In the following figure (AB) ∥(CD). Suppose that m∠1=32°. What is m∠6? Explain your reasoning
Answers
Answer:
148
Step-by-step explanation:
angle 1=3
angle3=7=32 degrees
angle6+angle7= 180
angle 6=180-32
angle 6= 148 degrees
The measure of m<6 is 148.
What are properties of parallel lines?Properties of Parallel Lines
Parallel lines are the set of lines that lie on the same plane but never intersect each other, even if you extend them infinitely.
The pairs of corresponding angles are equal.The pairs of vertically opposite angles are equal.The pairs of alternate interior angles are equal.The pairs of alternate exterior angles are equal.The pair of interior angles on the same side of the transversal is supplementary.Given:
m∠1=32°
Now, using vertical opposite angle
m<1 = m<3 = 32
Now, using same- side interior transversal
m<3 + m<6 = 180
32 + m<6 = 180
m<6 = 180-32
m<6 = 148
Hence, the measure of angle 6 is 148.
Learn more about parallel lines here:
https://brainly.com/question/16701300
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Related Questions
Solve for x.
8(x + 1) - 3(x + 4) = 7(2 - x)
a. x = 1 1/2
b. x = 1 1/4
c. x = -1 1/4
d. x = -1 1/2
Answers
Answer:
A. x=1 1/12
Step-by-step explanation:
8x+8-3x-12=14-7x
5x-4=14-7x
5x+7x=14+4
12x=18
x=18/12
x=1 1/2
Answer:
1 1/12
Step-by-step explanation:
What is the equation of the line that passes through the point (6, -1) and has a
slope of 1?
Answers
Answer:
y = x – 7
Step-by-step explanation:
Answer:
y= x -7
Step-by-step explanation:
The equation of a line can be written in the form of y=mx+c (also known as slope-intercept form), where m is the gradient and c is the y-intercept.
Given that the slope is 1, m= 1.
Substitute the value of m into the equation:
y= 1x +c
y= x +c
To find the value of c, substitute a pair of coordinates.
When x= 6, y= -1,
-1= 6 +c
c= -1 -6 (-6 on both sides)
c= -7
Thus, the equation of the line is y= x -7.
A bushel had a total of 68 apples. 25% of the apples were green and the rest of the apples were red. How many more red apples were there than green? step by step pls
Answers
In 2011 Ralph paid $12.95 for a box of cards and $0.44 each for 16 stamps. What was the total cost, in dollars and cents, of the box of cards and stamps?
Answers
Answer:
$19.99
Step-by-step explanation:
0.44 x 16 = 7.04
7.04 + 12.95 = 19.99
please helpppppppppp
Answers
Answer:
[tex]kb = {2}^{10} \\ gb = {2}^{30} [/tex]
tb = product of kb and gb
[tex]tb = kb \times gb \\ tb = {2}^{10} \times {2}^{30} \\ = {2}^{40} [/tex]
what is the ratio of 50 and 10
Answers
Answer:
5:1
Step-by-step explanation:
10 the greatest common factor.
50 divided by 10 is 5
10 divided by 10 is one
5 comes first then 1.
Answer:
5:1
Step-by-step explanation:
50 to 10 is the same thing as 50:10To simplify, find the LCM of each number, which is 10: 50 ÷ 10 = 5, 10 ÷ 10 = 1Re-write the ratio: 5:1I hope this helps!
Solve for x. (1 point) −3x + 2b > 8 x < the quantity negative 2 times b plus 8 all over negative 3 x > the quantity negative 2 times b plus 8 all over negative 3 x < the quantity 2 times b minus 8 all over negative 3 x > the quantity negative 2 times b minus 8 all over 3
Answers
Given:
[tex]-3x+2b>8[/tex]
To find:
The value of x.
Solution:
We have,
[tex]-3x+2b>8[/tex]
To find the value of x, we need to isolate x on one side.
Subtract 2b from both sides.
[tex]-3x>8-2b[/tex]
Divide both sides by -3. On multiplying or dividing an inequality by a negative number, we need to change the sign of inequality.
