In the given figure, x = 30°. What's the property of parallel lines used to find x? Question 6 options: A) Angles at the same side of the transversal are supplementary. B) Alternate interior angles are congruent. C) Alternate exterior angles are congruent. D) Corresponding angles are congruent.
Answers
Answer:
Option (C)
Step-by-step explanation:
Option A.
"Angles at the same side of the transversal are supplementary".
But the angles given are not on the same side of the transversal.
Option B.
"Alternate interior angle are congruent"
These angles are not the interior angles.
Option C.
"Alternate exterior angles are congruent"
Both the angles are alternate and exterior angles.
Therefore, Option (C) is the correct option.
Option D.
"Corresponding angles are congruent"
These angles are not the corresponding angles.
Answer:
C
Step-by-step explanation:
Related Questions
a triangle has side lengths g, h, and k. The relationship among the side lengths of this triangle is shown
The angle opposite side h = 45°.
The angle opposite side , h, = 45°.
The angle opposite side k = 90°.
The angle opposite side , k, = 90°.
The triangle is a right triangle.
The triangle is a right triangle.
The triangle is not a right triangle.
Answers
Emily completed 44% of the book that she is reading. If the book has 150 pages, how many pages has she read?
Answers
Answer:
66 pages
Step-by-step explanation:
0.44 x 150 number of pages = 66 pages
Answer:
66 pages
Step-by-step explanation:
44%of 150 =44 ×150 :100 =6600 :100 =66 pages has read
25) Norachai had some candy to give to his
three children. He first took five pieces for
himself and then evenly divided the rest
among his children. Each child received
five pieces. With how many pieces did he
start?
Answers
Answer:
30
Step-by-step explanation:
He took 5 pieces.
His children took 5 * 5 pieces = 25
The total is 5 + 25 = 30.
Slope -intercept from two points (-9,7) and (-6,-3)
Answers
Answer:
See image below.
Step-by-step explanation:
If a cube has a volume of 216 cubic inches, what is the length of one side?
Answers
Answer:
find the cube root of 216 to get the length of one side as you get the volume of a cube by length x length x length
Step-by-step explanation:
the the cube root of 216 is 6
so the length of one side is 6 inches
Length = cubic root of 216
= 6
Length= 6
Which expressions are equal to 0 when x = –1
Answers
-3/4 x 2/5 =? IN SIMPLEST FORM!!!! I mark BRAINLIESTTTTTT and im giving 35 POINTSSS PLEASE HELP ASAP
Answers
Answer:
[tex]-\frac{3}{10}[/tex]
Step-by-step explanation:
4 × 5 = 20-3 × 2 = -6Put -6 on top of 20: [tex]-\frac{6}{20}[/tex] Simplify by dividing each side by 2. It should now look like this: [tex]-\frac{3}{10}[/tex]I hope this helps!
Answer:
-0.75 x 0.4= -0.3 or -3/10
Step-by-step explanation:
-3/4 translates to -0.75 and 2/5 translates to 0.4
Identify the elementary row operation(s) being performed to obtain the new row-equivalent matrix. Original Matrix New Row-Equivalent Matrix 3 −1 −4 −5 3 8 3 −1 −4 4 0 −4 Add 3 times Row 2 to Row 1. Add 3 times Row 1 to Row 2. Multiply Row 2 by three. Multiply Row 1 by three. Interchange Row 1 and Row 2.
Answers
Answer:
Add 3 times row 1 to row 2 to obtain the new matrix
Step-by-step explanation:
Attached below is the solution
To obtain the new matrix we will add 3 times Row 1 to row 2
[tex]\left[\begin{array}{ccc}3&-1&-4\\-5&3&8\\\end{array}\right][/tex] original matrix
[tex]\left[\begin{array}{ccc}3&-1&-4\\4&0&-4\\\end{array}\right][/tex] New Matrix
Suppose that, in 2000, France produced 6.122 million pounds of wheat. The total world production that year totaled 176 million pounds of wheat. What percent of the world's total production of pounds of wheat is contributed by France? Round your answer to the nearest tenth. Use P/100=A/B
Answers
Answer: 3.5%
Step-by-step explanation:
given data:
france production in 2000 = 6.122million pounds of wheat.
world production = 176 million pounds of wheat.
Solution:
france contribution from the workd total production in year 2000.
= P/100 = A/B
= 6.122/176 * 100
= 3.5%
france percentage contribution to the world total in the year 2000 was 3.5% of the world total.
Two
pages
that face each other in a book have 343 as the sum of their page
numbers. What is the number of the page that comes first?
Answers
Answer:
171
Step-by-step explanation:
I divided 340 first and got 170 for each page number then I had 3 left over.
I added 1 to 170 and got 171 the I added the left over 2 to the other 170 and got 172.
So the first page number should be 171 :)
I hope this helped you understand :)
The number of page that comes first is 171.
It is given that in a book two pages that face each other have sum of 343 of their page numbers.
We have to find out what will be the number of page that comes first.
What will be the value of x , if x + (x + 2 ) = 18 ?
The value of x will be equal to ; 2x + 2 = 18 or 2x = 16 or x = 16 ÷ 2 or x = 8.
