The sketch shows two parallel lines cut by a transversal. Angle 1 is 58°. What is the measure of angle 7?
Answers
we have that
m∠1=58°
m∠7=?
we know that
m∠1+m∠3=180°------------> supplementary angles
and
m∠3=m∠7--------------------> corresponding angles
then
m∠3=180°-m∠1-----------> m∠3=180°-58°=122°
m∠7=m∠3=122°
the answer is m∠7=122°
The measure of angle 7 for the given set of parallel lines with given measure of angle 1 as 58 degrees is equal to 122°.
Here line m is parallel to line n and 'q' is the transversal.
In general, when two parallel lines are cut by a transversal, any pair of corresponding exterior angles are congruent.
Angles 1 and 5 are corresponding pair of exterior angles, which are always congruent.
So, the measure of angle 5 is the same as the measure of angle 1, which is 58°.
And measure of angle 5 and angle 7 are linear pair .
This implies,
Measure of ( angle 5 + angle 7 ) = 180°
⇒Measure of angle 7 = 180° - 58°
⇒Measure of angle 7 = 122°
Therefore, the measure of the angle 7 is equal to 122 degrees.
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The above question is incomplete, the complete question is:
The sketch shows two parallel lines cut by a transversal. Angle 1 is 58°. What is the measure of angle 7?
Attached figure.
Related Questions
Find the side and measure B
Answers
When angle opposite to the unknown sides and other two sides are given then we use law of cosines
Law of cosine
[tex] c^2 = a^2 + b^2 - 2ab cos(c) [/tex]
From the given diagram
[tex] AB^2 = CB^2 + AC^2 - 2(CB)(AC) cos( c) [/tex]
CB = 108
AC= 55
Angle c= 59
[tex] AB^2 = 108^2 + 55^2 - 2(108)(55) cos( 59 ) [/tex]
[tex] AB^2 = 8570.34767 [/tex]
Take square root on both sides
AB = 92.6 m
To find out angle B we use sine law
[tex] \frac{sin(a)}{a} = \frac{sin b}{b} = \frac{sin c}{c} [/tex]
[tex] \frac{sin b}{b} = \frac{sin c}{c} [/tex]
From the figure
[tex] \frac{sin B}{AC} = \frac{sin C}{AB} [/tex]
[tex] \frac{sin B}{55} = \frac{sin 59}{92.6} [/tex]
sin(B) = 0.50916647
B = [tex] sin^{-1} [/tex](0.50916647)
Angle B= 30.61 degrees
What Happened To The Guy Who Fell Into an Upholstery Machine
Answers
The question is about what happened to someone who fell into an upholstery machine. Physics principles such as Newton's laws of motion can explain the outcome of the incident.
Explanation:The question is about an incident where someone fell into an upholstery machine. Since it involves a physical event, the subject of this question is Physics, specifically related to forces and motion.
In this case, we can use the principles of Newton's laws of motion to explain what happened to the person who fell into the upholstery machine. The person's motion and the forces acting upon them would determine the outcome of the incident.
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20 points and brainliest if correct
Which function grows at the fastest rate for increasing values of x?
g(x)=2.5x
h(x)=9.5x2
f(x)=8.5x+3
Answers
What are two different ways of factoring –3x – 9? Select all that apply. A. –3(x + 3) B. 3(x + 3) C. 3(–x – 3) D. –3(x – 3)
Answers
Answer:
A and C
Step-by-step explanation:
Two different ways of factoring -3x - 9 are:
A. -3(x + 3)
C. 3(-x - 3)
What is the Factorization?Factorization, also known as factoring, is the breakdown of one element into a product of other objects, or factors, which when multiplied together generate the original.
To factor -3x - 9, we can rewrite it as -3(x + 3) or 3(-x - 3).
Both of these expressions are in the form of a product of a constant and a binomial (a polynomial with two terms).
Option A, -3(x + 3), can be obtained by applying the distributive property, which states that we can multiply a constant by each term in a binomial to obtain the product.
In this case, we have -3 × x + -3 × 3 = -3x - 9.
