If the measure of angle 2 Is (4x+10)degrees and the measure of angle 3 is (3x-5)degrees, what is the measure of angle 2 in degrees?
Answers
Answer:
110°
Step-by-step explanation:
4x+10 + (3x-5) = 180
7x + 5 = 180
7x = 175
x = 25
∠2 = 4(25) + 10 = 110
The measure of angle 2 in degrees, when both lines are perpendicular, is approximately 58.56 degrees.
To find the measure of angle 2 when the lines are perpendicular, we can set up an equation. Since the angles are formed by perpendicular lines, we know that the sum of angle 2 and angle 3 will be equal to 90 degrees. Mathematically, we can write this as:
(4x + 10) + (3x - 5) = 90
Now, let's solve the equation to find the value of x. First, combine like terms:
4x + 3x + 10 - 5 = 90
7x + 5 = 90
Next, isolate x by subtracting 5 from both sides:
7x = 85
Finally, divide by 7 to solve for x:
x = 85 / 7 ≈ 12.14
Now that we have the value of x, we can find the measure of angle 2 by substituting x back into its expression:
Angle 2 = 4x + 10
Angle 2 = 4(12.14) + 10
Angle 2 ≈ 48.56 + 10
Angle 2 ≈ 58.56 degrees
To know more about angle here
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Related Questions
A triangular prism has a base area of 12 square centimeters, and a height of 15 centimeters. What is the volume?
Answers
Volume=Area is the base • height
Volume=12•15
Volume=180cm^2
Explanation: Since the area of the base is already given, plug in 12 for the base and 15 for the height, then solve. If the area of the base wasn’t given, use the area formula for a triangle (A=(1/2)bh).
Assume the random variable X is normally distributed with mean μ = 50 and standard deviation σ= 7. Compute the probability.
Answers
Complete question is;
Assume the random variable X is normally distributed with mean μ = 50 and standard deviation σ = 7. What is the probability P (X > 42)?
Answer:
P(X > 42) = 0.1271
Step-by-step explanation:
We are given;
mean; μ = 50
Standard deviation; σ = 7
Formula for the z-score is;
z = (x - μ)/σ
Thus;
z = (42 - 50)/7
z = -1.14
Since we are looking for P (X > 42), then let's look up this z-value from the z-distribution table attached.
We have;
P(X > 42) = 0.1271
A school cafeteria wants to survey a random sample of 50 students about the quality of food. During one lunch period, every 5th student who walks through the cafeteria door is surveyed until 50 students are selected. Which of the following statements is true about this sample?
Answers
Answer:
B
Step-by-step explanation:
Answer:
B EDGE
Step-by-step explanation:
An aeroplane takes 4 hours to travel a distance of 440 0km. Another aeroplane travels at a speed which is 100km per hour less than the first aeroplane. How long will take the second aeroplane to travel he same distance as the first?
Answers
Answer:
7480 hours
Step-by-step explanation:
440 - 100 = 340
LCM of 440 and 340
440 = 2 × 2 × 2 × 5 × 11
340 = 2 × 2 × 5 × 17
LCM = 2 × 2 × 2 × 5 × 11 × 17
LCM = 7480
2. The set {0,1,-1} is closed under the operation of?
Answers
Does this graph represent a function? Why or why not?
Answers
You buy a used car for $9,000. The car depreciates 9% per year. Find the value of the
car after 10 years.
Answers
Answer:
$19,000.Step-by-step explanation:
#hopeithelpsbrainliest me.Can you help me please
Answers
Answer:
no solution
Step-by-step explanation:
[tex]\dfrac{2x - 6}{4} > \dfrac{x - 3}{2}[/tex]
The LCD is 4, so multiply both sides of the inequality by 4.
[tex]4 \times \dfrac{2x - 6}{4} > 4 \times \dfrac{x - 3}{2}[/tex]
[tex]2x - 6 > 2 \times (x - 3)[/tex]
[tex]2x - 6 > 2x - 6[/tex]
Subtract 2x from both sides.
[tex]-6 > -6[/tex]
Since -6 = -6, the above statement is false, so there are no solutions.
Answer: no solution
Giving out brainliestttt answer !!! help me out?!!!
Answers
Answer:
F= 60.256
D = 29.744
Step-by-step explanation:
This is a completely different from the way usually I do it
B = arcsin(b·sin(A)a)
= 1.05166 rad = 60.256°
180-60.256-90 = 29.744°
What is an opposite number?
