Answer:
1)m<ABH=121°
2)m<GDF=59°
3)X=35
4)m<ABC=59°
5)m<EDA=59°
Step-by-step explanation:
1. You want to find X, so since the two expressions are Alternate Interoir Angles they equal each other
5x-54=3x+16
5x-3x-54=3x-3x+16
2x-54=16
2x-54+54=16+54
2x=70
2x/2=70/2
X=35
2. Now plug in X to each equation to test if it works
5(35)-54=3(35)+16
175-54=105+16
121=121
3. Now replace the two expressions with 121
4. Let's begin with <ABH. Since <ABH is verticle to 3x+16 they equal each other.
5. <GDF is right next to 5x-54 and they're on the same line meaning they equal 180°. So 180-121=59, this is also the reasoning with <EDA with 5x-54 and <ABC with 3x+16
NOTE: THIS ONLY IS TRUE IF LINE HC AND LINE GE ARE PARALLEL.
A shark is being tracked with a fin tag. The shark is swimming steadily 32 feet below the surface before ascending 5 feet in quickly descending 13 feet. What is the total change in the sharks position underwater?
First, the initial position is 32 feet.
The shark ascends 5 feet.
Because the shark is below
Please help
6x - 3y < 9
Answer:
y>2x−3
Step-by-step explanation:
:)
Solve for b
10, b, 150degrees, 12degrees
Hello!
We have all angles of the triangle:
We will use the law of cosines. This relation is valid for all sides of any t
We have:
angle A = 12°
côté a = 10
angle B = 150°
This is therefore the first case of application of the sine law.
So:
\(\sf \dfrac{b}{sin~B} = \dfrac{a}{sin~A}\)
\(\sf b =\dfrac{sin~B~*~a}{sin~A} = \dfrac{sin~150~*~10cm}{sin~12} = \dfrac{arcsin~0.5~*~10cm}{arcsin~0.2079116908} = \dfrac{30~*~10cm}{12} = \dfrac{300cm}{12} = \boxed{\sf25cm}\)
b = 25cmg(-2) for
g(x)=2x^3 3x^2 =4
PLEASE ANSWER THIS YOU WILL GET 20 POINTS I NEED HELP ASAP THANK YOU SO MUCH
Answer:
g(-2)
g(x)=2x^3 3x^2 =4
i'm not exactly sure what you are asking for but if its something like
g(x)=2x^3+3x^2-4 and then g(-2)
then you just have to multiply
2(-2)^3=-16
+3(-2)^2-4=8
=-8
2(-2)^3=-16
2(-2)^3-+3(-2)^2-4
=-32
Factor x2 – 8x + 15.
Which pair of numbers has a product of ac and a sum of b?
Answer:
(x - 5)(x - 3)
Step-by-step explanation:
\( {x}^{2} - 8x + 15 \\ = {x}^{2} - 5x - 3x + 15 \\ = x(x - 5) - 3(x - 5) \\ = (x - 5)(x - 3) \\ \\ ac = ( - 5) (- 3) = 15 \\ a + c = - 5 - 3 = - 8\)
f(x) = 3x+2
What is f(5)?
F(5)= 3.(5)+2=15+2=17
Another example: F(0)=3.(0)+2=0+2=2
You just replace the value in the two sides.
Adrian makes $36.50 per day plus tips. His average tip is 17% of the total amount of money customers spend. Which equation could be used to determine x, the total amount of money customers would need to spend for Adrian to earn a daily income of $150? A. 150 = 36.50 + 17x B. 150 = 0.17 + 36.50x C. 150 = x(17 + 36.50) D. 150 = 36.50 + 0.17x
Answer:
For this case we know that the fixed cost is $36.50 and the variable cost is 17% of the total amount of money customers spend, let's asusme that this variable is x. And we can create a model like this one:
\( y = mx +b\)
Where y represent the income and x the the total amount of money customers would need to spend. For this case the value for b = 36.50 and the slope m would be 0.17 since if we convert the % into a fraction we got 0.17. So then the best option is:
\( 150 = 36.5 +0.17x\)
D. 150 = 36.50 + 0.17x
Step-by-step explanation:
For this case we know that the fixed cost is $36.50 and the variable cost is 17% of the total amount of money customers spend, let's asusme that this variable is x. And we can create a model like this one:
\( y = mx +b\)
Where y represent the income and x the the total amount of money customers would need to spend. For this case the value for b = 36.50 and the slope would be 0.17 since if we convert the % into a fraction we got 0.17. So then the best option is:
\( 150 = 36.5 +0.17x\)
D. 150 = 36.50 + 0.17x
Zora saved of her paycheck and to that she added $40.40. If the total that went into her savings
was $185, what was the amount of Zora's paycheck?
