Line I is parallel to line m. If the measure of <6 is 75, what is the measure of <3
Answers
Answer:
m∠3 = 105°
Step-by-step explanation:
Line 'l' is parallel to line 'm' and a transversal is intersecting these parallel lines at two distinct points.
m∠3 + m∠6 = 180° [Consecutive interior angles]
Since, ∠6 = 75° [Given]
m∠3 + 75° = 180°
m∠3 = 180 - 75
= 105°
Therefore, measure of ∠3 is 105°.
In the given diagram, the measure of ∠3 is 105°
From the question,
We are to determine the measure of ∠3
In the diagram, ∠3 and ∠6 are consecutive interior angles
NOTE:
If two parallel lines are cut by a transversal, then the pairs of consecutive interior angles formed are supplementary
That is,
∠3 + ∠6 = 180°
From the given information,
∠6 = 75°
Then, we can write that
∠3 + 75° = 180°
∠3 = 180° - 75°
∠3 = 105°
Hence, the measure of ∠3 is 105°
Learn more on finding the measures of angles here: https://brainly.com/question/2883630
Related Questions
what is the measure of the central angle that represents blue backpacks?
Answers
Answer:
Yes it is 10
Step-by-step explanation:
A compound is made up of various elements totaling 90 ounces. If the total amount of uranium in the compound weighs 18 ounces, what percent of the compound is made up of uranium? If necessary, round your answer to the nearest hundredth.
Answers
Answer:
20%
Step-by-step explanation:
The percent of the compound that is made of uranium is calculated as:
(Number of ounces of uranium /Number of ounces of the compound)
× 100
Total amount of uranium in the compound weighs = 18 ounces
A compound is made up of various elements totaling = 90 ounces.
Hence:
= 18/90 × 100
= 1800/90
= 20%
Therefore, the percent of the compound that is made up of uranium is 20%
Can anyone help me please?
Answers
Answer:
area= 50.2654825
dssssss
Answer:
48 if pi is equal to 3
50.48 if pi is equal to 3.14
Step-by-step explanation:
Pineview Middle School has 158 fewer students enrolled than Wellington Middle School. If Pineview Middle has 1039 students enrolled, how many students are enrolled at Wellington Middle?
Answers
Mary Beth could jump 42 times each minute. How many times could she jump in two hours explain to me step by step
Answers
Answer:
5,040 jumps
Step-by-step explanation:
Let's figure out the number of jumps per hour
42 steps/minute * 60 minutes/hour = 2,520 jumps/hour
Mary Beth is jumping for 2 hours, so we need to multiply by 2 hours.
2,520 jumps/hour * 2 hours = 5,040 jumps
If the distance from the center of a Ferris wheel to one of the seats is approximately 90 feet what is the distance traveled by a seated person, to the nearest foot, in four revolutions r=90 feet
Answers
Answer: 2261.9 ft
Step-by-step explanation: One trip around is one circumference of a circle. The circumference is 2πr. That's 2(π)(90 ft) = 565.4867 ft. Multiply by 4 trips around for a total distance of 2261.9 ft If you care about significant figures, then you only have report sig fig, so that's 2000 ft.
The total distance traveled by the seated person is 2260.8 feet.
How do you calculate the distance?Given that the distance from the center of the wheel to the seat is 90 feet. The seated person travels for 4 revolutions.
The distance traveled by the seated person in one revolution will be equal to the circumference of the wheel has a radius of r. Hence the circumference of the wheel is given below.
One revolution = [tex]2\pi r[/tex]
One revolution = [tex]2 \times 3.14\times 90[/tex]
One revolution = 565.2 feet
Hence the distance covered in four revolutions can be calculated as below.
Total Distance = [tex]4 \times 565.2[/tex]
Total Distance = 2260.8 feet
Hence we can conclude that the total distance traveled by the seated person is 2260.8 feet.
To know more about the distance, follow the link given below.
https://brainly.com/question/1214027.
A $310 suit is marked down by 20%. Find the sale price.
Answers
Answer:
the answer is 62!