Answers
Answer:
The opposite of a number is the number on the other side of 0 number line, and the same distance from 0.
Determine whether the sampling method described below appears to be sound or is flawed. In a survey of 511 human resource​ professionals, each was asked about the importance of the age of a job applicant. The survey subjects were randomly selected by pollsters from a reputable market research firm.
a) it is flawed because it is a census.
b) it is flawed because it is not statistically significant.
c) it appears to be sound because the data are not biased in anyway.
d) it is flawed because it is a voluntary response sample.
Answers
Answer:
c) it appears to be sound because the data are not biased in anyway.
Step-by-step explanation:
From the information given regarding the sample selection method , the size, the larger sample from which the survey subject were selected, we can conclude that the data is sound and not in anyway biased. The subject were selected from a reputable market research firm, which means the subjects were chosen from a larger sample which is reliable and not just a voluntary pool of subjects. Also, the selection process is randomized. Based on these, there are no flaws which are likely to cause the introduction of bias into the sample selected. Hence, the data is sound and not in any way biased.
Which system of equations represents the matrix shown below?
Answers
Answer:
c
Step-by-step explanation:
Soda is sold in aluminum cans that measure 7 inches in height and 2.8 inches in diameter. How many cubic inches of soda are contained in a full can?
Answers
9514 1404 393
Answer:
43.1 in³
Step-by-step explanation:
The volume can be computed using the formula ...
V = (π/4)d²h . . . . where d is the diameter and h is the height
For your dimensions, the volume is ...
V = (π/4)(2.8 in)²(7 in) ≈ 43.103 in³
A full can contains a volume of about 43.1 cubic inches.
how are they the same
Answers
Answer:
Step-by-step explanation:
The ways that they are the same are.
The slope is the same.Since the slope is the same for both of them, there is no possible solution meant for both of them. The slope is 1/4They are both written in slope y intercept form.The only difference is the y intercept is different. y intercept for y = 1/4 x is 0,0y intercept for y = 1/4 x is 0,5Find the median and mean of the data set below:
10, 43, 20, 11
Answers
Mean: 21
graph the function g(x)=-4x-1
Answers
here is the answer
mark me in the brainlist
thanks
Please help quickly I really don’t understand this question and i’m freaking out.
Answers
Answer:
[tex] \frac{4 \sqrt{3x} }{9} [/tex]Step-by-step explanation:
[tex] \frac{4 \sqrt{ {21x}^{2} } }{3 \sqrt{63x} } [/tex][tex] \frac{4 \sqrt{ \frac{21 {x}^{2} }{63x} } }{3} [/tex][tex] \frac{4 \sqrt{ \frac{x}{3} } }{3} [/tex][tex] \frac{4 \sqrt{ \frac{x \times 3}{3} } }{3} [/tex][tex] \frac{\frac{4 \sqrt{3x} }{3} }{3} [/tex][tex] \frac{4 \sqrt{3x} }{3} \times \frac{1}{3} [/tex][tex] \frac{4 \sqrt{3x} }{9} [/tex]Hope it is helpful...Which statement is true about the graphed function?
O Fx) < 0 over the interval (-0, 4)
OFx) < 0 over the interval (-0, -3)
O F(x) > 0 over the interval (-00, -3)
O F(x) > 0 over the interval (-0, 4)
Answers
Answer:
D is the answer to the question
Suppose that prices of a gallon of milk at various stores in one town have a mean of $3.91 with a standard deviation of $0.13. Using Chebyshev's Theorem, what is the minimum percentage of stores that sell a gallon of milk for between $3.65 and $4.17
Answers
Answer:
The minimum percentage of stores that sell a gallon of milk for between $3.65 and $4.17 is of 75%.
Step-by-step explanation:
Chebyshev Theorem
The Chebyshev Theorem can also be applied to non-normal distribution. It states that:
At least 75% of the measures are within 2 standard deviations of the mean.
At least 89% of the measures are within 3 standard deviations of the mean.
An in general terms, the percentage of measures within k standard deviations of the mean is given by [tex]100(1 - \frac{1}{k^{2}})[/tex].
In this question:
We have a mean of $3.91 and a standard deviation of $0.13.
Using Chebyshev's Theorem, what is the minimum percentage of stores that sell a gallon of milk for between $3.65 and $4.17?
