Answers
Answer: m∠3 = 30° and m∠8= 150° .
Step-by-step explanation:
From the given figure it can be seen that a and b are two parallel lines, where t is transversal intersecting them.
Also, m∠3=x, m∠8=5x
To find : m∠3, m∠8
Since ∠3=∠5 [Interior alternate angles]
So, m∠5 =m∠3= x
Also, ∠5+∠8=180° [Linear pair]
⇒ x + 5x = 180° [Substituted the value of ∠5 and ∠8 in terms of x ]
⇒ 6x = 180°
⇒ x = 30° [Divide both sides by 6]
That means,
m∠3 = 30°
and m∠8= 5(30° ) = 150°
Hence, m∠3 = 30° and m∠8= 150° .
Related Questions
megan is performing a science experiment on a particular type of bacteria.she starts with 10 cells and she finds that the number of bacteria can be modeled by the following equation where y is the number of bacteria and t is the number of hours since the experiment started
Answers
Answer:
You can change the number of bacteria which is y, by the number of hours. So the equation would be like = t is 10y. ( In this case, y is 1 cell )
Step-by-step explanation:
I hoped this helped!
31/x=248/320
Solve for x
Answers
Answer:
X =(31×320)÷248
=9920÷248
X =40
Find the value of "k", given that one solution of the equation 2x² kx + 12 = 0 is
is -3/2
Answers
Answer:
Is there a picture to it.
that will me helpful for me
Step-by-step explanation:
Willing to help
In quadrilateral PQRS below, sides PS and QR are parallel for what value of x ? Individual Question 158 132 120 110 70
Answers
Answer:
[tex]x=112[/tex]
Step-by-step explanation:
The opposite angles of a parallelogram are equal.
Which of the following describes the transition of the graph of y = x^2 yo obtain the graph of y = -x^2 +3?
Answers
Answer:
The graph is reflected over the x axis and shifted up three units
what is the inverse of the function f(x) equals 1/9 X +2
Answers
Answer:
1/9x-2
Step-by-step explanation:
A. Statement 1 and 2
B. Statement 1,2,3 and 4
C. Statement 1 and 4
D. Statement 1,3 and 4
Answers
Hope this helps :)
For f(x)-3x+1 and g (x)-x^2-6 find (f•g)(x)
Answers
Answer & Step-by-step explanation:
For this problem, all we have to do is multiply the two expressions.
f(x) = 3x + 1
g(x) = x² - 6
Now, let's set up our equation for multiplication.
(f * g)(x) = (3x + 1)(x² - 6)
(f * g)(x) = 3x³ - 18x + x² - 6
(f * g)(x) = 3x³ + x² - 18x - 6
So, (f * g)(x) is 3x^3 + x^2 - 18x - 6
the correct Answer is
3x^3+x^2-18x-6
Gina makes fruit bags. Each bag has 2 apples and 3 oranges.
What is the ratio of the number of apples in each bag to the total number of fruit in each bag? Move numbers to the lines to complete the
sentence.
Answers
Answer:
2:5
Step-by-step explanation:
write this trinomial in factored form 4b^2 + 17b + 15
Answers
Answer:
(b + 3)(4b + 5)
Step-by-step explanation:
Given
4b² + 17b + 15
Consider the factors of the product of the b² term and the constant term which sum to give the coefficient of the b- term.
product = 4 × 15 = 60 and sum = 17
The factors are 12 and 5
Use these factors to split the b- term
4b² + 12b + 5b + 15 ( factor the first/second and third/fourth terms )
= 4b(b + 3) + 5(b + 3) ← factor out (b + 3) from each term
= (b + 3)(4b + 5) ← in factored form
Teresa borrowed $9000 from a bank for 2 years and was charged simple interest. The total interest that she paid on the loans was $1620. As a percentage, what was the annual interest rate of her loan?
Thanks.
Answers
Answer: 9%
Step-by-step explanation:
SI = prt/100
1620 = (9000 x r x 2) / 100
An airplane is flying at 350 km/h in a direction of 349 degrees. Find the westerly and northerly components of its velocity.
Answers
The westerly and northerly components of the velocity of a flying airplane are 343.5 km/h and 66.7 km/h respectively.
Given in the question,
The airplane is flying at 350km/h in a direction of 349 degrees.
so, the airplane is flying 360-349=11degrees from the east as shown in the image.
