In the figure, m and n are rays. Which statements are true? Select each correct answer.
A: m∠3=m∠1
B: m∠2=60°
C: m∠1=60°
D: m∠3=120°
Answers
B is correct because there are 180 degrees in a triangle. 180-65-55 = 60. Angle 2 is vertical to the third angle, so angle 2 equals 60.
C is incorrect because it is an exterior angle. Exterior angles are equal to the sum of the two isolated interior angles. 65 + 55 ≠ 60.
D is correct because 3 is an exterior angle. Exterior angles are equal to the sum of the two isolated interior angles. 65 + 55 = 120.
In review, A, B, and D are correct.
I hope this helps you =)
The statements that are true about the intersecting rays are
A) m∠3 = m∠1
B) m∠2 = 60°
D) m∠3 = 120°
What are the angles formed by 2 intersecting lines?Two straight lines that intersect at the same location are said to be intersecting lines. The junction point is the place where two intersecting lines meet. Four angles are created when two lines cross. The four angles added together always equal 360 degrees.
Perpendicular lines are two straight lines that intersect and form right angles. When two perpendicular lines intersect, they form four right angles.
When lines intersect, two angle relationships are formed:
Opposite angles are congruent
Adjacent angles are supplementary
Given data ,
Let the two intersecting lines be m and n
Now , the angles formed are shown in the diagram
where the measure of ∠1 = ∠3 ( Opposite angles are congruent )
Now , the measure of ∠2 = 180° - ( 65° + 55° ) ( angles in a triangle = 180° )
The measure of ∠2 = 60°
So , the measure of ∠3 = 180° - ∠2 ( Adjacent angles are supplementary = 180° )
And , the measure of ∠3 = 120°
Hence , the angles in the intersecting lines are solved
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Related Questions
Which box-and-whisker plot best represents the data?
34, 36, 38, 40, 45, 45, 48, 50, 52, 60
Answers
The box-and-whisker plot which best represents the data is graph A
What is box plot?A box and whisker plot, often known as a box plot, shows a data set's five-number summary. The minimum, first quartile, median, third quartile, and maximum make up the five-number summary.
A box is drawn from the first quartile to the third quartile in a box plot. At the median, a vertical line passes through the box.
It is used when showing the distribution of data points across a selected measure and if the box in a box plot is stretched in one direction or the other, then the data is skewed in that direction.
Given data ,
Let the data of the box plot be represented as A
Now , the value of A is
A = 34, 36, 38, 40, 45, 45, 48, 50, 52, 60
So , the median of the data is given by
M = ( 45 + 45 ) / 2
M = 45
Now , the box plot which represents the median at 45 is graph A
Hence , the box plot is solved
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If the measure of angle H is 64°, which angles in the diagram have a measure of 116°?
There should be more than 1 answer
A) Angle G
B) Angle F
C) Angle B
D) Angle A
E) Angle E
F) Angle C
G) Angle D
Answers
There are 64 cookies in a jar. The probability of randomly choosing an oatmeal cookies from the jar in 37.5%. How many of the cookies are not oatmeal cookies
Answers
Paige has a membership to a new website. It costs $5 a month and then each song costs $0.10 to purchase. Write and equation using S to represent the number of songs that she purchased if she spends $8.20 one month. How many songs did she buy?
Answers
HELP PLZ ASAP!!!!!!!!!!!
THX
Answers
In a certain country, a letter up to 1 ounce requires postage in the amount of $0.42, and each additional ounce (or fraction of an ounce) has an additional cost. The function below represents the cost of mailing one letter in this country.
f(c)=0.42 + 0.20[x-1]
Josiah has two letters. The first weighs 2.9 ounces, and the second weighs 4.1 ounces. What is the total amount Josiah can expect to pay for postage?
$1.62
$1.64
$1.84
$2.04
Answers
Answer:
Total amount Josiah can expect to pay for postage is:
$ 1.84
Step-by-step explanation:
cost of mailing one letter in the country is:
f(x)=0.42 + 0.20[x-1]
The first weighs 2.9 ounces, and the second weighs 4.1 ounces.
Cost of mailing first letter=0.42+0.20(2.9-1)
=0.42+0.38
=$ 0.8
Cost of mailing second letter=0.42+0.20(4.1-1)
=0.42+0.62
=$ 1.04
total cost=$(0.8+1.04)
=$ 1.84
Hence, total amount Josiah can expect to pay for postage is:
$ 1.84
Can someone see if I did this right I got 8937.5
Answers
Perform the operation 8 1/2 + 5 1/8
Answers
Here is your answer:
The proper answer to this question is option "[tex] \frac{109}{8} [/tex]
Reason:
First write down the equation:
8[tex] \frac{1}{2} [/tex]+5[tex] \frac{1}{8} [/tex]
Transform the mixed numbers into improper fractions.
8 [tex] \frac{1}{2} [/tex]=[tex] \frac{17}{2} [/tex]
&
5 [tex] \frac{1}{8} [/tex]= [tex] \frac{41}{8} [/tex]
Now add:
17×4=68
2×4=8
+
41×1=41
8×1=8
68+41=109
=[tex] \frac{109}{8} [/tex]
Therefore the answer would be 109/8!