[tex]\dfrac{-3x}{-3}<\dfrac{8-2b}{-3}[/tex]
[tex]x<\dfrac{-2b+8}{-3}[/tex]
The required inequality for x is [tex]x<\dfrac{-2b+8}{-3}[/tex].
Therefore, the correct option is A.
Write a numerical expression for the verbal expression.
The difference of twenty-two and six divided by the sum of five and three
Answers
A new vehicle is worth $2500. If it depreciates records in value 12% per year, after 6 years what will it be worth
Answers
Answer:
Step-by-step explanation:
2500 - 12%
12% of 2500 = 300
2500 - 300 = 2200
12% of 2200 = 264
2200-264=1936
Repeat another 4 times
the sum of two consecutive integers is 62. what are the two consecutive integers?
Answers
Answer: So our two integers are 17 and 45.
Step-by-step explanation:
The two integers are 17 and 45, See how we got it. X+Y=62. Substitute our first expression here for y, we have X+2X+11 =62.
Given that,
the two numbers are consecutive(also odd)
The two numbers are
x and x + 2
Sum of the numbers = 62
x + (x + 2) = 62
x + x + 2 = 62
2x = 62 - 2
2x = 60
x = 60/2
x = 30
Therefore, the two numbers are x = 30 and x + 1 = 32
What is the value of (-12) + (- 33)? Can someone explain the steps to the answer please?.. ASAP
Answers
Answer:
(-12) + (-33) = (-45)
CAN SOMEONE PLS HELP WITH THIS ASAP!!
Answers
Answer:
What is it?
Step-by-step explanation:
PLZ HELP ... ... .......
Answers
What equation can janet use to calculate the principles amount?
It is a try it problem
Answers
2) Divide both side of the equation with rt to isolate the variable p one one side of the equation
Rearrange: I/rt=p. P=I/rt
Result : p=I/rt
what is 505 times 117
Answers
Answer:
Step-by-step explanation:
59 085
You roll a six-sided dice. What is the probability of rolling a 4?
Answers
Answer:
1/6th chance.
P.s.
please give brainliest
Find the slope of the line y = -8x + 1.
Answers
Answer:
Slope is -8
Step-by-step explanation:
The slope is the number in front of x.
At a concert 20 percent of the audience member were teenagers. If the number of teenagers at the concert was 360,what was the total number of audience members?
Answers
Answer: 1,800
Step-by-step explanation: At a concert, 20% of the audience members were teenagers. If the number of teenagers at the concert was 360, what was the total number of audience members? x = ? If you divide 360 by 20% it will give you 1,800 audience members.
how can you solve quadratic equation in one variable using quadratic formula?
Answers
Answer:
Step-by-step explanation:
Here are the steps required to solve a quadratic using the quadratic formula:
Example 1 – Solve: x²-8x+14=0
Step 1: Identify a, b, and c and plug them into the quadratic formula. In this case a = 1, b = –8, and c = 14.
Step 2: Use the order of operations to simplify the quadratic formula.
Step 3: Simplify the radical, if you can. In this case you can simply the radical into:
Step 4: Reduce the problem, if you can. In this case you can reduce the entire problem by 2.
Tom has a faulty light switch. If he calls an electrician to come and fix it, the electrician will
charge him $65 for the house call plus $60 per hour for parts and labor. Tom wants to spend no
more than $100 to repair the switch. The electrician estimates it will take her half an hour to fix
the switch. Should Tom hire her?
Answers
Answer:
yes.
Step-by-step explanation:
tom should hire the electrition to get his light fixed even though it will go 25 dollars over his budget.
help
How exactly would I find a slope to a graph?
Answers
Answer:
If the graph is rising from left to right, like climbing a hill, the slope is positive (on a graph, you could count up y units divided by right x units). If it is going down from left to right (like sliding down a hill), the slope is negative (on a graph you have to count down y units and right x units).
Step-by-step explanation:
Answer:
Most people would do it by subtracting your 2 y points (any points) and dividing the by the two x points. Basically, y2-y1/x2-x1. Hoped I could help you on this one.
Step-by-step explanation:
in scientific notation.
