Answer:
x = 0
Step-by-step explanation:
two congruent angles 2x + 30 and 5x + 30
2x + 30 = 5x + 30
2x = 5x
2x + (-5x) = 5x + (-5x)
-3x = 0
x = 0 / -3
x = 0
The value of x will be;
⇒ x = 0
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
Two angle in a triangle 2x+30 degree and 5x+30 degree are congruent.
Now,
Since, Two angle in a triangle 2x+30 degree and 5x+30 degree are congruent.
Hence, We get;
⇒ 2x + 30 = 5x + 30
Solve for x as;
⇒ 30 - 30 = 5x - 2x
⇒ 0 = 3x
⇒ x = 0
Thus, The value of x = 0
Learn more about the triangle visit:
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Carlos is using the distributive property to evaluate the expression 14 (49) by using friendlier numbers. His work is shown below. Carlos’s Work 14 (49) Step 1 14 (40 + 9) Step 2 14 (40) + 9 Step 3 560 + 9 Step 4 569 What was the first error that Carlos made?
PLZ HELP ME PLZ PLZ PLZ I NEED HELP
Answer:
The 1st error that Carlos made was in Step 2...
In step 2 , Carlos multiplied 14 only with 40. If he would have multiplied 14 with both 40 & 9 , then it could have been alright.....
Please help ASAP please
Answer:
a(sub n)=a(sub n-1)÷4 when n≥2
Step-by-step explanation:
a(sub n)=a(sub n-1)÷4 when n≥2 (the second term)
sorry - my iPad doesn’t let me do subscript. You just have to write an n and n-1 in the lower subscript position after a
Joanne read 84 pages in 4 hours. What is the unit rate?
If Joanne read 84 pages in 4 hours. Then the unit rate for Joanne is 21 pages per hour.
What is the rate?The rate is the ratio of the amount of something to unit time.
For example - If the speed of the car is 20 km/h which means the car travels 20 km in one hour.
Joanne read 84 pages in 4 hours.
Then the rate of the Joanne will be
[tex]\rm Rate = \dfrac{84}{4}\\\\Rate = 21[/tex]
More about the rate link is given below.
https://brainly.com/question/14731228
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I need help please !!
Answer:y=28
Step-by-step explanation:
all triangles add up to 180 and this triangle is an isosceles triangle so 34 should be equal to x-5 meaning that two of the angles are 34 degrees and you just need to subtract 34(2) from 180 which is 180-68 to give you 112. Then since this is the value of 4 times y, just divide 112 by four to isolate the variable and you get 28.
Please help assappppp!!!1
Answer:
(D) C'D' and CD are equal in length
Step-by-step explanation:
When we reflect a line, nothing changes about it except it's position.
The line never gets dilated in any way.
This means that B and C must be incorrect, since they refer to dilating the line.
Now we can think about it. If we reflect a line across the y-axis, that means that the line will be parallel to the original line. This means A is false.
That leaves D.
Hope this helped!
Simplify the polynomial a³+a²+ab
Answer:
a (a^2 + a + ab )
Step-by-step explanation:
Step-by-step explanation:
Step 1:
To simplify this polynomial just take the term a as common
a(a^2+a+b)
Evaluate ab – 0.55 when a
1 and b = 5.
(-2)+6(-5)+9 find the sum
Answer: We should first use order of operations to multiply 6 and -5. Then we add and subtract from left to right.
Demo:
6 * (-5) = -30
Equation looks like: -2 - 30 + 9
-2 - 30 = -32
-32 + 9 = -23
-23 is the answer to this equation.
Question 2 Multiple Choice Worth 2 points)
y Classes
(08.07 LC)
Teacher
Two friends are reading books Jimmy reads a book with 21,356 words. His friend Bob reads a book with one-and-a-half times as many words. Which expression
represents the number of words Bob reads?
O 21,356 x 2
Lessons
21,356 x
1
Assessments
021,356 x
My Grades
O 21.356 x 10
Email
Group
Discussions
Question 3 Multiple Choice Worth 2 points)
Site Map
(08.07 LC)
Vous Question
Question 1 (Not Answered)
ON
Nexd Question
HI
Answer:
[tex]B = \frac{3}{2} * 21,356[/tex]
Step-by-step explanation:
Given
Represent Jimmy with J and Bob with B
[tex]J = 21,356[/tex]
[tex]B = 1\frac{1}{2} * J[/tex]
Required
Determine the expression for B
[tex]B = 1\frac{1}{2} * J[/tex]
Substitute 21,356 for J
[tex]B = 1\frac{1}{2} * 21,356[/tex]
Convert Mixed fraction to improper
[tex]B = \frac{3}{2} * 21,356[/tex]
The above is an expression for B
Solving further, we have
[tex]B = \frac{3 * 21,356}{2}[/tex]
[tex]B = \frac{64068}{2}[/tex]
[tex]B = 32034[/tex]
N•6 as a verbal expression
Answer:
[tex]\large \boxed{\mathrm{The \ product \ of \ N \ and \ 6}}[/tex]
Step-by-step explanation:
[tex]\sf N \cdot 6[/tex]
[tex]\sf N \ and \ 6 \ are \ multiplied.[/tex]
[tex]\sf The \ product \ is \ the \ result \ of \ multiplying.[/tex]
Please answer the question below. Please answer
Answer:
I think of (C.85) can't be constructed
Step-by-step explanation:
hope this helps you :)
Answer:
C) 85
Step-by-step explanation:
Hope this helps
if the product of two identical number is one thousand twenty four. Find out of the numbers
Answer:
32
Step-by-step explanation:
1,024 will be a perfect square if it is the product of 2 of the same numbers:
Calculate the square root of 1024:
[tex]\sqrt{1024}[/tex]
= 32
So, the number is 32
Answer:
32
Step-by-step explanation:
Let the unknown number be n.
