Answers
Answer:
a. When you have two parallel lines cut by a transversal, angles 4 and 6 become same side interior angles, meaning they add to 180 degrees. Alex's mistake is that he thought angles 4 and 6 were corresponding angles, which are equal to each other (corresponding angles would be like angles 2 and 6. they are in the same place in relation to the transversal and the parallel lines. if you moved line l down, angle 2 would be on the same spot as angle 6, so they are corresponding angles).
b. angles 4 = 140 degrees
Step-by-step explanation:
a. Alex thought that angles 6 and 4 were corresponding angles, however, they are same side interior angles. Because two parallel lines are cut by a transversal, we can conclude that angles 4 and 6 are same side interior angles.
Same side interior angles are angles that add to 180, so you would do 180-40 to get angle 4. the measure of angle 4 would be 140 degrees (the answer to b).
Related Questions
Automated electron backscattered diffraction is now being used in the study of fracture phenomena. The following information is on misorientation angle (degrees).
Class: 0−<5 5−<10 10−<15 15−<20 20−<30 30−<40 40−<60 60−<90
Rel freq: 0.179 0.168 0.174 0.135 0.193 0.071 0.051 0.029
Is it true that more than 50% of the sampled angles are smaller than 15°, as asserted by researchers?
A. Yes, the proportion of sampled angles smaller than 15° is greater than 0.50.
B. Yes, the proportion of sampled angles smaller than 15° is not greater than 0.50.
C. No, the proportion of sampled angles smaller than 15° is greater than 0.50.
D. No, the proportion of sampled angles smaller than 15° is not greater than 0.50.
Answers
Answer: A. Yes, the proportion of sampled angles smaller than 15° is greater than 0.50.
Step-by-step explanation:
Given the data :
Class: _______ relative frequency
0−<5 __________ 0.179
5−<10 __________ 0.168
10−<15 _________ 0.174
15−<20 _________ 0.135
20−<30 _________0.193
30−<40 _________ 0.071
40−<60 _________ 0.051
60−<90 _________ 0.029
Evaluating the proportion of sampled angles less than 15°. This consist of the following classes :
Class: ________frequency
0−<5 __________ 0.179
5−<10 __________ 0.168
10−<15 _________ 0.174
Summing up the relative frequency values :
(0.179 + 0.168 + 0.174) = 0.521
0.521 * 100% = 52.1%
Hence, more than 50% of the sampled angles are smaller than 15°
Consider the following table that describes the mass of a kitten as weeks go by. If you know the kitten grows by 10% each week for the first 5 weeks, fill in the table for the values each week.
Week Mass (grams)
(start) 80
1
2
3
4
Answers
Answer:
Week 1 = 80
Week 2 =88
Week 3 = 96.8
Week 4 = 106.48
Week 5 = 117.128
Step-by-step explanation:
Given
Week 1 = 80
Growth = 10%
Required
Fill week 1 to 5
We have week 1 already.
Week 2 is calculated as thus:
Week 2 = Week 1 + 10% * Week 1
Week 2 = 80 + 10% * 80
Week 2 = 80 + 8
Week 2 = 88
Week 3 is calculated as thus:
Week 3 = Week 2 + 10% *Week 2
Week 3 = 88 + 10% * 88
Week 3 = 88 + 8.8
Week 3 = 96.8
Week 4 is calculated as thus:
Week 4 = Week 3 + 10% * Week 3
Week 4 = 96.8 * 10% *96.8
Week 4 = 96.8 + 9.68
Week 4 = 106.48
Lastly, week 5 is calculated as thus:
Week 5 = Week 4 + 10% * Week 4
Week 5 = 106.48 + 10% * 106.48
Week 5 = 106.48 + 10.648
Week 5 = 117.128
Given a linear equation in the form y=mx+b, what are the values of the slope and y-intercept of the equation?(1 point) The slope is m, and the y-intercept is y. The slope is x, and the y-intercept is b. The slope is b, and the y-intercept is m. The slope is m, and the y-intercept is b.
Answers
Answer:
The slope is m, and the y-intercept is b.
Step-by-step explanation:
What ever is attached to the x is the slope. The y-intercept is the b because it has a 0 on the x axis and a number on the y axis.
In ΔTUV, t = 6.6 inches, ∠U=71° and ∠V=36°. Find the length of u, to the nearest 10th of an inch.
Answers
Answer:
6.5
Step-by-step explanation:
\text{A.S.A.}\rightarrow \text{Law of Sines}
A.S.A.→Law of Sines
\frac{a}{\sin A}=\frac{b}{\sin B}
sinA
a
=
sinB
b
From reference sheet.
\text{Find other angle:}
Find other angle:
\angle T=180-71-36=73^{\circ}
∠T=180−71−36=73
∘
T
U
V
t = 6.6
u = ?
71°
36°
73°
\frac{u}{\sin 71}=\frac{6.6}{\sin 73}
sin71
u
=
sin73
6.6
Plug in. Opposite sides go together.
u=\frac{6.6\sin 71}{\sin 73} \approx 6.526 \approx 6.5
u=
sin73
6.6sin71
≈6.526≈6.5
Solve for the side and evaluate.