the 6% state income tax on a $42.00 salary
Answer:
75 cents
Step-by-step explanation:
This one is tricky! Imagine that you meet a new friend who is also a beginner, and she can run the 5k in 23.5 minutes. You wonder what percentage of the beginner running population could run the 5k faster than your new friend (that is, what percentage of the population has a time that is less than your new friend
Answer:
38.74%
Step-by-step explanation:
Given the data:
21 21 22 22 23 23 23 24 24 24 24 24 25 25 25 26 26 27 27
We obtain the beginner running population and standard deviation
Population mean, μ = Σx/n = 456/19 = 24
Standard deviation, σ = 1.747 (using calculator)
Friend's Runtime, x = 23.5 minutes
Obtaining the friend's Zscore :
Z = (x - μ) / σ
Z = (23.5 - 24) / 1.747
Z = - 0.286
Obtaining the Pvalue :
Using a standard normal distribution table :
P(Z < - 0.286) = 0.38744
Hence. Percentage of population that has lesser time :
0.38744 * 100% = 38.74%
Each day that a library book is kept past its due date, a $0.30 fee is charged at midnight. Which ordered pair is a viable solution if x represents the number of the days that a library book is late and y represents the total fee?
Answer:
x + $0.30 = y
Step-by-step explanation:
hope this helps!
Answer:
(x,0.3*x)
Step-by-step explanation:
the equation would be 0.3*x=y where x is days and y is total cost. so the ordered pair would be (x,y). swapping 0.3*x for y is where (x,0.3*x) is derived from. Since there will be no negative days and the fee only applies at midnight x must be positive and an integer.
What type of proof explains the solution to a problem through a series of sentences?
two-column proof
postulate proof
paragraph proof
theorem proof
Answer:
paragraph proof
Step-by-step explanation:
Five times the sum of the digits of a two-digit number is 13 less than the original number. If you reverse the digits in the two-digit number, four times the sum of its two digits is 21 less than the reversed two-digit number.
(Hint: You can use variables to represent the digits of a number. If a two-digit number has the digit x in tens place and y in one’s place, the number will be 10x + y. Reversing the order of the digits will change their place value and the reversed number will 10y + x.)
The difference of the original two-digit number and the number with reversed digits is........
.
Answer:
The difference of the original two-digit number and the number with reversed digits is 18.
Step-by-step explanation:
Since it's a two digit number, let x represent the tens digit and let y represent the units digit.
Thus, the original two digit number is;
10x + y.
The reverse two digit number is;
10y + x.
We are told that five times the sum of the digits of the two-digit number is 13 less than the original number.
Thus;
5(x + y) = (10x + y) - 13
Multiplying out the bracket gives;
5x + 5y = 10x + y - 13
Rearranging gives;
10x - 5x + y - 5y = 13
5x - 4y = 13 - - - - (3)
Also,we are told that, four times the sum of its two digits is 21 less than the reversed two-digit number. Thus;
4(x + y) = (10y + x) - 21 - - - (4)
Simplifying gives;
4x + 4y = 10y + x - 21
>> 10y - 4y - 4x + x = 21
>> 6y - 3x = 21 - - - (4)
Solving eq(3) and (4) simultaneously gives;
x = 5 and y = 3
Thus,
Original number = 53
Reversed number = 35
Difference between original and reversed number = 53 - 35 = 18
t=bd+M solving M what's the answer
Answer:
m=−bd+t
Step-by-step explanation:
t=bd+m
flip equation
bd+m=t
Step 2: Add -bd to both sides.
bd+m+−bd=t+−bd
m=−bd+t
On solving for M, we get -
M = t - bd
We have the following expression -
t = bd + M.
