![Help Me On This!![tex] \\ \\ [/tex]](https://brainimage.s3.us-east-005.backblazeb2.com/contents/attachments/qyRpUDBa9ehFLcb71jdeRHGcna0Yvae3.jpeg)
Answers
So here we are given that a || b and c || d, so the quadrilateral formed by the intersection of the four lines is just a parallelogram, so recall the property of parallelogram that parallelogram's opposite angles are always equal and the interior angles on the same side add up to 180°, and the property of angles that the alternate angles are always equal (that's angles Like in the Shape Z) and vertically opposite angles are equal (like in shape of X) and the property of linear pair i.e the sum of all angles on a plane line is 180°.
Now, as angles 3 and 7 are on a line d, so their sum will just be 180°, by property of linear pair
[tex]{:\implies \quad \sf m\angle 3+m\angle 7=180^{\circ}}[/tex]
[tex]{:\implies \quad \sf m\angle 7+74^{\circ}=180^{\circ}}[/tex]
[tex]{:\implies \quad \sf m\angle 7=180^{\circ}-74^{\circ}}[/tex]
[tex]{:\implies \quad \boxed{\bf{m\angle 7=106^{\circ}}}}[/tex]
Also, as angles 8 and 3 are vertically opposite angles, so they will be same, so we have
[tex]{:\implies \quad \boxed{\bf{m\angle 8=74^{\circ}}}}[/tex]
Now also, angle 7 and angle 11 are opposite angles of the parallelogram, so they will be equal, so we have :
[tex]{:\implies \quad \boxed{\bf{m\angle 11=106^{\circ}}}}[/tex]
Also, the interior angles on same side of Parallelogram add upto 180°, so we can have ;
[tex]{:\implies \quad \sf m\angle 11+m\angle 13=180^{\circ}}[/tex]
[tex]{:\implies \quad \sf m\angle 13+106^{\circ}=180^{\circ}}[/tex]
[tex]{:\implies \quad \sf m\angle 13=180^{\circ}-106^{\circ}}[/tex]
[tex]{:\implies \quad \boxed{\bf{m\angle 13=74^{\circ}}}}[/tex]
Also, Opposite angles of Parallelogram are equal, so angle 6 will be equal to angle 13, so angle 6 will be 74° and we also know the Vertically Opposite angles are equal. So, for angle 1 we have
[tex]{:\implies \quad \boxed{\bf{m\angle 1=74^{\circ}}}}[/tex]
Now, we are end with the conclusion :
[tex]{\bf{m\angle 1=74^{\circ}}}[/tex][tex]{\bf{m\angle 7=106^{\circ}}}[/tex][tex]{\bf{m\angle 8=74^{\circ}}}[/tex][tex]{\bf{m\angle 11=106^{\circ}}}[/tex][tex]{\bf{m\angle 13=74^{\circ}}}[/tex][tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Measure of Angle 3 is given, that is : Angle 3 = 74°
And the lines a and b are parallel, similarly line c and d are parallel to each other as well.
Now, let's just use property of angles on parallel lines to find measure of each angle we have been asked.
[tex]\qquad \tt \dashrightarrow \: \angle1 = \angle3 = 74 \degree[/tex]
[ By Corresponding Angle pair ]
・ ．━━━━━━━†━━━━━━━━━．・
[tex]\qquad \tt \dashrightarrow \: \angle7 + \angle3 = 180 \degree[/tex]
[ By Linear Pair ]
[tex]\qquad \tt \dashrightarrow \: \angle7 = 180 - \angle3 [/tex]
[tex]\qquad \tt \dashrightarrow \: \angle7 = 180 - 74[/tex]
[tex]\qquad \tt \dashrightarrow \: \angle7 = 106 \degree[/tex]
・ ．━━━━━━━†━━━━━━━━━．・
[tex]\qquad \tt \dashrightarrow \: \angle8 = \angle3 = 74 \degree[/tex]
[ By Vertical opposite angle pair ]
・ ．━━━━━━━†━━━━━━━━━．・
[tex]\qquad \tt \dashrightarrow \: \angle7 = \angle11 = 106 \degree[/tex]
[ opposite angles of a Parallelogram ]
・ ．━━━━━━━†━━━━━━━━━．・
[tex]\qquad \tt \dashrightarrow \: \angle13= \angle3 = 74 \degree[/tex]
[ by Corresponding Angle pair ]
Related Questions
Please help me with this. (Geometry)
Answers
Step-by-step explanation:
Pythagoras's rule: [tex]a^2 + b^2 = c^2[/tex] becomes [tex]x^2 + 10^2 = y^2[/tex]
If we say b = 10: [tex]b = 10 = \sqrt{c^2 - a^2} = \sqrt{y^2 - x^2}[/tex]
You only need to look at the left triangle
Which of the options follows Pythagoras's rule?