The northerly component is 350*sin11degrees and the westerly component is 350*cos11degrees.
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Find the measure of an exterior angle of a regular polygon with 36 sides
Answers
Answer: The sum of the measures of the exterior angles in a convex polygon is 360 degrees (this can be proven using the sum of the interior angles). Since each exterior angle measures 36 degrees, there are 10 sides to the polygon.
Step-by-step explanation:
What is the equation of the exponential function graphed below?
Answers
Answer:4
Step-by-step explanation:
Answer:D
Step-by-step explanation:
Y=e^x
five consecutive multiples of 3 add up to 105. What is the second smallest number
89 points!
Answers
Answer:
18
Step-by-step explanation:
Let's call the first number n. The next four numbers will be n + 3, n + 6, n + 9 and n + 12. Then, we have
n + n + 3 + n + 6 + n + 9 + n + 12 = 105
5n + 30 = 105
5n = 75
n = 15
The second smallest number is n + 3 which is 15 + 3 = 18.
Answer:
18
Step-by-step explanation:
There are 5 red tiles and 5 blue tiles with the letter A in a bag. There are also 6 red tiles and 4 blue tiles with the letter B in the bag. What is the
probability that a randomly selected tile is blue or has the letter B?
Answers
Letter b= 10/20- 1/2
Either blue or b= 19/20
Here is a pattern made up of tiles.
How many tiles will be in the 5th Pattern?
Answers
Answer:
26 tiles
Step-by-step explanation:
In the picture attached, the pattern is shown.
From the picture, we can see that:
the 1st pattern has 6 tilesthe 2nd pattern has 6 + 5 = 11 tiles the 3rd pattern has 11 + 5 = 16 tilesTherefore, the next patterns will have:
4th pattern, 16 + 5 = 21 tiles5th pattern, 21 + 5 = 26 tilesA pair of dice is rolled.
Find the probability of showing divisors of 12 on both dice.
Answers
Answer:
25/36
Step-by-step explanation:
The dicisors of 12 on a die are 1,2,3,4,6
So 5/6 per die
5/6*5/6 = 25/36
The length of one leg of a right triangle is 16 ft, and the length of the hypotenuse is
34 ft. What is the length of the other leg?
Answers
The length of other leg is 30 ft
Look at the attached picture
Hope it helps...
Good luck on your assignment
Answer:
[tex] = 30ft[/tex]
Step-by-step explanation:
[tex]h = 34ft \\ p = 16ft[/tex]
[tex] {h}^{2} = {p}^{2} + {b}^{2} \\ {34}^{2} = {16}^{2} + {b}^{2} \\ 1156 = 256 + {b}^{2} \\ 1156 - 256 = {b}^{2} \\ 900 = {b}^{2} \\ \sqrt{900} = b \\ 30ft = b[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
X-y=5;-x+y=5
Can someone help me plz
Answers
Answer:
Step-by-step explanation:
x-y=5
-x+y=5
or x-y=-5
so it is a system of two parallel lines.
so no solution.
or they do not intersect atmany point.
Find a positive angle less than 360° that is coterminal with the given angle.
620°
A positive angle less than 360° that is coterminal with 620° is...
Answers
Answer:
260
Step-by-step explanation:
Help me factorise these please :)
Answers
Answer:
Tell me if i'm wrong and stuff
Answer:
A:x ( x + 3 )
B:2 x ( x − 4 )
C:3 x ( 2 + 3 x 2 )
D:4 x 2 ( 3 x − 1 )
Step-by-step explanation:
hope this helps
mark me brainly
Why does 3-(x+1)=3-x-1? Use the distributive property.
Answers
[tex]3-(x+1)=3-x-1[/tex]
[tex](+3)-(x+1)[/tex]
[tex](+3)-1(x+1)[/tex]
Distribute the -1 to (x+1)
[tex](+3)-1x-1[/tex]
[tex]3-x-1[/tex]
[tex]-x+2[/tex]
3-1(x+1) = 3-x-1
Step 1. distribute the negative sign
2(-x-1) = 3-x-1
Step 2. distribute the 3
-2x-3= 3-x-1
add 3 on both sides
-2x = 6 - x - 1
add x to both sides
-1x = 6 - 1
-1x=5
x=5
SO..... u have to plug 5 in
-6p (p4- 8) what’s the answer ?