Answer:
6.5
Step-by-step explanation:
deltamath
At a fabric store, fabrics are sold by the yard. A dressmaker spent $36.35 on 4.25 yards of silk and cotton fabrics for a dress. Silk is $16.90 per yard and cotton is $4 per yard.
Find the solution of the system of equations. Explain or show your reasoning
{x+y=4.25} ; {16.90x+4y=36.35}
Answers
Answer:
The number of yards of silk = x = 1.5 yards
The number of yards of cotton = y = 2.75yards
Step-by-step explanation:
At a fabric store, fabrics are sold by the yard. A dressmaker spent $36.35 on 4.25 yards of silk and cotton fabrics for a dress. Silk is $16.90 per yard and cotton is $4 per yard.
Find the solution of the system of equations. Explain or show your reasoning
{x+y=4.25} ; {16.90x+4y=36.35}
Let the number of yards of silk = x
The number of yards of cotton = y
We are given the system of equations:
{x+y=4.25} ......Equation 1
x = 4.25 - y
{16.90x+4y=36.35}....... Equation 2
4.25 - y for x in Equation 2
16.90(4.25 - y) + 4y = 36.35
71.825 - 16.90y + 4y = 36.35
71.825 - 36.35 = 16.90 - 4y
35.475 = 12.90y
y = 35.475/12.90
y = 2.75 yards.
The number of yards of cotton = y
{x+y=4.25} ......Equation 1
x = 4.25 - y
x = 4.25 - 2.75
x = 1.5 yards
The number of yards of silk = x = 1.5 yards
The yards of silk bought is 1.49 yards and the yard of cotton bought is 2.76 yards.
The two equations are known as simultaneous equation. They would be solved using elimination method.
x + y = 4.25 equation 1
16.90x + 4y = 36.25 equation 2
where:
x = yards of silk bought
y = yards of cotton bought
In order to determine the value of x, multiply equation 1 by 4.
4x + 4y = 17 equation 3
Subtract equation 3 from 2
19.25 = 12.90x
Divide both sides of the equation by 12.90
x = 1.49 yards
In order to determine the value of y, substitute for x in equation 1
1.49 + y = 4.25
y = 4.25 - 1.49
y = 2.76 yards
To learn more about simultaneous equations, please check: brainly.com/question/23589883?referrer=searchResults
to bake 100 of his favorite cookies, Mr.Wallis needs 350 grams of sugar. How many grams of sugar would he need to bake 10 cookies?
Answers
answer:35 grams
explication: because if he need 350 grams of sugar to make 100 cookies , we have to divide 350 by 100 so it gives 35
The number of grams of sugar would he need to bake 10 cookies will be 35 grams.
What are ratio and proportion?A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.
To bake 100 of his favorite cookies, Mr.Wallis needs 350 grams of sugar.
Let x be the amount of sugar for 10 cookies.
The number of grams of sugar would he need to bake 10 cookies will be
x / 10 = 350 / 100
x / 10 = 3.5
x = 35 grams
The number of grams of sugar would he need to bake 10 cookies will be 35 grams.
More about the ratio and the proportion link is given below.
https://brainly.com/question/14335762
#SPJ2
What is the converse of the conditional statement?
If x is even, then x + 1 is odd.
A. If x is not even, then x + 1 is not odd.
B. lf x + 1 is odd, then x is even.
C. If x + 1 is not odd, then x is not even.
D. If x is even, then x + 1 is not odd.
Answers
Answer:
If x+1 is odd, then x is even B
Step-by-step explanation:
Conditional: If p, then q
Converse: If q, then p
p= x being even
q, x+1 being odd.
7th grade math help me plzzzz
Answers
Answer:
B.
Step-by-step explanation:
Answer:
0.05 per ounce
Step-by-step explanation:
5.20 per 40 is 0.13 per ounce
whereas
2.70 per 15 is 0.18 per ounce
Use the slope formula to determine the slope of the line.
(6,7) (9,9)
Answers
Answer:
2/3
Step-by-step explanation:
y2-y1/x2-x1
9-7/9-6
2/3
help plz explain how to use discributive property
Answers
1.Identify the fractions. Using the distributive property, you’ll eventually turn them into integers.
2.For all fractions, find the lowest common multiple (LCM) -- the smallest number that both denominators can fit neatly into. This will allow you to add fractions.
3.Multiply every term in the equation by the LCM.
4.Isolate variables adding or subtracting like terms on both sides of the equals sign.
5.Combine like terms.
6.Solve the equation and simplify, if needed.
Mr. paulson has been on a train for 4 hours and traveled 320 miles. At this rate, how far will he traveled in 5 hours?
Answers
Answer:
at 5 hours he will have traveled 400 mi
Step-by-step explanation:
320÷4= 80
320=4, then 400=5
hope this helps
5x - 12=18
Solve for x
Answers
Pls mark brainliest
Answer:
x = 6
Step-by-step explanation:
Add 12 to each side, so it now looks like this: 5x = 30Divide each side by 5 to cancel out the 5 next to x. It should now look like this: x = 6I hope this helps!
