For lines a , c , and d , line c is parallel to line d and m ∠ 1 = 55 ° . Part A: For the given diagram, use the measure of ∠ 1 to find the measure of the remaining seven angles. Part B: In two or more complete sentences, explain the relationship between angle pairs a) ∠ 1 and ∠ 7 and b) ∠ 1 and ∠ 2 . in your explanation, include how you calculated each of the angle measures in the special angle pairs.
Answer:
Part A:
1, 4, 5, and 8 = 55 degrees.
3, 2, 6, and 7 = 125 degrees.
Part B:
I know that angle 1 is 55 degrees so angle 7 would be 125.
I know that angle 1 is 55 and to get angle 2, both angles should add up to 180 so 180 - 55 is 125, that is how I find angle 2 = 125 degrees.
Step-by-step explanation:
This is what I wrote, I hope it helps and tell me if I am wrong but I think it is right.
Have a Meowgical day!
Part A:
The values of the angles are:
∠1 = 55
∠2 = 125
∠3 = 125
∠4 = 55
∠5 = 55
∠6 = 125
∠7 = 125
∠8 = 55
Part B:
∠1 and ∠7 are exterior angles on the same side.
∠1 and ∠2 form a straight angle.
We have,
Part A:
From the figure,
∠1 and ∠5 are corresponding angles.
So,
∠1 = ∠5 = 55
And,
∠1 and ∠8 are alternate exterior angles.
∠1 = ∠8 = 55
And,
∠1 and ∠4 are vertical angles.
∠4 = 55
And,
∠5 and ∠8 are vertical angles.
∠5 = 55
Now,
∠1 and ∠2 form a straight angle.
This means,
∠1 + ∠2 = 180
∠2 = 180 - 55
∠2 = 125
And,
∠5 and ∠6 forms a straight angle.
This means,
∠5 + ∠6 = 180
∠6 = 180 - 55
∠6 = 125
Now,
∠2 and ∠3 are vertical angles.
∠6 and ∠7 are vertical angles.
This means,
∠3 = 125
∠7 = 125
Part B:
∠1 and ∠7 are exterior angles on the same side.
This means,
∠1 + ∠7 = 180
Substituting the values.
55 + 125 = 180
180 = 180
This is true.
And,
∠1 and ∠2 form a straight angle.
This means,
∠1 + ∠2 = 180
55 + 125 = 180
This is true.
Thus,
The values of the angles are:
∠1 = 55
∠2 = 125
∠3 = 125
∠4 = 55
∠5 = 55
∠6 = 125
∠7 = 125
∠8 = 55
And,
∠1 and ∠7 are exterior angles on the same side.
∠1 and ∠2 form a straight angle.
Learn more about corresponding angles here:
https://brainly.com/question/1597341
#SPJ2
Expand and simplify
(x - 1)(2x + 3)
Answer:
2x^2+x-3
Step-by-step explanation:
Answer:
2x² + x - 3
Step-by-step explanation:
You need to foil the equation.
Foil = (a + b)(c + d) = ac + ad + bc + bd
(x - 1)(2x + 3)
x · 2x = 2x²
x · 3 = 3x
-1 · 2x = -2x
-1 · 3 = -3
Putting them together gets us:
2x² + 3x - 2x - 3
Add like terms to simplify it.
2x² + x - 3
Question 6
A machine is used to fill bags with a popular brand of trail mix. The machine is calibrated so the distribution of the weights of the bags of trail mix is normal,
with mean 240 grams and standard deviation 3 grams. Of the following, which is the least weight of a bag in the top 5 percent of the distribution?
Answer:
D. 246 grams
Step-by-step explanation:
invnorm(.95, 240, 3) is around 244 and the question is asking for the least weight of a bag in the top 95%, so the smallest number within
a. 234
b. 240
c. 243
d. 246
e. 248
is d.
The distribution of the mix follows inverse normal distribution
The least weight of a bag in the top 5% is 246 grams
The given parameters are:
[tex]\mathbf{\mu = 240}[/tex] ---- population mean
[tex]\mathbf{\sigma = 3}[/tex] ---- population standard deviation
To get the least weight of a bag in the top 5%, we make use of inverse normal distribution.
So, we have:
[tex]\mathbf{Least = invNorm(p,[\mu,\sigma])}[/tex]
Being in the top 5% means that:
p = 1 - 5%
p = 1 - 0.05
p = 0.95
So, we have:
[tex]\mathbf{Least = invNorm(0.95,240,3)}[/tex]
From the inverse normal calculator, we have
[tex]\mathbf{Least = 246}[/tex]
Hence, the least weight is 246 grams
Read more about inverse normal distributions at:
https://brainly.com/question/15798227
HELP MEEE!