Option C, 3(-x - 3), can also be obtained using the distributive property. In this case, we have 3 × -x + 3 ×-3 = -3x - 9.
Option B, 3(x + 3), is incorrect because the coefficient of the x term is positive, whereas in the original expression it is negative.
Option D, -3(x - 3), is also incorrect because the coefficient of the x term is negative, whereas in the original expression it is positive.
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in an ordered pair,the x-coordinate represents the number of hexagons and the y-coordinate represents the total number of sides.If the x-coordinate is 7, what is the y coordinate
Answers
Hexagons have 6 sides. Since the x-coordinate is 7, there are 7 hexagons. 7 hexagons * 6 sides each = 42 sides for the y-coordinate.
Find the outlier of the set of data: 80, 71, 75, 69, 74, 17, 82 A. 82 B. 81 C. 74 D. 17
Answers
Answer:
Use the drop-down menus to identify the key values of the box plot.
The median is
✔ C
.
The minimum is
✔ A
.
The maximum is
✔ E
.
The lower quartile (Q1) is
✔ B
.
The upper quartile (Q3) is
✔ D
.
Step-by-step explanation:
i took the test
How many liters of a 10% saline solution must be added to to 4 liters of a 40% saline solution to obtain a 15% saline solution? A)20 L B)4 L C)2 L D)48 L Plz explain the steps and how to get answer
Answers
We will let x be the amount of 10% solution in our problem. 10% saline in x liters is 0.1x. 4 liters of a 40% solution would be 4*0.4 = 1.6. We know that there are a total of x+4 liters in the final solution, and that it is 15% saline; that is 0.15(x+4). Our equation is then:
0.1x + 0.4(4) = 0.15(x+4)
0.1x+1.6 = 0.15*x + 0.15*4
0.1x+1.6 = 0.15x+0.6
We cannot have a variable on both sides; we will subtract 0.1x from both sides:
0.1x + 1.6 - 0.1x = 0.15x + 0.6 - 0.1x
1.6 = 0.05x + 0.6
Subtract 0.6 from both sides:
1.6 - 0.6 = 0.05x + 0.6 - 0.6
1 = 0.05x
Divide both sides by 0.05:
1/0.05 = 0.05x/0.05
20 = x
x was the 10% solution, so there are 20 liters of it.
What is 50% of 80?
part ? 50
—— = ——- ] percent
whole. 80. 100
what is the part since we don’t know what “what” is.
50% is the percent
and 80 is the whole
Answers
50% of 80 is the number 40.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
We have to find the number of 50% of 80
Convert the percentage to deicmal number.
To do this we have to divide percentage by 100.
50/100=0.5
Now multiply 0.5 with 80
0.5×80
Which we get is 40
Hence, 50% of 80 is the number 40.
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simplify 1-2 (-3+x) +x
Answers
1 -2(x - 3) + x
Step 2. Expand
1 - 2x + 6 + x
Step 3. Collect like terms
(1 + 6) + (-2x + x)
Step 4. Simplify
-2x + 7
Which ordered pair could represent the coordinates of point k
Answers
a function FX is described by the ordered pairs X Y if if the given function is translated 2 units to the right and then reflected across the x axis what are the ordered pairs that describe the transformed function
Answers
[tex] \left \{ {{ x_{1} = x - n} \atop {y_{1} = y}} \right. [/tex]
A reflection over the x-axis will follow the rule:
[tex] \left \{ {{x_{2} = x } \atop { y_{2} = - y}} \right. [/tex]
Applying the two rules at the same time, we have:
[tex] \left \{ {{x' = x - n} \atop {y' = - y}} \right. [/tex]
Therefore, in your case:
x' = X - 2
y' = - Y
Combine any like terms in the expression. If there are no like terms, rewrite the expression.
7w3+8t2u2–2t2u2–4t2u2
Answers
---
Hope this helps!
Sabrina makes a pan pizza for the party she cuts the pizza into10 equal pieces after the party there was 5/10 of the pan pizza left write the fraction 5/10 as a product of a whole number and a unit fraction.
Answers
Number of pieces Pizza is cut is given as 10.After the party some pizza is left and some consumed .