When multiplied together, the product is 1,024. Therefore:
[tex]n\cdot n=1024[/tex]
Combine:
[tex]n^2=1024[/tex]
Take the square root of both side:
[tex]n=\sqrt{1024}=32[/tex]
Therefore, the unknown number is 32.
A researcher at a major clinic wishes to estimate the proportion of the adult population of the United States that has sleep deprivation. How large a sample is needed in order to be 95% confident that the sample proportion will not differ from the true proportion by more than 4%?
Answer: n = 600.25 ≈ 601 ( sample size)
the minimum sample size of the adults in United State who have sleep deprivation is 601
Step-by-step explanation:
Given that;
the confidence level = 95% = 0.05
the Margin of error E = 4% = 0.04
∴ level of significance ∝ = 1 - C.L
∝ = 1 - (95/100)
= 0.05
Z∝/2 = 0.05/2 = 0.025
Z-critical value at 95% confidence level is OR level of significance at 0.025 = 1.96 (z-table)
Now to calculate the sample size, we say
n = (Z(critical) / M.E )² P ( 1 - P)
now we substitute
n = (1.96 / 0.04)² × 0.5 ( 1 - 0.5)
n = 2401 × 0.5 × 0.5
n = 600.25 ≈ 601
Therefore the minimum sample size of the adults in United State who have sleep deprivation is 601
Using the formula for the margin of error, it is found that a sample of 601 is needed.
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]\frac{1+\alpha}{2}[/tex].
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
95% confidence level
So [tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so [tex]z = 1.96[/tex].
In this problem:
There is no previous estimate, hence [tex]\pi = 0.5[/tex] is used.The minimum sample size is n for which M = 0.04, hence:[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.04 = 1.96\sqrt{\frac{0.5(0.5)}{n}}[/tex]
[tex]0.04\sqrt{n} = 1.96(0.5)[/tex]
[tex]\sqrt{n} = \frac{1.96(0.5)}{0.04}[/tex]
[tex](\sqrt{n})^2 = \left(\frac{1.96(0.5)}{0.04}\right)^2[/tex]
[tex]n = 600.25[/tex]
Rounding up, a sample of 601 is needed.
A similar problem is given at https://brainly.com/question/25420216
A lending library has a fixed charge for the first three days and an additional charge for each day thereafter. Saritha paid ₹27 for a book kept for seven days, while Susy paid ₹21 for the book she kept for five days. Find the fixed charge and the charge for each extra day.
Answer: fixed charge = 15, extra day = 3
Step-by-step explanation:
Let x represent the charge for an extra day (after 3 days)
Let y represent the fixed charge (for first 3 days)
Equation 1: 7 days is 4 extra days --> 4x + y = 27
Equation 2: 5 days is 2 extra days --> 2x + y = 21
Multiply the second equation by -1 and add the two equations together:
4x + y = 27
-2x - y = -21
2x = 6
x = 3
Input x = 3 into either equation to solve for y:
2x + y = 21
2(3) + y = 21
y = 15
It takes Erin 4 hours to build a statue and Cathy 6 hours to do the same job. How
many hours would it take them to build a statue working together?
What is a “real number “
Consider triangle GHJ. Triangle G H J is shown. Angle G H J is a right angle. The length of the hypotenuse is 10 and the length of another side is 5. What is the length of line segment HJ?
Answer:
[tex]\bold{\sqrt{75}}[/tex]
Step-by-step explanation:
Given
A [tex]\triangle GHJ[/tex] in which
[tex]\angle GHJ = 90^\circ[/tex]
Hypotenuse = 10
Length of another side = 5
To find:
HJ = ?
Solution:
Kindly refer to the image attached in the answer area.
We know that there are only 3 sides in a triangle.
We are given hypotenuse is 10.
i.e. GJ = 10
To find HJ, Base = ?
So, we are given the side length of GH, perpendicular i.e. 5.
Kindly refer to attached image for further details.
Let us use Pythagorean theorem here.