7th gradeeeee
Answer:
Distribuitive Property (I think)
Step-by-step explanation:
This example is can be shown in another way, like:
1.(a+3) = a+3
You apply the distribuitive multiplying "a" and "3" by "1".
And then you can take away the parentheses.
What is a fraction equal to 2/3? *
Answer:
i dont know
Step-by-step explanation:
HELPPP MEHH PLZZZ ILL GIVE 30 PIONTS
Think back to the rock climbing activity you did in groups before winter break. If you didn't do it, click on the link on your Period's general page and look at it.
How did you feel about solving differences with positive and negative rational numbers?
(Example: She climbed 5 feet and fell 3 feet. Her final elevation is 2 feet).
Rate on a scale from 1-5.
1= I had a lot of difficulty with the activity.
5=I felt confident about the activity.
Why? 2-5 sentences.
Answer:
A: 10:1. 24 inch seat = 2 feet. 2 x 30 seats = 60-foot section. 60:6 simplified = 10:1. Lights. Q: Your stadium will have 8 large light towers to illuminate the field for night ... Question 1: The stadium design currently has a 3:2 ratio of premium seats to ... bleacher seats (20,000 ÷ 5 = 4,000 bleacher seats, and 20,000 – 4,000 ...
Step-by-step explanation:
Answer:
I will rate the activity as a 3. I am not a pro rock climber, but I am not the worst either. I think if I kept on at it though, I would get better and maybe actually enjoy it. I think I feel good about solving differences with positive and negative rational numbers.
Step-by-step explanation:
You BETTER give 30 points ;)
What is the slope-intercept form of the
equation of the line graphed on the
coordinate plane below?
Answer:
First we find the y intercept which is 1 y = mx + b m is slope b is y intercept
y = mx + 1
slope is 2
y = 2x + 1
Step-by-step explanation:
help me please:(((((
Answer:
I will do the first one for you 115/24
Step-by-step explanation:
First find the prime number is of the number on the bottom of the fraction
Second after finding the prime numbers multiple all the times number starting with the bigger number’s prime number, and if the other prime number have a pair dont add them into equation. Ex 8-2 2 2 and 4-2 2 the 8 has 3 (2s) cancelling out the 4’s( 2s) other ex. 6-2 3 and 18- 2 3 3 the 18 has a 2 and 3 cancelling out the 6’s 2 and 3 making it multiple 2x3x3
Third after finding this number at step (2) this is the number at the bottom of the fraction making it easy to do any equations on it
Hope this helps :D
wing
You find that the number of
messages you recelve on your
message board varies directly as
the number of messages you post.
When you post 5 messages, you
receive 12 messages in return.
Find the number of messages you
need to post to receive 96
messages.
Solve for r. 5(r - 10) = -51 Enter the answer in the box.
What’s the solution for x- 4 = 2
Answer:
6
Step-by-step explanation:
6-4=2
Answer: x=6
Step-by-step explanation:
x-4=2
x = 2+4
x=6
Check: 6-4=2
can someone pls answer this question for my sis she's in the 4th grade and i don't remember how to solve this
17/15 - 4/5
TYSM( btw worth twelve points )
Answer:
i think its 13/45
Step-by-step explanation:
Lisa started with $50 and saved $15 a week. Which equation describes the growth of her savings with X as the number of weeks and Y as the total dollars?
Answer:
I believe its X=15Y+50
Step-by-step explanation:
There are 13 coins, all either nickels or quarters. The value of the coins is $1.85. How many quarters are there?
I have a math question
Answer:
D. RS = DQ
Step-by-step explanation:
SSS = Side-side-side congruence criteria!
One is given, other is common, and we have RS=DQ
Answer/Step-by-step explanation:
According to the Side Side Side rule (SSS) Side RQ is congruent to side DS.
RQ ≅ DS.
This means that in order to complete the chart:
RS ≅ DQ
A fighter pilot needs to make an emergency landing. He needs a clear space that is at least 600 m long to land safely. He is flying at an altitude of 300 m. He sees a small empty field. The angles of depression from the jet to the two ends of the field are 30° and 56° [5]
a) How long is the field?
b) Can he land safely?