We have to solve for ' M '.
Solve for x : nx + a = \($\pi\).On solving, we get -
nx + a = \($\pi\)
x = \($\frac{\pi -a}{n}\)
According to the question, we have -
t = bd + M
t - bd = M
M = t - bd
Hence, on solving for M, we get -
M = t - bd
To solve more questions on Rearranging expressions, visit the link below-
brainly.com/question/8864600
#SPJ2
Sara has 6 gallons of milk. She uses 1/3 of the milk to make hot chocolate. Then, she uses 1/2 of the remaining milk to make cookies. How many gallons of milk does Sara have left after making hot chocolate and cookies?
2 gallons
3 gallons
4 gallons
5 gallons
Answer: 2 gallons
Step-by-step explanation:1/3 = 2 gallons which was already used and then 1/2 of the remaining was used which the remaining was 4 cutting it down to 2 therefore 2 gallons of milk are left
Make a table for each function rule. Then graph each equation using the points you created.
F (x) = 2x - 5
F (x) =-3x +6
F (x) =2/3x +4
Answer:
1.f(x)=2x-5
i will take the set {-2,-1,0,1,2}
f(-2)=2(-2)-5
=-4-5
=-9
f(-1)=2(-1)-5
=-2-5
=-7
f(0)=2(0)-5
=-5
f(1)=2(1)-5
=-3
f(2)=2(2)-5
=-1
so the coordinates of the function is {-9,-7,-5,-3,-1}
2.f(x)=-3x+6
i will the take the set {-2,-1,0,1,2} too
f(-2)=-3(-2)+6=6+6=12
f(-1)=-3(-1)+6=3+6=9
f(0)=-3(0)+6=6
f(1)=-3(1)+6=-3+6=3
f(2)=-3(2)+6=-6+6=0
{12,9,6,3,0}
3.f(x)=2/3.x+4
{-2,-1,0,1,2}
f(-2)=2/3(-2)+4=-4/3+4=(-4+12)/3=8/3
f(-1)=2/3(-1)+4=-2/3+4=(-2+12)/3=10/3
f(0)=2/3(0)+4=4
f(1)=2/3(1)+4=2/3+4=(2+12)/3=14/3
f(2)=2/3(2)+4=4/3+4=(4+12)/3=16/3
{8/3,10/3,4,14/3,16/3}
you're can graph those coordinates
actually you can take other coordinates...
CMIIW
,
NEEEEED HELP ASAP!!!
what is the range of y=-3\sqrt(-2x+8+4)
The range of the given function:
y = -3*√(-2x + 8 + 4)
is Range: (-∞, 0]
What is the range of the function?Here we have the function:
y = -3*√(-2x + 8 + 4)
The range is the set of possible values of y (called the outputs) of that equation. Now, remember that the mimimum of the square root is zero, thus the maximum of our function will be:
y = -3*0
y = 0
And then the function decreases, then the range is the set of all real numbers that are equal to or smaller than zero, this can be written as:
R: (-∞, 0]
Learn more about ranges:
https://brainly.com/question/10197594
#SPJ1
Help to solve this question attached below###
Question
A data set is summarized in the frequency table
below. The data set contains a total of 40 data
values. What is the missing frequency?
Value
1
2
3
4
Cr
5
6
7
8
Frequency
2
4
9
[]
6
8
2
4
The required Missing Frequency is 3.
What is frequency ?Frequency is a measure of the number of occurrences of a given event within a specified period of time. It can refer to the number of times a particular event happens in a unit of time.
Such as the number of times a wave or vibration occurs in a second, or the number of times an action occurs in a given period. In physics, frequency is measured in hertz (Hz); in electrical engineering, it is measured in cycles per second (cps). Frequency is also used in mathematics, music, and sound engineering.
Value Frequency
1 2
2 4
3 9
4 ?