Question:
x = __ degrees
Answers
Answer:
80°
Step-by-step explanation:
Because a straight line always is equal to 180°
so 180 - 100 = 80
Your answer is 80.
Pls consider marking my answer as Brainliest! It would mean a lot!
CAN SOMEONE PLEASE DOUBLE CHECK IF THIS IS RIGHT!!! Please
Answers
Answer:
yes yesss yessssssssssssssssssssssssssssssssssss
7th grade help me pleasee
Answers
Jose filled up his car with gas before embarking on a road trip across the country. The
capacity of Jose's gas tank is 12 gallons and after driving for 4 hours, there were 4
gallons of gas left in the tank. Write an equation for G, in terms oft, representing the
number of gallons of gas remaining in Jose's gas tank after t hours of driving.
Answers
Answer:
g=-2t+12
Step-by-step explanation:
The equation for G representing the number of gallons of gas remaining in Jose's gas tank after t hours of driving will be G = 12 - 2t.
What is a linear equation?A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
Jose filled up his car with gas before embarking on a road trip across the country. The capacity of Jose's gas tank is 12 gallons and after driving for 4 hours, there were 4 gallons of gas left in the tank.
The slope of the equation will be
⇒ (12 - 4) / 4
⇒ 8 / 4
⇒ 2 gallons per hour
The equation for G representing the number of gallons of gas remaining in Jose's gas tank after t hours of driving will be
G = 12 - 2t
The equation for G representing the number of gallons of gas remaining in Jose's gas tank after t hours of driving will be G = 12 - 2t.
More about the linear equation link is given below.
https://brainly.com/question/11897796
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Tina is five years older than her brother Tom. The sum of their ages is 51 write an equation
Answers
T=age of Tina
Y= age of Tom
Work:
Y=5+T
T=28 yrs
Y=23
I’ll let I find the equation:)
x + 4x + 4 - 8x
please help
Answers
Answer:
The answer is -13x+4
Choose all numbers that are divisible by 2
Answers
Answer:
91066
32626
Are the only answers there
7th grade math help me plzzz
Answers
Answer:
[tex]b. \: \frac{1}{10} ......series[/tex]
Find a pair of numbers with
1. a sum of 40 and a product of 400
2. a sum of 15 and a product of 54
Answers
1. Those numbers would be, 20 and 20
20 + 20 = 40
20 x 20 = 400
2. Those numbers would be:
9 + 6 = 15
9 x 6 = 54
I hope this helps!!
Which set of ordered pairs does not represent a function?
\{(5, -6), (-1, -2), (2, -9), (-8, -2)\}{(5,−6),(−1,−2),(2,−9),(−8,−2)}
\{(-5, 7), (-4, -9), (-5, -4), (2, -6)\}{(−5,7),(−4,−9),(−5,−4),(2,−6)}
\{(-4, 2), (-2, 8), (-1, 6), (5, 6)\}{(−4,2),(−2,8),(−1,6),(5,6)}
\{(2, 2), (-4, 9), (9, -3), (-3, 2)\}{(2,2),(−4,9),(9,−3),(−3,2)}
Answers
Answer:
the 1st, 2nd, and 4th one because those ordered pairs, the y axis is the same . sooo thats what makes it a non function .
y=12x^2-9x+4 does this have one two or no solution
Answers
Find the slope of the line through the pair of points: (6,12) and (-6, -2)
Answers
Answer: The answer would be 1
Step-by-step explanation:
Rise over run or fall over run so the fall is 10 and run is 10 and 10/10 is 1.
domain: {4, 0} range: (-2, 0, 2}
b. domain: {4, 0, 4} range: (-2, 0, 2}
domain: (-2, 0, 2), range: {4,0}
d. domain: (-2, 0, 2), range: {4, 0, 4}
Answers
Answer:
C
Step-by-step explanation:
I need lots of help
Answers
Answer:
with what
Step-by-step explanation:
Evaluate the expression of X = 3
Answers
Answer:
x=3
Step-by-step explanation:
x=3, there is no formula or anything...
Waters added or drain from a tank each day the first day 13/10 of a gallon is added to the empty tank the second day 11/10 of a gallon is drained from the tank the third day 12/10 of a gallon is added to the tank the fourth day 1 gallon is drained from the tank the amount of water in the tank after 15 days is given by
Answers
Answer:
2 gallons
Step-by-step explanation:
You have to find the pattern of adding and draining water for 15 days. To get there you need to subtract 2 and add 1 but keep the negative/positives the same i.e. (this is for the 10ths of gallons)
13-2=11
11+1=10
keeping the pattern for 15 days:
+13, 11,+12,-10,+11,-9,+10,-8,+9,-7,+8,-6,+7,-5,+6 = 20 (10ths of gallons)
20/10 = 2
What is 0.22778 as a percentage
Answers
Answer:
22.778%
Step-by-step explanation:
0.22778/1*100/100=22.778/100
Tyler has 2 dogs and 7 fish. What is Tyler's ratio of fish to dogs?
Answers
Answer:
2:7
Step-by-step explanation:
Answer:
2:7
Easy.
Come on bro this is like one of the easiest questions in the world