(a) See the attached sketch. The jet makes a right triangle with the ground with hypotenuse y. Since the angle of depression is 56°, and the plane in which the jet is flying 300 m in the air is parallel with the ground, the angle of elevation in the right triangle is also 56°. Use the definition of sine to solve for y.
sin(56°) = (300 m)/y → y = (300 m)/sin(56°)
The uppermost angle in the blue triangle has measure equal to the difference between the two given angles of depression, 56° - 30° = 26°, and the rightmost angle is also 30° by the same reasoning as before. Then by the law of sines,
x/sin(26°) = y/sin(30°) → x = sin(26°)/sin(30°) y ≈ 317.2627 m
(b) No, the field is not long enough.
In a right triangle, the length of one leg is 3 cm. The length of the other leg is 2 cm. What is the length of the hypotenuse?
Answer:
A
Step-by-step explanation:
hypotenuse is
a squared+ b squared= c squared
3 squared +2 squared=6 squared
so the actual answer is the square root of 6!
pls mark me as brainliest!!<3
i NEED HELP PLS bsbdbdhdhdjfn
Answer: y = 4x
Step-by-step explanation:
Use rise over run. The points on the line will help you figure out the slope.
Solve for X.
x+3
4
8
Answer:
First find the hypotenuse of the small triangle then use that value as the base of the upper triangle. Evaluate the equation formed with the “x"
Find the measure of each angle indicated.
50°
82
Answer:
48⁰
Step-by-step explanation:
TAKE NOTE: The sum of interior angles of a triangle equals 180.
STEP 1: SET UP YOUR EQUATION
x + 50 + 82 = 180
STEP 2: SOLVE
x + 50 + 82 = 180
x + 132 = 180
x = 48
Ramona has a bag that contains candies of the same size and shape. There are 5 green candies, 4 orange candies and 3 yellow candies. She draws a candy at random, replaces it, and then draws a second candy. What is the probability that both candies will be orange?
Answer:
the answer is 1/3
Step-by-step explanation:
what are the coordinates of the point ? SHOW STEP BY STEP
Answer:
(3, 0)
Step-by-step explanation:
Use the formula:
[tex]\frac{a}{a+b}[/tex](x2 - x1) + x1, [tex]\frac{a}{a+b}[/tex](y2 - y1) + y1
a and b are the numbers in the ratio: a:b
Substitute everything into the equation.
2/2+1(6 - -3) + (-3)
2/2+1(1 - -2) + (-2)
Now combine like terms.
2/3(9) -3
2/3(3) -2
Solve.
6 - 3
2 - 2
(3, 0)
I hope this helps!
−7(−2x+6)
Select one:
−9x−42
14x+6
14x−42
−14x−42
Answer:
14x-2 is answer
Step-by-step explanation:
may be this is helpful!
Definition and Example. Please Help me if you can.
Answer: Polynomial-an expression of more than two algebraic terms, especially the sum of several terms that contain different powers of the same variable.(like 2x+5)
Coefficient-a numerical or constant quantity placed before and multiplying the variable in an algebraic expression (like 4 in 4x y)
Step-by-step explanation:
Can somebody please find the answer I will mark brainliest
Answer:
1= 102°,3=78°,4=102°
5=102°,6=78°,7=78°,8=102°
Step-by-step explanation:
if ur right I'll give u brainliest
Answer:
D
Step-by-step explanation:
only b and d have the equation equal on both sides
and only D has it that 5 is the hypotenuse, and the opposite angle is 90 degrees
Answer:
D
Step-by-step explanation:
i just took the test hope this helps
20. Find the solution to the system of equations by substitution.
x+y=6
3x-y= -22
Please solve step by step
Answer:
need more info sorry
Step-by-step explanation:
8n+ 103=15n+75 answer
[tex] = > 8n+ 103 = 15n + 75 \\ [/tex]
[tex] = > 103 - 75 = 15n - 8n \\ [/tex]
[tex] = > 28 = 7n\\ [/tex]
[tex] = > n = \frac{28}{7} = 4 \\[/tex]
So the value of n is 4Amber has been working very hard and finally got a salary increase of 100%. She was earning $200 per week. How much is she earning now?
Answer:
100% of 200 is 200, so she's now making $400 per week
Step-by-step explanation:
i hope this helped :)
PLEASE HELP :((
The MPO team scored the following number of points in their basketball games this season: 23, 30, 18, 34, 43, 29, 29, 37, and 35. What do they need to score in the tenth game to have an average of 30?
Answer
32 is the answer....