As per the question ,
In a book sum of two pages that face each other = 343
Let's assume that the page which comes first will be have page number x.
So,
x + (x + 1) = 343
2x + 1 = 343
2x = 342
x = 342 ÷ 2
x = 171
The other page will have number :
= x + 1
= 171 + 1
= 172
Thus , the number of page that comes first is 171.
To learn more about algebraic expression click here ;
https://brainly.com/question/26479183
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The octane rating of gasoline is the percentage of isooctane in the fuel. For example, 89-octane gasoline contains 89% of isooctane. How many liters of 88-octane gasoline should be mixed with 100 liters of 95-octane gasoline to get a mixture which is 93-octane gasoline ?
Answers
Answer:
40 liters of 88-octane gasoline should be mixed
Step-by-step explanation:
Here in this question, we are interested in calculating the number of liters of 88-octane gasoline that should be mixed with 100 liters of 95-octane gasoline to get a mixture of 93-octane gasoline.
Since we do not know the number of liters, we can represent it by x
This means that the total number of liters of the 93-octane gasoline we are looking at producing is (100 + x) liters.
Thus, if we multiply the number of liters of each gasoline type by their isooctane content and add together, we will obtain the product;
Hence;
88(x) + 100(95) = 93(100 + x)
88x + 9500 = 9300 + 93x
93x -88x = 9500-9300
5x = 200
x = 200/50
x = 40 liters
Jackson says he has an odd number of models cars. He has 6 cars on one shelf on one shelf and 8 cars on another shelf.is Jackson correct?explain.
Answers
Answer:
No he isnt correct,
Step-by-step explanation:
in total, 6+8 is 14 and 14 is divisible by 2, anything divisible by two is basically even, not odd.
If you can buy 2 quarts of ice cream for $3, how much ice cream do you get per dollar? 2/3 of a quart of ice cream O 1 quart of ice cream 0 1 and a half quarts of ice cream 1 and 1/3 quarts of ice cream
Answers
Answer:
C
Step-by-step explanation:
3 divided by 2 = 1 and 1/2
50 points!!!! plz i need help!!! what is 3x^-4(8x+12x) simplified??
Answers
Answer:
60
x^3
Step-by-step explanation:
3x^-4 (8x + 12x)
apply exponential rule:
= 3 * 1/x^4 *(8x + 12x)
add similar elements
= 3 * 20 * (1/x^4) x
multiply fractions:
= 1 * 3 * 20x
x^4
simplify:
= 60x
x^4
finally = 60
x^3
Collect like terms
3x^-4×(8x+12x)
Calculate=3x^-4 * 20x
Solving Further=60x^-3
Express with a positive exponent=60 * 1/x^3
Solution[tex] \frac{60}{ x {}^{3} } [/tex]
What is the value of this expression 18+3(10-2)
Answers
Answer:
42
Step-by-step explanation:
First subtract 10 by 2
18+3(8)
Now multiply 3 and 8
18+24
now add 18 and 24
18+24=42
Hope this helps! : )
Liam answered 100 questions correctly on his multiple choice math final that had a total of 200 problems. What percentage of questions did Liam answer correctly on the final exam?
Answers
Step-by-step explanation:
50 % because he answered half of the questions correctly
Answer:
50%
Step-by-step explanation:
divide 100 into 200 then multiply by 100 to get your percentage.
This year, Carlos planted 6 more than one-third of the cucumber plants he planted last year. How many plants did he plant this year if last year he planted 12 plants?
Answers
Answer:
10
Step-by-step explanation:
He planted 12 plants last year
1/3 (12) + 6 is what he planted this year
1/3 of 12 = 4
4+6 = 10
Answer:
THE ANSWER IS 10
Step-by-step explanation:
He uses a scale of 0.5 centimeter to 1 inch to draw the flag. The length of the scale drawing is 2.5 centimeters, and its width is 4.75 centimeters.
Answers
The scale is
0.5 cm = 1 inch
Multiply both sides by 2 to get
1 cm = 2 inches
To convert from the scale drawing to the actual dimensions, we will multiply by 2.
The scale length is 2.5 cm, which converts to 5 inches after multiplying by 2.
The scale width is 4.75 cm which converts to 9.5 inches after multiplying by 2.
The 2.5 cm by 4.75 cm flag on paper corresponds to a 5 inch by 9.5 inch flag in real life.
Does anybody know this?
Answers
Answer:
23
Step-by-step explanation:
So you want to add 7x degrees and (x-4) degrees. And it will be 8x - 4 = 180 degrees because it's 180 degrees in a straight line. And you want to + the 180 by 4 because there is -4 on the other side. so it will be 8x = 184 and you just divide 184 by 8 and it will be 23 easy. if you want to my help again you can text me on instargram jason_lee093
How many more cherry pies have 606060 to 898989 cherries than 909090 to 119119119 cherries? 4 5 6 8 9 10 11 13 iqr helppppp please
Answers
Marcus can buy 0.3 pound of sliced meat from a deli for $3.15. How much will 0.7 pound of sliced meat cost.