If you need anymore help feel free to ask me!
Hope this helps!
~Nonportrit
Jasmine paid 25 for two binders and pack of pens the pack of pens costs 5 what is an equation you can use to find the price of each binder!
Answers
ΔDEF rotates 90° clockwise about point A to create ΔD 'E 'F. Therefore, which equation must be true? m∠DEF = m∠D 'F 'E '
Answers
Final answer:
The equation m∠DEF = m∠D'F'E' must be true following a 90° clockwise rotation of ∆DEF, because rotations preserve angle measures.
Explanation:
When a geometric figure such as ∆DEF is rotated 90° clockwise about a point A, to create ∆D'E'F, corresponding angles in the two triangles will be equal. This is true because a rotation is a type of rigid motion, which preserves angle measures. The equation m∠DEF = m∠D'F'E' must be true because the angle at F in the original triangle ∆DEF becomes the angle at E' in the rotated triangle ∆D'E'F, given the preservation of angle measures through rotation.
Therefore, for such geometric transformations, it's crucial to understand that rotations do not alter the internal angles of the shape being transformed, which is consistent with the rules of plane geometry. This principle is useful in solving many problems that involve the rotation of figures within a plane.
30kx-6kx=8 solve for x
Answers
Answer:
1/3k
Step-by-step explanation:
30kx -6kx=8
We can operate the two terms in left because they are similar
24kx = 8
We divide by 8 both sides
3kx = 1
Finally, we divide by 3k both sides
x = [tex]\frac{1}{3k}[/tex]
Answer: x = 1/3k
Step-by-step explanation:
z
! 10 POINTS !
please help me
Answers
note: two angles that up to 90 degrees are complementary angles
Given: KLMN is a trapezoid, KF =10 MF ║ LK AKLMF = AFMN Find: KN
Answers
The trapezoid is shown in the picture attached.
The area of a triangle is given by the formula:
A(FMN) = (b × h) / 2
= (FN × h) / 2
We can infer that KLMF is a parallelogram. Indeed:
LK // MF, and LM // KF.
The area of a parallelogram is given by the formula:
A(KLMF) = b × h
= KF × h
= 10 × h
We know that the two areas are congruent, therefore:
A(KLMF) = A(FMN)
FN × h / 2 = 10 × h
The two heights are the same, and then cancel out
FN / 2 = 10
FN = 20
Now we can calculate KN by simply adding KF and FN:
KN = KF + FN = 10 + 20 = 30
Hence, KN is 30 units long.
Answer:
30
Step-by-step explanation:
Value of m varies directly as value of n and n=5 when m=12. What is n when m=18?
Answers
m = 12 & n = 5
m = 6 & n = 2.5 (divided each number by 20)
Now m is a factor of 18. Multiply each number by 3.
Answer: m = 18 & n = 7.5
Answer:
7.5
Step-by-step explanation:
what is
[tex] \frac{8}{2} \times 3[/tex]
Answers
Reason/Explanation:
Step 1:
Turn 3 into a fraction.
3/1
Step 2:
Multiply across
8 * 3 = 24
2 * 1 = 2
Answer: 24/2
Step 3:
Simplify
24 divided by 2 = 12
Answer = 12
-DustinBR
to avoid a large shallow reef a ship set a course from point a and traveled 24 miles east to point b . the ship them turn and traveled 33 miles south to point c. if the ship could have traveled in a straight lime from point a to point c about how many miles could it have saved
Answers
Distance traveled= 24 mi +33 mi=57 mi
Next, we are going to use the Pythagorean theorem to find the distance from [tex]a[/tex] to [tex]c[/tex]:
[tex]d^2=24^2+33^2[/tex]
[tex]d^2=576+1089[/tex]
d^2=1665
[tex]d= \sqrt{1665} [/tex]
[tex]d=40.8[/tex] mi
Finally, we are going to subtract the two distances:
57 mi -40.8 mi= 16.2 mi
We can conclude that if the ship could have traveled in a straight lime from point a to point c, it could have saved 16.2 miles.
McCune Landscaping buys 100 shovels for $15 each. McCune sells all 100 shovels at $29.99. What is the profit?
Answers
help subtraction problem
5.30 - 3.75
Answers
the area of a circle can be tripled by multiplying the radius by what factor?
Answers
Because the formula for the area of a circle is [tex] \pi [/tex]×r².
So let us say the radius for circle A is 1. so area is equal to. [tex] \pi [/tex]×2²
which is equal to 12.56
Now you need to triple the area, so if i am in the right path you would multiply area of circle A 3 times leaving you with 37.699
Now, we make use of the equation solving skills.
The way to find the radius is.
