Given:
Consider the below figure attached with this question.
[tex]m\angle 3=(x+30)^\circ[/tex] and [tex]m\angle 4=(2x-80)^\circ[/tex].
To find:
The measure of angle 3.
Solution:
From the below figure it is clear that, angle 3 and angle 4 are vertically opposite angles.
We know that, vertically opposite angles are always equal. So,
[tex]m\angle 3=m\angle 4[/tex]
[tex](x+30)^\circ=(2x-80)^\circ[/tex]
[tex]x+30=2x-80[/tex]
[tex]x-2x=-30-80[/tex]
[tex]-x=-110[/tex]
[tex]x=110[/tex]
Now,
[tex]m\angle 3=(110+30)^\circ[/tex]
[tex]m\angle 3=140^\circ[/tex]
Therefore, the measure of angle 3 is 140 degrees.
Find the perimeter of the image below
Answer:
46
Step-by-step explanation:
Answer:
26.1
Step-by-step explanation:
Took the same test lol
is y – 4x = 9 a function?
473 heartbeats in 5 1/2 minutes
Answer:
86 heartbeats per minute
Step-by-step explanation:
i assume that's your question?
the number of heartbeats per minute is 86.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given that, 473 heartbeats in [tex]5\frac{1}{2}[/tex] = 11/2minutes
Number of heart beats per minute = Total number of heart beats ÷ Number of minutes
= 473÷ 11/2
= 473×2/11
= 43×2
= 86 beats per minute
Therefore, the number of heartbeats per minute is 86.
To learn more about the unitary method visit:
brainly.com/question/22056199.
#SPJ2
A typical ID number in a college class consists of a four-digit number, such as 0119. When an ID number is randomly selected, what is the probability that no two of its digits are the same
Answer:
[tex]Probability = 0.504[/tex]
Step-by-step explanation:
Given
[tex]ID: 4\ digit\ number[/tex]
Required
Determine the probability that no two digit is repeated
First, we need to determine the total possible number of pins (with repetition)
Each of the 4 ID digit can be selected from any of the 10 digits (0 - 9).
i.e.
[tex]First = 10[/tex]
[tex]Second = 10[/tex]
[tex]Third = 10[/tex]
[tex]Fourth = 10[/tex]
[tex]Total = 10 * 10 * 10 * 10[/tex]
[tex]Total = 10000[/tex]
i.e.
[tex]n(Repetition) = 10000[/tex]
Next, we determine the total possible number of pins (without repetition)
Once a digit is selected from any of the 10 digits (0 - 9), it can no longer be repeated.
i.e.
[tex]First = 10[/tex]
[tex]Second = 10 - 1 = 9[/tex]
[tex]Third = 10 - 1 - 1= 8[/tex]
[tex]Fourth = 10 - 1 - 1 - 1 = 7[/tex]
[tex]Total = 10 * 9 * 8 * 7[/tex]
[tex]Total = 5040[/tex]
i.e.
[tex]n(No\ Repetition) = 5040[/tex]
The probability is then calculated as:
[tex]Probability = \frac{n(No\ Repetition)}{n(Repetition)}[/tex]
[tex]Probability = \frac{5040}{10000}[/tex]
[tex]Probability = 0.504[/tex]
PLEASE THIS IS DUE IN 10 MINUTES!!!!!!!!!!!!!!
The diameter of a decorated plate is 20 centimeters. There is a flower painted every 15.7 centimeters around the edge of the plate. How many flowers are painted on the plate? Use 3.14 for π
Answer:
4
Step-by-step explanation:
Circumfrence is 2piR or piD, 20x3.14=62.8, 62.8/15.7=4
Answer:
4 flowers
Step-by-step explanation:
-Circumference of a circle formula: dπ (diameter times pi)
-So plug 3.14 for π and 20 for the diameter to solve it:
20(3.14) which equals 62.8
-Do 62.8 divided by 15.7 to find how many flowers are around the edge (circumference):
62.8 ÷ 15.7, which equals 4
Answer: 4 flowers
Hope this helped! :)
CAN SOMEONE HELP ME, WILL GIVE BRAINLLEST pls
Answer:
I think both are 75
Step-by-step explanation:
I know the bottom one is definitely 75.
For the top, if you substitute 75 for the y and 1 for the X, the only answer is 75. Please Mark Brainliest if correct.
What is/are the constant(s) of 2x + 9 + 7x?
Answer:
9 is the constant.
Step-by-step explanation:
2x+9+7x
=9x+9
where 9 is the constant because 9 is the number which is not multiplied to any variables.
Solve the equation 6x+3y=3 to get it into slope-intercept form.
Answer:
y =− 2 x + 1
Step-by-step explanation:
Can somebody please help me with this!!
