Answer:
x = 10
Step-by-step explanation:
This is a parallel line cut by a transversal.
The two angles are corresponding angles. Therefore, they are equal to each other.
6x+8 = 68 >> subtract 8 from both sides
6x = 60 >> divide both sides by 6 to get x alone
x = 10
you can check by substituting 10 as x and see if 6x+8 is equal to 68 which it is
WILL GIVE BRAINLIEST! In the figure, a∥b and m∠1 = 34°.
What is the m∠5?
Enter your answer in the box.
°
Severely slanted line c diagonally crossing parallel lines a and b (reading from top to bottom). Angles formed by c crossing a are labeled one through four, starting at top right and going counterclockwise, where angle one is acute. Angles formed by c crossing b are labeled five through eight, starting at top right and going counterclockwise.
PLEASE HELP ASAP...
WILL GIVE BRAINLIEST
Answer:
34 degrees
Step-by-step explanation:
What is the slope of a line perpendicular to the line whose equation is x - 3y = -18. Fully reduce your answer.
Given:
Equation of a line is
[tex]x-3y=-18[/tex]
To find:
The slope of the line perpendicular to the given line.
Solution:
The slope of the equation [tex]ax+by=c[/tex] is
[tex]Slope=-\dfrac{a}{b}[/tex]
We have,
[tex]x-3y=-18[/tex]
Here, a=1, b=-3. So, slope of this line is
[tex]m_1=-\dfrac{1}{-3}[/tex]
[tex]m_1=\dfrac{1}{3}[/tex]
Product of slopes of two perpendicular lines is -1.
Let slope of perpendicular line is [tex]m_2[/tex].
[tex]m_1\cdot m_2=-1[/tex]
[tex]\dfrac{1}{3}\cdot m_2=-1[/tex]
[tex]m_2=-3[/tex]
Therefore, the slope of the perpendicular line is -3.
Find the inverse f(x) = 4 – 9x
Answer:
[tex]-\frac{x-4}{9}[/tex]
Step-by-step explanation:
Replace x with f(x)
solve for f(x)
Please help! Thank you!
Guina made a scale drawing of a window she is making for her house.
1 centimeter = 3 inches. Triangle A B C. Side A is 4 centimeters, side B is 3 centimeters, and side C is 5 centimeters.
Which proportion could Guina use to find the length of side B?
StartFraction 1 centimeters over 3 inches EndFraction = StartFraction 3 centimeters over x centimeters EndFraction
StartFraction 3 centimeters over 1 centimeter EndFraction = StartFraction x centimeters over 3 centimeters EndFraction
StartFraction 1 centimeter over 3 inches EndFraction = StartFraction 3 centimeters over x inches EndFraction
StartFraction 3 inches over 3 centimeters EndFraction = StartFraction x inches over 1 centimeter
Answer:
Proportion: 1/3=3/x
Step-by-step explanation:
The "1/3" proportion is telling us how the scale measurement relates to the real measurement.
The "3/x" describes the length of side B.
Now it is easy to figure out the answer! :D
Hope it helped!
Answer:
c
Step-by-step explanation:
i took the test mark brainlest if right
Chris is tiling the bathroom floor. For a tile to fit in the corner of the room, he must cut it as shown below.
If x = 3, y = 12, and z = 9, what is the area of the tile being used?
A.
54 sq ft
B.
108 sq ft
C.
58.5 sq ft
D.
81 sq ft
Answer:
D. 81 sq. ft.
Step-by-step explanation:
We know x, y, and z's lengths. Those are 3, 12, and 9 respectively.
I first imagined a 12 by 9 rectangle and then figured about the area of the shaded part.
The 12 by 9 rectangle is 108 sq ft, But there is a empty part on the top left. That would be a 9 ft by 6 ft triangle.
The area of a triangle can be figured out with this formula: A = bh/2 Substitute b and h for 9 and 6 respectively.
A = (9 * 6)/2
A = 54/2
A = 27 sq. ft.
Now, subtract 27 from 108 to get the area of the shaded part.
108 - 27
81 sq. ft.
The area of the tile being used is 81 sq. ft.