A= [tex] \pi [/tex]×r²
So
√(A÷[tex] \pi [/tex])
So puting and solving the equations the factor of multiplication gives us 1.73
What is the first quartile of the data set? {51, 42, 46, 53, 66, 70, 90, 70} A-48.5 B-59.5 C-61 D-80
Answers
To find this you must:
1. Order the data from least to greatest.
42, 46, 51, 53, | 66, 70, 70, 90
2. Next, find where the middle of the data set it - see the line above
3. Look at the lower half of the data - see the bold half above.
4. Find the middle of that half - see the underlined numbers above.
5. Find the middle of the 2 numbers
(46 + 51)
2 = 48.5
48.5 is the 1st quartile.
Answer:
I'm positive the answer is 48.5
the volume of a cylinder is 1,692.46 in cubed. if the radius becomes three times as large, what will be the cylinder's volume?
Answers
To find the new volume of the cylinder, multiply the original volume by 9.
Explanation:To find the new volume of the cylinder, we need to find the new radius first. Since the radius becomes three times as large, the new radius will be 3 times the original radius. Next, we substitute the new radius into the volume formula for a cylinder.
V = πr²h
Let's assume the original radius is 'r' and the original volume is 1,692.46 in³. Therefore:
1,692.46 = πr²h
The new radius will be 3r, so the new volume becomes:
V = π(3r)²h = 9πr²h
So, the new volume of the cylinder will be 9 times the original volume or 9 * 1,692.46 = 15,231.14 in³.
Michael saw a Sunday suit he wanted at the store. The cost of the suit was $96. A few days later he saw that the suit was marked 1/4 off. How much does the suit cost now?
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Jill earned $40 from a carpool plus $9 per hour babysitting this week. Which of th following expression beat represents jill’s Income for the week?
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How would you find the number, 3/7 of which is equal to t? (let's say it was any number, just need the equation)
Answers
(3/7) x = t
I can't think of anything useful to add to this. How about an example?
Let x = 49
(3/7) x = t
(3/7) * 49 = t seven will go into 49
3 * 49 = t
t = 147
Arlen has a recipe for lasagna that serves 8 people and uses 2 teaspoons of garlic. How many teaspoons of garlic will be used to make a lasagna that serves 4 people?
A 1 teaspoon
B 2 teaspoon
C 3 teaspoon
D 4 teaspoon
Please help kinda lost thank you
Answers
The ratio for this problem is 8, 2, where 8 is the people, and 2 is the teaspoons. 4 people is half of 8 when you divide 8/4 so you have to do the same with the other part of the ratio. when you split 2 in half, you get 1 teaspoon as your answer
Hope this helps :)
One of the UK lottery systems consists of selecting six numbers from forty-nine for a one-pound stake. The winning numbers are drawn at random and the order is not important. Determine the probability that a randomly selected set of six numbers will win the lottery.
4.167 × 10-6
8.63 × 10-7
5.467 × 10-6
7.15 × 10-8
Will mark branliest
Answers
So to determine the probability that a set of six randomly selected numbers wins the lottery we need to first draw the combination of 6 in 49 without repetition:
C (49.6) = 49! / (6! (49-6)!) = 13983816
Then there are 13983816 combinations of possible numbers for this case.
Finally the probability is:
p = 1/13983816
p = 7,151 x10 ^ -8
The correct option is the last
Answer:
The last answer is correct
lou has 1/2 of a circular pizza left over from a party. he takes a third if it as a snack and evenly splits up the rest to share with his three brothers. Assuming that Lou cuts slices from the center of the straight edge, what are the angles of the slices of pizza. Select two that apply.
Answers
What is the value of y?
Answers
The value of [tex]y[/tex] in the given figure, using the rule of angle sum property and linear pair will be [tex]65\\[/tex].
According to angle sum property, the sum of all the sides of a triangle will be [tex]180^o[/tex].
A linear pair is defined as two neighboring angles that sum up to 180° or two angles which result in a line or a straight angle when combined, or it can be said that the sum of linear pair is supplementary.
In the given figure,
∠[tex]x + 130^o = 180^o \ \ \ (linear pair)\\\x = 50^o[/tex]
Now, In triangle ABC, using angle sum property:
[tex]A+B+C= 180^o\\50^o + y + y = 180^o\\50^o + 2y = 180^o\\2y = 130^o\\y = 65^o\\[/tex]
Thus, the value of [tex]y\\[/tex] in the given triangle is [tex]65^o\\[/tex].
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The figure is added below.
the dimensionn of the box that a radio came in are 12in. 8in by 5in
Answers
The volume of the box is calculated by multiplying its length, width, and height together. The volume of the box that the radio came in is 480 cubic inches.
Explanation:The dimensions given for the box are its length (12in.), width (8in.), and height (5in.). In mathematics, you can use these three dimensions to calculate the volume of the rectangular box. The volume of a rectangular box is calculated by multiplying these three dimensions together. So, the volume of the box is 12in. * 8in. * 5in. = 480 cubic inches. Remember, when you multiply three dimensions together, the unit is cubic (inches cubed in this case), because you're dealing with a three-dimensional space.
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What fraction of 55 is 33? Please show work!?
Answers
60% = 60/100 = 3/5
so
3/5 x 55 = 33
answer
3/5 of 55 is 33