Answers
Answer:7.35
Step-by-step explanation:
For all the problems in this assignment you must enter your answers as a fraction or a product of fractions. For example, if your answer is 4/52 * 3/51 or 1 - 13/52 * 12/51, leave it in that form using * to indicate multiplication and ^ to indicate raising a number to a certain power. (eg. (5/6)^3 means 5/6*5/6*5/6 or (5/6)3.) a. Draw 2 cards with replacement. What is the chance that the first is a heart and the second is a heart
Answers
Answer:
13/52 * 12/51
Step-by-step explanation:
Given the question :
Probability of drawing two hearts from a card deck when picked without replacement :
Number of cards in deck = 52
Number of hearts in card deck = 13
Probability = required outcome / Total possible outcomes
First pick (p1) :
P(picking a heart) = 13 / 52
Second pick ( without replacement) (p2):
P(picking a heart) = 12 / 51
Hence,
P(heart on first and Second pick) :
P1 × P2
= 13/52 * 12/51
plzzzzz helppppp meeeee plzzzzz
Answers
2. +12
3. -32
2 negatives make a positive unless there’s a “()” around it
Answer:
dont let the () bother you its literaly 7+5 then slap a "-" on your answer
When converting measurements in the metric system, you can move the decimal point to the left or right, select all that apply?
Answers
Answer:
Ayo boys it a, c, and d
Step-by-step explanation:
Answer: a,b,c
Step-by-step explanation:
6z=3(z+8) solve for z
Answers
Answer:
z = 8
Step-by-step explanation:
First, distribute:
6z = 3z + 24
Then, we subtract 3z on both sides:
3z = 24
Finally, we divide 3 on both sides:
z = 8
Hope this helps ^^
Answer:
8
Step-by-step explanation:
First distribute the 3 inside the parenthesis.
6z=3z+24
Subtract 3z to both sides
3z=24
Divide each side by 3
z=8
Do y’all know what this one is I’m kinda struggling
Answers
Answer:
A. 2^20/3^8
Step-by-step explanation:
Hope this helped, have a good day <3
Answer:
2 20
3 8
Step-by-step explanation:
you times the exponent on the inside to the exponent on the outside
Nathan caught 12 purple butterflies. Jordan caught 'n' purple butterflies. Nathan and Jordan caught a total of 25 purple butterflies. How many purple butterflies did Jordan catch?
25 + n =12
12 -25 =n
12+25-n
12+n=25
Answers
Answer:
jordan caught 13 butterflies
Step-by-step explanation:
25-12=13
14
Step-by-step explanation:
start at 12 the count to 25 on your fingers
. A hotel elevator is on the 14th floor. If it goes up 5 floors, then goes down 8 floors, what floor is it now on?
Answers
Give the vertex form and factored form of f(x)=x^2-12x+35.
What specific information does
each form provide?
Answers
Answer:
f(x)=(x-5)(x-7)
(x-6)²-1²
Step-by-step explanation:
Given:
Equation:
f(x)=x²-12x+35
Find:
Factories
Vertex form
Computation:
Factories
f(x)=x²-12x+35
f(x)=x²-(5+7)x+35
f(x)=x²-5x-7x+35
f(x)=x(x-5)-7(x-5)
f(x)=(x-5)(x-7)
So,
x = 5 , x = 7
Vertex form
By middle term divide by 2
12/2 = 6
So,
x²-12x+6²+35-6²
(x-6)²-1²
A waitress sold ribeye steak dinners and grilled salmon dinners, totaling $ on a particular day. Another day she sold ribeye steak dinners and grilled salmon dinners, totaling $. How much did each type of dinner cost?
Answers
Answer:
ribeye steak: $24.37grilled salmon: $9.30Step-by-step explanation:
If we let r and g represent the costs of a ribeye steak dinner and grilled salmon dinner, respectively, the sales figures give rise to two equations.
17r +15g = 553.74
22r +5g = 582.65
If we multiply the second equation by 3 and subtract the first, we have ...
3(22r +5g) -(17r +15g) = 3(582.65) -(553.74)
49r = 1194.21
r = 1194.21/49 ≈ 24.37
g = (553.74 -17r)/15 ≈ 9.30
The steak dinner costs $24.37; the salmon dinner costs $9.30.
_____
Check
17(24.37) +15(9.30) = 553.79 . . . not 553.74
22(24.37) +5(9.30) = 582.64 . . . not 582.65
There is no exact solution to this problem.
Answer:
R=cost of rib-eye dinner; S=cost of salmon dinner
24R+10S=$580.66
10S=$580.66-24R
20S=$1161.32-48R Use this to substitute for 20S below
17R+20S=$590.81 . Substitute for 20S.
17R+($1161.32-48R)=$590.81
-31R=-$570.51
R=$18.40
ANSWER 1: Rib-eye dinner costs $18.40.
Step-by-step explanation:
24R+10S=$580.66
24($18.40)+10S=$580.66
$441.60+10S=$580.66 441.69
10S=$139.06
S=$13.91
ANSWER 2: A salmon dinner costs $13.91.
CHECK:
17R+20S=$590.81
17($18.40)+20($13.91)=$590.81