Can sb help. It’s not much!!!!! Plz answer correctly
Answer: Im pretty sure it's 6
I don’t know this one either
Help me
Answer:
13,000
Step-by-step explanation:
8,613 rounded is 9,000
3,885 rounded is 4,000
so 9,000 + 4,000 = 13,000
f ÷ 20 = 17
what is f
Answer:
340
Step-by-step explanation:
Multiply both sides by 20.
Answer:
f=340
Step-by-step explanation:
17 times 20 equals 340
Hope I helped!! :)
Sorry if it's wrong! :(
Pls mark brainlist!!
solve: - 1/2x = 9/2x + 9/5
Answer:
Isolate the variable by dividing each side by factors that don't contain the variable.
Exact Form:
x = − 9 /25
Decimal Form:
x = − 0.36
I hope this helps! Have a great day!
What is the value of the expression , 10 + (2x3) 2 : 4 x (1/2)
Given:
The expression is
[tex]10+(2\times 3)^2:4\times \dfrac{1}{2}[/tex]
To find:
The value of the expression.
Solution:
We have,
[tex]10+(2\times 3)^2:4\times \dfrac{1}{2}[/tex]
It can be written as
[tex]=\dfrac{10+(2\times 3)^2}{4\times \dfrac{1}{2}}[/tex]
[tex]=\dfrac{10+(6)^2}{2}[/tex]
[tex]=\dfrac{10+36}{2}[/tex]
[tex]=\dfrac{46}{2}[/tex]
[tex]=23[/tex]
Therefore, the value of the given expression is 23.
1) three times a number is equal to thirty
Answer:
10!!
Step-by-step explanation:
10 x 3 = 30
10 + 10 + 10 = 30
Hiii I need help guysss tyyy and also need to plot points TYSM
Answer:
6x+10
Step-by-step explanation:
6 left and go up 10 and thats the point
Isabella is deciding between two parking garages. Garage A charges an initial fee of
$4 to park plus $3 per hour. Garage B charges an initial fee of $12 to park plus $2 per
hour. Let A represent the amount Garage A would charge if Isabella parks for t
hours, and let B represent the amount Garage B would charge if Isabella parks for t
hours. Write an equation for each situation, in terms oft, and determine the hours
parked, t, that would make the cost of each garage the same.
Answer:
i. A = 4 + 3t .......... 1
B = 12 + 2t .......... 2
ii. The hours required would be 8 hours.
Step-by-step explanation:
The charges at each of the garages can be expressed as;
i. For garage A,
A = 4 + 3t .......... 1
ii. For garage B,
B = 12 + 2t .......... 2
where A is the amount charged at garage A, B is the amount charged at garage B, and t is the number of hours.
To determine the number of hours parked that would make the cost of each garage the same.
Let:
equation 1 = equation 2
4 + 3t = 12 + 2t
collect like terms
3t - 2t = 12 - 4
t = 8
The hours that would make the cost of each garage the same is 8 hours.
What is the solution to the following system of equations
Answer: x=-2
Step-by-step explanation:
y=x+1
y=-x-3
-x-3=x+1
-4=2x
x=-2
Anthony and Miguel go to the store to purchase some new DVD's. There is an advertisement displayed in the window that states they can buy 3 DVD's for $22.50 or 5 DVD's for $37.50.
Is this a proportional relationship? Explain how you know.
Answer: it is a porportional relationship
Step-by-step explanation: looked it up
Can someone help me plz and thank u
Answer:
<A = 44
Step-by-step explanation:
A triangle is 180 degrees
(x+59) + (x+51) + 84 = 180 >> add everything on the left side
2x + 194 = 180 >> subtract both sides by 194
2x = -14 >> divide both sides by 2 to get x alone
x = -7
since you are finding A<, substitute
<A = x + 51
<A = (-7) + 51
<A = 44
Can someone help me with these pleaseeeee
Answer:
Okay sure
1. 8a-22
2. 5v+7
3. 17c+1
4. 15x-8y
Step-by-step explanation:
You just have to combine them together.
PLEASE HELP, WILL MARK YOUR ANSWER
Answer:
Your answer is B
Oh and have a nice day and stay safe!