Let's try the options until we get the right one (in no particular order)
If we try: 3) x = 4 y = [tex]29\sqrt{2}[/tex]...
[tex]\sqrt{(29\sqrt{2})^2 - 4^4} = 7\sqrt{34} \neq 10[/tex]
If we try: 4) x = 16 y = 116...
[tex]\sqrt{116^2 - 16^2} = 20\sqrt{3} \neq 10[/tex]
If we try: 2) x = 16 y = 29...
[tex]\sqrt{29^2 - 16^2} = 3\sqrt{65} \neq 10[/tex]
If we try: 1) x = 4 y = [tex]2\sqrt{29}[/tex]...
[tex]\sqrt{(2\sqrt{29})^2 - 4^2} = 10[/tex]
Tristan is comparing two number patterns based on the information below.
Both patterns start with the number 1.
Pattern A follows the rule “add 3”.
Pattern B follows the rule “add 4”.
How does each of the first 5 terms in Pattern A compare to the first 5 terms in Pattern B?
As part of your answer, list the first 5 terms of each pattern.
Explain your answer.
Answers
Pattern A = 1, 4, 7, 10, 13
Pattern B = 1, 5, 9, 13, 17
Each term is increases at a faster rate in pattern B; the difference between terms increases by one per step. In pattern A, 1 jumps to 4, while in pattern B, 1 jumps to 5. There is a difference of one. But when in pattern A, 4 jumps to 7, in pattern B, 5 jumps to 9. The is a difference of two between these two terms even though they are on the same "jump." This difference increases by one per "jump." (Jump is not the official word for this but I'm assuming this isn't a sequence problem.)
What is the volume of the cylinder below?
Answers
Answer:
C. 2160π units³
Step-by-step explanation:
Volume of a cylinder is given by the formula :
V = πr²h
Substituting values given gives us :
V = π(12)²(15)
V = π(144)(15)
V = 2160π units³ (since it is volume)
Answer:
[tex]\boxed{\sf{C. \quad 2160\pi \quad units^3}}[/tex]
Step-by-step explanation:
It is necessary to use their formula to solve this problem with the volume of the cylinder.
Volume of the cylinder formula:
[tex]\Longrightarrow: \sf{V=\pi r^2h}}[/tex]
[tex]\sf{12^2(15)}[/tex]
Solve.
Use the order of operations.
PEMDAS stands for:
ParenthesesExponentsMultiplyDivideAdd SubtractFirst, solve with exponents.
[tex]\sf{12^2=12*12=144}[/tex]
Then, rewrite the problem down.
144(15)
Multiply.
[tex]\sf{144*15=\boxed{\sf{2160}}}[/tex]
Therefore, the correct answer is C. 2160π units³.Help me with this please.
Answers
Answer:
1. 83 square inches
2. 7.065 square centimeters
Step-by-step explanation:
Hey there!
In order to find the area of the shaded region of the rectangle, you need to first find the area of the whole shape
The dimensions are 10 and 16 and if you multiply them together, you get 160
This means that the area of the whole shape is 160
Now they are asking for the area of the shaded shape, so we need to find the area of the white rectangle, and then subtract that area from 160
The dimensions for the white rectangle is 11 and 7
This means that the area of the white rectangle is 77
Now what we need to do is subtract 77 from 160
160-77=83
So the area of the shaded region is 83 square inches
Now to get to the second question
We need to find the area of the quarter circle
In order to find this, we need to first find the area of the whole circle, then divide that by 2
They gave us the radius already which makes it a lot easier (the radiues is 3)
All we need to do is input 3 into the formula for the area of a circle
[tex]\pi r^2[/tex]
In this case, since they are telling us to use 3.14 as pi, the equation would look like this:
[tex]3.14*3^2[/tex]
This can be simplified to [tex]3.14*9[/tex] which is equal to 28.26
So this is the area of the whole circle
But the question is asking for the area of a quarter of that circle
So what we need to do is divide 28.26 by 4 which is 7.065
So the area of the quarter circle is 7.065 square centimeters
Help will give thanks to the first to answer
Answers
Answer:
[tex]56[/tex]
Step-by-step explanation:
[tex]10 \times 5 + 6[/tex]
[tex]50 + 6 = 56[/tex]
10 (5) + 6
50 + 6 = 56
QS and RT are diagonals of parallelogram QRST. RT = 21, SU = 9, and angle RQT = 101. Find RU and QS.
