Step-by-step explanation:
Σfx = 60+45a
Σf = 12+9a
Now
Mean =Σfx/Σf
= 60+45a/12+9a
=105/21 (a has been canceled)
=5
Therefore mean =5
in the figure below the measure of <1=5x°, the measure of <2=y°, and the measure of <3=85°. Find the value of each variable.
(for the first one <1=5x° I found out x=17 so I just need the rest if you can)
Answer:
y=95
Step-by-step explanation:
17x5=85
180-85=95
y=95
Each of the pairs of opposite angles made by two intersecting lines is called a pair of vertical angles. The value of x and y is 17 and 95, respectively.
What are vertical angles?Each of the pairs of opposite angles made by two intersecting lines is called a pair of vertical angles.
The measure of ∠1 and ∠3 will be equal since the two angles are vertical angles. Therefore, we can write.
∠1 = ∠3
5x° = 85°
x = 85° / 5
x = 17°
Also, the sum of measures ∠1 and ∠2 will be equal to 180°, this is because the two angles form a pair of linear angles. Therefore, we can write,
∠1 + ∠2 = 180°
5x + y = 180°
Substitute the value of x,
5(17°) + y = 180°
85° + y = 180°
y = 180° - 85°
y = 95°
Hence, the value of x and y is 17 and 95, respectively.
The complete question is mentioned below.
Learn more about Vertical Angles here:
https://brainly.com/question/24460838
#SPJ2
Help can someone help me on this question and explain it please ♡♡
Answer:
i can barley read the pencil work im really sorry.
Step-by-step explanation:
Triangle ABC is a right triangle. What is the length of AC?
Answer:
AC = [tex]\sqrt{58}[/tex]
Step-by-step explanation:
Calculate AC using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = A (0, - 2) and (x₂, y₂ ) = C (3, 5 )
AC = [tex]\sqrt{(3-0)^2+(5-(-2)})^2[/tex]
= [tex]\sqrt{3^2+(5+2)^2}[/tex]
= [tex]\sqrt{9+7^2}[/tex]
= [tex]\sqrt{9+49}[/tex]
= [tex]\sqrt{58}[/tex]
I need a little help .??!??????????????????????
(e) it is the last one........
PLEASE HELP THIS IS DUE TODAY :((
The picture is attached below
The question is
Given the piecewise function shown below select all of the statements that are true
A is true: 1 > 0, and f (1) = 1² - 1 = 0.
B is false: -2 < 0, so f (-2) = -(-2) + 1 = 3.
C is false: 4 > 0, and f (4) = 4² - 1 = 15.
D is true: -1 < 0, so f (-1) = -(-1) + 1 = 2.
i need a little bit of help.
Answer:
Top right corner.
Step-by-step explanation:
[tex]9.28+2x=18.14\\2x=8.86\\x=4.43[/tex]
Since x = 4.43, we want the point to be around halfway from 4 to 5 therefore the top right corner should be closest.
Which step in the construction of copying a line segment ensures that the new line segment has
the same length as the original line segment?
Answer:
The step two in the construction of copying a line segment ensures that the new line segment has the same length as the original line segment.
Step-by-step explanation:
The steps to copy a line segment:
1. Move the compass place to point P.
2. Change the span of the compass to the length of the first line portion (PQ).
3. Move the compass place to R.
4. Draw a bend that meets the line to one side of R.
Learn more about line segment, refer :
https://brainly.com/question/9716065
write .0015 in scientific notation please help
0.0015 in scientific notation
= 1.5 × 10-3
1.5×10^3
hope i helped!
Find an equation for the perpendicular bisector of the line segment whose endpoints are (-1,-7)(−1,−7) and (9,1)(9,1).
Answer:
y = -5/4 - 31/5
Step-by-step explanation:
A: (-1,-7) and B: (9,1)
Slope: (-7-1)/(-1-9) = -8/-10 = 4/5
Slope: 4/5. Point (9,1)
y-1 = 4/5 (x-9)
y-1 = 4/5x - 36/5
y = 4/5x - 36/5 + 1
y = 4/5x - 31/5
Perpendicular bisector = Y = - 5/4x - 31/5
Which of the following values are solutions to the inequality 5x – 10 < -5?