3.65 = 3.91 - 2*0.13
4.17 = 3.91 + 2*0.13
Within 2 standard deviations of the mean, so, by the Chebyshev's Theorem, the minimum percentage of stores that sell a gallon of milk for between $3.65 and $4.17 is of 75%.
Please help! 35 points
Answers
Answer:
10.A
11.A
12.A
Step-by-step explanation:
thank me later
change the following into mixed fraction 19/6
Answers
Explanation:
1. divide the numerator by the denominator
2. write down the whole number result
3. use the remainder as the new numerator
Answer:
6 1/6
Step-by-step explanation:
Divide the numerator (19) by the denominator (6)
Write down the whole number result which in this case would be 3
Use the remainder as the new numerator over the denominator. This is the fraction part of the mixed number. which in this case is 1/6
therefore the answer is 6 1/6
Hi :), im really struggling with this. Just wanted to know if anyone can explain step by step for me please. Id really appreciate it.
Answers
Answer:
222
Step-by-step explanation:
What I did was calculate the area of each sides of the triangular prism.
For the two triangles:
1/2(6x5)=15 (for 1 triangle, notice there are 2 so -> 30)
For the 2 rectangles:
5x12=60 x2 = 120
For the base:
6x12=72
Add all them together we get 222
A company's mean salary is $65,000 with a standard deviation of $6,000. If a sample of
40 employees is taken, determine the standard error.
948.68
325.25
9328.71
none of these
Answers
Answer:
umm not sure on this one either 9328.71
Step-by-step explanation:
HELPPP WHICH KNE DO I PICKK LEASE I NEED TO FO THIS JOW
Answers
Answer:
first and third option are correct.
Step-by-step explanation:
6(x+3)
=6*x + 6*3
=6x + 18
Which table represents a linear function?
c
2
0
1
2
y
0
-1
4
-9
0
1
2
3
y
3
1
1
-3
2
0
y
0
1
4
9
y
1
3
0
1
2
3
1
--3
2
3
-1
Answers
Answer:
Table C is the answer
Step-by-step explanation:
Shine has some money in his account.Every Month, he used the same amount of money from his account to pay for his music classes. The table below shows the amount of money left in his account after a certain amount of time, in months:
Option 4) -$45 per month; the amount of money withdrawn per month
Answers
Answer:
Option 4) -$45 per month; the amount of money withdrawn per month.
Step-by-step explanation:
The rate of change is 45. Before he began taking money out to pay for his classes[month 0], he had $190. Since then, every month, $45 have been withdrawn.
What is the horizontal distance between (−5/3, -2) and (4, -2)?
ANSWER QUICK GIVING BRAIN LEST
Answers
Answer:
-2?
Step-by-step explanation:
use y2-y1 over x2-x1 to find the answer. So you would do -2--5/3 over 4--2. The two negitives turn into a positive. SO it is now -2+5/3 over 4+2. -2+5/3= -1/3 over 4+2=6 it is now -1/3/6 which equals -2. So I think the answer is -2. I do not know if you should trust me on this but I tried.
2) What is the probability you roll an odd number on a six-
sided die ?
Answers
Answer:
1/2 or 0.5
Step-by-step explanation:
All possible odd values on a 6-sided die include 1, 3, and 5; that is 3 values out of 6 total values. 3/6 or 1/2 is a 0.5 probability.
Write a function to describe the following scenario.
A taxi driver charges a $5 flat fee to
enter the car and $0.50 per mile.
What is the total cost of a taxi ride?
y = [?]x + [?]
Answers
Answer:
y = $0.50x + $5. $7 if you went 4 miles
Step-by-step explanation:
$0.50 will be the coefficient for the variable x since the amount changes based on how many miles you ride. $5 will be the amount you are charged just for getting into the taxi and doesn't change depending on how many miles you go.
[tex]y=0.50x+5[/tex]
I used x = 4 for the number of miles travelled.
[tex]y=0.50(4)+5[/tex]
[tex]y=2+5[/tex]
[tex]y=[/tex] $7 total cost
Which of the following equations has the solution set {0}?
-14m - 7m + 1 = -7m + 1
-14m + 7m + 1 = -7m + 2
14m - 7m - 1 = -7m + 1
Answers
Answer:
the first one
-14m - 7m + 1 = - 7m + 1