Answers
Answer:
RU = 10.5, QS = 18
Step-by-step explanation:
RT is 21, and RU is half of RT, making it 10.5
SU is 9, and QS is double of SU, making QS 18.
Kelly has a checking account at a local bank your bank charges five dollars a month to maintain a checking account plus a 0.25 fee for each check Kelly wait last month Kelly paid a total of $7.50 in checking account fees how many checks did Kelly write last month 
Answers
twelve more than the quotient of forty and eight
Answers
Answer:
step by step explanation is given aboveIf you like it please mark as brainliest and follow alsoR=7. 6=h volume for cone 3.14
Answers
Answer:
307.876080 ft^3
Step-by-step explanation:
307.876080 ft3
Please help me thank you!!
Answers
Answer:
24
Step-by-step explanation:
This line is going up by two.
To find the range just count the space between the Maximum and Minimum.
Or subtract the Minimum from the Maximum.
For this, the Minimum is 32.
The Maximum is 56.
Now that we know, let's subtract.
56 - 32 = 24
24 is the range.
Which point is not on the graph of the equation: y = 10 + x?
A. (0, 10)
B. (3, 13)
C. (8, 2)
D. (5, 15)
Answers
The point that is not on the graph of the linear equation y = 10 + x is given by:
C. (8, 2)
What is the definition of the linear equation?It is given by:
y = 10 + x.
Hence, all the points on the graph have the following coordinates:
(x, x + 10).
Option C does not follow this format, hence it is not on the graph.
More can be learned about linear equations at https://brainly.com/question/24808124
#SPJ1
Which of the following is the equation of the function below?
Answers
D. y=2sec[2(x+pi )]-2
Step-by-step explanation:
Casey asks a random sample of students at his school about their natural hair and eye colors. The results of his survey are shown in
the relative frequency table below.
Black
Brown
Hair
Red
Color
Blonde
Total
Brown
0.225
0.350
0,025
0.050
0.650
Eye Color
Blue Other
0.000 0.025
0.125 0.100
0.000 0.025
0.075 0.000
0.200 0.150
Total
0.250
0.575
0.050
0.15
1.000
In the sample, there are 4 more students with brown hair and blue eyes than blond hair and blue eyes.
How many total students have black hair?
Answers
=======================================================
Explanation:
x = total number of students surveyed
According to the table, 0.075 of the students (aka 7.5%) have blond hair and blue eyes. This means 0.075x is the number of blond hair blue eye people.
Also, 0.125x is the number of brown hair blue eye people for similar reasoning as the previous paragraph.
We're told that "There are 4 more students with brown hair and blue eyes than blond hair and blue eyes"
So,
(BrownHair_BlueEyes) = (BlondHair_BlueEyes) + 4
0.125x = (0.075x) + 4
0.125x-0.075x = 4
0.05x = 4
x = 4/0.05
x = 80
There are 80 students surveyed.
Of those eighty students, 0.075x = 0.075*80 = 6 have blond hair and blue eyes; while 0.125x = 0.125*80 = 10 have brown hair and blue eyes. Notice how this is four more than the blond person count with blue eyes. This confirms we have the correct sample size.
The last step is to calculate how many of the students have black hair based on the sample size we just found.
The table shows 25% = 0.250 of the students have black hair, so 0.25x = 0.25*80 = 20 students have black hair
help!
factor as the product of biomionals
64-16x+x^2
Answers
Answer:
(x-8)(x-8) are the factors of the following biominals
Answer:
Step-by-step explanation:
Hello help math math math
Answers
Answer:
S=N+2
Step-by-step explanation:
Just a heads up I don't think that this is correct
If Susan is 2 years older than Nancy then N=S-2 which stands for Nancy is 2 years yonger than Susan. So for the bottom eqaution, if Susan is 2 years older than Nancy then that should be S=N+2 to stand for the fact that Susan is 2 years older than Nancy.
I AM SO SORRY IF THIS ISN'T CORRECT
-dani <3
Answer:
S=N+2
Step-by-step explanation:
factor completely 36x-60
Answers
Explanation:
1) Highest common factor is 6, as 36 and 60 are both divisible by 6.