I. - 1
II. 9
III.1
None
I only
II only
III only
I and II
I and III
II and III
I, II and III
Answer:
-1
Step-by-step explanation:
Plug in all of the numbers for x. 1 is -5<-5 and -1 is -15<-5
simplify this exponential expression
[tex]( \frac{1}{3} )^{2} [/tex]
Answer:
Answer: 3^-2
Step-by-step explanation:
[tex]( \frac{1}{3} ) {}^{2} \\ \\ = \frac{ {1}^{2} }{ {3}^{2} } \\ \\ = {3}^{ - 2} [/tex]
Answer:
[tex]\frac{1}{9}[/tex]
Step-by-step explanation:
Evaluate the power
[tex]\frac{1^2}{3^2}[/tex]
Divide
[tex]\frac{1}{9}[/tex]
Jose originally had a rectangular rug with an area of 4.c? + 72 +3 square feet. He
decided to make a new rug that was smaller than his original rug. The area of the new rug
is 4x2
square feet
Which of the following expressions represents the difference between the area of his old
rug and the area of his new rug?
Answer:
7x + 3
Step-by-step explanation:
old - new =
(4x**2 + 7x + 3) - (4x**2) = 7x + 3
For his birthday, Torin got $25 more from his grandmother than from his cousin. His uncle
gave him $10 less than his cousin. Torin received $291 total. How much did he receive
from his cousin?
Answer:
$92
Step-by-step explanation:
from cousin: x
from grandmother: x + 25
from uncle: x - 10
sum: 291
3 divided by 45 I need help I stink at division
Answer:45 divided by 3 is 15
Step-by-step explanation:
Answer:
its 15
I'm bad at explaning
which number comes first when The numbers are listed from least to greatest a. 1/6 b. -1 c. 5 squared d. -7/2 e. 4.6
the answer is C. -1
Step-by-step explanation:
-1 is the smallest number
Can someone explain me how to do this
8) v = -3
9) m = 4
Explanation:
8)
[First distribute the factored terms on the left side of the equation]
2(v + 4) + 3(4v + 5) = -19 →
2(v) + 2(4) + 3(4v) + 3(5) = -19 →
2v + 8 + 12v + 15 = -19 →
[Next, add the like terms together]
(2v + 12v) + (8 + 15) = -19 →
14v + 23 = -19 →
[Subtract 23 from both sides to isolate the constant term]
14v + 23 – 23 = -19 – 23 →
14v = -42 →
[Lastly, divide both sides by 14 in order to obtain the value of v from the coefficient of 14 in 14v]
14v / 14 = -42 / 14 →
v = -3
9)
[Start by distributing the factored term on the left side of the equation]
2(m – 1) = 10 – m →
2m – 2 = 10 – m →
[Next, add m to both sides in order to isolate the m term and remove -m from the right side of the equation]
2m – 2 + m = 10 – m + m →
3m – 2 = 10 →
[Add 2 to both sides to isolate the constant term and remove -2 on the left side of the equation]
3m – 2 + 2 = 10 + 2 →
3m = 12 →
[Finally, divide by 3 on both sides in order to reduce the coefficient of 3 in 3m to get m]
3m / 3 = 12 / 3 →
m = 4
Jennifer is saving money to buy a bike. The bike costs $261. She has $107 saved, and each week she adds $14 to her savings.
How long will it take her to save enough money to buy the bike?
It will take her ____ weeks to save for the bike.
Answer:
It will take her 11 weeks to save for the bike
Step-by-step explanation:
261 -107 = 154
154 /14=11
Is -10/3 greater or less that the square root of -9
Step-by-step explanation:
The square root of -9 is greater than that
14 - 8 + 3 + 8 × [24 ÷ 8]
Answer:
33
Step-by-step explanation:
14 - 8 + 3 + 8 × [24 ÷ 8] =
14 - 8 + 3 + 8 × 3 =
14 - 8 + 3 + 24 =
6 + 3 + 24 =
9 + 24 =
33
Answer:
14-20×(24÷8)=-6×{3}=-18
what might of been the population of vermont in 2008???