According to Pythagorean theorem:
[tex]\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Perpendicular}^{2}\\\Rightarrow GJ^{2} = GH^{2} + HJ^{2}\\\Rightarrow 10^2=5^2+HJ^2\\\Rightarrow HJ = \sqrt{100-25}\\\Rightarrow \bold{HJ = \sqrt{75}}[/tex]
Answer:
hJ = B 5 route 3
Step-by-step explanation:
got it right on edg 2020-2021
Does anyone know this?
Answer:
Hey there!
The domain is the range of all the x values.
So for this graph, the domain would be [tex]-10<x\leq 8[/tex].
Note that the open circle means < or > and the closed circle means ≤ or ≥.
Let me know if this helps :)
use a number line to determine the new balance of Tims account. What number could be added to the expression 43 + (-52) to result in sum of zero Model your answer using a number line.
Answer:
very urgent by the get together his used handcrafted
Step-by-step explanation:
hand i do like anisajish
the length and width of a rectangle is (x + 4) and x, respectively. what statement best describes (x + 4)?
Answer:
b. length is 4 more than the width.
Step-by-step explanation:
Length - width = x + 4 - x = 4.
Solve the equation: 3x - x + 2 = 4(2x - 1) infinite solutions x = 1 x = -1 no solution
Answer:
[tex]x=1[/tex]
B
Step-by-step explanation:
So we have the equation:
[tex]3x-x+2=4(2x-1)[/tex]
Combine like terms on the left:
[tex]3x-x+2=4(2x-1)\\2x+2=4(2x-1)[/tex]
Distribute out the right:
[tex]2x+2=4(2x-1)\\2x+2=8x-4[/tex]
Subtract 2x from both sides. The left side cancels:
[tex](2x+2)-2x=(8x-4)-2x\\2=6x-4[/tex]
Add 4 to both sides. The right side cancels:
[tex]2+4=(6x-4)+4\\6=6x[/tex]
Divide each side by 6:
[tex](6)/6=(6x)/6\\x=1[/tex]
Therefore, the solution is: x=1.
Plz help me I just started 8th grade.
Answer:
I think this is slope. So for each point you go up 3 units. All of the point should connect into a straight line.
Step-by-step explanation:
Mark Point R on the graph to its coordniates. Do the same to Point D, L and F. after you are done then go back to each point and go up 3 units/points. Then draw a line connecting the 4 points. Then you will have your answer. Hope this helped!
Assume that a, b, and c are real numbers. If a > b, and (a + c) > (b + c), then what is true of c?
Answer:
Problem:
"Assume that a, b, and c are real numbers. If a > b, and (a + c) > (b + c), then what is true of c?"
Answer:
c can be any real number. There is no other conclusion we can come to. This is simply the addition property of inequality.
Answer:
Step-by-step explanation:
c is a real number. We can not know if it is positive or negative
compressed by a factor
of 1/2, horizontally and
vertically translated 5 units
can someone help me find the equation
The value of n is...
Answer:
n =59
Step-by-step-explanation :
Which expressions are equivalent to 3(4h+2k)?
Answer:
(4h+2k)
Step-by-step explanation:
y685
HELP PLEASE IM BEGGING SOMEBODY!!??!
Answer:
0.16
Step-by-step explanation:
We can convert 4 / 25 to 16 / 100. Since 100 ends in 2 zeroes, we know that there will be 2 digits after the decimal point, therefore, the answer is 0.16.
Answer:
0.16 is the answer
Step-by-step explanation:
just simply divide 4 by 25 and you ll get the answer
I need help, please help me
Answer:
1)2A/b=h
2)m1=Fgr'2/Gm2
Step-by-step explanation:
Hope it helps you
If 5/8 is multiplied by 4/5 will the product be greater than the two factors? Explain.
Answer:
Step-by-step explanation:
4/5 is less than 1, so multiplying 5/8 by 4/5 results in a product smaller than the two factors.
The points S, T, U and V all lie on the same line segment, in that order, such that the
ratio of ST : TU: UV is equal to 6:2:3. If SV = 22, find TV.
==============================================
Explanation
Let x be some positive real number such that
ST = 6xTU = 2xUV = 3xleading to the ratio
ST:TU:UV = 6x:2x:3x = 6:2:3
Note how I effectively started with 6:2:3 and multiplied all parts of the ratio by x to get 6x:2x:3x
-----------------
The parts of the ratio add up to the longest segment SV
ST+TU+UV = SV
6x+2x+3x = 22
11x = 22
x = 22/11
x = 2
Therefore,
ST = 6x = 6*2 = 12TU = 2x = 2*2 = 4UV = 3x = 3*2 = 6Note how ST+TU+UV = 12+4+6 = 22, which is the length of SV. This helps confirm we have the correct x value.
-----------------
The last step is to find the length of TV
TV = TU+UV
TV = 4+6
TV = 10
Or you could do
ST + TV = SV
12+TV = 22
TV = 22-12
TV = 10