2) Take the highest common factor (6) outside of brackets and throw everything else inside the brackets.
3) 6 times ?= 36x
?= 6x so we get: 6(6x___)
4) 6 times?= -60
?= -10 so we get: 6(__-10)
5) Combine your knowledge of both and get the answer: 6(6x-10)
Hope that helps and is simple enough!
how much longer is 18.25 centimeters than 75.4 milimeters
Answers
Answer:
10.71
Step-by-step explanation:
You first convert 75.4 millimeters to centimeters, and you will get 7.54. Now you subtract 18.25 and 7.54 to get the answer 10.71
A family has a phone plan that includes 6 GB of data per month. 15 days into a 30-day month, the family has used 2 GB. At that rate, how many GB will the family use for the entire month?
Answers
Answer:
4GB
Step-by-step explanation:
cause if you think about it if they already have used 2GB in half the month then its' reasonable to think it would be 4GB. simple math
the sum of the digits of a two - digit number is 14 . if the digits are reversed, the number increases by 36 . find the number .
Answers
Let the tens digit of the number be x .
ones digit = ( 14 - x ) ( since the sum of the 2 digits is 14 )
Two - Digit number = 10 ( tens digit ) + ones digit
Required number ,
10x + ( 14 - x ) 10x - x + 14 9x + 14Reversed number ,
10 ( 14 - x ) + x 140 - 10x + x 140 - 9xGiven ,
Reversed number - Required number = 36
✯ 140 - 9x - ( 9x + 14 ) = 36
✯ 140 - 9x - 9x - 14 = 36
✯ 126 - 18x = 36
✯ 126 - 36 = 18x
✯ 18x = 90
✯ x = 5
Ten digits , x = 5 Ones digits = ( 14 - x ) = 14 - 5 = 9♧ Thus , Required number is 10 × 5 + 9 = 59
Given -
the sum of the digits of a two - digit number is 14.i.e, if two numbers are x and y then, x + y = 14
if the digits are reversed, the number increases by 36i.e, if 10y + x then 10y + x = 10x + y + 36.
To find -
the numberConcept -
If a, b and c are real number (and if a and b both are not equal to 0) then ax+by=c is called a linear equation in two variables (The two variables are x and y)
The numbers a and b are called the coefficient of the equation ax+by=c. The number r is called the constant of the equation ax+by = c
PS - first we will construct two linear equations and then we'll find the number.
Solution -
Let, x + y = 14
➜ y = 14 - x ----(i)
and we'll solve 10y + x = 10x + y + 36 further,
➜ 10y + x = 10x + y + 36
➜ 10y - y = 10x - x + 36
➜ 9y = 9x + 36
➜ 9x - 9y = -36
➜ 9(x - y) = -36
➜ x - y = -4 ----(ii)
Substituting the value of y (in equation (i)) in equation (ii),
➜ x - (14 - x) = -4
➜ x - 14 + x = -4
➜ 2x = -4 + 14
➜ 2x = 10
➜ x = 10/2
➜ x = 5
Now to find the value of y we will substitute the value of x in equation (i),
➜ y = 14 - 5
➜ y = 9
Therefore, the number is {10(5)+9,i.e,} 59.
A 5-card hand is dealt from a well-shuffled deck of 52 playing cards. What is the probability that the hand contains cards from at least 3 different suits?
Answers
Answer:
0.2637
Step-by-step explanation:
P(A) = 4 x (13/2) x 13^3/(52/5) = (rounded: 0.264) (Real answer: 0.2637)
Help
…… asap no links
Answers
Answer:
Answer Linked below
Step-by-step explanation:
At a swim meet, 8 different swimmers compete in the 800- meter freestyle race. How many different ways are there for these swimmers to finish
Answers
Using the arrangements formula, it is found that there are 40,320 ways for these swimmers to finish.
What is the arrangements formula?The number of possible arrangements of n elements is given by the factorial of n, that is:
[tex]A_n = n![/tex]
In this problem, there are n = 8 swimmers, hence they can finish arranged in 8! ways, that is:
[tex]A_8 = 8! = 40320[/tex]
More can be learned about the arrangements formula at https://brainly.com/question/24648661
A total of 590 tickets were sold for the school play. They were either adult tickets or student tickets. There were 60 fewer student tickets sold than adult tickets. How many adult tickets were sold?