The answer is 624,151
Sorry if I'm wrong
PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE HELP DECIMAL WORD PROBLEM INTO EQUATION
Answer:
136 miles
Step-by-step explanation:
Write an equation to represent the cost of the rental, and then solve the equation to find the number of miles.
Let x = number of miles.
The total cost is the cost per mile plus the base fee.
1 mile costs $0.90
2 miles cost $0.90 * 2
x miles cost $0.90 * x, or simply 0.9x
The base fee is $16.95, so the total to rent for x miles is 0.9x + 16.95
The equation
c = 0.9x + 16.95
gives you the cost, c, for a rental of x miles.
We are told the total cost was $139.35. Replace c with 139.35, and solve for x, the number of miles.
139.35 = 0.9x + 16.95
Switch sides.
0.9x + 16.95 = 139.35
Subtract 16.95 from both sides.
0.9x = 122.4
Divide both sides by 0.9
x = 122.4/0.9
x = 136
Answer: 136 miles
6k+9k<0
What is the answer
Answer:
I just want my points boi
1/7 x X =1
X x 1/11=1
1 divided by 1/5=
Answer:
x = 7x = 115Step-by-step explanation:
[tex] \frac{1}{7} \times x = 1[/tex]
[tex]7 \times \frac{1}{7} x = 7 \times 1[/tex]
[tex]7 \times \frac{1}{7} x = 7[/tex]
[tex]\boxed{\green{x = 7}}[/tex]
◇◇•◇◇
[tex]x \times \frac{1}{11} = 1[/tex]
[tex] \frac{1}{11} x = 1[/tex]
[tex]11 \times \frac{1}{11} x = 11 \times 1[/tex]
[tex]11 \times \frac{1}{11} x = 11[/tex]
[tex]\boxed{\green{x = 11}}[/tex]
♤♤•♤♤
[tex]1 \div \frac{1}{5} = 1 \times \frac{5}{1} [/tex]
[tex]1 \times 5[/tex]
[tex] \boxed{\green{= 5}}[/tex]
Solve for v in terms of s, t, and u.
S = U-t + V
V = what??
Answer:
[tex]v=s-u+t[/tex]
Step-by-step explanation:
Hi there!
[tex]s=u-t+v[/tex]
Our goal is to isolate v on one side of the equal sign.
Subtract u from both sides:
[tex]s-u=u-t+v-u\\s-u=-t+v[/tex]
Add t to both sides to isolate v:
[tex]s-u+t=-t+v+t\\s-u+t=v\\v=s-u+t[/tex]
I hope this helps!
Write and solve the equation to find the
value of x.
"The quotient of negative sixty and a
number x is four."
a) -60 * x = 4; x = 15
b) -60 / x = 4; x = -15
c) -60 * x = 4; x = -15
d) -60 / x = 4; x = 15
Answer:
C) -60/x = 4; x = -15Step-by-step explanation:
-60 / x = 4-60 ÷ 4 = -15x = -15Checking:-60/x = 4-60/(-15) = 4[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]
Help me with this please I’d appreciate it
The coordinates of Point [tex]D'[/tex] are [tex](42, 0)[/tex]
[tex]\text{Algebraic Representation: } (x,y) \to (7x,7y)[/tex]
R 3. The mean of 4 numbers is 8. Three of the numbers add up to 22. What is the last number?
let the last number be x
we know,
[tex] \boxed{mean = \frac{sum \: \: of \: \: all \: \: observations}{number \: \: of \: \: observations} }[/tex]
So,
[tex] \hookrightarrow \: 8 = \dfrac{22 + x}{4} [/tex]
[tex] \hookrightarrow \: 8 \times 4 = 22 + x[/tex]
[tex] \hookrightarrow \: 32 = 22 + x[/tex]
[tex] \hookrightarrow \: x = 32 - 22[/tex]
[tex] \hookrightarrow \: x = 10[/tex]
therefore, the last number is 10.
14 less than f
what is it?
40 x 3 x 100 ? What is the product
Answer:
12,000
Step-by-step explanation:
40*3 = 120
120*100 = 12,000
2x° 4xº
Find the value of x.