- all love from jen <3
Answer:
The answer should be B. [tex]\frac{2\sqrt{3ef}}{3f}[/tex]
Step-by-step explanation:
where is the blue dot on the number line?
Answer:
The blue dot is on -3.1
Step-by-step explanation:
Answer: The blue dot is -3.21
Seth is analyzing the number of students in his class and high school who own skateboards. He puts
the data in the table shown. Given the information in the table, which event is the least likely?
Answer:it is the third option
Step-by-step explanation:
I took the test (:
Least likely event means probability of its occurrence is minimum among other events. The least likely events from the given events is: Option B: A randomly selected student who is a freshmen owns a skateboard
How to calculate the probability of an event?Suppose that there are finite elementary events in the sample space of the considered experiment, and all are equally likely.
Then, suppose we want to find the probability of an event E.
Then, its probability is given as
[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text{Number of total cases}} = \dfrac{n(E)}{n(S)}[/tex]
where favorable cases are those elementary events who belong to E, and total cases are the size of the sample space.
What is chain rule in probability?For two events A and B, by chain rule, we have:
[tex]P(A \cap B) = P(B)P(A|B) = P(A)P(A|B)[/tex]
How to find the conditional probability?Suppose that there are two events A and B. Then suppose the conditional probability are:
P(A|B) = probability of occurrence of A given B has already occurred.P(B|A) = probability of occurrence of B given A has already occurred.We can then use the chain rule to find them, or Baye's theorem also helps in finding these probabilities.
We are given the following table of joint relative frequency:
[tex]\begin{array}{cccc}&\text{Freshmen(B)}&\text{Non-Freshmen(B')}&\text{Total}\\\text{Owns a skateboard(A)}&40&110&150\\\text{Doesn't own skateboard(A')}&210&840&1050\\\text{Total}&250&950&1200\end{array}[/tex]
We named events as A, A' and B and B' (event and their complements).
The important probabilities which are going to be used are evaluated as:
[tex]P(A) = \dfrac{n(A)}{n(S)} = \dfrac{150}{1200} = \dfrac{1}{8}[/tex]
[tex]P(B) = \dfrac{n(B)}{n(S)} = \dfrac{250}{1200} = \dfrac{5}{24}[/tex]
[tex]P(A') = 1 - P(A) = \dfrac{7}{8}\\\\P(B') = 1-P(B) = \dfrac{5}{24} = \dfrac{19}{24}[/tex]
[tex]P(A \cap B) = \dfrac{n(A \cap B)}{n(S)} = \dfrac{40}{1200} = \dfrac{1}{30}\\\\P(A' \cap B') = \dfrac{n(A' \cap B')}{n(S)} = \dfrac{840}{1200} = \dfrac{7}{10}\\P(A' \cap B) = \dfrac{n(A' \cap B)}{n(S)} = \dfrac{210}{1200} = \dfrac{7}{40}[/tex]
Evaluating probabilities of choices given, we get:
Case 1: E = A randomly selected student who owns a skateboard is a freshmen
P(E) = ?
P(E) = P(B|A) = [tex]\dfrac{P(A \cap B)}{P(A)} = \dfrac{1/30}{1/8} = \dfrac{4}{15}[/tex]
Case 2: E = A randomly selected student who is a freshmen owns a skateboard:
P(E) = P(A|B) = [tex]\dfrac{P(A \cap B)}{P(B)} = \dfrac{1/30}{5/24} = \dfrac{4}{25}[/tex]
Case 3: E = A randomly selected student who doesn't owns a skateboard is a freshmen
P(E) = P(B|A') = [tex]\dfrac{P(A' \cap B)}{P(A')} = \dfrac{7/40}{19/24} = \dfrac{21}{95}[/tex]
Case 4: E = A randomly selected student who doesn't owns a skateboard is not a freshmen
P(E) = P(B'|A') = [tex]\dfrac{P(A' \cap B')}{P(A')} = \dfrac{7/10}{19/24} = \dfrac{84}{95}[/tex]
Thus, the least probability is for the second case.
Thus, the least likely event(the event having least probability) from the given events is: Option B: A randomly selected student who is a freshmen owns a skateboard
Learn more about probability here:
brainly.com/question/1210781
What is the quotient?