Step-by-step explanation:
multiply
Answer:
$248
Step-by-step explanation:
310/100=3.1
3.1x20=62
310-62=248$
Domain and Range NAME: MR. Q State the domain and range for each graph and then tell if the graph is a function (write yes or no). 1) Domain 2) Domain 3Doman Range Range Range Function? Function? Function?
Answers
Answer:
1) Domain = -3 ≤ x ≤ 2
Range = -4 ≤ y ≤ 5
Function? No
Step-by-step explanation:
From the given graph, we have;
The domain of the dot plot = -3 ≤ x ≤ 2
The range of the dot plot = -4 ≤ y ≤ 5
From the given data plot, we have that a straight line joining the data points is in the form of an arrow head with one value of the input (independent) variable, 'x', giving two values of the output (dependent) variable, 'y', such as the input, x = 1, gives two output, y = -2, and y = 3
Therefore, the relation is not a function as one input value produces two output values.
The base of a parallelogram is 6 ft more than the height. If the area of the parallelogram is 55 ft^2, what are the measures of the base and the height?
Answers
Answer:
Height = 5 ft
Base = 11 ft
Step-by-step explanation:
The area of a parallelogram is
Base × Height
From the question:
The base of a parallelogram is 6 ft more than the height.
Base = 6ft + h
If the area of the parallelogram is 55 ft^2,
what are the measures of the base and the height?
This is calculated as:
55 ft² =( 6 + h ) × h
55 = 6h + h²
h² + 6h - 55 = 0
h² +5h - 11h - 55 = 0
h(h + 5) - 11(h + 5) = 0
(h + 5)(h - 11) = 0
h - 11 = 0
height = 5ft
Base = 6 + h = 6 + 5
Base = 11ft
PLEASE answer as soon as you can! First correct answer will get BRAINLIEST!!! :)
Answers
Answer:
(x-3)(x-5)
Step-by-step explanation:
Answer:
x = 3 or x= 5
Step-by-step explanation:
Δ = (-8)² - 4×15
= 64- 60
=4
and 4≥0
so x = (8 - √4 )÷2 = 3
or x= (8 + √4 )÷2 = 5
so P(x) = (x-3) (x-5)
Which equation represents the line that passes through the points (-3, 7) and (9,-1)? oy--3x+5 o y=-x-7 o y=zx-7 oy - 12 2x+5
Answers
Answer:
use the slope equation (y2-y1) / (x2 -x1). plug in values and solve
(-1 -7) / (9 -(-3)) (subtracting a negative is the same as adding a positive)
-8 / 12 (simplify)
m = -2/3
then, plug in one of the points and the slope into the slope-point equation.
(y - y1) = m (x - x1) (the point-slope form)
y - 7 = -2/3( x - (-3)) (plug in the slope and point 1 values, then solve)
y - 7 = -2/3x - 2 (add 7 to both sides)
y = 2/3x +5 (the answer)
Step-by-step explanation:
I hope this helps :))
Bill is looking for a job as a gym teacher. he plans to send resumes to 130 schools in his state. Kinko's charges $30 per 100 copies and sells them only in sets of 100.
a. How many copies will bill have to purchase if he is to have enough resumes?
b. how much will the copies cost bill, including the 6% sales tax?
Answers
B. He will have to pay $60 for the copies plus the %6 tax which would be a total of $63.60
Which of the following fractions makes the number sentence true?
2/7 * _ = 2/7
A. 2/5
B. 5/2
C. 5/5
D. 4/4
Answers
Evaluate the expression when a= 1/4 and b = 6.
16a2 – 4b=
Answers
Step-by-step explanation:
HERE,
a=[tex]\bold{\dfrac{1}{4} }[/tex]
b=6
so,
According to the question,
[tex]\bold{16a^2-4b }[/tex]
[tex]\bold{16\times(\dfrac{1}{4})^2-4\times 6 }[/tex]
[tex]\bold{ 16\times \dfrac{1}{16}-24 }[/tex]
[tex]\bold{\cancel{16}\times \dfrac{1}{\cancel{16}}-24 }[/tex]
[tex]\bold{1-24 }[/tex]
[tex]\bold{ -23 }[/tex]
Hi! If you could please do my assignment, I'd be grateful! I'll also mark brainliest, giving thanks, and hearts for the best. Thank you!!!
