In the picture lines AB and CD are parallel. Find the measures of
the following angles. Explain your reasoning.
F
E
D
В.
38 A.
1. BCD
2. ZECF
3. ZDCF
Answers
Answer/Step-by-step explanation:
1. <ABC and <BCD are alternate interior angles. Alternate interior angles are equal, therefore, since m<ABC = 38°, then m<BCD = 38°
2. m<ECF = m<BCD (corresponding angles)
m<ECF = 38° (substitution)
3. m<DCF + m<ECF = 180° (linear pair)
m<DCF + 38° = 180° (substitution)
m<DCF = 180° - 38° (Subtraction property of equality)
m<DCF = 142°
Related Questions
The shop sold 12,789 chocolate and 9,324 cookie dough cones. It sold 1078 more peanut butter cones than cookie dough cones. And 999 more vanilla than chocolate cones. What was the total number of ice cream cones sold?
Answers
Answer:
46,303
Step-by-step explanation:
12789+9324+9324+1078+12789+999= 46,303
The total number of ice-cream sold was 46,303 as the shop sold 12,789 chocolate and 9,324 cookie dough cones. It sold 1078 more peanut butter cones than cookie dough cones that means 10,402 peanut butter cones and 999 more vanilla than chocolate cones that means 13,788 vanilla cone.
What is total?Total refers to an entire or complete amount, and the verb "to total" means to combine two numbers or to destroy something. In mathematics, you add numbers to get the total; the outcome is the total. The result of adding 8 and 8 is 16. A total is the sum of several numbers or the number of items in a group, as determined by addition or counting. Total is referred to as the total or overall sum. The final amount for dinner on a check serves as an illustration of a total.
Here,
number of chocolate cone=12,789
number of cookie dough cone=9,324
peanut butter cone=9,324+1,078=10,402
vanilla cone=12,789+999=13,788
Total sum= number of chocolate cone + number of cookie dough cone+ peanut butter cone+ vanilla cone
=12,789+9,324+10,402+13,788
=46,303 ice-cream cones
The shop sold 12,789 chocolate and 9,324 cookie dough cones, for a total of 46,303 scoops of ice cream. It sold 999 more vanilla than chocolate cones, which translates to 13,788 vanilla cones, and 1078 more peanut butter than cookie dough cones, or 10,402 peanut butter cones.
To know more about total,
https://brainly.com/question/14306809?referrer=searchResults
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2x•(-3x)+5•(2x²)-x•x=
??
Answers
Answer:
Step-by-step explanation:
Round to the nearest ten 218,487=
Answers
Answer:
218,490.
-BBBM
218490
In order to finish this, you just round up the 7 to the nearest tenth (up) to 90
The science club charges $6.50 per car at their car wash. How many cars do they have to wash to earn at least $500?
Answers
Answer: 77 cars
Step-by-step explanation: 6.50 * 77 = 500.5
6. Joann needs $100 for a class trip. She has already saved $44. She sells
jean passes for $5 each. Which equation shows how many jean passes she
will need to sell?
A) 100 = 5x - 44
B) 100 = 5x + 44
C) 100 = -5x + 44
D) 100 = -5x + (-44)
Answers
Answer:
C
Step-by-step explanation:
Hope this helps :)
Brainest pls?
Answer:
answer c I took it got 100%
Reciprocal of 12 1/3
Answers
Answer:
3 1/12
Step-by-step explanation:
Twelves reciprocal is 1/12 and 1/3s reciprocal is 3.
Answer:
3/37
is your answer
please mark as the brainliest (ㆁωㆁ)
What’s the slope for (15,8) (10,7)
Answers
Answer:
[tex]\frac{1}{5} = 0.2[/tex]
I hope this helps!
Ariana needs to rent a car while on vacation. The rental company charges $18.95, plus 16 cents for each mile driven. If Ariana only has $40 to spend on the car rental, what is the maximum number of miles she can drive?
Ariana can drive a maximum of
miles without the cost of the rental going over $40.Round your answer to the nearest mile.
Answers
Answer:
Ok simple Algebra Question:
Let "x" be the number of miles she drives.
18.95 + 0.16x = 40.00
Subtract 18.95 from both sides.
0.16x = 21.05
Divide both sides by 0.16
You get:
x = 131.5625
Round to nearest mile:
Answer is: 132
8.5 x 103 - 5.3 x 103 -1.0 x 102
Answers
The distance between two points is √39 One endpoint is (4,−3). It is known that the y-coordinate of the other endpoint is 2.
What is the x-coordinate of this endpoint?
Answers
Answer:
[tex](4-\sqrt{14}, 2)\text{ or } (4+\sqrt{14}, 2)[/tex]
Step-by-step explanation:
We have the two points: (4, -3) and (x, 2).
We know that the distance between them is √39.