Answers
Answer:
325 adult tickets
Step-by-step explanation:
This "sum and difference" problem can be solved by assigning a single variable to the quantity you want to know. Let 'a' represent the number of adult tickets sold. Then (a-60) is the number of student tickets sold, and the total number sold is ...
a +(a -60) = 590
2a = 590 +60
a = 650/2 = 325
There were 325 adult tickets sold.
__
Check
325-60 = 265 student tickets were sold, for a total of 325+265 = 590.
_____
Additional comment
You may have noticed that the larger number of tickets (number of adult tickets) was found to be the average of the two numbers given in the problem statement. That will generally be the case for a "sum and difference" problem.
What is the answer????
Answers
Let's see
(10y)²=(6y)²+64²100y²-36y²=(64)²64y²=64²y²=64y=√64y=8Answer:
y = 8
Step-by-step explanation:
A 3-4-5 right triangle, and its multiples, are the only ones with rational side lengths in the ratio 3:5. In other words, the 6y : 10y side ratios mean that ...
3 : 4 : 5 = 6y : 64 : 10y
or
64 = 8y
y = 8 . . . . . . . divide by 8
Miguel cut 1/4 from a round pie. Mariah cut a piece from the same pie with an angle measure of 60 degrees who cut the larger piece? Explain.
Answers
Answer: Since the pie is round it is a circle, and all circles have 360 degrees in total. Miguel cut 1/4 of the pie and 1/4 x 360 = 90. 90 is greater than 60.
Step-by-step explanation:
Answer:
Miguel has the larger piece. 1/4 is equal to 90, because 360/4 = 90.
So Miguel has the larger piece
Step-by-step explanation:
What is mS?
A. 56
B. 68
C. 112
D. 124
Answers
Answer:
[B] 68
Step-by-step explanation:
Given:
the figure in the picture
Solution:
Q - 124 + 56 =180
Since, r is also 56 degrees that means S is 68 degrees because the sum of each angle has to add up to 180 degrees.
Step by step solving below:
Q = 180 - 124
Q = 56
56 (m∠Q) + 56 (m∠ R) = 112
S = 180 - 112
S = 68
Thus, the answer is [B] 68 which also means m∠ 68
Kavinsky
Answer:
mS = 68 (B)
Step-by-step explanation:
First, we are given mR, which is 56.
Next, we can figure out mQ by subtracting 124 from 180 (because it's a straight line) :: 180 - 124 = 56, SO, mQ = 56
Now, we know that the sum of all the interior angles is 180, so we'll subtract mR and mQ from that....
180 - (mR + mQ) >> 180 - (56 + 56) >> 180 - 112 = 68
therefore, mS = 68
which law would you use
Answers
Solve by factoring.
4m2−3m−27=0
Answers
Answer:
[tex]m = 3 m = - \frac{9}{4} [/tex]
Step-by-step explanation:
correct me if I'm wrong
The sum of five consecutive integers is 46 less than 9 times the least of the integers. Find the largest consecutive integer.
Question 6 options:
A)
17
B)
10
C)
18
D)
19
Answers
Answer:
C) 18
Step-by-step explanation:
Let x represent the largest of the five consecutive integers. Then (x -4) is the smallest, and the sum of the five of them is ...
sum = 5((x +(x -4))/2 = 5x -10
That sum is 46 less than 9 times the smallest.
__
This relation can be written as ...
5x -10 = 9(x -4) -46
72 = 4x . . . . . . . . . . . . add 82-5x and simplify
18 = x . . . . . . . . . divide by 4
The largest of the consecutive integers is 18.
_____
Additional comment
Here, we have used the variable to represent what the problem is asking for--the largest of the integers. Often, in consecutive integer problems, it is convenient to let a variable represent the middle (or average) value of the consecutive integers. If we do that here, then sum of the 5 integers would be 5x, and the relation to find x would be ...
5x +46 = 9(x -2)
This resolves to 64=4x ⇒ x=16, so the largest integer is x+2=18. The number of steps is about the same, but the sum is easier to find, and there aren't as many constant terms to play with in solving for x.
If you spin the spinner, what is the probability it will stop on a multiple of 3? 1/4, 1/2, 3/20, 3/10.
Answers
Probability = number of desired outcomes / number of total outcomes
Multiples of 3 = 3, 6, 9, 12, 15, 18 = 6 possibilities
Total number of outcomes = 20
6 / 20 = 3 / 10
Answer: 3/10
Hope this helps!