1: Angles 2 & 6 + angles 3 & 7
- Angles that are on the inside of the parallel lines and on opposite sides of the transversal
2: Angle 1
- Angles in the same position but the other line
3: Alternate exterior angles
- Angles that are on the outside of the parallel lines and opposite sides of the transversal
4: Same side interior angles
- They are on the same side of the transversal and inside the parallel lines
5: Angle 2
- It is supplementary and on the inside of the parallel lines
6: Angle 4
- It is supplementary and on the outside of the parallel lines
7: 146°
- They are corresponding angles, so they are the same measurement
8: 128°
- They are supplementary angles, so 180 - 52 = 128
For 9 & 10:
- They are supplementary, so adding them together will result in 180 degrees
- (8x + 63) + (5x) = 180 -> 8x + 5x + 63 = 180 -> 13x = 117 -> x = 9
- Now we will plug it in to find the individual measurements:
9: 135°
- 8x + 63 -> 8(9) + 63 -> 72 + 63 = 135
10: 45°
- 5x -> 5 (9) = 45
I hope this helps, have a nice day! :D
MARKING BRAINLIEST
Ryan wants to describe the translation shown on the grid below.
On a coordinate plane, triangle X Y Z is shifted 1 unit to the left and 3 units up to form triangle X prime Y prime Z prime.
Ryan uses the following steps to describe the translation.
Step 1 Identify the pre-image and the image:
The pre-image is triangle XYZ, and the image is X prime Y prime Z prime.
Step 2
Identify the number of units that each point moves horizontally:
Each point moves one unit left.
Step 3
Identify the number of units that each point moves vertically:
Each point moves three units down.
Step 4
The translation is one unit left and three units down.
In which step did Ryan make the first error?
Step 1
Step 2
Step 3
Step 4
Answer:
Step 3 TRUST ME
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
simplify :
12⁷*28⁶
_______
21⁷*16⁶
Answer:
Step-by-step explanation:
Prime factorize 12 , 28 , 21 and 16
12 = 2 * 2 * 3 = 2² * 3
28 = 2 * 2 * 7 = 2² *7
21 = 3 * 7
16 = 2 * 2 * 2 * 2 = 2⁴
[tex]\dfrac{12^{7}*28^{6}}{21^{7}*16^{6}}=\dfrac{(2^{2}*3)^{7}*(2^{2}*7)^{6}}{(3*7)^{7}*(2^{4})^{6}}\\\\\\\\=\dfrac{2^{2*7}*3^{7}*2^{2*6}*7^{6}}{3^{7}*7^{7}*2^{4*6}}\\\\\\=\dfrac{2^{14}*3^{7}*2^{12}*7^{6}}{3^{7}*7^{7}*2^{24}}\\\\\\=\dfrac{2^{14+12-24}*3^{7-7}}{7^{7-6}}\\\\\\=\dfrac{2^{2}*3^{0}}{7^{1}}\\\\\\=\dfrac{2^{2}}{7}[/tex]
Hint:
[tex]a^{m}*a^{n}=a^{m+n}\\\\\\(a^{m})^{n}=a^{m*n}\\\\\dfrac{a^{m}}{a^{n}}=a^{m-n} \ if \ m >n\\\\\\\dfrac{a^{m}}{a^{n}}=\dfrac{1}{a^{n-m}} \ if \ n>m[/tex]
Which number replaces the question mark?
Answer:
iI think the answer is 9
Step-by-step explanation:
A long distance telephone company offer two plans . The deluxe plan cost $30 a month and offers unlimited long distance calling. The economy plan only costs $10 a month, but charges 5 cents per minute for every long- distance call. How many minutes a month can you use for long distance calls and still have money using the economy plan?
Answer:
399 minutes a month
Step-by-step explanation:
As I understand the question the answer would, in other words, be how many minutes you can long-distance call with the economy plan for under $30.
The unit ratio is 5 cents per minute, which equates to 20 minutes worth of call time for one dollar (100/5).
The economy plan is $20 cheaper than the deluxe plan. $20 spent on long-distance calling gets you 400 mintues, but the question asks for an integer that would still leave remaining money.
Therefore the answer is 399 minutes of long-distance calling, which would leave five unspent cents.
What is the quotient of -3/8 and -1/3?
A. -1 1/8
B. -1/8
C. 1/8
D. 1 1/8
Answer: A
Step-by-step explanation: if i recall, for the second Number, when flipping the number the sign flips to. If it's not A, it's D
-3/8 × 3/1 = -9/8= 1 1 / 8
It took Jason 20 days to write his college essay. He wrote half a page (0.5) every day. How long was the report?I need an explanation to so I can understand, thank you!