Amount if pizza consumed in fractions is given as [tex] \frac{5}{10} [/tex]
The fraction can be reduced to simplest or lowest form by finding the common factor of numerator and denominator .Numerator is 5 and denominator is 10.
Both 5 and 10 can be divided by the common factor 5.
We have [tex] \frac{5}{10} =\frac{1}{2} [/tex]
The fraction can be written as [tex] \frac{1}{2} [/tex] in its lowest form or thei equals 0.5 in decimal .
The exchange rate at the post office is £1 = €1.17 how many euros will you get for £280
Answers
We are given:
£ 1 = € 1.17
We need to find
£ 280 = ?
We can do this by ratio/fraction
[tex] \frac{pounds}{euros} [/tex] or pounds : euros
[tex] \frac{1}{1.17} = \frac{280}{?} [/tex]
We need to cross multiply to find the value of € when £280
? = 1.17 x 280
? = 327.6
£280 ≈ €327.6
To calculate the number of euros you will get for £280, divide £280 by £1 and then multiply by €1.17. You will get approximately €327.60.
Explanation:To calculate the number of euros you will get for £280, we can use the given exchange rate of £1 = €1.17.
First, we need to find the value of 1 pound in euros by dividing £280 by £1.
This gives us 280.
Then, we can multiply 280 by €1.17 to get the number of euros you will get.
Therefore, you will get approximately €327.60 for £280.
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x^2-40x Complete the square for the expression. Then factor the trinamial.
Answers
solve for K. I TRIED MANY TIMES TO GET IT RIGHT BUT I STILL GET STUCK WHEN I AM CLOSE TO FINDING THE ANSWER!!!!
m=1/k+n
Answers
This is how you would solve for k.
m(k + n) = 1
k + n =[tex] \frac{1}{m} [/tex]
k = [tex] \frac{1}{m} [/tex] - n
[tex]m=\frac{1}{k}+n[/tex]
We need to solve for k.
In order to solve for k, we need to isolate k, meaning
1. subtract n on both sides in order to isolate k, simplify
[tex]m=\frac{1}{k}+n[/tex]
[tex]m-n=\frac{1}{k}+n-n[/tex]
[tex]m-n=\frac{1}{k}[/tex]
2. multiply k on both sides, do not forget the parentheses,
[tex]k(m-n)=1[/tex]
3. divide by (m-n) (do not forget the parentheses), simplify
[tex]k(m-n)/(m-n)=\frac{1}{(m-n}[/tex]
[tex]k=\frac{1}{(m-n)}[/tex]
So the final answer is
k=1/(m-n) do not forget the parentheses.
Which equation best represents a trend line for the scatter plot?
y=−3/7x+4
y=3/7x+4
y=−7/3x+4
y=7/3x+4
Answers
emma drives 1/4 of the way to work and uses 1/9 gallon of gas what fraction of the distance can she drive to work which one gallon of gas?
Answers
Emma can drive 1/4 of the distance to work with one gallon of gas.
Explanation:To find out what fraction of the distance Emma can drive to work with one gallon of gas, we need to find the fraction of the distance she can drive with 1/9 gallon of gas and then multiply it by the number of gallons in one gallon.
Emma drives 1/4 of the way to work and uses 1/9 gallon of gas. So, she can drive 1/4 * 1/9 = 1/36 of the distance to work with 1/9 gallon of gas.
To find the fraction of the distance she can drive with one gallon of gas, we multiply 1/36 by the number of gallons in one gallon: 1/36 * 9/1 = 9/36 = 1/4.
Therefore, Emma can drive 1/4 of the distance to work with one gallon of gas.
Mike owns two hardware stores. The scatter plots show the number of items sold at a specific price for each store for one week. Which store has more sales revenue ($$)?
A) Store #1
B) Store #2
C) The stores bring in the same amount of sales.
D) This cannot be determined from the scatter plots.
Answers
answer A
with the help of scatter plot we can calculate the revenue collection of the two stores
for store 1, revenue collection is 35100
for store 2, revenue collection is 29800
so, store 1 has more revenue collection than store 2
End time 10:30 elapsed time 3/4 of an hr what is starting time
Answers
Since the end time is 10:30 and the activity was started 3/4 an hour earlier, we need to subtract 3/4 an hour from 10:30 to get the starting time.