Answer:
612 266.56 centimeters im pretty sure
Step-by-step explanation:
just times them all
NEED HELP
6-9x = 7x - 10x - 30
The value of x is
Answer: X=6
Step-by-step explanation: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
6-9*x-(7*x-10*x-30)=0
Pulling out like terms
1.1 Pull out like factors :
36 - 6x = -6 • (x - 6)
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation:
2.2 Solve : x-6 = 0
Add 6 to both sides of the equation :
x = 6
A necklace chain cost $100,00. Beads cost $20,00 each. You spend a total of
$220.00 on a necklace and beads, How many beads did you buy in addition to the
necklace?
Answer:
6
Step-by-step explanation:
220-100=120, 120/20=6
Tuan made a histogram to represent the distances students in his homeroom live from the school.
Which statement is true?
A.
The data distribution is symmetric.
B.
The data distribution is skewed to the left.
C.
The data distribution is skewed to the right.
D.
The data distribution is both symmetric and skewed.
Answer:
C: The data distribution is skewed to the right.
Step-by-step explanation:
Took the test on Edmentum and got it right.
Hii please help, if you give a correct answer with explaining I’ll give Brain liest or whatever it’s called :)
The answer is 11. 220/20=11 110/10=11 55/5=11 and so on. I hope this helps:)
Answer:
11
Step-by-step explanation:
Since 20/220, and 10/110, 5/55, 1/11.
WILL MARK BRAINLIEST
Answer:
x = 15
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Sum the 3 given angles and equate to 180, that is
3x - 10 + 6x + 5 + 4x - 10 = 180, simplify left side
13x - 15 = 180 ( add 15 to both sides )
13x = 195 ( divide both sides by 13 )
x = 15
What is the area of this quadrilateral?
Answer:
The area of the quadrilateral is 12 square feet. (B)
Step-by-step explanation:
To find the area of a triangle, we use the formula (L x W) / 2
The bottom triangles are both the same size, so we only need to find the area of one. The width of the triangle needs to be divided by two because we only need to know half of the big triangle on the bottom at the moment. So we have (3 x 2) / 2 = 3. We can then multiply that by two and the area of the bottom triangle is 6. To solve for the top, (3 x 4) / 2 = 6. We can then add together the top and the bottom to get B, 12 square feet.
Hope this helps!
Hedgehog68
if a solution 2(2x-1)=5x^2 is expressed in simplest form a + bi form the value of b is
Answer:
b = 0.4899
Step-by-step explanation:
Given;
2(2x-1)=5x²
4x - 2 = 5x²
5x² - 4x + 2 = 0
this is a quadratic equation with;
a = 5, b = -4 and c = 2
[tex]x = \frac{-b \ \ + /-\ \ \sqrt{b^2 - \ 4ac} }{2a} \\\\x = \frac{-(-4) \ \ + /-\ \ \sqrt{(-4)^2 - \ 4(5*2)} }{2(5)} \\\\x = \frac{4 \ \ + /-\ \ \sqrt{16 - \ 40} }{10} \\\\x = \frac{4 \ \ + /-\ \ \sqrt{-24} }{10}\\\\x = \frac{4 \ \ +/-\ \ (\sqrt{24)} (\sqrt{-1} ) }{10} \\\\x = \frac{4 \ \ +/-\ \ (\sqrt{24)} (i )}{10}\\\\ x = \frac{4 \ \ +/-\ \ (4.899) (i )}{10}\\\\ x = \frac{4 \ \ +\ \ (4.899) (i )}{10} \ \ or \ \ x = \frac{4 \ \ -\ \ (4.899) (i )}{10}\\\\[/tex]
in terms of a + bi, it will be simplified as;
[tex]x = \frac{4}{10} + \frac{(4.899) (i)}{10} \\\\x = 0.4 + 0.4899i[/tex]
Therefore, b = 0.4899
When the given expression is expressed in the simplest form of [tex]a+bi[/tex] then the value of b is 0.4899.