Question 6 of 17 Which expression uses the associative property to make it easier to evaluate 14(3 - 3)? O A. 14(1 : 3) B. (14 • ;)) O C. 1431 O D. D. (1. 114 3 )
Answer:
a
Step-by-step explanation:
other words for cubed in math exponents kids
Answer:
A cube is a three dimensional shape that features all right angles and a height, width and depth that are all equal. A cube has 6 square faces. A cube has 8 points (vertices). A cube has 12 edges.
Or
solid, six-sided solid, cubicle, hexahedron, die, third power, regular hexahedron, block, dice, cuboid and Rubiks.
Step-by-step explanation:
help me no link dummys jk A venue is preparing for a concert on the floor shown.The width of the red carpet is 1/6 of the width of the floor.What is the area of the red carpet
Answer:
The area of the red carpet is 1057 ft²
Step-by-step explanation:
The area of the red carpet is 112.35 ft².
Given that, the width of the stage =63 ft and the length of the stage =10 2/3 ft.
What is the area of a rectangle?The area of a rectangle is obtained by multiplying its length and width. Thus, the formula for the area, 'A' of a rectangle whose length and width are 'l' and 'w' respectively is the product "l × w".
Now, the width of the red carpet is 1/6 of the width of the floor = (1/6) × 63
=10.5 ft
Here, 10 2/3 can be written as 10.66 ≈ 10.7 ft
The area of the red carpet = length × width = 10.7 × 10.5
=112.35 ft²
Therefore, the area of the red carpet is 112.35 ft².
To learn more about the area of a rectangle visit:
https://brainly.com/question/20693059.
#SPJ2
Im reading the book Elie Wiesel
1. How does Elie manage to keep some of his teeth temporarily?
2. What happens to people who disobey the rules of the camp?
3. Why does the hanging of the “pipel” stay in Elie’s mind?
Answer: 1. tells the dentist that he doesn't feel well and that he will come back next time.
2. get sent to the crematory
3.Because the boy was young and beautiful.
hopes this helps
Guided Practice
What will the height of the pumpkin be when it has been in the air for 1 second?
A.
15 feet
B.
85 feet
C.
91 feet
D.
69 feet
Answer:
D.
69 feet
Step-by-step explanation:
Substitute 1 into the function for t and solve.
h( 1 ) = −16 ( 1 ) 2 +70( 1 )+15 h( 1 ) = 69h left parenthesis 1 right parenthesis equals negative 16 left parenthesis 1 right parenthesis squared plus 70 left parenthesis 1 right parenthesis plus 15 line break h left parenthesis 1 right parenthesis equals 69
Answer:
A i think its wrong srry
Step-by-step explanation:
What is the difference between reciprocal, opposite, and inverse in math?
Answer:
The difference between “inverse” and “reciprocal” is just that. ... “Inverse” and “reciprocal” are terms often used in mathematics. “Inverse” means “opposite.” “Reciprocal” means “equality,” and it is also called the multiplicative inverse.Step-by-step explanation:
Answer: Reciprocal- when you flip the denominator and the numerator in a fraction
Step-by-step explanation:
PLEASE HELP ASAP!!! WILL GIVE BRAINLIEST!!! Test each statement below to see if it is reversible. If it is reversible, write it as a true biconditional. If not, write not reversible.
1. If a whole number is a multiple of two, then the whole number is even.
2. Rabbits are animals that eat carrots.
3.Two lines that intersect to form four 90 degree angles are perpendicular.
4. Mammals are warm blooded animals.
Answer: 1. not revisable
2. not revisable
3. Not reversible
4. not revisable
Step-by-step explanation: 1.Likewise, a number is a reversible multiple if the number formed by 2058 is not reversible because 8502/2058 = 4.131, which is not a whole number
2. When rabbits eat carrots you cannot form the carrot back to its original form so that's why its irreversible (not/non revisable)
3.If two perpendicular lines intersect, they form four 90* angles. ... whose sum measures to 90 degrees - The statement is not reversible
4. a few species of cold-blooded mammals exist but you cannot change a warm blooded animal into cold.
Find the value of x.
X = 88°
based on the isosceles triangle, you can solve it.
Help. Please
And
Thank u
<3
Step-by-step explanation:
α = α
x = 96°
Answer → x = 96° (degree)
Answer:
96 Degrees
Step-by-step explanation:
If we look at the problem, we know that due to the fact that they are adjacent that they MUST be equal.