Answers
Answer:
1. AD
2. 5.2 cm
3. x = 4
4. BC
5. 3
6. x = 12
Step-by-step explanation:
Barbara has b bags of rice that each contain 4 pounds of rice. She has another bag that has 3 pounds of rice. Write an algebraic expression that shows how many pounds of rice Barbara has.
Answers
Answer:
Emani call me after before we go back to school i got 100 on it
Step-by-step explanation:
Help needed. Will mark brainliest. Please help:c
Answers
Answer:
Kindly check explanation
Step-by-step explanation:
Given that:
Cost of owning and operating a printer :
Purchase Cost = $100
Printing per per page = $0.05
Thus, owning and operating cost :
Purchase cost + (Printing per page * number of pages)
Number of pages = p
100 + 0.05p
Service cost :
Amount per page = 0.25
Total revenue = cost per page * number of pages
Total revenue from service =. 0.25p
The equation :
100 + 0.05p = 0.25p ; is the owning and operating cost = total revenue
It gives the equation to calculate the number of pages at which total revenue equals owning and operating cost.
100 + 0.05p = 0.25p
100 =0.25p - 0.05p
100 = 0.20p
p = 100/0.2
p = 500
When number of pages equals 500; the owning and operating cost is equal to the revenue made.
Which of the following is true about the inequality below?
*>9
A. The inequality has an infinite number of solutions.
B. The inequality has no solutions.
C. The inequality has 2 solutions.
D. The inequality has 1 solution.
i need to know asap!!!
Answers
Answer:
I'm guessing A, but am not sure, as for any number can go there if it's over 9!
If the Volume of a box is 250 feet3 and the height is 5 feet and the length is 5
feet, what is the measurement of the width?
Answers
Answer:
10 feet
Step-by-step explanation:
Use the volume formula, V = lwh, to solve for w
Plug in the values we know:
V = lwh
250 = (5)(w)(5)
250 = 25w
10 = w
So, the width is 10 feet
Solve for x please!!!!!nowwww
Answers
Answer:
x = 37
Step-by-step explanation: Every angle in a triangle adds up to 180, so we can set up an equation where (x + 48) + (x + 58) = 180. From here, we can combine like terms to get 2x + 106 = 180. 180-106 is 74. 74 divided by 2 is 37. So, x = 37.
The dimensions of a square are altered so that 10 inches is added to one side while 1 inch is subtracted from the other. the area of the resulting rectangle is 80in^2. how much larger is the area of the rectangle compared to the square?
Answers
The area of the rectangle is 44 square inches larger than the area of the square.
What is the area of the rectangle?The area of a rectangle is defined as the product of the length and width.
Let represents the original side length of the square "s", then the dimensions of the rectangle are (s+10) inches and (s-1) inches.
So the area of the rectangle is (s+10)(s-1) = s² + 9s - 10.
Since the area of the rectangle is given as 80 square inches, we can set up the equation:
s² + 9s - 10 = 80
Solving this equation for s, we find that s = 6. This means that the original side length of the square was 5 inches.
The area of the square is s² = 6² = 36 square inches. So the area of the rectangle is 80 square inches and the area of the square is 36 square inches.
Therefore, the area of the rectangle is 80 - 36 = 44 square inches larger than the area of the square.
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help me again pleaseee
Answers
Answer:
a). x = 10.20 in
b). x = 2.24
Step-by-step explanation:
a). By applying Pythagoras theorem in the given right angle,
(Hypotenuse)² = (Leg 1)² + (Leg 2)²
(15)² = x² + (11)²
225 = x² + 121
x² = 225 - 121
x² = 104
x = √104
x = 10.198 ≈ 10.20 in
b). By applying Pythagoras theorem,
(3x)² = (2x)² + (5)²
9x² = 4x² + 25
9x² - 4x² = 25
5x² = 25
x² = 5
x = √5 = 2.24
3 people can build a shed in 8 hours.
How long would it take 5 people?
Give your answer in minutes.
Answers
Answer:
The answer is 288 minutes
please help me it's in like 10 minutes..................
Answers
Answer:
The annual interest rate is 12.05%
Step-by-step explanation:
Answer please.............
Answers
Answer:
Option D: 1 is the correct answer.