Answers
Answer:
-6p^5+48p
Step-by-step explanation:
-6p (p^4- 8)= -6p^5+48p
Solution,
-6p(p^4-8)
= -6p^5+48p
Hope it helps
good luck on your assignment
You have found the following ages (in years) of all 4 zebras at your local zoo: 14, 15, 9, 1 What is the average age of the zebras at your zoo? What is the variance?
Answers
Answer:
9.8. is the Average Age
30.7 is the Variance
Step-by-step explanation:
9.8 is the Average Age and the 30.7 is the Variance.
What is Variance?The term variance refers to a statistical measurement of the spread between numbers in a data set.
Given that, 4 zebras at a local zoo have ages 14, 15, 9, 1,
We need to find the average age and the variance,
we know that,
Average = Sum of all the values of the set given / Number of values in the set
And,
Variance = sum of all the values of (x - means) ² / (n)
So,
Average age = 14 + 15 + 9 + 1 / 4 = 39/4 = 9.75
Variance =
(14-9.75) ² = 18.06
(15-9.75) ² = 27.56
(9-9.75) ² = 0.5625
(1-9.75) ² = 76.56
= 18.06 + 27.56 + 0.5625 + 76.56 / 4
= 30.68 ≈ 30.7
Hence, 9.8 is the Average Age and the 30.7 is the Variance.
Learn more about variance, click;
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Which ordered pair is a solution of the equation?
y= 7x - 3
Choose 1 answer:
Answers
Answer:
[tex]\frac{3}{7}, -3[/tex]
Step-by-step explanation:
[tex]7x-3=0[/tex]
[tex]7x-3+3=0+3[/tex]
[tex]7x=3[/tex]
[tex]\frac{7x}{7}=\frac{3}{7}[/tex]
[tex]x=\frac{3}{7}[/tex]
[tex]\left(\frac{3}{7},\:0\right)[/tex]
[tex]y=7\cdot \:0-3[/tex]
[tex]y=0-3[/tex]
[tex]y=-3[/tex]
[tex]\left(0,\:-3\right)[/tex]
Answer:
3/7, 0
Step-by-step explanation:
7x-3=0
7x = 3
x = 3/7
substitute
y = 7(3/7) - 3
7s cancel out
y = 3 - 3
y= 0
37.68 yards that is the circumference I want to know what the radius is
Answers
The equation for the circumference is 2 pi r. You have the circumference given.
Now, divide that by pi to get 2 r.
This is approximately 11.63.
Now, divide that by 2 to get the radius.
Radius = 5.14 yards.
A bag has 4 balls: 1 red (R), 1 green (G), 1 yellow (Y), and 1 blue (B).
You randomly choose a ball. What is the sample space?
A. {R, G, Y, B}
B. {R, B, Y, O)
C. {R}
D. {G}
Answers
Answer:
The correct answer is A. {R,G,Y,B}.
Step-by-step explanation:
The sample space for the given information is A. {R, G, Y, B}.
What is a sample space?A sample space can be defined as a set of all possible outcomes of a random experiment.
The sample space is represented by the symbol, ‘S’. Sample space can also be expressed using the set notation, {}.
Given that, a bag has 4 balls: 1 red (R), 1 green (G), 1 yellow (Y), and 1 blue (B), we need to find the sample space for this data,
So,
Since, the sample space is the all the data in the set,
Therefore, the whole set is = 1 red (R), 1 green (G), 1 yellow (Y), and 1 blue (B).
Therefore,
S = {R, G, Y, B}
Hence, the sample space for the given information is A. {R, G, Y, B}.
Learn more about sample space click;
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Which expression is equivalent to −1 3/8?
A. -1 -3/8
B -1 +3/8
C. 1+3/8
D. 1-3/8
Answers
Answer:
It's A.
Step-by-step explanation:
-1 3/8 means 1 and 3/8 less than zero so its 0 - 1 then - another 3/8.
Answer:
a
Step-by-step explanation:
this is because a is equal to -1 +-3/8 which is -1 3/8
On a map of Braxton County, the library is located at (–3, –7). The hospital is located 5 units west of the library. What ordered pair represents the location of the hospital?
Answers
Answer:
(-8,-7)
Step-by-step explanation:
assuming that the top part of the y-axis is north and the bottom part is south
we know west is to the left and that means -5 so -3-5=-8 meaning our coordinate is (-8,-7)