Here is the proof:
We'll assign each angle a letter as following
A B C D with A being the top left and D being the bottom right!
Now that we know that, first off, A has to be equal to 180-96 due to them being Supplementary Angles.
Therefore, A is 84 degrees.
Now to find x, we can use Supplementary Angles again.
x has to be 180-84 which is 96 degrees proving the theorum.
Have a nice day!
Please help, thank you (NO LINKS!)
Patsy has cheerleading practice every fourth day. She wants to be in the school play, but they have practice every sixth day. If both start on September 5th, what would be the next date she has to choose between cheerleading and play practice? Show your work and explain.
Answer:
the first time 4 and 6 intersent is 24
so 24 days after september 5th
september 29th
Hope This Helps!!!
Clothing sizes are not standardized across brands. Suppose that a large study of women's size 14 jeans revealed that the mean hip measurment was 42.3 in with a standard deviation of 1.2 in. As part of a project for a fashion merchandizing class, Mallorie selects a simple random sample of 15 pairs of women's size 16 jeans and records the following hip measurements. in inches. 44.5,43.0, 46.6, 42.9.43.7.43.9.42.4, 43.2, 43.1.44.4.46.1, 44.7,44.4, 43.9,44.7 Mallorie plans to use this data to construct a 99% confidence interval for fe, the mean hip measurement of women's size 16 jeans. She assumes that the hip measurements are normally distributed and that the population standard deviation is 1.2 in. The sample mean, x, is the point estimate for a confidence interval to estimate a population mean. What is the mean hip measurement for the random sample of 15 pairs of women's size 16 jeans? What is the margin of error for Mallorie's confidence interval? Choose the correct interpretation of Mallorie's confidence interval. a. Mallorie is 99% sure that the mean hip measurement of size 8 jeans is between 37.71 in and 38.67 in. b. In 99% of all samples, the sample mean will fall between 37.66 in and 38.73 in. c. There is a 99% chance that the mean hip measurement of size 8 jeans falls between 37.71 in and 38.67 in. d. There is a 99% chance that the mean hip measurement of size 8 jeans falls between 37.66 in and 38.73 in. e. Mallorie is 99% sure that the mean hip measurement of size 8 jeans is between 37.66 in and 38.73 in.
Using the z-distribution, we have that:
The mean hip measurement for the random sample of 15 pairs of women's size 16 jeans is of 44.1 inches.The margin of error is of 0.8 in.The interpretation is: Mallorie is 99% sure that the mean hip measurement of size 16 jeans is between 43.3 in and 44.9 in.The first step to solve this question, before building the confidence interval, is finding the sample mean, which is the sum of all observations divided by the number of observations. Hence:
[tex]\overline{x} = \frac{44.5+43.0+46.6+42.9+43.7+43.9+42.4+43.2+43.1+44.4+46.1+44.7+44.4+43.9+44.7}{15} = 44.1[/tex]
The margin of error of a z-confidence interval is given by:
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which:
z is the critical value. [tex]\sigma[/tex] is the population standard deviation. n is the sample size.We have to find the critical value, which is z with a p-value of [tex]\frac{1 + \alpha}{2}[/tex], in which [tex]\alpha[/tex] is the confidence level.
In this problem, [tex]\alpha = 0.99[/tex], thus, z with a p-value of [tex]\frac{1 + 0.99}{2} = 0.995[/tex], which means that it is z = 2.575.
Then, the margin of error is:
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]M = 2.575\frac{1.2}{\sqrt{15}}[/tex]
[tex]M = 0.8[/tex]
The margin of error is of 0.8 in.
The interval is:
[tex]\overline{x} \pm M[/tex]
[tex]\overline{x} - M = 44.1 - 0.8 = 43.3[/tex]
[tex]\overline{x} + M = 44.1 + 0.8 = 44.9[/tex]
The interpretation is:
Mallorie is 99% sure that the mean hip measurement of size 16 jeans is between 43.3 in and 44.9 in.
A similar problem is given at https://brainly.com/question/25300297
Can someone help me with this? Please and Thank You.
Answer:
4.9 hours
Step-by-step explanation:
Divide 1,625 by 2.5 to identify what number is being multiplied by 2.5.
Ans: 650
Divide 3,185 by 650 to find the time for 3,185 gallons of water.
Ans: 4.9
4.9 hours is your answer.
Twenty percent of a class is made up of girls. If there are 40 students in the class, how many are girls ?
Answer:
8
Step-by-step explanation:
20 percent of 40 is 8
I hope this is 5he answer you were looking for
1 If finding unit rate, what would be the best buy for potato chips? A. 18 oz. for $4.17 B. 32 oz for $7.92 C. 20 oz for $5.19 D. 30 oz for $5.99
Answer:
B.