Step-by-step explanation:
Given that:
n(x) = 7x+4
n(x) = 11
Putting n(x) = 11 in first function.
11 = 7x + 4
Now, we will subtract 4 from both sides
11 - 4 = 7x + 4 - 4
7 = 7x
7x = 7
Dividing both sides by 7
[tex]\frac{7x}{7}=\frac{7}{7}[/tex]
x = 1
Hence,
Option D: 1 is the correct answer.
If mZLKO = 72°, then what is mZJKH?
B
C
E
A
►F
H Η
M
Answers
Answer:
d-"5"_""__"_'uvyctxycuvycycycyv
what’s the length of E to D
what’s the length of B to E
Answers
Given:
In triangle ACD, BE||CD, AB = 20 cm, BC = 5 cm, CD = 18 cm, AE = 26 cm.
To find:
(a) The length of ED.
(b) The length of BE.
Solution:
In triangle ABE and ACD,
BE||CD, so angle ABE and angles ACD are corresponding angles. So, their measure are equal.
[tex]m\angle ABE=m\angle ACD[/tex] (Corresponding angles)
[tex]m\angle BAE=m\angle CAD[/tex] (Common angle)
Now,
[tex]\Delta ABE\sim \Delta ACD[/tex]
Corresponding sides of similar triangles are proportional.
[tex]\dfrac{AB}{AC}=\dfrac{BE}{CD}=\dfrac{AE}{AD}[/tex]
(a)
[tex]\dfrac{AB}{AC}=\dfrac{AE}{AD}[/tex]
[tex]\dfrac{20}{20+5}=\dfrac{26}{AD}[/tex]
[tex]\dfrac{20}{25}=\dfrac{26}{AD}[/tex]
[tex]0.8=\dfrac{26}{AD}[/tex]
Isolate AD.
[tex]0.8AD=26[/tex]
[tex]AD=\dfrac{26}{0.8}[/tex]
[tex]AD=32.5[/tex]
Now,
[tex]AD=AE+ED[/tex]
[tex]32.5=26+ED[/tex]
[tex]32.5-26=ED[/tex]
[tex]6.5=ED[/tex]
Therefore, the length of ED is 6.5.
(b)
[tex]\dfrac{AB}{AC}=\dfrac{BE}{CD}[/tex]
[tex]\dfrac{20}{25}=\dfrac{BE}{18}[/tex]
[tex]0.8=\dfrac{BE}{18}[/tex]
Multiply both sides by 18.
[tex]14.4=BE[/tex]
Therefore, the length of BE is 14.4.
Decrease £280 by 15%
Answers
Answer:
238
Step-by-step explanation:
280 times 0.85 = 238
Analyze the diagram below and complete the instructions that follow.
X
459
3
45°
Find the value of x.
A V3
B. 3V2
2
2
Answers
Answer:
B.y-Step-bstep explanation:
ok so
the triangle has 3 angle
45-45-90
one 45 points to x
that means the other side is also x
the 90 degrees points to 3
3=x√2
x=2.12132
The value of x in the given diagram is 3√2, Option C is correct.
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
The given triangle has 45-45-90 degrees.
We have to find the value of x in the given triangle.
The cosine function is ratio of the adjacent side by hypotenuse.
cos 45= 3/x
The value of cos 45 degrees is one divided by root 2.
1/√2 =3/x
Now apply the cross multiplication
x=3√2
Hence, the value of x in the given diagram is 3√2, Option C is correct.
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Which calculation will ALWAYS give a result greater than 1? 89 × a number less than 1 7 × a number less than 1 125 − a fraction less than 25 37 + a fraction less than 12
Answers
Answer:
The answer is "Option C".
Step-by-step explanation:
Please find the correct question in the attached file.
[tex]\to 1 \frac{2}{5} = \frac{7}{5} \\\\let \\ \to \frac{7}{5} =1.4\\\\\to \frac{2}{5}= 0.4\\\\\to 1.4- 0.4\\\\ \to 1\\[/tex]
Its outcome is 1.4 if we subtract from 0.4. However, a fraction of less than 2/5 may be deducted. This means that the outcome still exceeds 1, that's why choice C is correct.