5 6
6 8
7 2
8 4
Total 40
We have to find the Missing frequency:
Computation:
Missing frequency = Total frequency - Counted
Missing frequency = 40 - 37
Missing frequency = 3
To learn more about frequency visit:
brainly.com/question/1094036
#SPJ1
Polygon A is similar to Polygon B.
Find the perimeter of Polygon B.
24
A
PA = 128
15
B
PB = [?]
Answer:
\(P_{B}\) = 80
Step-by-step explanation:
given 2 similar figures with ratio of sides = a : b
then ratio of perimeters is also a : b
here ratio of sides = 24 : 15 = 8 : 5
the ratio of perimeters is also 8 : 5
then by proportion
\(\frac{ratioA}{P_{A} }\) = \(\frac{ratioB}{P_{B} }\) , that is
\(\frac{8}{128}\) = \(\frac{5}{P_{B} }\) ( cross- multiply )
8 \(P_{B}\) = 5 × 128 = 640 ( divide both sides by 8 )
\(P_{B}\) = 80
help me fast rapidly is of khan academy:
Answer:
0 hundreds
0 tens
7 ones
.
4 tenths
0 hundredths
8 thousandths
Standard form=7.408
Step-by-step explanation:
Lets first solve (7x1)+(4x1/10)+(8x1/1000)
7+0.4+0.008
Simplify:
7.408
PLEASE MARK AS BRAINLIESTWhich is not an equation of the line going through (6, 7) and (2,-1)?
A.y+1=2(x-2)
OB. y-7-2(x-6)
OC. y-1-2(x+2)
D. y=2x-5
The equation of the line that do not pass through (6, 7)(2, -1) is y - 1 = 2(x + 2)
How to express equation of a line?The equation of a line can be express in different form. example includes slope intercept form and point slope form.
Let's express the equation in slope intercept form.
y = mx + b
where
m = slopeb = y-interceptTherefore,
(6, 7)(2, - 1)
m = -1 - 7 / 2 - 6
m = -8 / - 4
m = 2
Therefore, using (6, 7)
y = 2x + b
7 = 2(6) + b
b = 7 - 12
b = - 5
Hence,
y = 2x - 5
Therefore, in point slope form using (6, 7) and (2, -1)
y - y₁ = m(x - x₁)
y - 7 = 2(x - 6)
using (2, -1)
y + 1 = 2(x - 2)
Therefore, the equation of the line that do not pass through (6, 7)(2, -1) is y - 1 = 2(x + 2)
learn more on equation of a line here: https://brainly.com/question/16814663
#SPJ1
Justin runs each lap in 8 minutes. He will run at most 10 laps today. What are the possible numbers of minutes he will run today?
6+√-18 simplified for edmentum
Answer:
= 18√2
decimal =25.45584412
What is the area of the shaded region?
Answer:
132 ft
Step-by-step explanation:
Area small one
8^8 = 64 ft
Area of large one
14^14 = 196 ft
Shaded region=
196-64 =132 ft
Does this table represent a function? Why or why not?
X
у
2.
1
3
4.
4
4
5
2
5
5
Leah works at an appliance store. She recorded her recent sales.
washing machines 3
dishwashers 1
ovens 6
clothes dryers 5
What is the experimental probability that the next appliance Leah sells will be an oven?
6/15
you add everything she sells together. ( 3+1+6+5=15) Then you put the amount of ovens she sells above taht number, making it a fraction.
Strawberries cost $21.25 for 4 pounds. Find the unit rate. Round to the nearest cent if necessary.
Answer:
$5.31/lb
Step-by-step explanation:
Since 4 pounds cost $21.25, 1 pound of strawberries will cost 21.25 / 4 ≈ 5.31, therefore, the unit rate is $5.31/lb.
Answer:
$5.31 per pound.
Step-by-step explanation:
$21.25 for so
%21.25/4= $5.31
The answer is $5.31 per pound.
Please I need a surely answer and a quicker
Answer and I will give you brainiliest
Answer:
the grocery store
Step-by-step explanation:
its .85 miles which is farther than any other answer