Step-by-step explanation:
Unit rate is $4.04 per oz
i need help with this
graph 7=-(x-4)
Answer:
Graph the line using the slope and y-intercept, or two points.
Slope: Undefined
y-intercept: No y-intercept
x y
-3 0
-3 1
Step-by-step explanation:
Below is a picture of the graph. PLEASE MARK BRAINlIST
consider the expression
[tex] \sqrt{a^{2} + 12 } + |b| [/tex]
when a = -2 and b= 14. what is the value of the expression?
show work
Answer:
18
Step-by-step explanation:
[tex]\sqrt{((-2)^2 + 12)} + 14[/tex]
= [tex]\sqrt{(4 + 12)} + 14[/tex]
= [tex]\sqrt{16}+14[/tex]
= 4 + 14
= 18
Hope this helps!
Answer:
[tex] \sf 18[/tex]
Step-by-step explanation:
[tex] \sf = \sqrt{ { - 2}^{2} + 12} + |14| [/tex]
[tex] \sf = \sqrt{(( - 2) \times ( - 2)) + 12} + 14[/tex]
[tex] \sf = \sqrt{4 + 12} + 14[/tex]
[tex] \sf = \sqrt{16} + 14[/tex]
[tex] \sf = \sqrt{ {4}^{2} } + 14[/tex]
[tex] \sf = 4 + 14[/tex]
[tex] \sf = 18[/tex]
Help!!! evaluate peicewise functions
Answer:
9
Step-by-step explanation:
You choose the middle one because 3<(4)<10 makes sense where as the other ones don't when you plug in 4. Then you solve the equation which is x^2-7 and then you get 16-7 which is 9.
The radius of the earth is supposed to be 6300 km and the distance of the moon from the earth being 60 times the radius of the earth, find approximately the radius of the moon which subtends at the earth an angle of 21'.
solve this problem step by step .....
9514 1404 393
Answer:
1155 km
Step-by-step explanation:
The arc length of the moon's diameter is ...
s = rθ . . . . . where r is the distance to the moon, θ is the subtended arc in radians, and s is the moon's diameter.
There are 180° in π radians, and there are 60' in 1°. That means there are π/10800 radians in each minute of arc.
s = (60·6300 km)(21/10800π) = 2309 km
The radius of the moon is estimated to be half this diameter, or ...
moon radius ≈ 1155 km
_____
Additional comment
We have calculated the radius of the moon based on the numbers given in this problem. The angle subtended by the moon is actually about 31', not 21'.
Noah Invested $2500 in an account paying 3.5% simple interest. How much was his account
worth after 5 years?
A. $2937.50
B.$437.50
C.$2587.50
D.$2969.22
_______
[tex] \: [/tex]
$2.500 × 3,5% = $87.500
Soo :
$87.500 × 5
= $437.50 (B.)
The radius of the circle shown to the right is 3 inches. What is the area of this circle, in square inches?
(A) 3π (B)9π (C) 12π (D) 36π
Sarah took a 20? Test and got 17 problems correct what percent did she get
Answer:
85%
Step-by-step explanation:
Divide the number of problems gotten right by the total number of problems.
Sarah got an 85%.
Use this method.
part/whole = %/100
So.
17/20 = x/100
Cross multiply.
17•100=1700
20•x=20x
Divide by 20
1700÷20=85
Therefore the answer is 85%
Find the value of x.
Answer:
x is 60 because the total of angles in a triangle is 180 degrees
Answer: 5
Step-by-step explanation:
Since we are given two angles and one side, we can use the side angle side comparison logic to figure out that all sides are 7 and all angles are 60. Since we are given that a side with length 7 is also 2x-3, we can infer that 2x-3=7. 2x=10, x=5. easy
[tex]\sf 2x+12=4[/tex]
Answer:
x = -4
Step 1: Take all the constants on one side and the variables on the other.
(2 × x) + 12 = 4
=> (2 × x) = 4 - 12
(2 × x) = -8
Step 2: Divide 2 both sides to isolate 'x'.
=> [tex]\frac{2x}{2}[/tex] = [tex]\frac{-8}{2}[/tex]
=> x = -4
Hoped this helped.
Find the value if f(x) = -3x - 8 and g(x) = x2 + 3. Find the value g(-5) =
Step-by-step explanation:
g(x) = x² + 3
g(-5) = (-5)² + 3
g(-5) = 25 + 3
g(-5) = 28