To find our x-coordinate of the second point, we can use the distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]
Let (4, -3) be (x₁, y₁) and let (x, 2) be (x₂, y₂). We also know that the distance d is √39. Substitute:
[tex]\sqrt{39}=\sqrt{(x-4)^2+(2-(-3))^2[/tex]
Solve for x. First, let's square both sides. This cancels out the square roots:
[tex]39=(x-4)^2+(2+3)^2[/tex]
Evaluate the second term on the right:
[tex]39=(x-4)^2+(5)^2[/tex]
Square:
[tex]39=(x-4)^2+25[/tex]
Subtract 25 from both sides:
[tex]14=(x-4)^2[/tex]
Take the square root of both sides. Since we're taking an even root, we need plus/minus. So:
[tex]x-4=\pm\sqrt{14}[/tex]
Add 4 to both sides:
[tex]x=4\pm\sqrt{14}[/tex]
Therefore, there exists two possibilities for our second point. It can either be:
[tex](4-\sqrt{14}, 2)\text{ or } (4+\sqrt{14}, 2)[/tex]
And we're done!
The ratio of cows to chickens on Jack's farm is 3:5. Choose ALL correct statements that describe this relationship.
Answers
The quotient of the difference of 5 times x cubed and 4 and x
Answers
Answer:
[tex] \frac{5x {}^{3} - 4 }{x} [/tex]
write a verbal expression for x + y
Answers
Simplify to zero answers.
Answers
Mya reads 20 books a year. She just won a ticket to Disney Land, and they ask Mya what percentage of books she reads a month, what percentage of books did Mya read in a month?
Answers
Answer:
15%
Step-by-step explanation:
If (-8, 3) is reflected across the x-axis the new point would be
Answers
Answer:
(-8, -3)
Step-by-step explanation:
Solve for p.
p - 9 > 9 or p + 10 = 10
Answers
Answer:
I don't think it's suppost to be an equal sign but this is what i got
Part b at the airport to walk from the car to the waiting area by the gate was
Answers
Answer:
24
Step-by-step explanation:
Answer:
24
Step-by-step explanation:
Suppose we want to choose 6 letters, without replacement, from 12 distinct letters
Answers
Mike sold half of his comic books and then bought 8 more. He now has 18. How many did he begin with?
Answers
Answer: 20
Step-by-step explanation:
Answer:
20.
Step-by-step explanation:
If he sold half of them, bought 8 more, and now has 18, he had 20 to begin with.
Express the shaded area as a fraction, a decimal, and a percent of the whole.
Answers
Decimal .5
Percent 50%
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Fraction :
[tex] \frac{1}{2} \\ [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Decimal :
[tex]0.5[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Percent : 50 %
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Find the difference (-5) - 6
Answers
Answer:
-11
Step-by-step explanation:
a scientist performs an experiment in which he begins with 45.9 grams of reactants. assuming he does not lose any because of spilling of error, what should be the mass of his product at the end of the reaction?
Answers
Answer:
45.9 grams of product
Step-by-step explanation:
you should never end up with more products or less products than reactants
Children’s Fever Medicine
(given every 4–6 hours, as needed)
Weight 24+ lbs 36+ lbs 48+ lbs 60+ lbs 72+ lbs
Dosage 5 mL 7.5 mL 10 mL 12.5 mL 15 mL
a) Evaluate the data and find the rate of change from one age group to the next. Explain how you found the rate of change. (2 points)
Answers
Answer:
The rate of change would be 50
Step-by-step explanation:
The graph with weight is going by 12 in each so an example would be 24 and 36 is going by 12 like the graph. and the dosage is going by 2.5 an example would be 5 and 7.5 witch is going by 2.5
Taylor uses 32 buttons for every 4 blouses she sews.
What is the ratio of blouses to buttons?
Answers
Answer:
1:8 , 1/8
Step-by-step explanation:
4 blouses / 32 buttons
= 1 blouse / 8 buttons
(4 and 32 share a GCF of 4)
Answer:
I think it would be 1 to 8
Step-by-step explanation:
32 divided 4 equals 8. So for every 1 blouses she uses 8 buttons. So the ratio would be 1( blouse )to 8(buttons).
Rearrange the equation A = xy to solve for x.
x equals y over A
x equals A times y over x
x equals A times x over y
x equals A over y
Answers
You divide the y from both sides
The y on the right cancels
On the left you have A/y = x
Answer:
X=A/Y
Step-by-step explanation:
just did it
HEY YOU, YES YOU, PLEASE HELP ME ASAP!!
Answers
Pls mark brainliest
HELP ME PLS
Which of these figures has rotational symmetry?
Answers
Answer:
A
Step-by-step explanation:
When you rotate the shape it will be the same as it was before .
Round 62394 to the nearest
Answers
Answer:
63000 or 62400. Didn't specify whether to the thousandth or hundredth
will give brainliest
Help
Question 1:
Which of the following expressions are equivalent to −3.5(2 − 3n) − 2.5n?
A. −7 − 8n
b. −7 − 13n
c. −7 − n(10.5 − 2.5)
d. . −7 + n(10.5 − 2.5)
Answers
Answer:
A is your correct answer
Step-by-step explanation:
Expand -3.5(2-3n): -7+10.5n
=-7+10.5n-2.5n
Add similar elemnts: 10.5n-2.5n=8n
=-7-8n