Answer:
I got 4e+12 which is d
I think
Step-by-step explanation:
Answer:
[tex]4* 10^{12}[/tex] (The 2nd one)
Step-by-step explanation:
You can do 6 ÷ 1.5.
This will give you 4.
If following the exponents rule, when dividing exponents with the same base, you need to subtract the exponents.
8 - (-4) = 12
6 is your base and 12 is your exponent.
Margaret noticed some students in her class like to write with short pencils, while others were using long pencils. She measured the lengths of each student's pencil and displayed the results in a line plot. If the lengths of the pencils were divided equally among the total number of pencils, what would be the length of each pencil?
Answer:
heres some info for you!
Step-by-step explanation:
work out the value of angle x.
and give a reason for your answer.
pls help!
Answer:
60°
Step-by-step explanation:
Since, all sides of the given triangle are marked with identical signs.
So, measures of all sides are equal.
Therefore, it is an equilateral triangle.
Measure of each angle of an equilateral triangle is 60°.
So, x = 60° ( Alternate angles)
HEY CAN SOMEONE HELP ASAP IVE BEEN ON THIS QUESTION FOR A WHILE NOW?!
Answer:
y=11.5x
he rides 11.5 miles every hour
Write in point slope form an equation of the line that passes through the given point and has the slope. (-2, 9) and m = 5
Answer:
The point-slope form of an equation of the line is:
[tex]y-9 = 5(x+2)[/tex]
Step-by-step explanation:
Given
Slope m = 5
Point (-2, 9)
Point slope form of an equation of a line:
Point slope form of an equation of a line is defined as
[tex]y-y_1=m\left(x-x_1\right)[/tex]
where
m is the slope of the line(x₁, y₁) is the pointIn our case,
m = 5(x₁, y₁) = (-2, 9)substituting the values m = 5 and the point (x₁, y₁) = (-2, 9) in the point-slope form of the line equation
[tex]y-y_1=m\left(x-x_1\right)[/tex]
[tex]y - 9 = 5 (x - (-2)[/tex]
[tex]y-9 = 5(x+2)[/tex]
Therefore, the point-slope form of an equation of the line is:
[tex]y-9 = 5(x+2)[/tex]
Please help! And 20 points! :3
1. 5% of Shawn's monthly earnings is budgeted for entertainment. If he spends $136 per month on entertainment, What are his total earnings?
2. A student answered 86 problems on a test correctly and received a grade of 98%. How many problems were on the test, if all the problems were worth the same number of points? ( Round to the nearest whole number)
3. A pitcher can hold 3,000 milliliters of tea. How many liters of tea are in the pitcher?
Answer:
1. 2720
2. 87.76
3. 3
Step-by-step explanation:
1.
x * 0.05 = 136
136/0.05 = 2720
2.
86/x = 0.98
86/0.98 = 87.76
3.
1 liter = 1000 mililiter
3000 mililiter = 3 liter
3
Lucas put 30% of his paycheque in a saving account and used another $180 to buy groceries. He has left $590 left. How much money did Lucas get paid?
someone help pleasee
Answer:
Option (3)
Step-by-step explanation:
If the sides of a triangle are unequal then the measure of sides opposite to these angle will be in the order from least to greatest.
In ΔABC,
m∠CAB = 180°- (m∠B + m∠C)
= 180° - (25° + 27°)
= 180° - 52°
= 128°
Since, ∠CAB > ∠ABC ∠ACB
Therefore, a > b > c ---------(1)
Now from ΔADB,
m∠BAD + m∠ADB + m∠DBA = 180°
32° + m∠ADB + m∠35° = 180°
m∠ADB = 180° - 67°
= 113°
Since, m∠ADB > m∠DBA > m∠BAD
Therefore, c > d > e -------(2)
Combining both the inequalities,
a > b > c > d > e
Option (3) will be the answer.
plz plz answer-------------------
Answer:
1.55
Step-by-step explanation:
Answer:
1 11/20
Step-by-step explanation:
Sorry I don't have time to explain! Hope this helps and have a good day ^^