Given-
The given expression in the problem is,
[tex]2(2x-1)=5x^2[/tex]
Simplify this,
[tex]4x-2=5x^2[/tex]
Arrange the above equation,
[tex]5x^2-4x+2=0[/tex]
Compare the above equation with general quadratic equation,
[tex]ax^2+bx+c=0[/tex]
we get,
[tex]a=5[/tex]
[tex]b=-4[/tex]
[tex]c=2[/tex]
Find the roots of the [tex]x[/tex] . The formula to find the roots of a quadratic equation can be given as,
[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]
[tex]x=\dfrac{-(-4)\pm\sqrt{(-4)^2-4\times5\times2} }{2\times 5}[/tex]
[tex]x=\dfrac{4\pm\sqrt{16-40} }{10}[/tex]
[tex]x=\dfrac{4\pm\sqrt{-24} }{10}[/tex]
[tex]x=\dfrac{4\pm\sqrt{-24}\sqrt{-1} }{10}[/tex]
[tex]x=\dfrac{4\pm 4.899i} {10}[/tex]
Take positive sign we get,
[tex]x=\dfrac{4+ 4.899i} {10}[/tex]
Take negative sign we get,
[tex]x=\dfrac{4-4.899i} {10}[/tex]
Compare the simplified form of [tex]a+bi[/tex] with the root of [tex]x[/tex]
[tex]x=0.4+ 0.4899i[/tex]
here,
[tex]b=0.4899[/tex]
Hence when the given expression is expressed in the simplest form of [tex]a+bi[/tex] then the value of b is 0.4899.
For more about the quadratic equation follow the link below-
https://brainly.com/question/2263981
PLSSSS HELPPPPP ILL GIVE BRAINLEIEST
Which sequence follows the rule y=2x+8?
A. 10,12,14,16,18
B .10,28,64,136
C. 1,11,21,31,41
D. 16,32,48,64,80
Pls explain or i will report you for just answering for points.
Answer:
a
Step-by-step explanation:
as x would be numbers going up for example y=2(1)+8. 2 times 1 is 2 plus 8 is 10 then u do 2. 2(2)+8 is 2 times 2 which is 4 plus 8 that is 12 and no other sequence is 10,12 so it is A
I need help please !
Answer:
(-3,-2), (-3,-5), (-4,-5), (-7,-2)
Step-by-step explanation:
anyone else rlly hype FOR ALL THE NEW ANIME COMING IN 2021 LIKE AODNIAOEINOAINDOAEINDAIENd
Answer:
Excuse me? Sir?/
Step-by-step explanation:
Where were u these days
Answer:
Anime is the only family I'm ever gonna have T^T
Step-by-step explanation:
William is making a pie, he uses 1/2 cup of strawberries. And he uses 2/3 cup of pineapple, What is the total of fruit in Williams Pie?
Please Drop Answers Below. I need this to pass.
Answer:
1 cup of fruit
Step-by-step explanation:
1/2 cup of strawberries + 2/3 cup of pineapple = 3/3
3/3 = 1
hope this helps
Answer: 1 1/6
Step-by-step explanation:
You are adding the fractions; they do not have the same denominator so you have to find a common denominator which is six. Multiply the numerator and denominator for the first fraction by 3 and multiply the numerator and denominator for the second fraction by 2. After that you are left with a denominator of six and a numerator of 3+4. You you solve 3+4 which equals 7. You then get 7/6 can you simplify that fractions 1 1/6.
Hope this makes sense.
true or false. if there are two solutions to a system of linear equations then there are an infinite number of solutions.
. Find the values of the variables in ▱DEFG.
Answer:
sorry i dont have enough information
Step-by-step explanation:
Trinity runs 147 meters in 35 seconds assuming her speed constant: a. write an equation for Trinitys distance, d, in terms of the time she had been running, t. b. how many meters did trinity run if she ran for 1.5 minutes show your work
Answer:
nb
Step-by-step explanation:
I will give 15 brainly points pls help
Solve for x. Round to the nearest tenth
Answer:
x ≈ 11.5
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASGeometry
Pythagorean Theorem (Right triangles only): a² + b² = c²Step-by-step explanation:
Step 1: Define
leg a = x
leg b = 6
hypotenuse c = 13
Step 2: Solve for x
Substitute: x² + 6² = 13²Exponents: x² + 36 = 169Isolate x term: x² = 133Isolate x: x = √133Evaluate: x = 11.5326Round: x ≈ 11.5An ice cream shop sells ice cream cones for $3.50 each. The amount Tyler pays for some ice cream cones (y) is directly proportional to the number he buys (x). Which equation represents the direct proportion?
Answer:
f(x) = 3.50x
Step-by-step explanation:
Write an expression that shows the sum of exactly two terms that is equivalent to 3(2x + 5y).
Answer:
6x+15y
Step-by-step explanation:
Just distribute the 3 to the coefficients
6x+15y
Can someone help me with this please?
helpppppppppppp. djhdbxjdj
Answer: Bro You need to take the picture higher -_-
Step-by-step explanation:
2+4x4x4+5(6-3)x2 divided by 3 = 76
slope intercept form with (-1,2) and (5,4)
Answer:
m= 1/3
Step-by-step explanation:
m= y2-y1/x2-x1
m= 4-2/5-(-1)
m= 2/6
m= 1/3
15 dimes out of 24 coins express in a fraction or simplest form
Answer:
15/24
Step-by-step explanation:
15 of 24 would be 15/24