lowest score = 92 - 42 = 50
Standard deviation from an online calculator gives 13.69
Now,we want to know what happens to those values when the outlier is removed. The outlier in this case is 42 because it is not consistent with other scores which range from 72 - 92.
Thus,the new set of scores are;
72, 74, 78, 80, 80, 85, 88, 92
New Mean = (72 + 74 + 78 + 80 + 80 + 85 + 88 + 92)/8 = 81.125
New Median will be the average of the 4th and 5th term which is (80 + 80)/2 = 80
New Range = 92 - 72 = 20
New Standard deviation from an online calculator gives 6.39
From the comparison above when the outlier is removed, we can say that;
- Mean increases
- remains the same
- Range decreases
- standard deviation decreases
When flipping a coin, the probability of getting tails is 50% and heads 50%. What is the probability of getting heads
or tails?
50%
60%
75%
100%
Answer:
50%
Step-by-step explanation:
Most people assume the toss of a coin is always a 50/50 probability, with a 50 percent chance it lands on heads, and a 50 percent chance it lands on tails
Answer:
100%
Step-by-step explanation:
There is a 50% chance of getting heads, and 50% chance of getting tails.
If these two options are added together, you get 100%. There are only two options on a coin flip anyways, so the probability of getting heads or tails would be 100%.
If f(x)=−5x−8 and g(x)=2x+1, then what is (f∘g)(5.7)?
Answer:
(f*g)(5.7)= -452.6, hopefully that answers your question
I need a quick answer plss
Answer:
girl u didnt add the question...
Step-by-step explanation:
A group of friends went fishing. They each caught 20 fish but not all of them were keepers. Which person was able to keep 3/5 of the fish that he or she caught?
Answer:
Those who were able to keep 12 fishes
Step-by-step explanation:
Given
Total = 20 (each)
Required
Which was able to keep 3/5
First, we need to calculate 3/5 of the total number of fishes
Fish = 3/5 * 20
Fish = (3 * 20)/5
Fish = 60/5
Fish = 12
From the calculation above, only those who keep 12 of the 20 fishes were able to keep 3/5 of their fishes
A) Find the distance of line segment PR. Round answer to the nearest tenth. B) Find the distance around the park (perimeter).
Answer:
A. [tex] PR = 80.6 yd [/tex]
B. Perimeter = 190.6 yd
Step-by-step explanation:
A. Distance between P(10, 50) and R(80, 10):
[tex] PR = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
[tex] PR = \sqrt{(80 - 10)^2 + (10 - 50)^2} [/tex]
[tex] PR = \sqrt{(70)^2 + (-40)^2} [/tex]
[tex] PR = \sqrt{4,900 + 1,600} [/tex]
[tex] PR = \sqrt{6,500} [/tex]
[tex] PR = 80.6 yd [/tex] (nearest tenth)
B. Distance around the park = Perimeter = PR + PQ + QR
PR = 80.6 yd
PQ = |50 - 10| = 40 yd
QR = |80 - 10| = 70 yd
Perimeter = 80.6 + 40 + 70
Perimeter = 190.6 yd
function: f(x) = 2x + 1
It x = 0, what is the y output?
Answer:
1
Step-by-step explanation:
i think i helped successfully
Answer:
y= 1
Step-by-step explanation:
In the equation, the 1 means that it's the y-intercept
And whenever x is 0, then the y value is the y-intercept
So since x=0, then y=1
find x intercept if y=-5x+60
Answer:
-12 bla bla bla bla bla bla bla
Which situation below correctly represents the algebraic expression 10 + 4x?
A. Stephanie has ten dolls and Kristi has four times as many dolls as Stephanie.
B. To see a football game, you will pay ten dollars admission for adults and four dollars admission for children.
C. The theater charges ten dollars for admission and four dollars for each drink.
D. Jim woke up at ten o’clock and then ran long distance for four hours.
Answer:
Your Answer is C
Step-by-step explanation:
The theater charges ten dollars for admission and four dollars for each drink
Who has
✨ A n x i e t y ✨
Answer:
yupyup
Step-by-step explanation:
been having it for years now
A store had 5 packs of paper for $7.80. How much would it cost if you were to buy 3 packs
$1.56
$2.19
$7.80
$4.68
The line plot shows the number of hours students in Mrs. Timberlake’s class worked on a project. How many students are included in the data?
Answer:
15
Step-by-step explanation:
I got this answer because I just added up all the x's.
1=3
2=2
3=5
4=3
5=2
3+2= 5
5+5=10
10+3=13
13+2=15
suppose a+b=10 and the value of a increases by 1. If the sum remains the same, what must happen to the value of b?
Answer:
[tex]b[/tex] decreases by [tex]1[/tex]
Step-by-step explanation:
If the value of [tex]a[/tex] increases by [tex]1[/tex] and the sum remains the same, then the value of [tex]b[/tex] decreases by [tex]1[/tex].
Example:
Suppose [tex]a=7[/tex] and [tex]b=3[/tex].
[tex]a+b = 10[/tex]
[tex]b = 10-a[/tex] (minus [tex]a[/tex] on both sides)
Now, let [tex]a = 8[/tex] ([tex]a[/tex] has increased by [tex]1[/tex]):
[tex]b = 10-8[/tex]
[tex]=2[/tex]
From the comparison of the previous value of [tex]b[/tex] to the current value of [tex]b[/tex], the value of [tex]b[/tex] has decreased by [tex]1[/tex].
Hope this helps :)
I'd really appreciate your help, please no joke answers
Find the distance from (7, -4) to y+3x - 5
Procedure would be apreciated
Image attached and an explaination I don't fully understsand
Answer:
d= 2√10
Step-by-step explanation:
y= 3x - 5
3x - y - 5=0
d= | 3* 7 +(-1) * (-4) + (+5) |
________________
[tex]\sqrt{3^{2} } + (-1)^{2}[/tex]
d = | 20 | / [tex]\sqrt{10}[/tex]
d = 20 / [tex]\sqrt{10}[/tex]
d = 2[tex]\sqrt{10}[/tex]
A law firm is going to designate associates and partners to a big new case. The daily rate charged to the client for each associate is $800 and the daily rate for each partner is $1500. How much would the law firm charge the client daily if 9 associates and 4 partners were assigned to the case? How much would the law firm charge the client daily if aa associates and pp partners were assigned to the case?
Answer:
$8700
Step-by-step explanation:
Associates cost $800 each, you have 9 associates, so multiply 800 by 9 which gives you: $800x 9= $7200.
Partners cost $1500 each, you have 4 partners, so multiply 1500 by 4 which gives you: $1500x 4=$6000.
Then add the two together like this: $7200+$1500= $8700.
Answer:
The system 800x+1300y=12300 and y = x+3 can be used to determine the number of associate assigned to the case and the number of partners assigned to the case where x represent the number of associates and y represent the number of partners.
Step-by-step explanation:
Given,
Per day charge of each associate = $800
Per day charge of each partner = $1300
Total charged per day = $12300
Let,
x be the number of associates
y be the number of partners
According to given statement;
800x+1300y=12300 Eqn 1
y = x+3 Eqn 2
The system 800x+1300y=12300 and y = x+3 can be used to determine the number of associate assigned to the case and the number of partners assigned to the case where x represent the number of associates and y represent the number of partners.
Keywords: linear equation, addition
Step-by-step explanation: