1. If two parallel lines are cut by a transversal, then alternate interior angles are congruent
2. If two parallel lines are cut by a transversal, then corresponding angles are congruent
3. If two parallel lines are cut by a transversal, then alternate exterior angles are congruent
4. If two parallel lines are cut by a transversal, then complementary angles are congruent
the following are my reminders in using this module
By the property of alternate interior angles, Option (1) is the correct statement.
From the figure attached,
∠XWY ≅ ∠ZYWProperty of the alternate angles states, if two parallel lines are cut by a transversal, then the alternate angles are congruent.
By this property,
Lines XW and YZ are the parallel lines intersected by a transversal WY.
Here, ∠XWY and ∠ZYW represent the interior angles between the parallel lines and the transversal.
Therefore, interior alternate angles ∠XWY and ∠ZYW will be congruent.
Hence, Option (1) will be the correct option.
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Step-by-step explanation:
What's Yo Question ?
Solve the following equation for A. Be sure to take into account whether a letter is capitalized or not. b=f^2A+2HA
Answer:
A = [tex]\frac{b}{f^2+2H}[/tex]
Step-by-step explanation:
Given equation is,
b = f²A + 2HA
To solve this equation for the value of A we will isolate A in one side of the equation.
b = A(f² + 2H)
By dividing the equation by (f² + 2H) on both the sides of the equation.
[tex]\frac{b}{f^2+2H}=\frac{A(f^2+2H}{(f^2+2H)}[/tex]
A = [tex]\frac{b}{f^2+2H}[/tex]
Therefore, answer will be A = [tex]\frac{b}{f^2+2H}[/tex]
#1. Jerry added sprinkles to
13 out of 25 cupcakes. Write
the equivalent amount of
sprinkled cupcakes as a
decimal.
Answer: 0.52
Step-by-step explanation:
hope this helps
Is numbers 9 and 10 correct ??!!
For number 9 I put : -2
For number 10 I put : 5/4, 4/5 , .75, 1.4, -5.8
Answer:
the answers are -2 and -5.8, 0.75, 4/5, 5/4, 1.4
Step-by-step explanation:
What is the ratio of 3 inches to 20 feet
Answer:
1/80
Step-by-step explanation:
Answer:
3 inches is 1/4th of one foot so to 20 ft is 1/80th
Step-by-step explanation:
Remember, 12 in.=1 FT
Hope this helps
;)
It costs $5 to buy 2 pounds of fish tank gravel. What is the unit rate in dollars per pound? Answer Questions were confusing so i changed it to a decimal!
It costs $5 to buy 2 pounds of fish tank gravel. What is the unit rate in dollars per pound? A.$2.50 per pound B.$0.40 per pound C.$3.00 per pound D.$2.00 per pound
Answer:
A
Step-by-step explanation:
The total cost of a shopping trip was $123.35? Layla bought 4 skirts and a pair of shoes for $35.67. Which equation can be used to find the price of each skirt?
A. 123.35 = 35.67x +4
B. 35.67 = 123.34x + 4
C. 35.67 = 4x + 123.34
D. 123.35 = 4x + 35.67
Answer: D
Step-by-step explanation: The 4 skirts cost are unknown which makes up the 4x and the extra pair of shoes adds on to the cost by 35.67.
What is the error in this problem?
Which equation represents a line that passes through -2,4 and has a slope of 2/5 need help Now
Answer:
y = 2/5x + 24/5
Step-by-step explanation:
y - 4 = 2/5(x - (-2))
y - 4 = 2/5(x +2)
y - 4 = 2/5x + 4/5
y = 2/5x + 4/5 + 4
y = 2/5x + 24/5
it took Jose two-third of an hour to complete his math homework on monday three fourths of an hour on tuesday and two-fifths of an hour on wednessday. how many hours did it take Jose to complete his homework altogether?
He spent 1 49/60 total hours on his homework altogether
#53. Which set is an example of like fractions?
7/4 and 4/7
10/10 and 5/5
1/2 and 3/2
d) 2/1 and 2/3
Answer: 1/2 and 3/2
Step-by-step explanation:
Like fractions have the same denominator
Please hurry.
Simplify completely.
(2 + 3i)+(-4+1)
A. 2+4i
B. 6+4i
C.-2+2i
D. 6+2i
E. -2+4i
Answer:
3i-1
Step-by-step explanation:
2+3i-3
3i-1
Answer:
-1 + 3i.
Step-by-step explanation:
Hope this helps!
During the first 3 week of training, a runner runs 20 miles, 22 miles, and 21 miles. How many more miles must she run during the fourth week to have a mean of a least 22 miles per week?
Answer:
25
Step-by-step explanation:
mean = SUM/#of values
(20+22+21+x)/4=22
solve for x
x=25
A mathematical phrase containing at least one variable.
Which is bigger 9 to the 27th power or 3 to the 81 power
Find the sum of -9X + 13 and -16x - 6
A.-25x +7
B. 25x -7
C.-25x-7
D.25x+7
Answer:
A. -25x + 7
Step-by-step explanation:
First, to answer this question, we will combine the two sides of the equation:
(-9x + 13) + (-16x - 6)
Now, we take away the parentheses and add like terms:
-9x + 13 + -16x - 6 =
-25x + 7
So, the answer would be A. -25x + 7
Hope this helps :)
Consider the figure shown
Answer:
x = 60 degrees
Step-by-step explanation:
In a triangle, all the inside angles should add up to 180 degrees, so to get this question, we have to add the angles we know and then subtract 180 by the number we get:
68 + 52 = 120
180 - 120 = 60
So, x = 60 degrees
Hope this helps :)
5 and (-5) are a zero pair. ture False
Answer:
true
Step-by-step explanation:
when you put them together you get 0
PLEASE HELP ASAP
Is the function y=x- 5/4 linear or nonlinear
Answer:
Linear
Step-by-step explanation:
y=x-5/4 is a linear equation.
Select the correct answer. Which number is a zero of h(x) = (x2 − 81)(x + 4)
A. 0
B. 4
C. 9
D. 81
Answer:
9 is a zero of h(x). C. Correct
Step-by-step explanation:
We want to find the zeros of the function
[tex]h(x) = (x^2 - 81)(x + 4)[/tex]
The zeros are the values of x that make h(x)=0, thus we need to solve the equation:
[tex](x^2- 81)(x + 4)=0[/tex]
Factoring:
[tex](x^2 - 81)=(x-9)(x+9)[/tex]
[tex](x-9)(x+9)(x + 4)=0[/tex]
This equation has 3 solutions:
x=9, x=-9, x=-4
A. 0 is not a zero of h(x). Incorrect
B. 4 is not a zero of h(x). Incorrect
C. 9 is one of the zeros of h(x) calculated above. Correct
D. 81 is not a zero of h(x). Incorrect
Answer:
C) 9
Step-by-step explanation:
I had this question on a recent test and I got it right
I hope this helps! :)
-4 (-3x-2)+4=60 can you help me plz
2/3 of the people in the group came in blue cars and 1/8 of them came in red cars they were 48 people in the group so how many people came in red or blue cars
Answer:
32 people came in blue cars and 6 people came in red cars
Step-by-step explanation:
Technically, all 48 people came in red or blue cars, but I'm assuming that's not what the question is asking.
To find how many people came in blue cars, we do 2/3*48 which is equal to 32 people.
To find how many people came in red cars, we do 1/8*48 which is equal to 6 people.
Answer: 13
And i hope this helps.
An auto mechanic earns $498.75 in 35 hours during the week. His pay is $2.50 more per hour on weekends. If he works 6 hours on the weekend in addition to 35 hours during the week, how much does he earn?
Answer:
$513.75
Step-by-step explanation:
An auto mechanic earns $498.75 in 35 hours during the week. His pay is $2.50 more per hour on weekends.
$498.75 + $2.50 × x
If he works 6 hours on the weekend in addition to the 35 hours during the week:
$498.75 + $2.50 × 6
= $498.75 + $15
= $513.75
The graph shows the proportional relationship of the cost of a movie ticket using the graph determine the constant of proportionality, k
Answer:
Where is the graph???
Step-by-step explanation:
Can someone send the answers to these
Answer:
1) 2 square root 17
2) 3 square root 10
3) 3 square root 15
Step-by-step explanation:
your welcome :) my apologies, I could not write the square root symbol.
HELP HELP HELP HELP!!!
Answer:
If Kasey bought one drink, she will be able to buy 6 food items
Step-by-step explanation:
We know Kasey has $8 and if she bought one drink, she will have $7.5
We have to find how many food items she can buy (all of them are $1.25)
$7.5/1.25= 6 food items
If Kasey bought one drink, she will be able to buy 6 food items
Hope this helps!
Answer:
6 items
Step-by-step explanation:
8.00 - 0.50 = 7.50
She has $7.50 to spend on food after buying one drink
7.50 ÷ 1.25 = number of food items she can buy
7.50 ÷ 1.25 = 6
Solve. -23 = -2a -10 + a
Answer:
13
Step-by-step explanation:
1. Collect like-terms
-23=-a-10
2.Isolate variable
-13=-a
a=13
Answer:
A=13
Step-by-step explanation:
-23=-2a-10+a
add 10 to -23 which is now
-13=-2a+a
now add -2a and a together to get -1a
-13=-1a
divide -1 into both sides to get
13=a
find surface area please
Answer:
203
Step-by-step explanation:
When calculating surface area, you add the area of each side.
Base: LxW = 7x7 = 49
Triangle Sides: 1/2 b x h = 1/2(7) x 11 = 38.5
4 sides: 38.5x4 = 154
154+49 = 203
g In 2013, the Pew Research Foundation reported that 43% of U.S. adults report that they live with one or more chronic conditions. However, this value was based on a sample, so it may not be a perfect estimate for the population parameter of interest on its own. The study reported a standard error of about 1.7%, and a normal model may reasonably be used in this setting. Create a 95% confidence interval for the proportion of U.S. adults who live with one or more chronic conditions. Report your answer as a percentage rounded to 3 decimal places. We are 95% confident that the true proportion of U.S. adults who live with one or more chronic conditions is between % and % Submit All Parts Question 6
Answer:
We are 95% confident that the true proportion of U.S. adults who live with one or more chronic conditions is between 39.7% and 46.33%
Step-by-step explanation:
From the question we are told that
The sample proportion is [tex]\r p = 43\% = 0.43[/tex]
The standard error is [tex]SE = 0.017[/tex]
Given that the confidence level is 95% then the level of significance is mathematically represented as
[tex]\alpha = (100-95)\%[/tex]
=> [tex]\alpha = 0.05[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 1.96[/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * SE[/tex]
=> [tex]E = 1.96 * 0.017[/tex]
=> [tex]E = 0.03332 [/tex]
Generally 95% confidence interval is mathematically represented as
[tex]\r p -E < p < \r p +E[/tex]
=> [tex]0.43 -0.03332 < p < 0.43 + 0.03332[/tex]
=> [tex] 0.39668 < p < 0.46332[/tex]
Converting to percentage
[tex] (0.39668 * 100)< p < (0.46332*100)[/tex]
[tex] 39.7\% < p < 46.33 \%[/tex]