3/4 hour = 45 min
10:30 - 45 min = 9:45
So, the starting time is 9:45.
Hope this helps!
1 hour=60 minutes
3/4 hour=45 minutes
Then, we subtract 45 minutes from 10:30 to get the starting time:
10:30-45 minutes
=10:00-15 minutes
=9:45
The starting time was 9:45
Which statement is NOT true?
F. A set of ordered pairs describes a function if each x-value is paired with only one y-value.
G. A table of values describes a function if each x-value appears in the table only once.
H. A mapping is a function if each x-value is mapped to only one y-value.
J. Any graph that is a line represents a function.
Answers
_____________________________________________________
"A table of values describes a function if each x-value appears in the table only once."
_____________________________________________________
Note: All the other answer choices: [F], [H], and [J] — are true.
______________________________________________________
A function assigns the value of each element of one set to the other specific element of another set. The statement that is not true about the function is option G.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
A function from a set X to a set Y allocates precisely one element of Y to each element of X. The set X is known as the function's domain, while the set Y is known as the function's codomain.
The given following statements are about functions. Of the given four statements the one that is not correct is G. This is because if the x-value appears just for one time in a table does not mean it can not have multiple outputs.
Hence, the statement that is not true about the function is option G.
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In each of the equations or inequalities below, find all the integer values of x that make the equation or the pair of inequalities true. Explain reasoning for each part.
Part A: |x|=17
Value Of X:
Part B: |x+9|=15
Value Of X:
Part C: |x-10| ≤ 13 and |x-10| ≥ 9
(Find the values of x that make both inequalities true)
Values of X:
Answers
Part A: if the absolute value of X was 17, then X could equal -17 or 17.
Part B: |x+9|=15. We know that 6+9=15, so X could equal -6 or 6.
Part C: |x-10| ≤ 13. We know that 23-10 is 13. So 23 would be the greatest value of X. Then, for the smallest value of X, if we insert -3 in the equation to take the place of the variable, we get |-3-10|=13. So -3 would be the smallest value of the equation. X≤ 23 and X≥-3.
Write an expression based on the given description.
In Spencer’s garden, the number of rose bushes is 7 less than 1.5 times the number of carnation bushes. If the number of carnation bushes is c, then the expression representing the number of rose bushes is 7c – 1.5 1.5c – 7 7(c – 1.5) 1.5(c – 7) .
Answers
Answer:
7c -1.5
Step-by-step explanation:
Answer:
7c -1.5
I hope this helps
The ages of two groups of yoga students are shown in the following dot plots:
A dot plot shows Age in years on the horizontal axis. For Group P, there is 1 dot on 4, 2 dots on 5, 3 dots on 7, 1 dot on 8, 2 dots on 12, 1 dot on 14, 2 dots on 16, and 1 dot on 17. For Group Q, there is 1 dot on 4, 2 dots on 6, 2 dots on 8, 1 dot on 10, 3 dots on 12, 2 dots on 14, 3 dots on 16, 1 dot on 19, 3 dots on 20, 1 dot on 21, 2 dots on 22, 1 dot on 23, and 3 dots on 24.
The mean absolute deviation (MAD) for group P is 4.15 and the MAD for group Q is 5.35. Which of the following observations can be made using these data?
Group P has less variability in the data.
Group P has greater variability in the data.
Group Q has a lower range.
Group Q has a lower mean.
Answers
If you compare the mean absolute deviations (MAD), you see that group P has a lower value than group Q. This means that the values in group P are closer to the mean than group Q. Therefore, we say that it have less variability. In other words, the values don't vary as much.
Answer Group P has less variability in the data.
Actually you can have a d for any class because during science class in the 7th grade i had a D soo not trying to cause problems also but your grade has to be a 60 or above to pass and to fail is 59 and lower so
Step-by-step explanation:
Which of the following statements are equivalent to the statement "price increased by 100%"?
Choose all correct answers.