245,600,000,000
Answers
Answer:
2.456 × 10∧11
Step-by-step explanation:
Please help with explanation thank you.
Answers
Answer:
B
Step-by-step explanation:
Let me know how you did
I need to find out the value of x in this triangle because I don’t understand the formula
Answers
Answer:
x = 55 degrees
Step-by-step explanation:
Firstly, as told by the question, we know that this is an isosceles triangle because AB and BC are the same length. This means that angle A and C will be equal. Next, we also know that all angles in a triangle will always add to 180 degrees. Therefore we can write an equation adding up all the angles to solve for x:
Angle A can be represented as 'x'
Angle B is represented 'x+15'
And Angle C can also be represented 'x' as it is equal to angle A
So our formula will be in this format: A+B+C=180
x+x+(x+15)=180
To solve this equation we first take out the brackets and combine like terms:
3x+15=180
Now we need to isolate 'x' so we will end up with a numerical value for it, which we do by subtracting 15 from both sides and then dividing both sides by 3:
3x+15-15=180-15
3x=165
3x/3=165/3
This gives us:
x=55
Hope this helped!
What is the velocity of an object with a kinetic energy of 100 , 000 J 100,000 J100, comma, 000, start text, space, J, end text and a mass of 800 kg 800 kg800, start text, space, k, g, end text? Round your answer, if necessary, to the nearest hundredth.
Answers
Given:
Kinetic energy (KE)= 100,000 J
Mass (m)= 800 kg
To find:
The velocity of the object to the nearest hundredth.
Solution:
We know that,
[tex]KE=\dfrac{1}{2}mv^2[/tex]
where, KE is kinetic energy (in J), m is mass (in kg) and v is velocity (in m/s).
Put KE=100000 and m=800 in the above formula.
[tex]100000=\dfrac{1}{2}(800)v^2[/tex]
[tex]100000=400v^2[/tex]
Divide both sides by 400.
[tex]\dfrac{100000}{400}=v^2[/tex]
[tex]250=v^2[/tex]
Taking square root on both sides.
[tex]\sqrt{250}=v[/tex]
[tex]v=15.8113883[/tex]
[tex]v\approx 15.81[/tex]
Therefore, the velocity of the object is 15.81 m/s.
On Monday,447 students went on a trip to the zoo. All 9 buses were filled and 6 students had to travel in cars. How many students were in each bus ?
Answers
Answer:
There would be 8 people in each bus.
Step-by-step explanation:
Answer:
49 students in each bus
Step-by-step explanation:
The formula for the volume of a square pyramid is V = 1/3 s2h. Choose the formula in terms of h.
Answers
Answer:
h=(v-1/3s)/2
Step-by-step explanation:
If v=1/3 s2h, then you would do the following to find the formula in terms of h:
v-1/3s=2h
(v-1/3s)/2=h
Can i get brainliest please?
Answer:
h=(v-1/3s)/2
Step-by-step explanation:
What is the product of –3 and 5?
-15
-8
8
15
Answers
Answer:
-15
Hope I helped.
Answer:
its A
Step-by-step explanation:
What is the product of –3 and 5? -3x5 5 10 15 so -15 is the answer
Philip writes 2 pages per hour. How many hours will Philip have to spend writing this week
in order to have written a total of 16 pages?
Answers
Answer:
8 hours
Step-by-step explanation:
If he writes 2 pages a hour and needs 16 pages, then you would have to divide 16 by 2 which is 8.
To double check that, you can multiply 8 by 2 which is 16.
You answer is 5 hours.
Answer:
8 hours.
Step-by-step explanation: We must Multiply! 2x1=1 2x2=4 2x3=6 2x4=8 2x5=10 2x6=12 2x7=14 2x8=16! We could also divide as well ! 16 divided by 2= 8! We have a grand total of 8 Hours! I Hope this was helpful!
Maya needs to buy 10.4 tons of rocks for her landscaping company. Each ton of rocks costs $32.90. The salesperson offers to sell the rocks to Maya for $330.
Is Maya saving money if she agrees to this deal?
How much should Maya actually be charged for the rocks?
Answers
Answer:
10.4 × 32.90 = 342.16
so yeah she should take the deal