(A) The price doubled
(B) The price is 150% of the price before
(C) The price was reduced by a quarter
(D) The price became a half of what it was before
(E) The price is now 1.5 of what it was before
(F) The price now is 66 2/3% of what it was before
(G) The price now is 200% of what it was before
(H) The price is 75% of what it was before
Plssss help me!!
Answers
(A) The price doubled
(G) The price now is 200% of what it was before
Explanation:
Assume that the original price of the product is x. Therefore, x represents 100% of the original price.
Now, we are given that:
The price increased by 100%
This means that:
new price = old price + 100% of old price
new price = x + 100% (x)
new price = 2x
Thus, we can note that the price is doubled
We know that x represents 100% of the price of the product.
Therefore:
new price = x + x = 100% + 100% = 200%
This means that the new price is 200% of the old price
Notes:
Options C,D, F and H are incorrect because they represent a decrease in the price while we know that the price increased
Options B and E are incorrect because they represent an increase of 50% in the price while we know that the increase is 100%
Hope this helps :)
Answer:
A G
Step-by-step explanation:
because when the price is doubled that means it increases by 100%
and when the price is 200% of what it was befor means it is also doubled
How does tripling the circumference of the circle affect the diameter of the circle?
Answers
Given the area of a circle calculate the radius and circumference
r = √(A / π)C = 2πr
Proof: C= 3in r = 0.477464 d=2r=0.9549296
C= 9in r= 1.432394 d= 2.864788 = 3x
Use a strategy for the following problem(and I seriously need help!!):
In a sequence of numbers, each number in the sequence is called a term. In the sequence 1, 3, 5, 7, 9, the first term is 1, the second term is 3, the third term is 5, the fourth term is 7 and the fifth term is 9. In another sequence, the first term is 26. If a term in the sequence is even, then the next term will be half the value of that term. If a term in the sequence is odd, then the next term in the sequence is one more than three times that term. By following these rules, the first three terms of this sequence are 26, 13 and 40. Is the twenty-sixth term of the sequence odd or even. Justify your answer.
Answers
The best way to solve this problem is just create the list of terms that goes up to the 26th place. Don't worry, you will soon see a patter.
Remember the rules: If it's even, cut it in half. If it's odd, multiply by 3 and add 1.
So here is our list: 26 13 40 20 10 5 16 8 4 2 1 4 2 1 4 2 1 ...
Once you get to this point, the pattern will just continue with 4 2 1
And in the 26th place, you will see a 1.
Brandon is baking cookies for a school bake sale. If he can make 2 dozen cookies in 23 minutes which is a reasonable estimate of the amount of time it will take him to make 12 dozen cookies? A) between 4 and 5 hours B) between 3 and 4 hours C) between 2 and 3 hours D) between 1 and 2 hours
Answers
Answer:
The answer would be C.
Step-by-step explanation:
martin climbs 3 1/3 meters in the first 1/6 hour alexia climbs 17 1/2 meters in the first 5/6hour what is the rate martin and alexia climbed show workkk
Answers
rate=(distance )/(time)
Martin's rate will be:
(3 1/3)/(1/6)
=(10/3)/(1/6)
=20 meters per hour
Alexia's rate is:
(17 1/2)/(5/6)
=(35/2)/(5/6)
=21 meters per hour
Enter the values for a and b that complete
the sum:
A-
b-
Answers
a = 3
b = 5
Answer:
[tex]a=3[/tex] and [tex]b=5[/tex]
Step-by-step explanation:
We have been given an equation [tex]\frac{3}{x}+\frac{5}{x^2}=\frac{ax+b}{x^2}[/tex]. We are asked to find the value of 'a' and 'b'.
Let us make a common denominator:
[tex]\frac{3*x}{x*x}+\frac{5}{x^2}=\frac{ax+b}{x^2}[/tex]
[tex]\frac{3x}{x^2}+\frac{5}{x^2}=\frac{ax+b}{x^2}[/tex]
Add numerators:
[tex]\frac{3x+5}{x^2}=\frac{ax+b}{x^2}[/tex]
Therefore, [tex]a=3[/tex] and [tex]b=5[/tex] for the given equation.